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Base

Definition: Base

Base

Adjective

1. Serving as or forming a base; "the painter applied a base coat followed by two finishing coats".

2. (used of metals) consisting of or alloyed with inferior metal; "base coins of aluminum"; "a base metal".

3. Of low birth or station (`base' is archaic in this sense); "baseborn wretches with dirty faces"; "of humble (or lowly) birth".

4. Not adhering to ethical or moral principles; "base and unpatriotic motives"; "a base, degrading way of life"; "cheating is dishonorable"; "they considered colonialism immoral"; "unethical practices in handling public funds".

5. Having or showing an ignoble lack of honor or morality; "that liberal obedience without which your army would be a base rabble"- Edmund Burke; "taking a mean advantage"; "chok'd with ambition of the meaner sort"- Shakespeare; "something essentially vulgar and meanspirited in politics".

6. (archaic) illegitimate.

7. Debased; not genuine; "an attempt to eliminate the base coinage".

Noun

1. Any of various water-soluble compounds capable of turning litmus blue and reacting with an acid to form a salt and water; "bases include oxides and hydroxides of metals and ammonia".

2. Installation from which a military force initiates operations; "the attack wiped out our forward bases".

3. Lowest support of a structure; "it was built on a base of solid rock"; "he stood at the foot of the tower".

4. Place that runner must touch before scoring; "he scrambled to get back to the bag".

5. (in a digital numeration system) the positive integer that is equivalent to one in the next higher counting place; "10 is the radix of the decimal system".

6. The bottom or lowest part; "the base of the mountain".

7. (anatomy) the part of an organ nearest its point of attachment: "the base of the skull".

8. A lower limit: "the government established a wage floor".

9. The fundamental assumptions underlying an explanation; "the whole argument rested on a basis of conjecture".

10. : a support or foundation; "the base of the lamp".

11. : the bottom side of a geometric figure from which the altitude can be constructed; "the base of the triangle".

12. : the place where you are stationed and from which missions start and end.

13. : (linguistics) the form of a word after all affixes are removed; "thematic vowels are part of the stem".

14. : the stock of basic facilities and capital equipment needed for the functioning of a country or area; "the industrial base of Japan".

15. : the principal ingredient of a mixture; "glycerinated gelatin is used as a base for many ointments"; "he told the painter that he wanted a yellow base with just a hint of green"; "everything she cooked seemed to have rice as the base".

16. : a flat bottom on which something is intended to sit; "a tub should sit on its own base".

17. : (electronics) the part of a transistor that separates the emitter from the collector.

Verb

1. Use as a basis for; found on; "base a claim on some observation".

2. Use (purified cocaine) by burning it and inhaling the fumes.

3. Assign to a station.

Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved.
 

Date "base" was first used in popular English literature: sometime before 1010. (references)

Etymology: Base \Base\ (b[=a]s), adjective. [Old English bass, French bas, low, from Late Latin bassus thick, fat, short, humble; compare to Latin Bassus, a proper name, and Welsh bas shallow. Compare to Bassa part in music.]. (references)

 

Specialty Definition: Base

DomainDefinition

Computing

Base radix. Source: The Free On-line Dictionary of Computing.

Aerospace

A quantity, the powers of which are assigned as the unit value of columns in a numeric system; for example, two is the base in binary notation, and ten in decimal notation. Also called radix . See logarithm, binary notation. (references)

Building & Civil Engineering

A continuous slab of concrete, generally reinforced, laid over the ground as a foundation for a structure. Source: European Union. (references)
 A course directly supporting the surfacing. Source: European Union. (references)

Chemistry

A compound which yields hydroxyl ions in aqueous solution; and which reacts with an acid to form water and a salt. Source: European Union. (references)

Electrical Engineering

The object upon which the metal is electro-plated. Source: European Union. (references)
 That part of a lamp which holds it in a lampholder and usually provides connection to the electric supply. Source: European Union. (references)
 In a vacuum tube, the insulated portion through which the electrodes are connected to the pins. Source: European Union. (references)
 In a bipolar transistor, the intermediate region between the emitter and collector, which usually serves as the input or controlling element of the transistor's operation. Source: European Union. (references)
 That part of the envelope of an electronic tube which carries the majority of pins and contacts used to connect the electrodes to the external circuit. Source: European Union. (references)

Environment

That part of a vibration machine to or upon which the subject of a vibration test or experiment is attached or placed. Source: European Union. (references)

Food & Agriculture

In a plough, the group of the parts associated with cutting, lifting and turning the furrow slice. Source: European Union. (references)

Health

In chemistry, the nonacid part of a salt; a substance that combines with acids to form salts; a substance that dissociates to give hydroxide ions in aqueous solutions; a substance whose molecule or ion can combine with a proton (hydrogen ion); a substance capable of donating a pair of electrons (to an acid) for the formation of a coordinate covalent bond. (references)

Hydrologic

A substance that has a pH of more than 7, which is neutral. A base has less free hydrogen ions (H+) than hydroxyl ions (OH-). (references)

Industry

The key that is used in the distribution of the interlacings when plotting a satin weave on design paper. By means of the counter the correct warp end and filling pick interlacing is determine d. Source: European Union. (references)
 The running surface of the ski; a protective layer of lacquer or plastic covering the running surface of the ski and designated to make the ski slide easier. Source: European Union. (references)

Language

That part of a word which is left after all inflexional and derivational affixes have been removed. Source: European Union. (references)

Literature

Base The basis, or that on which an animal walks (Greek, baino, to go, and basis, a footstep). The foot is the foundation- hence, base of a pillar, etc. It is also the lowest part, and hence the notion of worthless. Bass in music (Italian, basso) is the lowest part, or the part for the lowest compass of voice. Source: Brewer's Dictionary.

Mechanical Engineering

A metal plate used as foundation for a machine. Source: European Union. (references)
 Assembly of which the principal components are: (1) the bottom longitudinal members, (2) the two bottom end members (3) the floor, and (4) possibily, the cross members. Source: European Union. (references)

Mining

A. As used by drillers, a line of stakes set by an engineer or drill foreman to be used as a guide to line up and point the drill in a specific compass direction. A line in a survey which, being accurately determined in length and position, serves as the origin for computing the distances and relative positions of remote points and objects by triangulation. See also:base line b. A compound, e.g., lime, ammonia, or caustic alkali, or an alkaloid, capable of reacting with an acid to form a salt either with or without elimination of water. c. Foundation or supporting structure on which a drill is mounted e.g., lime, ammonia, or caustic alkali, or an alkaloid, capable of reacting with an acid to form a salt either with or without elimination of water. c. Foundation or supporting structure on which a drill is mounted. (references)

Science

A substance that forms a salt when it reacts with acid. A base is a substance that removes hydrogen ions (protons) from an acid and combines with them in a chemical reaction. (references)

Transportation

The flat part of the rail, which rests on crossties, is the --. Source: European Union. (references)

Source: compiled by the editor from various references; see credits.

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Specialty Definition: Base

(From Wikipedia, the free Encyclopedia)

A base is:

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Base (chemistry)

(From Wikipedia, the free Encyclopedia)

In chemistry, a base is a compound that is the opposite of an acid in the sense that it will neutralize an acid. Common bases include compoundss such as some metal oxides and hydroxides, and ammonia.

An acid "donates" H+ ions to the solution, while a base "accepts" H+ ions _or_ donates OH- ions. Both of those actions will decrease the hydrogen ion (H+) concentration, and thus increase pH (-log[H+])

Soluble bases (alkalis) produce hydroxyl ion (OH-) in aqueous solution and have a pH above 7.

Example:

The amino group (NH2) acts as a base by accepting a H+ ions from the solution. It does this by forming a coordiate covalent bond with the unshared pair of electrons belonging to the nitrogen atom. This decreases the hydrogen ion concentration.

Sodium hydroxide (NaOH) decomposes into Na+ and OH-, lowering the hydrogen ion concentration because the hydroxide ion will accept hydrogen ions to form water.

See also: acid-base reaction theories. alkaline foods

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Base (chemistry)."

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Numeral system

(From Wikipedia, the free Encyclopedia)

A numeral is a symbol or group of symbols that represents a number. Numerals differ from numbers just as words differ from the things they refer to. The symbols "11", "eleven" and "XI" are different numerals, all representing the same number. This article treats the various systems of numerals.

A numeral system (or system of numeration) is a framework where a set of numbers are represented by numerals in a consistent manner. It can be seen as the context that allows the numeral "11" to be interpreted as the roman numeral for two, the binary numeral for three or the decimal numeral for eleven.

Ideally, a numeration system will represent a useful set of numbers (e.g. all whole numbers, integers, or real numbers), will give every number represented a unique representation (or at least a standard representation) and will reflect the algebraic and arithmetic structure of the numbers. For example, the usual decimal representation of whole numbers gives every whole number a unique representation as a finite sequence of digits, with the operations of arithmetic (addition, subtraction, multiplication and division) being present as the standard algorithms of arithmetic.

Numeral systems are sometimes called number systems, but that name is misleading: different systems of numbers, such as the system of real numbers, the system of complex numbers, the system of p-adic numbers, etc., are not the topic of this article.

Types of numeral systems

The simplest numeral system is the unary numeral system, in which every natural number is represented by a corresponding number of symbols. If the symbol "|" is chosen, for example, then the number seven would be represented by |||||||. The unary system is normally only useful for small numbers; it has some uses in theoretical computer science.

The unary notation can be abbreviated by introducing different symbols for certain new values. Very commonly, these values are powers of 10; so for instance, if | stands for one, @ for ten and # for 100, then the number 304 can be compactly represented as ### |||| and number 123 as #@@||| . The ancient Egyptian system is of this type, and the Roman system is a modification of this idea.

More useful still are systems which employ special abbreviations for repetitions of symbols; using our ordinary digits for these abbreviations, we could then write 3# 4| for the number 304. The numeral system of English is of this type ("three hundred four"), as are those of virtually all other languages: Chinese, Japanese, and Greek.

More elegant is a positional system: again working in base 10, we use ten different digits 0,...,9 and use the position of a digit to signify the power of ten that the digit is to be multiplied with, as in 304 = 3*100 + 0*10 + 4. Note that zero, which is not needed in the other systems, is of crucial importance here, in order to be able to "skip" a power. The Arabic numeral system is a positional base 10 system; it is used today throughout the world.

Arithmetic is much easier in positional systems than in the earlier additive ones; furthermore, additive systems have a need for a potentially infinite number of different symbols for the different powers of 10; positional systems need only 10 different symbols (assuming that it uses base 10).

History

Tallies carved from wood and stone have been used since prehistoric times. Stone age cultures, including the American Indians, used tallies for gambling with horses, slaves, personal services and trade-goods.

The earliest known written tallies appear in the ruins of the Sumerian empire, using clay tablets impressed with a sharp stick and baked. The Sumerians had quite an exotic system based on counts to 60, used in astronomical and other calculations. This system was imported to and used by every Mediterranean nation that used astronomy, including the Greeks, Romans and Egyptians. We still use it to count time (minutes per hour), and angle (degrees).

