# variable

## Definitions

• WordNet 3.6
• adj variable (used of a device) designed so that a property (as e.g. light) can be varied "a variable capacitor","variable filters in front of the mercury xenon lights"
• adj variable liable to or capable of change "rainfall in the tropics is notoriously variable","variable winds","variable expenses"
• adj variable marked by diversity or difference "the varying angles of roof slope","nature is infinitely variable"
• n variable a quantity that can assume any of a set of values
• n variable a symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity
• n variable something that is likely to vary; something that is subject to variation "the weather is one variable to be considered"
• n variable a star that varies noticeably in brightness
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Webster's Revised Unabridged Dictionary
• Variable (Math) A quantity which may increase or decrease; a quantity which admits of an infinite number of values in the same expression; a variable quantity; as, in the equation x2 - y2 = R2 x and y are variables .
• Variable (Naut) A shifting wind, or one that varies in force.
• Variable Having the capacity of varying or changing; capable of alternation in any manner; changeable; as, variable winds or seasons; a variable quantity.
• Variable Liable to vary; too susceptible of change; mutable; fickle; unsteady; inconstant; as, the affections of men are variable; passions are variable. "Lest that thy love prove likewise variable .""His heart, I know, how variable and vain!"
• Variable That which is variable; that which varies, or is subject to change.
• Variable (Naut) Those parts of the sea where a steady wind is not expected, especially the parts between the trade-wind belts.
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Century Dictionary and Cyclopedia
• variable Apt to change; changing or altering in a physical sense; liable to change; changeable.
• variable In botany and zoology, embracing many individuals and groups (varieties, subspecies, forms, states) which depart somewhat from the strict type: said of a species or, in a similar sense, of some particular character.
• variable Liable to vary or change, in a moral sense; mutable; fickle; inconstant: as, variable moods.
• variable Capable of being varied, altered, or changed; liable to change; alterable; in grammar, capable of inflection.
• variable In mathematics, quantitatively indeterminate, and considered with reference to the various determinations of quantity that are possible in the case. See II.
• variable In astronomy, changing in brightness
• variable Synonyms and Wavering, unstable, vacillating, fluctuating, fitful.
• n variable That which is variable; that which varies, or is subject or liable to vary or change.
• n variable In mathematics, a quantity which is indeterminate, and is considered with reference to its different possible values; originally, a quantity capable of values continuously connected in one dimension, so that it could be conceived as running through them all in the course of time. This meaning still remains; but we now speak of the position of a point as variable in two or three dimensions, and we also speak of the arguments of functions in the calculus of finite differences, where there is no approach to continuity, as variables. The difference between an indeterminate constant and a variable is frequently a mere difference of designation; but constants, though indeterminate, are not usually considered with reference to the different values which they may take. Mathematically there is very little (and no precise) difference between a variable and an unknown.
• n variable A shifting wind, as opposed to a trade-wind; hence, the variables, the intermediate region or belt between the northeast and the southeast trade-winds. The region varies in width from about 150 to 500 miles, and is characterized by calms, shifting breezes, and sometimes violent squalls, the laws of which are not so readily understood as are those of the tradewinds. The name is also generally given to those parts of the ocean where variable winds may be expected.
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Chambers's Twentieth Century Dictionary
• adj Variable vā′ri-a-bl that may be varied: changeable: liable to change: unsteady: : :
• n Variable (math.) a quantity subject to continual increase or decrease: a quantity which may have an infinite number of values in the same expression: a shifting wind
• v.i Variable to change
• adj Variable vā′ri-a-bl (bot., zool.) of a species embracing many individuals and groups departing more or less from the strict type
• adj Variable vā′ri-a-bl (math.) quantitatively indeterminate
• adj Variable vā′ri-a-bl (astron.) changing in brightness
• ***

## Quotations

• Doug Horton
“Beauty is variable, ugliness is constant.”
• Susan Gerhart
“One person's constant is another person's variable.”
“There is not so variable a thing in nature as a lady's head-dress.”
• David Hare
“Sudden resolutions, like the sudden rise of mercury in a barometer, indicate little else than the variability of the weather.”
• Gilbert K. Chesterton
“Variability is one of the virtues of a woman. It avoids the crude requirement of polygamy. So long as you have one good wife you are sure to have a spiritual harem.”

