constant

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Dictionary:

constant

  (kŏn'stənt) pronunciation
adj.
  1. Continually occurring; persistent.
  2. Regularly recurring: plagued by constant interruptions.
  3. Unchanging in nature, value, or extent; invariable. See synonyms at continual.
  4. Steadfast in purpose, loyalty, or affection; faithful. See synonyms at faithful.
n.
  1. Something that is unchanging or invariable.
    1. A quantity assumed to have a fixed value in a specified mathematical context.
    2. An experimental or theoretical condition, factor, or quantity that does not vary or that is regarded as invariant in specified circumstances.

[Middle English, from Old French, from Latin cōnstāns, cōnstant-, present participle of cōnstāre, to stand firm : com-, intensive pref.; see com– + stāre, to stand.]

constantly con'stant·ly adv.
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In programming, a fixed value in a program. Minimum and maximum amounts, dates, prices, headlines and error messages are examples.



 

Value that does not change in testing, so that the effects of changes in the values of other elements can be studied. For example, when a control package is tested against a test package, one element, such as offer, copy or design, is changed and all other elements are held constant. Any difference in response to the control and test packages can be attributed to the element that changed.

 

Value that remains unchanged, for example, during the execution of a computer program. Literal expressions, such as 3.5 and George Washington are constants because they always stand for the same value.

 
Antonyms: constant

adj

Definition: fixed
Antonyms: changeable, fickle, fluctuating, inconstant, irregular, unstable, unsteady, varying, wavering

adj

Definition: loyal, determined
Antonyms: disloyal, fickle, flagging, inconstant, undecided, undetermined, untrue, untrustworthy

adj

Definition: never-ending
Antonyms: concluding, ending, interrupted, stopping, terminable, terminating


 

A term in a logical calculus to which any interpretation assigns a fixed meaning, unlike a variable or schematic letter.

 

In science, a term or symbol with a constant value.

 

A number that appears in equations and formulas and does not vary or change. Examples are Planck's constant and the speed of light.

 

A datum, fact or principle that is not subject to change.

  • Michaelis c. (Km) — a dissociation constant for the substrate concentration in an enzymatic reaction.
  • c. (C) region — see constant domains.
 
Word Tutor: constant
pronunciation

IN BRIEF: Unchanging.

pronunciation Success is still the constant application of the Golden Rule. — Unknown - quoted from www.zaadz.com.

 
Wikipedia: Constant

In mathematics and the mathematical sciences, a constant is a fixed, but possibly unspecified, value. This is in contrast to a variable, which is not fixed.

Unspecified constants

The most widely mentioned sort of constant is a fixed, but possibly unspecified number. For example, consider "c" in the Pythagorean Theorem: a2 + b2 = c2. Here, "c" is the hypotenuse of a right triangle. Though the exact value of "c" is unspecified, it always represents the hypotenuse in the Pythagorean Theorem (while a and b are interchangeable [as far as the theorem is concerned] and represent the other two sides of the triangle).

Usually the term constant is used in connection with mathematical functions of one or more variable parameters. These parameters, or other variables, are often called x, y, or z, using lowercase letters from the end of the Latin alphabet. Constants are, by convention, usually denoted by lowercase letters from the beginning of the Latin alphabet, such as a, b, and c.

Specified constants

Of course, some constants have special symbols, because they are specified, such as 1 or π. A special case of this may be found in physics, chemistry, and related fields, where certain features of the natural world that are described by numbers are found to have the same value at all times and places.

For example, in Albert Einstein's special theory of relativity, we have the mass-energy equivalence formula

E = mc².

Here, the letter c stands for the speed of light in a vacuum, a constant physical quantity which is the same in all physical situations (to the best of current knowledge).

In contrast, the letter m stands for the mass of an object, which could be anything, so it is a variable. E stands for the object's rest energy, another variable, and the formula defines a function that gives rest energy in terms of mass.

In computer science, a specified constant is sometimes called an immediate. Immediates are simply a number, rather than a symbol. For example, in the phrase x=45, "45" is an immediate, while "x" is a variable that is assigned the constant value 45.

Constant term

A constant term is a number that appears as an addend in a formula, such as

f(x) = sinx + c.

Here the constant c is the constant term of the function f. The value of c has not been specified in this formula, but it must be a specific value for f to be a specific function.

The constant term may depend on how the formula is written. For example

f(x) = x3 + (sinx)2 + 4

and

g(x) = x3 - (cosx)2 + 5

are formulae for the same function.

In a polynomial (or a generalisation of a polynomial, such as a Taylor series or Fourier expansion), the constant term is associated to the exponent zero. Note that the constant term may be zero, however. In a sense, any formula has a constant term, if you allow the constant term to be zero.

For some purposes, the constant is taken to be the value of f(0), but this depends on the function being defined at 0; it would not work for f(x)=1-1/x.


See also

External links


 
Misspellings: constant

Common misspelling(s) of constant

  • constatn

 
Translations: Translations for: Constant

Dansk (Danish)
adj. - konstant, jævn, trofast, stabil
n. - konstant

Nederlands (Dutch)
voortdurend, herhaaldelijk, getrouw, constante

Français (French)
adj. - constant, continuel, permanent, incessant, répété
n. - (gén) facteur constant, (Math, Phys) constante

Deutsch (German)
n. - Konstante
adj. - dauernd, ständig, treu, konstant

Ελληνική (Greek)
n. - (μαθημ.) σταθερά
adj. - σταθερός, ακλόνητος, αμετάβλητος, αφοσιωμένος

Italiano (Italian)
costante, continuo, fedele

Português (Portuguese)
n. - constante (f) (Mat.) (Fís.)
adj. - constante

Русский (Russian)
константа, постоянный, преданный, неизменный

Español (Spanish)
adj. - fiel, leal, constante, continuo, incesante
n. - constante

Svenska (Swedish)
n. - konstant (mat. o fys.)
adj. - ständig, beständig, stadig, fast, trofast

中文(简体) (Chinese (Simplified))
不变的, 坚决的, 持续的, 常数, 恒量

中文(繁體) (Chinese (Traditional))
adj. - 不變的, 堅決的, 持續的
n. - 常數, 恆量

한국어 (Korean)
adj. - 변치 않는, 불굴의, (한가지를) 끝까지 지키는
n. - 불변의 것, 항수

日本語 (Japanese)
adj. - 一定の, 不変の, 絶え間のない, 不断の, 心変わりをしない
n. - 定数

العربيه (Arabic)
‏(الاسم) الثابت, ثابته (صفه) ثابت, وفي, راسخ, مستمر‏

עברית (Hebrew)
adj. - ‮קבוע, רצוף, נאמן, יציב‬
n. - ‮גודל קבוע‬


 
Best of the Web: Constant

Some good "constant" pages on the web:


American Sign Language
commtechlab.msu.edu
 

Math
mathworld.wolfram.com
 
 
 

Did you mean: constant, Constant (art), Benjamin Constant (French-Swiss politician, writer & novelist), Constant (first name), Paul-Henri-Benjamin d'Estournelles de Constant More...

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