In China, armies and provisions were counted using modular tallies of prime numbers. Unique numbers of troops and measures of rice appear as unique combinations of these tallies. A great convenience of modular arithmetic is that it is easy to multiply, though quite difficult to add. This makes use of modular arithmetic for provisions especially attractive. Conventional tallies are quite difficult to multiply and divide. In modern times modular arithmetic is sometimes used in Digital signal processing.

The Roman empire used tallies written on wax, papyrus and stone, and roughly followed the Greek custom of assigning letters to various numbers. The Roman system remained in common use in Europe until positional notation came into common use in the 1500s.

The Incan Empire ran a large command economy using quipu, tallies made by knotting colored fibers. Knowledge of the encodings of the knots and colors was suppressed by the Spanish conquistadors in the 16th century, and has not survived although simple quipu-like recording devices are still used in the Andean region.

Some authorities believe that positional arithmetic began with the wide use of the abacus in China. The earliest written positional record seem to be tallies of abacus results in China around 400. In particular, zero was correctly described by Chinese mathematicians around 932, and seems to have originated as a circle of a place empty of beads.

From China, both the abacus and written tallies may have moved to India, perhaps via Chinese traders and businesses. In India, recognizably modern positional numeral systems, used for astronomy and accounting, appeared in the Mogul empire.

From India, the thriving trade between Islamic Moguls and Africa carried the concept to Cairo. Arabic mathematicians extended the system to decimal fractions, and al-Khwarizmi wrote an important work about it in the 9th century. The system was introduced to Europe with the translation of this work in the 12th century in Spain and Leonardo of Pisas Liber Abaci of 1201.

The binary system (base 2), propagated in the 17th century by Gottfried Leibniz who had heard about it from China, came in common use in the 20th century because of computer applications.

Bases used

The base-10 system, the one most commonly used by humans today, originated because we have ten fingers, thus allowing for simple counting. A base-eight system was devised by (at least) the Yuki Pomo of Northern California, who used the spaces between the fingers to count. The Maya civilization and other civilizations of Pre-Columbian Mesoamerica used base 20, (possibly originating from the number of a person's fingers and toes). Base 60 was used by the Sumerians and survives today in our system of time (hence the division of an hour into 60 minutes and a minute into 60 seconds). Base-12 systems were popular because multiplication is easier in them than in base-10, (addition just as easy) and because the year has twelve months; we still have a special word for "dozen" and use 12 hours for every night and day.

Electronic components (first vacuum tubes, then transistors) may have only 2 possible states: concat(1) and closed (0). Because this is exactly the set of binary digits, and because arithmetics in a binary system are the easiest to describe electronically (using Boolean algebra), the binary system became natural for electronic computers. It is used to perform integer arithmetic in almost all electronic computers (the only exception being the exotic base-3 and base-10 designs that were discarded very early in the history of computing hardware). Note however that a computer does not treat all of its data as integers. Thus, some of it may be treated as texts and program data. Real numbers (numbers that can be not whole) are usually written down in the floating point notation, that has different rules of arithmetic.

Positional systems in detail

In a positional base-b numeral system (with b a positive natural number known as the radix), b basic symbols (or digits) corresponding to the first b natural numbers including zero are used. To generate the rest of the numerals, the position of the symbol in the figure is used. The symbol in the last position has its own value, and as it moves to the left its value is multiplied by b.

For example, in the decimal system (base 10), the numeral 4327 means (4×103) + (3×102) + (2×101) + (7×100), noting that 100 = 1.

In general, if b is the base, we write a number in the numeral system of base b by expressing it in the form a1bk + a2bk-1 + a3bk-2 + ... + ak+1b0 and writing the digits a1a2a3 ... ak+1 in order. The digits are natural numbers between 0 and b-1, inclusive.

If a text (such as this one) discusses multiple bases, and if ambiguity exists, the base is added in subscript to the right of the number, like this: numberbase. Numbers without subscript are considered to be decimal.

By using a dot to divide the digits into two groups, one can also write fractions in the positional system. For example, the base-2 numeral 10.11 denotes 1×21+ 0×20 +1×2-1 +1×2-2 = 2.75.

Note that a number has a terminating or repeating expansions if and only if it is rational; this does not depend on the base. A number that terminates in one base may repeat in another (thus 0.310 = 0.0100110011001...2). An irrational number stays unperiodic (infinite amount of unrepeating digits) in all bases. Thus, for example in base 2, &pi = 3.1415926...10 can be written down as the unperiodic 11.001001000011111...2.

If b=p is a prime number, one can define base-p numerals whose expansion to the left never stops; these are called the p-adic numbers.

Specific numeral systems

Positional systems

Positional-like systems with non-standard bases Other systems See also: Computer numbering formats

External Resources

D. Knuth. The Art of Computer Programming. Volume 2, 3rd Ed. Addison-Wesley. pp.194-213, "Positional Number Systems"

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Numeral system."

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PH

(From Wikipedia, the free Encyclopedia)

Alternate uses: see PH (disambiguation)

pH is a measure of the concentration of protons (H+) in a solution and, therefore, its acidity or alkalinity. The concept was introduced by S.P.L. Sørensen in 1909. The p stands for the German potenz, meaning power or concentration, and the H for the hydrogen ion (H+).

The formula for calculating pH is:

where [H+] indicates the concentration of H+ ions (or also written [H3O+], concentration of the equivalent hydronium ions), measured in moles per litre (also known as molarity). Or in layman's terms , the " pH " value is an approximate number between 0 and 14 for the negative decimal log of the hydronium - ion concentration .

In aqueous solution at standard temperature and pressure, a pH of 7 indicates neutrality (e.g. pure water) because Water naturally disassociates into H+ and OH- ions with equal concentrations of 1×10-7M. A lower pH number (for example pH 3) indicates increasing strength of acidity, and a higher pH number (for example pH 11) indicates increasing strength of alkalinity. Most substances have a pH in the range 0 to 14, although extremely acidic or basic substances may have pH < 0, or pH > 14.

In nonaqueous solutions or non-STP conditions, the pH of neutrality may not be 7. Instead it is related to the disassociation constant for the specific solvent used.

There is also pOH, in a sense the opposite of pH, which measures the concentration of OH- ions. Since water self ionizes, and notating [OH-] as the concentration of hydroxide ions, we have

Kw=[H+][OH-]=10-14
where Kw is constant, the ionization constant of water.

Now, since

log Kw=log [H+] + log [OH-]
by logarithmic identities, we then have the relationship
14 = log [H+] + log [OH-]

and thus
pOH = log [OH-] = 14 - log [H+]

Some common aqueous pH's

Measuring

pH can be measured by addition of a pH indicator or using a pH meter. Universal Indicator changes colour depending on the pH of the solution it is added to. Electronic pH meters consist of an electrolytic cell in which an electric current is created due to the hydrogen cations completing the circuit.

Calculation of pH for weak and strong acids

Values of pH for weak and strong acids can be approximated using certain assumptions. It is assumed that for strong acids, the dissociation reaction goes to completion (i.e., no unreacted acid remains in solution). Dissolving the strong acid HCl in water can therefore be expressed:

HCl(aq) → H+ + Cl-

This means that in a 0.01 M solution of HCl it is approximated that there is a concentration of 0.01 M dissolved hydrogen ions. From above, the pH is: pH = -log10 [H+(aq)]:
pH = -log(0.01)
which equals 2.

For weak acids the dissociation reaction does not go to completion, an equlibrium is set up between the ions and the acid. The following shows the equilibrium reaction between methanoic acid and its ions:

HCOOH(aq) ↔ H+(aq) + HCOO-(aq)

It is necessary to know the value of the equilibrium constant of the reaction for each acid in order to calculate its pH. In the context of pH, this is termed the acidity constant of the acid but is worked out in the same way (see chemical equilibrium):

Ka = [hydrogen ions (aq)][acid ions (aq)] / [acid (aq)]

For HCOOH, Ka = 1.6 × 10-4

Two assumptions are made in the calculation of pH for a weak acid. It is assumed that the water the acid is dissolved in does not provide any hydrogen ions. Water is a very weak acid and in general it supplies far fewer than the acid dissolved in it. Consequently in the above reaction the concentration of hydrogen ions equals the concentration of methanoate ions:

[H-(aq)] = [HCOO-(aq)]

It is also taken that the amount of undissociated acid at equilibrium is equal to the amount originally added to the solution. Although this is obviously untrue (otherwise the pH would remain 7!) this amount can be neglected because the fraction of hydrogen ions given is again very small.

With a 0.1 M solution of methanoic acid (HCOOH), the acidity constant is equal to:

Ka = [H+(aq)][HCOO-(aq)] / [HCOOH(aq)]

So:

1.6 × 10-4 = [H+][HCOO-] / 0.1

1.6 × 10-4 × 0.1 =[H+][HCOO-]

As [H-(aq)] = [HCOO-(aq)]:

1.6 × 10-4 × 0.1 =[H+]2

The concentration of hydrogen ions is: 4 × 10-3. The pH, therefore, is: 2.3.

See also: Acid-base reaction theories, Acid, Base, Alkali, Soil pH, titration

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "PH."

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Ph

(From Wikipedia, the free Encyclopedia)

ph or PH may be:

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Ph."

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Radix

(From Wikipedia, the free Encyclopedia)

Radix (from Latin, basis) is the number base of a numeral system. e.g., binary is "base 2" and has a radix of 2. When describing radix in mathematical notation, b is generally used as a symbol for this concept; so, for a binary system, b equals 2.

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Radix."

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Root system

(From Wikipedia, the free Encyclopedia)

See also Simple Lie group.

In mathematics, a root system is a kind of configuration in Euclidean space that has turned out to be fundamental in Lie group theory. Since Lie groups (and some analogues such as algebraic groups) became used in most parts of mathematics during the twentieth century, the apparently special nature of of root systems belies the number of areas in which they are applied. Further, the classification scheme for root systems, by Dynkin diagrams, occurs in parts of mathematics with no overt connection to Lie groups (such as singularity theory.

Definitions

Formally, a root system is a finite set Φ of non-zero vectors (roots) spanning a finite-dimensional Euclidean space V which satisfy the following properties:

  1. The only scalar multiples of a root α in V which belong to Φ are α itself and −α.
  2. For every root α in V, the set Φ is symmetric under reflection through the hyperplane of vectors perpendicular to α
  3. If α and β are vectors in Φ, the projection of 2β onto the line through α is an integer multiple of α

The rank of a root system Φ is the dimension of V. Two root systems may be combined by regarding the Euclidean spaces they span as mutually orthogonal subspaces of a common Euclidean space. A root system which does not arise from such a combination, such as the systems A2, B2, and G2 pictured below, is said to be irreducible.

Two irreducible root systems (E11) and (E22) are considered to be the same if there is an invertible linear transformation E1E2 which preserves distance up to a scale factor and which sends Φ1 to Φ2.

The group of isometries of V generated by reflections through hyperplanes associated to the roots of Φ is called the Weyl group of Φ as it acts faithfully on the finite set Φ, the Weyl group is always finite.