## Etymology

Webster's Revised Unabridged Dictionary
L. variabilis,: cf. F. variable,
Chambers's Twentieth Century Dictionary
Fr.,—L. variabilis.

## Usage

### In literature:

Thus variable, thus virtuous was the life; thus excellent, thus exemplary was the death of this memorable man.
"Devotions Upon Emergent Occasions" by John Donne
How'd you like to live on a planet of a Cepheid Variable?
"The Ultimate Weapon" by John Wood Campbell
They were to familiarize themselves with the results of making the acceleration of such missiles variable during flight.
"Talents, Incorporated" by William Fitzgerald Jenkins
The time at which these changes make their appearance is variable.
"The Physical Life of Woman:" by Dr. George H Napheys
This grass is a variable one.
"A Handbook of Some South Indian Grasses" by Rai Bahadur K. Ranga Achariyar
The variable position of the testicle in Figs.
"Surgical Anatomy" by Joseph Maclise
It is an error to speak of man "tampering with nature" and causing variability.
"The Variation of Animals and Plants Under Domestication, Vol. I." by Charles Darwin
It belongs to the category of variable stars which we shall study later on.
"Astronomy for Amateurs" by Camille Flammarion
It is not asserted that natural selection induces variability.
"The World's Greatest Books - Volume 15 - Science" by Various
The labourer, he says, 'gives a constant, but receives a variable quantity in its stead.
"The English Utilitarians, Volume II (of 3)" by Leslie Stephen
The sole symptom is an unnatural oiliness, variable as to degree.
"Essentials of Diseases of the Skin" by Henry Weightman Stelwagon
There is great variability in the compactness of the spores in the sori, or pulvinules.
"Fungi: Their Nature and Uses" by Mordecai Cubitt Cooke
In that case we use a variable inductance as in Fig.
"Letters of a Radio-Engineer to His Son" by John Mills
This character, "strap", is very variable and has not yet been thoroughly studied.
"A Critique of the Theory of Evolution" by Thomas Hunt Morgan
It differs under variable conditions.
"A Republic Without a President and Other Stories" by Herbert Ward
Toward the more variable, complex sort of stimuli, greater attention, constant adjustment and readjustment, are necessary.
"Creative Intelligence" by John Dewey, Addison W. Moore, Harold Chapman Brown, George H. Mead, Boyd H. Bode, Henry Waldgrave, Stuart James, Hayden Tufts, Horace M. Kallen
It is variable, generally faint, but in 1837 it became temporarily one of the brightest stars in the sky.
"The New Gresham Encyclopedia. Vol. 1 Part 2" by Various
In form the chrysalides of butterflies and moths are as variable as the caterpillars.
"Butterflies and Moths" by William S. Furneaux
We give the name bread to a substance containing variable proportions of flour and water.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 8" by Various
The condition of the system then becomes perfectly defined on arbitrarily giving one of the variables a certain value.
"The Phase Rule and Its Applications" by Alexander Findlay
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### In poetry:

And yet I am the lord of all, And this brave world magnifical,
Veiled in so variable a mist
It may be rose or amethyst,
Demands me for the lord of all!
"Haschisch" by Arthur Symons
You were not over-patient with me, dear;
This want of patience one must rightly rate:
You are so young! Youth ever was severe
And variable and inconsiderate!
"Birds In The Night" by Paul Verlaine

### In news:

Upgrading chillers with variable-speed technology saves energy and cuts greenhouse gas emissions.
Cleanroom Variable Airflow Design.
When they do occur, their clinical presentation is variable, and some are fairly vascular.
On Friday, ODOT officials announced plans to add new variable speed limit signs to state roadways under construction.
The speed is changed by means of a variable frequency inverter.
"Having a PhD in chemistry just means that you know how to run an experiment correctly, understand the variables, and know how to document it well," says McMinn.
BLACK & DECKER introduced the Gyro 4-volt Max, the first motion-activated screwdriver that controls variable speed and direction.
Now that everyone is preaching their Lessons of Katrina, let's conduct a little thought experiment with variables.
"These five ranked factors combine 22 different variables that form the operational definition of literacy .".
NGC 371 is home to an unexpectedly large number of variable stars.
If you own or manage a business, you know the variable cost for minutes, texts, and data can grow quickly.
Laboratory Variability and Precise Clinical Decision Making.
Hundreds of skiers hit the slopes on Saturday under sunny skies with mild temperatures and variable conditions.
Either variable can lead to an Eagles loss.
What is your opinion on a variable universal life policy.
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### In science:

To distinguish PCSFT from conventional theories with hidden variables, we shall call classical ﬁelds φ ∈ Ω ontic hidden variables, cf. . “Ontic” does not mean that effects such variables could not be measured in principle.
Parallelism of quantum computations from prequantum classical statistical field theory (PCSFT)
Motivated by the study of dependent random variables by coupling with independent blocks of variables, we obtain ﬁrst suﬃcient conditions for the moderate deviation principle in its functional form for triangular arrays of independent random variables.
Functional moderate deviations for triangular arrays and applications
These results open the way to address the moderate deviation principle for classes of dependent random variables that were not studied so far, by dividing the variables in blocks that are further approximated by a triangular array of independent random variables.
Functional moderate deviations for triangular arrays and applications
Since the sum of Poisson random variables is also a Poisson random variable, the total number Nλ := Pv∈V d(v ) of clones is a Poisson λn random variable.
Poisson Cloning Model for Random Graphs
To that purpose consider a set of i.i.d. random variables {yi} described by an arbitrary distribution, and a random variable v , independent of the variables yi , described by a cumulative distribution F (v).
Global fluctuations in physical systems: a subtle interplay between sum and extreme value statistics
During the second phase, instead, the time variable is incremented while all the other state variables stay unchanged, thus representing time progressing; all processes also synchronously update their time variables by the same amount, which can possibly be inﬁnite (divergent behavior).
Modeling Time in Computing: A Taxonomy and a Comparative Survey
For each cell, totally positive bases(TP-bases) is deﬁned as the minimal set of Pl¨ucker variables such that all other nonzero Pl¨ucker variables in the cell can be expressed in those variables in a subtraction-free rational function.
\$\LE\$-diagrams and totally positive bases inside the nonnegative Grassmannian
TP-bases for each cell is deﬁned as the set of algebraically independent Pl¨ucker variables B such that all other nonzero variables in the cell can be expressed as subtraction-free rational function in variables of B .
\$\LE\$-diagrams and totally positive bases inside the nonnegative Grassmannian
Let’s deﬁne TP-bases as the set of algebraically independent Pl¨ucker variables B such that all other nonzero variables in the cell can be expressed as subtraction-free rational function in variables of B .
\$\LE\$-diagrams and totally positive bases inside the nonnegative Grassmannian
Since each dot stands for a variable and each variable corresponds to a dot, we will use the term dots and Pl¨ucker variables interchangeably.
\$\LE\$-diagrams and totally positive bases inside the nonnegative Grassmannian
The problem-solution interdependence relation linearly extends to an inﬁnite set of variables representing the amplitudes of the computational basis vectors throughout the quantum process (these latter variables are function of the above population variables).
The quantum speed up as advanced knowledge of the solution
These papers only deal with the case of independent random variables, and in the case of identically distributed variables, and for non-identical variables satisfying a Lindeberg-like condition.
Information inequalities and a dependent Central Limit Theorem
So let us consider an integrable Hamiltonian system and suppose to write it in action-angle variables, H = H(p), where p ∈ B ⊂ Rn denotes the action variables and q ∈ Tn denotes the angle variables.
Global dynamics of high area-to-mass ratios GEO space debris by means of the MEGNO indicator
It is not easy to compute directly the Jacobian of the change of variables, the strategy is to use Fourier transform to make the change of variables on free variables.
Random walks in random Dirichlet environment are transient in dimension \$d\ge 3\$
In the regime L → ∞, the input variables {ξij /L} (jointly) converge in distribution to independent exponential random variables, the variable corresponding to ξij /L having parameter πi + ˆπj .
On the largest-eigenvalue process for generalized Wishart random matrices
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