Classification

It is not too difficult to classify the root systems of rank 2:

Whenever Φ is a root system in V and W is a subspace of V spanned by Ψ=Φ∩W, then Ψ is a root system in W. Thus, our exhaustive list of root systems of rank 2 shows the geometric possibilities for any two roots in a root system. In particular, two such roots meet at an angle of 0, 30, 45, 60, 90, 120, 135, 150, or 180 degrees.

In general, irreducible root systems are specified by a family (indicated by a letter A to G) and the rank (indicated by a subscript). There are four infinite families and five exceptional cases:

Dynkin diagrams

To prove this classification theorem, one uses the angles between pairs of roots to encode the root system in a much simpler combinatorial object, the Dynkin diagram. The Dynkin diagrams can then be classified according to the scheme given above.

To every root system is associated a graph (possibly with a specially marked edge) called the Dynkin diagram. The Dynkin diagram can be extracted from the root system by choosing a base, that is a subset Δ of Φ which is a basis of V with the special property that every vector in Φ when written in the basis Δ has either all coefficients ≥0 or else all ≤0.

The vertices of the Dynkin diagram correspond to vectors in Δ. An edge is drawn between each non-orthogonal pair of vectors; it is a double edge if they make an angle of 135 degrees, and a triple edge if they make an angle of 150 degrees. In addition, double and triple edges are marked with an angle sign pointing toward the shorter vector.

Although a given root system has more than one base, the Weyl group acts transitively on the set of bases. Therefore, the root system determines the Dynkin diagram. Given two root systems with the same Dynkin diagram, we can match up roots, starting with the roots in the base, and show that the systems are in fact the same.

Thus the problem of classifying root systems reduces to the problem of classifying possible Dynkin diagrams, and the problem of classifying irreducible root systems reduces to the problem of classifying connected Dynkin diagrams. Dynkin diagrams encode the inner product on E in terms of the basis Δ, and the condition that this inner product must be positive definite turns out to be all that is needed to get the desired classification. The actual connected diagrams are as follows:

 
In detail, the individual root systems can be realized case-by-case, as in the following sections.

An

Let V be the subspace of Rn+1 for which the coordinates sum to 0, and let Φ be the set of vectors in V of length √2 and with integer coordinates in Rn+1. Such a vector must have all but two coordinates equal to 0, one coordinate equal to 1, and one equal to -1, so there are n2+n roots in all.

Bn

Let V=Rn, and let Φ consist of all integer vectors in V of length 1 or √2. The total number of roots is 2n2.

Cn

Let V=Rn, and let Φ consist of all integer vectors in V of √2 together with all vectors of the form 2λ, where λ is an integer vector of length 1. The total number of roots is 2n2. The total number of roots is 2n2.

Dn

Let V=Rn, and let Φ consist of all integer vectors in V of length √2. The total number of roots is 2n2.

En

For V8, let V=R8, and let E8 denote the set of vectors α of length √2 such that the coordinates of 2α are all integers and are either all even or all odd. Then E7 can be constructed as the intersection of E8 with the hyperplane of vectors perpendicular to a fixed root α in E8, and E6 can be constructed as the intersection of E8 with two such hyperplanes corresponding to roots α and β which are neither orthogonal to one another nor scalar multiples of one another. The root systems E6, E7, and E8 have 72, 126, and 240 roots respectively.

F4

For F4, let V=R4, and let Φ denote the set of vectors α of length 1 or √2 such that the coordinates of 2α are all integers and are either all even or all odd. There are 48 roots in this system.

G2

There are 12 roots in G2, which form the vertices of a hexagram. See the picture above.

Root systems and Lie theory

Irreducible root systems classify a number of related objects in Lie theory, notably:

In each case, the roots are non-zero weightss of the adjoint representation.

See also Weyl group, Coxeter group, Cartan matrix, Coxeter matrix

A root system can also be said to describe a plant's roots and associated systems.

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Root system."

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Topology glossary

(From Wikipedia, the free Encyclopedia)

This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no clear distinction between different areas of topology, this glossary focuses primarily on general topology and definitions that are fundamental to a broad range of areas. See the article on topological spaces for basic definitions and examples, and see the article on topology for a brief history and description of the subject area.

The following articles may also be useful. These either contain specialised vocabulary within general topology or provide more detailed expositions of the definitions given below. The list of general topology topics will also be very helpful.

All spaces in this glossary are assumed to be topological spaces unless stated otherwise.

Isotonicity: Every set is contained in its closure.
  • Idempotence: The closure of the closure of a set is equal to the closure of that set.
  • Preservation of binary unions: The closure of the union of two sets is the union of their closures.
  • Preservation of nullary unions: The closure of the empty set is empty.

  • d(x, y) ≥ 0
  • d(x, x) = 0
  • if   d(x, y) = 0   then   x = y     (identity of indiscernibles)
  • d(x, y) = d(y, x)     (symmetry)
  • d(x, z) ≤ d(x, y) + d(y, z)     (triangle inequality)

  • The function d is called a metric on M.

    The empty set and X are in T.
  • The union of any collection of sets in T is also in T.
  • The intersection of any pair of sets in T is also in T.

  • The collection T is called a topology on X.

    if U is in Φ, then U contains { (x, x) : x in X }.
  • if U is in Φ, then { (y, x) : (x, y) in U } is also in Φ
  • if U is in Φ and V is a subset of X × X which contains U, then V is in Φ
  • if U and V are in Φ, then UV is in Φ
  • if U is in Φ, then there exists V in Φ such that, whenever (x, y) and (y, z) are in V, then (x, z) is in U.

  • The elements of Φ are called entourages, and Φ itself is called a uniform structure on U.

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    Abbreviations & Acronyms: Base

    The following table is compiled from various sources, across various languages. When English abbreviations or acronyms come from a non-English source, this is noted.
    EntrySourceExpressionField

    BASE

    EnglishBipolar advanced silicon for EuropeComputing

    BASE

    FrenchBase des nuagesGeography, Transportation

    BASE

    GermanWolkenuntergrenzeGeography, Transportation

    BASE

    ItalianBase principale delle nubiGeography, Transportation
    BABEnglishBlood Agar BaseN/A

    Source: compiled by the editor, based on several corpora (additional references).

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    Synonyms: Base

    Synonyms: basal (adj), baseborn (adj), dishonorable (adj), dishonourable (adj), humble (adj), immoral (adj), lowly (adj), mean (adj), meanspirited (adj), unethical (adj), alkali (n), bag (n), base of operations (n), basis (n), cornerstone (n), floor (n), foot (n), foundation (n), fundament (n), groundwork (n), home (n), infrastructure (n), pedestal (n), radical (n), radix (n), root (n), root word (n), stand (n), stem (n), substructure (n), theme (n), understructure (n), establish (v), found (v), free-base (v), ground (v), place (v), post (v), send (v), station (v). (additional references)
    Synonym by domain: underframe (mechanical engineering, engineering & technology).

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    Synonyms within Context: Base

    ContextSynonyms within Context (source: adapted from Roget's Thesaurus).

    Attack

    Base of operations, point of attack; echelon.

    Base

    Noun: base, basement; plinth, dado, wainscot; baseboard, mopboard; bedrock, hardpan; foundation; (support); substructure, substratum, ground, earth, pavement, floor, paving, flag, carped, ground floor, deck; footing, ground work, basis; hold, bilge.

    Commonalty

    Adjective: ignoble, common, mean, low, base, vile, sorry, scrubby, beggarly; below par; no great shakes; (unimportant); homely, homespun; vulgar, low-minded; snobbish.

    Cowardice

    Dastard, dastardly; base, craven, sneaking, dunghill, recreant; unwarlike, unsoldier-like.

    Disrepute

    Ignominious, scrubby, dirty, abject, vile, beggarly, pitiful, low, mean, shabby base; (dishonorable).

    Envy

    Phrase: " base envy withers at another's joy "; caeca invidia est; multa petentibus desunt multa;Phrase: " base envy withers at another's joy "; caeca invidia est; multa petentibus desunt multa; summa petit livor.

    Improbity

    Infamous, arrant, foul, base, vile, ignominious, blackguard.

    Inexpedience

    Vile, base, villainous; mean; (paltry); injured; deteriorated; unsatisfactory, exceptionable indifferent; below par; (imperfect); illcontrived, ill-conditioned; wretched, sad, grievous, deplorable, lamentable; pitiful, pitiable, woeful; (painful).

    Money

    False money, bad money; base coin, flash note, slip, kite; fancy stocks; Bank of Elegance.

    Number

    Power, root, exponent, index, logarithm, antilogarithm; modulus, base.

    Plan

    Forecast, program(me), prospectus; carte du pays; card; bill, protocol; order of the day, list of agenda; bill of fare; (food); base of operations; platform, plank, slate, ticket.

    Servility

    Adjective: servile, obsequious; supple,supple as a glove; soapy, oily, pliant, cringing, abased, dough-faced, fawning, slavish, groveling, sniveling, mealy-mouthed; beggarly, sycophantic, parasitical; abject, prostrate, down on ones marrowbones; base, mean, sneaking; crouching; Verb:

    Support

    Noun: support, ground, foundation, base, basis; terra firma; bearing, fulcrum, bait, caudex crib; point d'appui, gr/pou sto/gr, purchase footing, hold, locus standi; landing place, landing stage; stage, platform; block; rest, resting place; groundwork, substratum, riprap, sustentation, subvention; floor; (basement).

    Give support, furnish support, afford support, supply support, lend support, give foundations, furnish foundations, afford foundations, supply foundations, lend foundations; bottom, found, base, ground, imbed, embed.

    Vice

    Base, sinister, scurvy, foul, gross, vile, black, grave, facinorous, felonious, nefarious, shameful, scandalous, infamous, villainous, of a deep dye, heinous; flagrant, flagitious; atrocious, incarnate, accursed.

    Source: adapted from Roget's Thesaurus.

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    Crosswords: Base

    English words defined with "base": air base, army base, Attic basebase hit, Base line, base on balls, base runnerDexter basefirst basenavy baseon basePrison base, prisoner's baserocket basesecond base, Sulphur basethird base. (references)
    Specialty definitions using "base": Acreage base, advanced base, alternate escort operating baseBase acreage, base 64, base address, Base Attributes Set, base charge, base class, base control unit, base drag, base ejection shell, BASE FILLER, Base Flood, base fracture, base fuze, base leakage current, base map, base map symbol, base memory, Base Pair Mismatch, base pairing, Base period, Base period price, base pressure, Base property, Base Rate, BASE REMOVER, base sequence analysis, Base surge, base symbol, Base Technology, Base Tenurecloud base height, Crop acreage baseDATA BASE DESIGN ANALYST, data base management systememergency fleet operating baseFarm acreage base, fresh-air baseheight of cloud baseIMS/Data Base, inferred reserve base, installed user baselaunching base, learning baseManagement Information Base, monetary baseNapierian baseohmic base resistanceSKI BASE TRIMMER, Skull Base Neoplasms, STABLE BASE, submarine baseUpdraft Base, user basewide base stereoscopy. (references)
    Etymologies containing "base": turpitude. (references)
    Non-English Usage: "Base" is also a word in the following languages with English translations in parentheses.

    Danish (base, basis), Dutch (base, basis), French (base, basis, bed, bedrock, foundation, fundament, ground, grounding, mainstay, radix, root, strong point), German (base, basis, cousin), Italian (base, basic, basis, foot, foundation, ground, groundwork, plinth, scaffolding, standard, station, stock), Latin (base, chord, foundation, pedestal, point of attachment, support), Portuguese (background, base, base course, basis, bed, camp, cap, foot, foothold, foundation, founding, frame, fund, fundamental, ground, grounding, groundwork, hornbook, logging depot, mounting, patten, pedestal, pinch, platen, principle, radical, road base, root, sabot, seat, sinew, sole, stool, substruction, substructure, vibration table), Spanish (base, basis, bedrock, crutch, foot, footing, foundation, fund, ground, Mount, mounting, radices, radix, rest, substruction).

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    Modern Usage: Base

    DomainUsage

    Screenplays

    They found the remains of a Rebel base, but they estimate that it has been deserted for some time (Star Wars; writing credit: George Lucas)

    There shall in that time be rumors of things going astray, erm, and there shall be a great confusion as to where things really are, and nobody will really know where lieth those little things with the sort of raffia-work base, that has an attachment (Life of Brian; writing credit: Graham Chapman; John Cleese)

    In two minutes primary charges will blow base charges and a few square blocks will be reduced to smoldering rubble (Fight Club; writing credit: Jim Uhls)

    You let the tying run get on second base and we lost the lead because of you (A League of Their Own; writing credit: Kim Wilson; Kelly Candaele)

    With all due respect, Colonel, if you don't follow us to Travis Air Force base, we'll blow you out of the sky. (Outbreak; writing credit: Laurence Dworet; Robert Roy Pool)

    Lyrics

    Third! Holy cow, stolen base! He's taking a pretty big lead out (Paradise By The Dashboard Light; performing artist: Meat Loaf)

    Magenta feelings take up shelter in the base of my spine (I Want You; performing artist: Savage Garden)

    Got this problem out of wants you to do it in base eight (New Math; performing artist: Tom Lehrer)

    Movie/TV Titles

    UFO: Distruggete base Luna! (1974)

    Généralités de base (1971)

    Base Stoccolma Rapporto Fuller (1967)

    Missile Base at Taniak (1966)

    Anyone Around My Base Is It (1966)

    Source: compiled by the editor from various references; see credits.

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    Commercial Usage: Base

    DomainTitle

    References

    • The 2003 World Forecasts of Base Metal Locksmith Wares, Safes, and Strong Rooms Export Supplies (reference)

    • The World Market for Base Metal Locksmith Wares, Safes, and Strong Rooms: A 2003 Global Trade Perspective (reference)

    • Shenzhen Chiwan Petroleum Supply Base Company Limited: International Competitive Benchmarks and Financial Gap Analysis (reference)

    • The 2000 Import and Export Market for Base Metal Locksmith Wares, Safes, and Strong Rooms in Africa (reference)

    • Data Base Management Computer Software in Indonesia: A Strategic Entry Report, 1995 (reference)

      (more reference examples)

      

    Books

    • Challenge At Second Base (reference)

    • Compensation Management: Knowledge of Base World (reference)

    • Nate the Great and the Stolen Base (reference)

    • Power Base Selling: Secrets of an Ivy League Street Fighter (reference)

    • Prisoner's Base (reference)

      (more book examples)

      

    Periodicals

    • Lineamientos Basicos Para El Cambio De Ano Base De Las Cuentas Nacionales (reference)

    • Nuevo Ano Base De Las Cuentas Nacionales Del Peru (reference)

    • City State Base - Cartridge (reference)

    • City State Base Quarterly (reference)

    • Nuclear Unit Outage Data Base - Diskette (reference)

      (more periodical examples)

      

    Theater & Movies

      

    Music

      

    High Tech

      

    Consumer Goods

    Source: compiled by the editor from various references; see credits.

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    Image Slideshow: Base

    Photos:
    Base

    More pictures...

    Illustrations:
    Base

    More pictures...

    Computer Images:
    Base

    More pictures...

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    Photo Album: Base

    ThumbnailDescription & CreditThumbnailDescription & Credit

    If there is a pair of tufts near the base of the siphon, and a ventral row of tufts, or a row of straight hairs following the pecten, the genus is identified as Culiseta. Credit: CDC.

    Science Base on Lunar Farside. Credit: NASA.

    Tranquility Base. Credit: NASA.

    Aldrin Looks Back at Tranquility Base. Credit: NASA.

    White River West Base on the 141st Meridian Survey International Boundary Commission surveyors. Credit: Coast & Geodetic Survey Historical Image Collection.

    100-foot tower at Bozeman NW Base Note man at top Triangulation party of William M. Scaife. Credit: Coast & Geodetic Survey Historical Image Collection.

    Minnows that constitute the forage base for larger predators. Credit: America's Coastlines.

    A decorative lighthouse graces the entrance to the United States Coast Guard Base at Charleston. Credit: America's Coastlines.

    Tigvariak Island base camp from the air. Credit: Paths Less Taken - NOAA at the Ends of the Earth.

    The abandoned base at Port Lockroy. The SHACKLETON came here to remove equipment. 64 50 S Latitude 63 30 W Longitude. Credit: Paths Less Taken - NOAA at the Ends of the Earth.

    Source: pictures compiled by the editor from various references; see picture credits.

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    Digital Photo Gallery: Base
     

    "Candle and brass base" by Marcus Buckner
    Commentary: "A candle on a brass base."
    "Base" by Guenter M. Kirchweger
    Commentary: "Detail from a contrabase."

    Source: photographs selected by the editor, with permission from the photographers.

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    Sounds Captioned with "Base".

    PlayCaption
    A Kansas City swing style piece using the blues as a harmonic and melodic base.
    Source: compiled by the editor from various references; see credits.

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    Familiar Quotations: Base

    AuthorQuotation

    Author Unknown

    Stopping at third base adds nothing to the score.

    Edward Young

    Less base the fear of death than fear of life.

    Euripides

    The wavering mind is but a base possession.

    Gilda Radner

    I base most of my fashion taste on what doesn't itch.

    Henry Fielding

    Worth begets in base minds, envy; in great souls, emulation.

    Jean Jacques Rousseau

    Base souls have no faith in great individuals.

    Plato

    All learning has an emotional base.

    William Shakespeare

    Small things make base men proud.
    Of all base passions, fear is most accurs'd.

    Source: compiled by the editor from various references.

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    Use in Literature: Base

    TitleAuthorQuote

    Emma

    Austen, Jane

    They vindicated him against the base aspersion

    Les Miserables

    Hugo, Victor

    Taking it from its root in the hold to its summit in the clouds, it is sixty fathoms long, and is three feet in diameter at its base.

    Portrait of the Artist as a Young Man

    Joyce, James

    He began to beat the frayed end of his ashplant against the base of a pillar

    Grapes of Wrath

    Steinbeck, John

    He could not see the base of the tree, for it grew out of a little swale that held water longer than the level places

    Julius Caesar

    William Shakespeare

    Lowliness is young ambition's ladder, whereto the climber-upward turns his face; But when he once attains the upmost round, He then unto the ladder turns his back, Looks in the clouds, scorning the base degrees By which he did ascend

    Source: compiled by the editor from various references.

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    Non-Fiction Usage: Base

    SubjectTopicQuote

    Health

    Other neurons at the base of the brain begin signaling when we fall asleep. (references)

    This hormone is made in the hypothalamus, a small gland located in the base of the brain. (references)

    Such knowledge will provide the foundation upon which to base new therapeutic strategies. (references)

    Business

    The base equipment is Ericsson. (references)

    The Base consists of six software parks and 15 major enterprises. (references)

    Foshan is the building and art ceramic and tile base in Guangdong. (references)

    Children

    Sierra Leone

    The rebels have no identifiable ethnic or regional base of voluntary popular support, and they controlled territory by terror and coercion rather than by popular consent. (references)

    Civil Liberties

    Colombia

    Both paramilitary groups and guerrillas used forced displacements to gain control over disputed territories and to weaken their opponents' base of support. (references)

    Mozambique

    The Independent Party of Mozambique (PIMO), a predominantly Muslim group without representation in Parliament, has argued for the right of political parties to base their activities on religious principles. (references)

    Economic History

    Zimbabwe

    One handicap is an outdated machinery base. (references)

    Uae

    Thuraya hopes to have a subscriber base of US $ 1.8 million. (references)

    Croatia

    The taxable base is the profit earned in Croatia and abroad. (references)

    Human Rights

    Ecuador

    The protesters largely destroyed Tena air base. (references)

    Eritrea

    They base their decisions on "conscience," without reference to the law. (references)

    Liberia

    Victims and witnesses reported beatings, torture, killings, and sexual abuse at the base. (references)

    Indigenous People

    Guatemala

    In late May, the military base at Quetzaltenango hosted a day of reconciliation with representatives of 23 ethnic groups from around the country. (references)

    Denmark

    In 1999 a court ruled that the Government unjustly resettled Greenland Inuits in 1953 in order to accommodate the expansion of a U.S. Air Force base in northwest Greenland. (references)

    Minorities

    Italy

    Roma are another traditional minority, but without a specific geographic base. (references)

    Political Economy

    RUSSIA

    Monetary base growth over the first nine months reflects the same fact. (references)

    Rwanda

    Small-scale commercial activities are increasing, but the industrial base remains limited. (references)

    INDIA

    India's direct tax base is small: only 26 million taxpayers out of a possible 250 million households. (references)

    Political Rights

    Liberia

    Local governments at all levels have no independent revenue base and rely entirely on the central Government for funds. (references)

    Congo

    Subnational government entities lack an independent revenue base and do not represent a significant check on central authority. (references)

    Cameroon

    The Biya Government has proven particularly intolerant of opposition from within its Beti/Bulu ethnic-regional base in the Center Province. (references)

    Trade

    Botswana

    VAT is also expected to broaden the tax base. (references)

    Egypt

    The Egyptian pound deposit base has increased substantially. (references)

    Venezuela

    Government officials have indicated that this base price system is WTO-compliant. (references)

    Travel

    Cote D'ivoire

    The base rate is CFA/F 2,500, plus extras. (references)

    Saudi Arabia

    Local Saudi employee taxes are 15 percent of base or combined with benefits. (references)

    Saudi Arabia

    From base salary and housing, companies withhold five percent and pay 10 percent. (references)

    Worker Rights

    Nigeria

    The development of a reliable statistical base for assessing the child trafficking problem began under ILO auspices. (references)

    Uganda

    Salaries usually are augmented by other benefits such as housing and transport allowances, which often are equal to base wages. (references)

    Afghanistan

    Many of Kabul's industrial workers were unemployed due to the destruction or abandonment of the city's minuscule manufacturing base. (references)

    Lexicography

    Devil's Dictionary

    SYCOPHANT, n. One who approaches Greatness on his belly so that he may not be commanded to turn and be kicked. He is sometimes an editor. As the lean leech, its victim found, is pleased To fix itself upon a part diseased Till, its black hide distended with bad blood, It drops to die of surfeit in the mud, So the base sycophant with joy descries His neighbor's weak spot and his mouth applies, Gorges and prospers like the leech, although, Unlike that reptile, he will not let go. Gelasma, if it paid you to devote Your talent to the service of a goat, Showing by forceful logic that its beard Is more than Aaron's fit to be revered; If to the task of honoring its smell Profit had prompted you, and love as well, The world would benefit at last by you And wealthy malefactors weep anew -- Your favor for a moment's space denied And to the nobler object turned aside. Is't not enough that thrifty millionaires Who loot in freight and spoliate in fares, Or, cursed with consciences that bid them fly To safer villainies of darker dye, Forswearing robbery and fain, instead, To steal (they call it "cornering") our bread May see you groveling their boots to lick And begging for the favor of a kick? Still must you follow to the bitter end Your sycophantic disposition's trend, And in your eagerness to please the rich Hunt hungry sinners to their final ditch? In Morgan's praise you smite the sounding wire, And sing hosannas to great Havemeyher! What's Satan done that him you should eschew? He too is reeking rich -- deducting you.

    Source: compiled by the editor from ICON Group International, Inc.; see credits.

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    Spoken Usage: Base

    SpeakerPhrase(s)

    Heather Mills McCartney

    Wherever we lay our hat, basically. We're on tour at the moment. So we move around all the time. Our main base is in London, in the U.K. But we're just all over the place. Hotels at the moment.

    Regis Philbin

    Here comes challenger. All of center field, coming closer and closer to second base. As challenger reaches second base, in swoops four Navy jets. Right over the stadium, Whoa with a tremendous roar.

    Rush Limbaugh

    You're going to please your Arab customer base if you're a little harder on the Israelis than you are on the Arabs.

    Sally Jessy Raphael

    Kind of a base, bottom line, I would guess. And that's not all television, that's the need to be tabloid television, I think. It's either that or a plug your new book and let's have a lot of giggles, or plug your movie or whatever.

    Source: compiled by the editor from various references; see credits.

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    Speeches: Base

    SpeakerTermPhrase(s)

    William H. Taft

    1909-1913The colored men must base their hope on the results of their own industry, self-restraint, thrift, and business success, as well as upon the aid and comfort and sympathy which they may receive from their white neighbors of the South.

    Harry S. Truman

    1945-1953We must base our policies not on unreasoning optimism or pessimism but upon a candid recognition of our objectives and upon a careful analysis of foreseeable trends.

    John F. Kennedy

    1961-1963Its course was direct from Eielson Air Force Base in Alaska to the North Pole and return.

    Richard Nixon

    1969-1974But with the disappearance of that base, I now believe that the constitutional purpose has been served.

    Jimmy Carter

    1977-1981From that base a number of thorough investigations of specific topics continued.

    Bill Clinton

    1993-2001You know, we help communities in a special way when their military base closes.

    Source: compiled by the editor from various references.

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    Usage Frequency: Base

    "Base" is generally used as a noun (singular) -- approximately 93.26% of the time. "Base" is used about 7,735 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted)
    Parts of SpeechPercentUsage per
    100 Million Words
    Rank in English
    Noun (singular)93.26%7,2131,343
    Lexical Verb (infinitive)5.31%41113,718
    Lexical Verb (base form)1.14%8835,154
    Adjective (general or positive)0.23%1882,615
    Noun (proper)0.05%4175,879
                        Total100.00%7,735N/A

    Source: compiled by the editor from several corpora; see credits.

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    Name Usage Frequency: Base

    The following table summarizes the usage of "base" based on a population census conducted in the United States. Ranks and frequencies are based on all names reported and classified.
    NameUsage/GenderUsage per 100
    million Persons
    Rank in USA
    BaseLast name20030,771
    Source: compiled by the editor from several corpora; see credits.

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    Derived & Related Names: Base

    The following table summarizes names derived from the word "base".
     
    NameGenderLanguageMeaning
    HashuphaN/ABiblical

    Made base

    Source: compiled by the editor from various references.

     

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    Usage in Company Names: Base

    CountryName
    China

    Shenzhen Chiwan Petroleum Supply Base Company Limited

     (more examples...)

    Source: compiled by the editor from Icon Group International, Inc.

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    Expressions: Base

    Expressions using "base": a drink with a rum base advanced base Advanced Knowledge Base Management System air base all your base are belong to us Altern base army base Attic base Bangor Trident Base base 64 base act base address base angle Base Attributes Set base bearing base camp base class base coin base command Base Composition base contact base control unit base course base development base doping base ejection shell base electrode base excess Base fee base figure base forme base fuze base hit base hospital base latin base leakage current base length base level tasks base line base load base map base map symbol base member base memory base metal base metals base number base of a cutting base of a geometrical figure base of cloud base of operations base of ski base on base on balls base oneself base oneself on base pair Base Pair Mismatch base pairing base pay base period base pierce base plate base port base price Base ring base runner base salary base sequence base sequence analysis base site controller messages base smth. on smth. base station base station system base structures base surge base symbol base Technology base transport efficiency base turn base unit base upon Base viol base wallah base year be off one's base bruising the base of cuttings RF office international de la vigne et du vin chart base cloud base cloud base height cocaine base compass base data base data base administrator data base management routines data base management system departure base deployment operating base Dexter base directory information base Double base. Additional references.

    Hyphenated Usage

    Beginning with "base": base-ball, base-base, base-board, base-boards, base-born, Base-burner, base-calling, base-camp, base-commodity, base-course, base-course, Base-court, base-deficient, base-emitter, base-exchange, base-form, base-forming, base-frequency, base-isolated, base-level, base-line, base-lined, base-load, base-man, base-maps, base-metal, base-minded, base-modification, base-of-overburden, base-only, base-over-apex, base-pair, base-pairing, base-pairs, base-period, base-plate, base-poor, base-rate, base-rich, base-spirited, base-stacking, base-superstructure, base-viol, base-weighted, base-words, base-zero.

    Ending with "base": air-base, bg-base, home-base, hyper-base, knowledge-base, non-base, power-base, resource-base, zero-base.

    Containing "base": acid-base balance, acid-base equilibrium, Acid-Base Imbalance, acid-base indicator, copper-base alloy, inter-base-pair, intra-base-pair, nickel-base alloy, rubber-base paint, sub-base course, three-base hit, two-base hit, water-base paint.

    Source: compiled by the editor from various references; see credits.

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    Frequency of Internet Keywords: Base

    The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com.
     
    ExpressionFrequency
    per Day
    ExpressionFrequency
    per Day

    home base business

    871

    whiteman air force base

    207

    home base

    727

    eglin air force base

    207

    ace of base

    663

    patrick air force base

    196

    knowledge base

    540

    tinker air force base

    194

    all your base are belong to us

    535

    air force base

    186

    lackland air force base

    421

    randolph air force base

    178

    antarctica antartico base centro marambio met

    415

    edwards air force base

    176

    microsoft knowledge base

    381

    norfolk naval base

    171

    antarctica arturo base prat

    380

    sheppard air force base

    168

    base

    308

    langley air force base

    152

    all your base

    299

    data base

    152

    andrew air force base

    289

    macdill air force base

    148

    antarctica base esperanza

    289

    nellis air force base

    147

    antarctica base jubany

    271

    hill air force base

    145

    antarctica base orcadas

    271

    luke air force base

    144

    antarctica base bernardo ohiggins

    265

    internet movie data base

    138

    scott air force base

    261

    keesler air force base

    131

    travis air force base

    260

    robin air force base

    125

    base de datos

    241

    shower base

    125

    wright patterson air force base

    239

    ak anchorage base hood lake seaplane

    122
    Source: compiled by the editor from various references; see credits.

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    Modern Translation: Base

    Language Translations for "base"; alternative meanings/domain in parentheses.

    Afrikaans

      

    basis (basis). (various references)

       

    Albanian

      

    bazoj (build), bazë ushtarake, bazë (alkali, bases, basis, bedrock, bottom, evidence, foundation, grassroots, ground, groundwork, juice, radix, reason, score, seminal, substratum, substructure, ultimate), themel (bedrock, footing, foundation, foundations, groundwork, juice, quiddity, radical, reason, substratum, substructure), shërbej si bazë, rrënjë (foothold, radical, radix, root, stem), pikënisje (starting point), i ulët (contemptible, dark, deep, down, gentle, give away, humble, ignoble, infamous, low, low down, low lying, lowly, mean, modest, nasty, nefarious, petty, primary, rascally, scrubby, scurvy, shoddy, subdued, vile, villainous, vulgar), i rëndomtë (banal, coarse, common, commonplace, copybook, corny, everyday, habitual, hackneyed, homely, mundane, ordinary, plain, platitudinous, prose, prosy, second rate, substandard, trite, vulgar), i poshtëm (subjacent, under), i pavlerë (bad, barren, catchpenny, chaffy, cheap, crummy, dud, expendable, fiddling, footling, frivolous, futile, jejune, measly, nugatory, paltry, peddling, tawdry, threepenny, trashy, vain, valueless, worthless), i pandershëm (conscienceless, dark, devious, dirty, dishonest, disreputable, ill gotten, knavish, mean, rascally, raw, roguish, unfaithful, unscrupulous, unsportsmanlike), fundament, fund (back, bed, bottom, death, decease, decline, doom, end, ending, epilogue, extremity, finality, finish, foot, foundation, ground, Omega, petticoat, quietus, rock bottom, skirt, sole, stub, tag, tail, tailpiece, terminal, termination). (various references)

       

    Arabic 

      

    ‏غير فصيح (barbarous, colloquial), ‏ردئ (bad, bastard, bum, coarse, common, doggie, evil, fearful, fiendish, foul, ill, inferior, nice, paltry, poor, poorness, putrid, second rate, slim, sour, tacky, tinpot, unhealthy, vicious, villainous, watery), ‏أساس (armature, basis, bottom, crux, footing, foundation, fundament, ground, grounding, grounds, pedestal, roadbed, rock, structure, subsoil, substratum, substructure), ‏أساسي (absolute, alkaline, basal, capital, cardinal, close, constitutional, formal, fundamental, imperative, indispensable, innate, inward, leading, main, major, material, momentous, nub, organic, overriding, paramount, piece de resistance, primal, primary, principal, radical, right, staple, substantial, ultimate, underling), ‏القاعدة الأساسية, ‏الهدف (home, target), ‏خسيس (abject, contemptible, dastardly, despicable, ignoble, loon, lousy, low, lowly, mean, paltry, pooch, reptile, ruffian, scruffy, servile, shabby, shoddy, sleazy, small change, sordid, vile, villainous), ‏بنى على أساس, ‏زائف (adulterate, artificial, bad, bastard, bogus, dummy, fake, false, fictitious, fictive, floating, hypocritical, imitation, imitative, mock, postiche, pretended, pseudo, queer, sham, shoddy, simulate, spurious, unreal), ‏منحط (decadent, degenerate, degraded, ignoble, low, low down, low-grade, lowly, mean, vile), ‏حقير (abject, beggarly, blackguardly, cheap, despicable, dingy, dirty, frowzy, grubby, ignoble, inferior, insignificant, lousy, low, low down, lowly, mean, menial, niggling, paltry, pettifogger, petty, pip squeak, pitiable, pitiful, poor, popinjay, rotten, scabby, scaly, scoundrelly, scruffy, scummy, scurvy, servile, shabby, shoddy, slavish, slim, slushy, small minded, snide, sod, squalid, swine, tacky, trifling, ungracious, unworthy, varmint, vile, villainous, worthless, wretched), ‏قاعدة بحرية (naval base), ‏قاعدة أساس (basis, foundation, rule), ‏قاعدة جوية (air base), ‏قاعدة كيمياء, ‏لئيم (depraved, evil, low, mean, miscreant), ‏نقطة مركز (outpost), ‏عامي (colloquial, informal, plebeian, slang, slangy, vernacular, vulgar, yearly). (various references)

       

    Bulgarian 

      

    черта (ingredient, line, score, strand, streak, stria, trace), фундамент (bedding, foundation, substructure), основавам (bottom, charter, establish, found, ground, institute, launch, organize, plant, promote, set up, start), основа (accidence, alkali, basis, bed, foot, footing, foundation, fundamental, grounding, groundwork, joint, lye, pedestal, radix, seat, seating, sole, staff, stem, substratum, substructure, theme, underpinning, warp, warp and woof), обосновавам (ground, motivate), нисък (grave, keen, low, low-browed, low-pitched, short, thickset), низък (abject, contemptible, degraded, ignoble, low down, low-minded, mangy, mean, mean-spirited, miscreant, paltry, scaly, scurvy, unworthy, vile, villainous, yellow), бас (bass, basso, bet, betting, wager), база (basis, groundwork, home, jumping-off-place, substratum, warp, warp and woof), базирам (found, rest), простонароден (folksy), поставка (rack, stand, support), подъл (blackguardly, caitiff, creeping, dastardly, devilish, diabolic, diabolical, dirt, dirty, dishonorable, dishonourable, jesuitic, jesuitical, low, low down, low-minded, mean, mean-spirited, miscreant, recreant, reptile, scurvy, shabby, snaky, sneaking, sneaky, snide, vile, villainous), плацдарм (maneuvering ground, manoeuvring ground, place of arms), долен (abject, bottom, contemptible, currish, ignoble, ignominious, infamous, inferior, iniquitous, low, lower, low-grade, mangy, mean, mean-spirited, rascal, ratty, reptile, rotten, scaly, scurvy, shady, under, unworthy, vile, villainous). (various references)

       

    Chinese 

      

    基地 . (various references)

       

    Czech

      

    báze (basis), založit (begin, constitute, establish, file, float, found, ground, institute, launch, mislay, plant, set up, start, start up, wedge), zásada (alkali, Maxim, principle, rudder, tenet, theorem), základní složka, základna (basis, station), výchozí bod, startovní èára, podstavec (easel, foot, horse, Mount, pedestal, plinth, rest, support, trestle), podlý (contemptible, currish, ignoble, lowdown, mean, shabby, sordid, ugly, villainous, wicked), opìrný bod (clue), nízký (flat, ignoble, impure, low, short, sordid, squalid, tawdry, villainous), meta (goal), kmen (bole, radical, stem, stock, strain, tribe), úpatí (foot). (various references)

       

    Danish

      

    base (basis), basis (basis). (various references)

       

    Dutch

      

    base (basis), grondtal (basis), gronden (lay the ground coat, lay the ground color, lay the ground colour, prime, priming), basis (basis, element, foundation), baseren (erect, establish, found, ground). (various references)

       

    Esperanto

      

    bazo (basis), bazi, surbazigi (found, ground), malnobla (abject, low, nasty, vile). (various references)

       

    Farsi 

      

    فرومایه (Abject, Brassy, Currish, Ignoble, Knave, Low, Vile), پایه (Basis, Bedrock, Buttress, Cantilever, Column, Degree, Ground, Groundwork, Leg, Mark, Measure, Mount, Outrigger, Phase, Pillar, Prop, Root, Sill, Stage, Stalk, Stanchion, Status, Stock, Stratum), پایگاه , مبناقراردادن , ته ستون , ته (Bed, Bottom, Butt, Extremity, Heel, Stub), تکیه گاه (Back, Backrest), زمینه (Background, Basis, Conspectus, Context, Design, Ground, Groundwork, Outline, Root, Sketch, Tendency, Terrain, Theme), صدای بم , اساس (Basis, Bedrock, Cornerstone, Element, Fabric, Ground, Groundwork, Nucleus, Root), شالوده (Infrastructure, Pedestal, Skeleton, Sole, Texture), بنیان نهادن , بنیاد (Basis, Institute, Root, Substratum). (various references)

       

    Finnish

      

    pohja (basis, bottom, foundation, ground, sole), kanta (attitude, counterfoil, head, heel, point of view, population, stalk, stand, standard, standpoint, stub), emäs (alkali), alusta (basis, bed, bench, chassis, coaster, easel, foundation, mat, mount, stand, tressle, workbench). (various references)

       

    French

      

    BASE (basis), baser, socle (base plate, basement, basement complex, baseplate, baserock, island base, pedestal base), patin, culot, assise (basis). (various references)

       

    Frisian

      

    basearje. (various references)

       

    German

      

    basis (basis, dado, foot, footing, foundation), base (basis, cousin), unterlage (bed, document, drawsheet, Mount, pad, record, substratum, underlay), stützpunkt (fulcrum, stronghold), sockel (footing, foundation, holder, Mount, mounting, pedestal, pedestals, pillar, plinth, socket, socle, supporting base), grundzahl (base number, basic number, Cardinal, cardinal number), Grundlage (basis, datum, element, foundation, fundamental, fundamentals, gist, groundwork, root position, scaffolding, substructure), gemein (abject, abominable, basely, beastly, bitchy, caitiff, cheap, coarse, common, cussedly, dirty, disreputable, foul, horrid, horridly, infamous, invidious, joint, low, lower case, malicious, maliciously, mean, meanly, miscreant, miserable, miserably, nastily, nasty, paltry, rascally, reptilian, rotten, scurillously, scurvily, scurvy, sordid, spiteful, squalid, squalidly, ugly, unkind, unkindly, vicious, vile, vilely, villainous, vulgar, wicked), boden (attic, bottom, earth, floor, foundation, ground, land, loft, seabed, seat, soil, terrain). (various references)

       

    Greek 

      

    βάση (basis, bed, foot, foothold, footing, ground, groundwork, mounting, pedestal), βάθρο (abutment, block, foundation, pedestal, podium, stand). (various references)

       

    Hebrew 

      

    משתית (foundation), מעמיד (pedestal, plinth, stand), להשתית (establish, found, lay the foundation), לבסס (establish, found, ground, predicate), תושבת (basis, chassis, foundation, pedestal, undercarriage), תחתית (bottom, saucer, subway), שפל (degeneration, ebb, humble, indolent, lousy, low, low down, low tide, lowliness, mean, mean-spirited, meek, minimum, miscreant, ornery, recession, scabby, scamp, shabby, sordid, vile), אדן (footplate, foundation, pedestal, plinth, sleeper, socket of a column), בסיס (basis, foundation, fundament, pedestal, plinth), רגל (foot, leg), נקודת מוצא (point of departure). (various references)

       

    Hungarian

      

    bázis (basis), alap (basis, bedrock, bottom, cause, chief, claim, footing, foundation, foundations, fund, grounding, groundwork, main, Patten, principle, substrate, substructure), támaszpont (basis, beach-head, bridgehead, bridge-head, fulcrum, standing-ground), kiindulópont (head, starting point, starting-point), közönséges (coarse, common, commonplace, dismal, garden-variety, normal, ordinary, pig, plebeian, scummy, scurvied, trite, vulgar, wonted). (various references)

       

    Indonesian

      

    bidai (bamboo, basket work, splint), sila (basic), pengalas, kaki (foot, leg, paw), jelek (bad, badly, disreputable, ugly, worse), cendala (low, mean), alas (coaster, covering, foundation, layer). (various references)

       

    Italian

      

    base (basic, basis, foot, foundation, ground, groundwork, plinth, scaffolding, standard, station, stock), fondare (base oneself, build, erect, establish, found, ground, ground floor, set up), basare (base oneself, be founded, found, ground). (various references)

       

    Japanese Kanji 

      

    卑劣 (cowardly, foul play, mean), 卑しい (greedy, humble, mean, shabby, vile, vulgar), 下劣 (mean, vulgar). (various references)

       

    Japanese Katakana 

      

    ほんきょ (headquarters, inner citadel, stronghold), ていへん, ていすう (constant, radix), げれつ (mean, vulgar), やひ (mean, meanness, vulgar, vulgarity), るい (class, evil influence, family, genus, implication, involvement, kind, sort, thin, trouble, weak), キャンバス (canvas), こんげん (foundation, origin, principle, root, source), こんぽん (foundation, origin, principle, root, source), こんきょち, いやしい (greedy, humble, mean, shabby, vile, vulgar), えんき (adjournment, pair of compasses, postponement), ほんるい (home plate, main fort, stronghold), ベース (bass), ほんきょち (headquarters, inner citadel, stronghold), つけね (crotch, joint, root, the bid, the offer), どだい (basis, foundation), ひれつ (cowardly, foul play, mean), きち (already known, correct, dangerous position, extraordinary wisdom, healthy, perception, peril, resources, tact, understanding, well-known, wit, your place), きてい (default, established, ground, inn, inner rules, launch, official regulations, provisions, regulation, restaurant), ねもと (foundation, origin, principle, root, source), しんすう, きょてん (point, position), きぶ (foundation), バーゼ , かとう (excessive, exorbitant, flexible, fructose, fruit sugar, inferior, light case of smallpox, low grade, lower class, sweetened, sweetening, vulgar). (various references)

       

    Korean 

      

    기초 형성 (base-forming), 기초 법원 (Base-court), 기초 가열기 (Base-burner). (various references)

       

    Manx

      

    undin (basis, footing, footings, foundation, rock bottom), soieaghey er grunt, gruntal (bottom, bottom as fishing, found), bun-ynnyd, bun (basis, bottom, derivation, details, dope, end, explanation, eye of storm, foot, foundation, heart, interpretation, news, origin, original, prime, principle, raw material, root, root cause, sole, source, stem, stool, stump, underneath), balley (farmstead, home, town). (various references)

       

    Papiamen

      

    baho (abject, low, nasty, vile). (various references)

       

    Pig Latin

      

    asebay.(various references)

       

    Portuguese

      

    base (basis, bed, foot, foothold, foundation, founding, fund, fundamental, ground, grounding, groundwork, hornbook, patten, pedestal, principle, radical, root, sabot, seat, sinew, sole, stool, substruction, substructure). (various references)

       

    Romanian

      

    baza (ground), bazã (alkali, bases, basis, bottom, footing, foundation, foundation stone, ground, groundwork, measured mile, root, sole, support), motiva (ground, justify, motivate, motive), clãdi (build, construct, erect, form, found, groin, ground, throw out), comun (banal, common, communal, current, everyday, frequent, general, joint, low, mediocre, mutual, ordinary, rife, universal, usual, vulgar), de bazã (basic, Cardinal, indispensable, principal), de rând (common, mean, small, vulgar), esenţã (being, bottom, content, core, cream, essence, essential, extract, gist, kernel, kind, marrow, materiality, meat, pith, quiddity, quintessence, substance, sum), fals (apparent, artificial, bad, bogus, cant, colourable, counterfeit, deceitful, double dealing, dud, dummy, erroneous, erroneously, error, factitious, fake, false, falsehood, feigned, flash, forged, forgery, fraud, glossy, hollow, hollow-hearted, imitation, imposture, insincere, lying, mendacious, mistaken, mock, painted, phony, plugged, reprobate, sham, spurious, sugary, tinsel, treacherous, trumpery, truthless, two faced, unnatural, unnaturally, untrue, wrong, wrongfully), fundament (basis, foundation, ground, groundwork), fundamental (basic, basically, capital, essential, fundamental, fundamentally, main, prime, principal, ultimate, vital), ignobil, inferior (below the mark, bottom, coarse, feeble, inferior, less, lesser, lower, mean, Nether, penny-a-line, second, subordinate, under), întemeia (create, erect, establish, form, found, institute, organize, set out, underlain), meschin (basely, base-spirited, costive, hen-hearted, illiberal, little, low down, mean, mercantile, nasty, paltrily, paltry, peddling, pettily, petty, shabby, small, sneaky, sordid, stingy, trivial), vulgar (broad, churlish, coarse, common, gross, large, low, low-lived, unrefined, vile, vulgar, vulgarly), murdar (basely, bawdy, dingy, dirty, dungy, filthy, foul, foully, frowzy, greasy, grimy, grubby, impure, mangy, messy, nasty, piggish, piggy, poky, scurrilous, seedy, shabby, slimy, slovenly, smeary, smutty, soppy, sordid, sordidly, squalid, Tarry, thick, unclean, untidy), nelegitim (baseborn, bastard, born on the wrong side of the blanket, illegitimate, irregular, misbegotten), nemernic (cad, caitiff, felon, foul, rascal, rascally, reprobate, scamp, scoundrel, sneak, sneaking, son of a gun, villain, wretch, wretched), picior (foot, joint, leg, paw, peg, shoulder, stalk, stem, toe), piedestal (dado, foot, leg, pedestal, plinth), pune bazele, rãdãcinã (race, radical, radix, root), soclu (bed, bottom, dado, footing, pedestal, socle, truss), spurcat (dirty, filthy, foul, foul-mouthed, soiled, vile), talpã (basis, hob, runner, shoe, slipper, sole), temei (basis, bottom, depth, ground, grounding, rudiment, spring), temelie (basement, bases, basis, foundation, ground, groundwork, substruction), ticãlos (a bad egg, cad, canting, cur, dark, dirty, felon, foul, heel, hound, impious, kite, knave, knavish, knavishly, low-minded, mean, meanly, miscreant, paltry, perverse, picaroon, rapscallion, rascal, rascally, recreant, reprobate, ruffian, scab, scabby, scamp, scoundrel, scurvy, serpentine, shabby, skunk, sneak, sneaking, vile, villain, villainous, wretch, wretched), josnic (abject, base-minded, despicable, dirty, grovelling, grubby, infamous, little, low, low-minded, mean, meanly, nasty, paltry, scurrilous, scurvy, shabby, slavish, sordid, sordidly, vile). (various references)

       

    Russian 

      

    базировать. (various references)

       

    Scottish

      

    truilleach (a dirty or base person), ruighe (an arm, the outstretched part or base of a mountain). (various references)

       

    Serbo-Croatian

      

    bazirati, baza (alkali, basis), zasnovati (establish, found), zasnivati (bottom, establish), uporište (foothold, powerpoint, standfast, stronghold, strongpoint), temelj (basis, bedrock, foundation, fundament, substruction), prosti metali, podloga (bolster, cradle, groundwork, pad), osnovni (basal, basic, elementary, fundamental, institutional, key, no-frills, primal, primary, prime, primordial, underlying), osnovica, osnova (basis, bottom, footing, foundation, grassroots, ground, plane, radix, stem, substruction, warp), osnov (element, reason, rudiment), nizak (low, low-, lowly, low-pitched, short, vile), nedostojan (bad, undeserving, unworthy, worthless). (various references)

       

    Spanish

      

    base (basis, bedrock, crutch, foot, footing, foundation, fund, ground, Mount, mounting, radices, radix, rest, substruction), pie (bottom, butt, catchword, f, foot, footing, haunch, leg, paw, stalk, stem), fundar (endow, erect, establish, form, found, institute, justify, launch, promote, set up, start), basar (bottom, build on, establish, found, predicate, set up). (various references)

       

    Swedish

      

    nedrig (abject, infamous, lousy, low, nasty, scurvy, vile), bas (basis, bass, basso, boss, foreman, foundation, gaffer, top dog), sockel (dado, pedestal, plinth, socle), gemen (accustomed, currish, customary, dirty, filthy, foul, friendly, ignoble, infamous, low, low down, lowercase, low-minded, mean, odious, scurvy, sociable, used to, usual, wicked, wonted), basera (found). (various references)

       

    Thai

      

    พื้นฐาน (basal, basic, simple), ฐานทัพ, ต่ำช้า, วางรากฐาน, ประจำการ, คุณภาพไม่ดี, ด่าง, มาจากรากฐาน, จุดศูนย์กลาง (epicenter, hub, navel). (various references)

       

    Turkish

      

    alçak (abandoned, abject, baseborn, blackguard, contemptible, cowardly, dastardly, heel, humble, ignoble, lousy, low, low down, lowrise, misbegotten, nasty, nefarious, no good, rascally, ravisher, recreant, scoundrel, scoundrelly, short, sneak, sneaking, sneaky, sordid, squat, swab, swob, vile, villainous). (various references)

       

    Turkmen 

      

    baza (r) (foundation), tyl (rear), esas (basis), dьяp (bottom, root). (various references)

       

    Ukrainian

      

    базис (base line, basis, bed-rock), дно (bottom, floor), нижній (bottom, downmost, downstairs, lower, nethermore, under, underneath), зіпсований (addle, adulterated, bad, corrupt, debauched, decadent, deformed, degenerate, miscreant, naughty, out of order, spoilt, unsound, wrong), засновувати (build, charter, constitute, establish, institute, promote, set up, start), закладати фундамент, базувати, низькопробний (penny-a-line, tabloid), база (nest, substruction), низькорослий (cobby, runty, sawn-off, scrubby, stunted), підстава (account, basis, cause, ground, occasion, reason, warranty), підвалина (basement), підошва (sole), підлий (babylonian, base-born, beggarly, caddish, caitiff, cheap, dastard, dastardly, dishonorable, dishonourable, grimy, hangdog, hoggish, ignoble, low down, mean-spirited, nefarious, niddering, picayune, rascal, reprobate, scabbed, scoundrel, scummy, scurvy, small, sneaking, sneaky, vile, yellow dog), простонародний (non-u, racy of the soil, rascal), примусовий (coercive, compulsive, compulsory, forced), п'єдестал (pedestal, socle), базовий, основа (backbone, basement, bases, basis, bottom, carcass, chain, foot, groundwork, pedestal, pediment, principle, root, source, substratum, substructure, underlay), рабський (servile), цоколь (dado, plinth, socket, socle), фундамент (basement, basis, bedding, bottom, footing, foundation, ground, groundwork, substruction, substructure), фальшивий (bad, bastard, bogus, counterfeit, double-minded, faked, false, falsified, feigned, flash, off-key, phoney, phony, pinchbeck, plugged, pseudo, queer, sheeny, wrong), штатив (rack), грубий (abrupt, artless, barbaresque, barbaric, bearish, boarish, broad, brusque, brute, caddish, chuffy, churlish, clownish, clumsy, coarse, coarse grained, crass, crude, gross, hard boiled, homely, ill bred, knockabout, offhand, plebeian, primitive, ribald, rough, rough spoken, rude, scratchy, shaggy, surly, swinish, truculent, uncouth), низький (bass, dirty, low, low down, niddering, short), основний (basal, basic, basilar, capital, central, chief, first, foremost, fundamental, key, main, master, organic, primary, primitive, principal, quintessence, radical, staple, substantial, ultimate, underlying), розміщувати війська, обгрунтовувати (found, put), опорний пункт (key point, rampart, stronghold), негучний, невисокий (low, lowly), незаконний (bastard, illegal, illegitimate, illicit, irregular, lawless, undue, unlawful, unwarranted), неблагородний, неповноцінний (bastard, inadequate), основний момент (highlight). (various references)

       

    Vietnamese 

      

    quỵ luỵ thường, nền tảng (corner-stone, foundation), nền móng đáy, nền (platform, substruction, substructure, tasty), hèn hạ (abject, basely, blithering, despicable, dirtily, dirty, dishonourable, meanly, picayune, poor, scabbily, scurvy, shabby, vile), cơ sở (basal, corner-stone, foundation, fundament, fundamental, groundwork, underlying), đê tiện; khúm núm (basely). (various references)

       

    Welsh

      

    bo+n (bottom, breech, stump), sylfaenu (found), sylfaen (basis, foundation), seilio (found, ground), sail (basis, foundation), isel (depressed, humble, low), gwael (bad, ill, poor, poorly, sick, vile), gau (bogus, false), distadl (abject, insignificant, low, mean), diffaith (desert, mean, waste, wilderness), anwych (wretched). (various references)

       

    Yucatec

      

    haal (basis, border, brim, brink, edge, edging, fringe, rim, side), chun (basis, beginning, commencement, lineage, origin, start, stem, trunk). (various references)

    Source: compiled by the editor from various translation references.

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    Ancestral Language Translations: Base

    LanguagePeriodTranslations
    Sumerian3100 BCE-2500 BCE

    ur, u. (various references)

    Greek700 BCE-300 CE

    basis, hypothesis. (various references)

    Latin500 BCE-Modern

    basara, base, basem, bases, basesque, basi, basiae, basibus, basim, basis, basium, crepidine, crepidinem, crepidinis, crepido, cubile, cubili, cubilia, cubilibus, cubilis, humile, humilem, humiles, humili, humilia, humilibus, humilior, humiliora, humiliorem, humiliores, humilis, humilium, humillima, radice, radicem, radices, radicibus, radicis, radicum, radix, reproba, reprobi, reprobum, reprobus, sordida, sordidam, sordidis, sordido, sordidos, sordidum, substructio, turpe, turpem, turpis, turpissima, turpissimum, vilis. (various references)

    Late Latin300-700

    bassus. (various references)

    Source: compiled by the editor from various references.

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    Bible Trace: Base

    LanguageDateSourceActs Chapter 16, Verse 26
    Greek (transliterated)250 BCSeptuagintAfnw de seismoV egeneto megaV wste saleuqhnai ta qemelia tou desmwthriou anewcqhsan te paracrhma ai qurai pasai kai pantwn ta desma aneqh
    Latin405VulgateSubito vero terraemotus factus est magnus ita ut moverentur fundamenta carceris et aperta sunt statim ostia omnia et universorum vincula soluta sunt
    Middle English1395WyclifAnd sudenli a greet erthe mouyng was maad, so that the foundementis of the prisoun weren moued. And anoon alle the doris weren openyd, and the boondis of alle weren lousid.
    Renaissance English1526TyndaleAnd sodenly ther was a greate erth quake so that ye fonndacion of the preson was shaken and by and by all the dores opened and every mannes bondes were lowsed.
    Jacobean English1611King JamesAnd suddenly there was a great earthquake, so that the foundations of the prison were shaken: and immediately all the doors were opened, and every one's bands were loosed.
    Victorian English1833WebsterAnd suddenly there was a great earthquake, so that the foundations of the prison were shaken: and immediately all the doors were opened, and every one's bands were loosed.
    Basic English1964OgdenAnd suddenly there was an earth-shock, so that the base of the prison was moved: and all the doors came open, and everyone's chains came off.

    Source: compiled by the editor from various references; see credits.

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    Matched Bible Translations: Base

    LanguageActs Chapter 16, Verse 26
    AlbanianBefas u bë një tërmet i madh, saqë u tundën themelet e burgut; dhe në atë çast u hapën të gjitha dyert dhe të gjithëve iu zgjidhën prangat.
    CebuanoUg sa kalit miabut ang usa ka makusog nga linog, nga tungod niana nauyog ang mga patukoranan sa bilanggoan; ug dihadiha naabli ang tanang pultahan ug nangatangtang ang mga talikala sa matag-usa.
    CroatianOdjednom nasta potres velik te se poljuljaše temelji zatvora, umah se otvoriše sva vrata, i svima spadoše okovi.
    DanishMen pludseligt kom der et stort Jordskælv, så at Fængselets Grundvolde rystede, og straks åbnedes alle Dørene, og alles Lænker løstes.
    DutchEn er geschiedde snellijk een grote aardbeving, alzo dat de fundamenten des kerkers bewogen werden; en terstond werden al de deuren geopend, en de banden van allen werden los.
    FinnishSilloin tapahtui yhtäkkiä suuri maanjäristys, niin että vankilan perustukset järkkyivät, ja samassa kaikki ovet aukenivat, ja kaikkien kahleet irtautuivat.
    FrenchTout à coup il se fit un grand tremblement de terre, en sorte que les fondements de la prison furent ébranlés; au même instant, toutes les portes s`ouvrirent, et les liens de tous les prisonniers furent rompus.
    GermanSchnell aber ward ein großes Erdbeben, also daß sich bewegten die Grundfesten des Gefängnisses. Und von Stund an wurden alle Türen aufgetan und aller Bande los.
    Indonesian-Bahasa Sehari-hariTiba-tiba terjadi gempa bumi yang hebat sekali, sampai pondasi penjara itu pun turut bergoncang. Semua pintu penjara terbuka dan rantai-rantai yang membelenggu semua orang tahanan pun terlepas.
    Indonesian-Terjemahan LamaMaka dengan sekonyong-konyong timbullah suatu gempa bumi yang besar sehingga berguncang kaki tembok penjara itu. Dengan seketika itu juga terbukalah segala pintu, dan belenggu sekalian orang itu pun terlucutlah.
    ItalianD'improvviso venne un terremoto così forte che furono scosse le fondamenta della prigione; subito tutte le porte si aprirono e si sciolsero le catene di tutti.
    LatvianPiepeði notika liela zemestrîce, tâ ka cietuma pamati sakustçjâs; un tûdaï visas durvis atvçrâs, un visu vaþas atraisîjâs.
    MaoriNa ka pa whakarere he ru nui, i ngarue ai nga turanga o te whare herehere: a puare tonu atu nga tatau katoa, whakakorokoroa ana nga herenga o nga tangata katoa.
    NorwegianDa kom det med ett et sterkt jordskjelv, så fengslets grunnvoller rystet, og straks sprang alle dører op, og alles lenker løstes.
    PortugueseDe repente houve um tão grande terremoto que foram abalados os alicerces do cárcere, e logo se abriram todas as portas e foram soltos os grilhões de todos.   
    RumanianDeodatq, s`a fqcut un mare cutremur de pqmknt, awa cq s`au clqtinat temeliile temniyei. Kndatq, s`au deschis toate uwile, wi s`au deslegat legqturile fiecqruia.
    RussianчДТХЗ УДЕМБМПУШ ЧЕМЙЛПЕ ЪЕНМЕФТСУЕОЙЕ, ФБЛ ЮФП РПЛПМЕВБМПУШ ПУОПЧБОЙЕ ФЕНОЙГЩ; ФПФЮБУ ПФЧПТЙМЙУШ ЧУЕ ДЧЕТЙ, Й Х ЧУЕИ ХЪЩ ПУМБВЕМЙ.
    ShuarTu pujuiniai aya aneachma ti kakantar uurkamiayi. Tura sepusha muchitramiayi. Túrunamtai Sepú Wáitirisha Ashí urantrarmiayi. Tura aents jirujai enkekar jinkiamusha mash atiniakarmiayi.
    SpanishEntonces, de repente sobrevino un fuerte terremoto, de manera que los cimientos de la cárcel fueron sacudidos. Al instante, todas las puertas se abrieron, y las cadenas de todos se soltaron.
    SwahiliGhafla, kulitokea mtetemeko mkuu wa ardhi ambao uliitikisa misingi ya gereza. Mara, milango yote ikafunguka na minyororo iliyowafunga hao wafungwa ikaachana.
    SwedishDå kom plötsligt en stark jordstöt, så att fängelsets grundvalar skakades; och i detsamma öppnades alla dörrar, och allas bojor löstes.
    UmaNto'u toe, muu-mule' ria ncorobaa linu bohe, alaa-na parawatu tarungku' toe molengo. Kaliliu mobea hawe'ea wobo', pai' mobongka moto-mi rante to rahoo' -raka hawe'ea to ratarungku'.

    Source: compiled by the editor from various references; see credits.

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    Derivations & Misspellings: Base

    Derivations

    Words beginning with "base": baseball, baseballs, baseboard, baseboards, baseborn, based, baseless, baseline, baseliner, baseliners, baselines, basely, baseman, basemen, basement, basementless, basements, baseness, basenesses, basenji, basenjis, baser, baserunning, baserunnings, bases, basest. (additional references)

    Words ending with "base": abase, database, debase, diabase, firebase, freebase, kilobase, postbase, rheobase, subbase, surbase, wheelbase. (additional references)

    Words containing "base": abased, abasedly, abasement, abasements, abaser, abasers, abases, anabases, databases, debased, debasement, debasements, debaser, debasers, debases, diabases, firebases, freebased, freebaser, freebasers, freebases, kilobases, rheobases, subbasement, subbasements, subbases, surbased, surbases, unbased, wheelbases. (additional references)


    Misspellings

    "Base" is suggested in spellcheckers for the following: Absey, Absu, baaz, bacee, baci, Bacie, bae, baeej, baie, baise, Baje, Bajee, Baksay, bamsa, bape, Barse, Barsi, basa, basag, basam, Basden, baseej, basen, baset, basey, basf, bashen, basia, baske, Basm, baso, basow, basq, basqe, Bassa, basse, Bassee, Bassem, Bassi, bassij, bassy, basw, basx, Batse, bause, bave, bawe, bawse, baxe, baz, baze, Bazen, bazeu, bazi, Bcas, bdafsa, bease, Beese, besa, besi, beso, Besse, Beze, bhsai, Bhsi, biase, Biasi, biqe, Bisdee, Bisi, biso, Bissex, Bnsa, bosce, bose, bosse, Bpas, bpsa, brase, bsa, Bsaa, bse, Bsec, Buabse, buase, buse, jase, kase, qasem, zase. (additional references)

    Source: compiled by the editor, based on several corpora (additional references).

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    Rhyming with "Base"

    # of Phoneme MatchesPronunciationWord(s) rhyming with "base" (pronounced bā"s)
    3b ā" sdebase.
    2-ā" sAce, apace, brace, case, chase, dace, deface, disgrace, displace, efface, embrace, encase, erase, face, glace, grace, incase, interlace, lace, Mace, misplace, pace, place, race, replace, retrace, space, trace, vase.

    Source: compiled by the editor (additional references); see credits.

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    Anagrams: Base

    Scrabble® Enable2K-Verified Anagrams

    Direct Anagrams: sabe.

    Words within the letters "a-b-e-s"

    -1 letter: abs, bas, sab, sae, sea.

    -2 letters: ab, ae, as, ba, be, es.

     Words containing the letters "a-b-e-s"
     

    +1 letter: abase, abbes, abets, ables, abuse, abyes, babes, bakes, bales, banes, bares, based, baser, bases, baste, bates, beads, beaks, beams, beans, bears, beast, beats, beaus, bemas, betas, blase, braes, mabes, nabes, sabed, saber, sabes, sable, sabre, tabes.

     

    +2 letters: abased, abaser, abases, abates, abbess, abbeys, abeles, abides, ablest, abodes, aboves, abseil, absent, abused, abuser, abuses, adobes, ambers, ambles, amebas, ardebs, baases, babels, babies, baches, badges, bagels, baizes, bakers, balers, barbes, bardes, barest, barges, barres, baryes, basely, basest, bashed, basher, bashes, basked, basket, basque, basses, basset, basted, baster, bastes, bathes, beanos, beards, beasts, beauts, becaps, belays, belgas, bettas, biased, biases, blades, blames, blares, blazes, bleaks, blears, bleats, boheas, braces, braise, brakes, braves, brazes, breads, breaks, breams, breast, bursae, cabers, cables, ceibas, daubes, debars, debase, embars, embays, fables, gabies, gables, gambes, jambes, kebabs, kebars, labels, maybes, obeahs, rabies, rebars, rehabs, sabbed, sabers, sabine, sables, sabred, sabres, seabag, seabed, serdab, stable, suable, subsea, tabers, tables, usable, yerbas, zebras.

    Source: compiled by the editor from various references; see credits.

    SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.

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    INDEX

    1. Definition
    2. Synonyms
    3. Crosswords
    4. Usage: Modern
    5. Usage: Commercial
    6. Images: Slideshow
    7. Images: Photo Album
    8. Images: Digital Art
    9. Sounds
    10. Quotations: Familiar
    11. Quotations: Fiction
    12. Quotations: Non-fiction
    13. Quotations: Spoken
    14. Quotations: Speeches
    15. Usage Frequency
    16. Names: Frequency
    17. Names: Derived from
    18. Names: Company Usage
    19. Expressions
    20. Expressions: Internet
    21. Translations: Modern
    22. Translations: Ancient
    23. Bible Trace
    24. Abbreviations
    25. Acronyms
    26. Derivations
    27. Rhymes
    28. Anagrams
    29. Bibliography


      

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