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function

Definitions

  • The Function of Accommodation
    The Function of Accommodation
  • WordNet 3.6
    • v function perform duties attached to a particular office or place or function "His wife officiated as his private secretary"
    • v function perform as expected when applied "The washing machine won't go unless it's plugged in","Does this old car still run well?","This old radio doesn't work anymore"
    • v function serve a purpose, role, or function "The tree stump serves as a table","The female students served as a control group","This table would serve very well","His freedom served him well","The table functions as a desk"
    • n function the actions and activities assigned to or required or expected of a person or group "the function of a teacher","the government must do its part","play its role"
    • n function what something is used for "the function of an auger is to bore holes","ballet is beautiful but what use is it?"
    • n function a set sequence of steps, part of larger computer program
    • n function a vaguely specified social event "the party was quite an affair","an occasion arranged to honor the president","a seemingly endless round of social functions"
    • n function a formal or official social gathering or ceremony "it was a black-tie function"
    • n function a relation such that one thing is dependent on another "height is a function of age","price is a function of supply and demand"
    • n function (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
    • ***
Webster's Revised Unabridged Dictionary
  • Interesting fact: Researches have discovered that eating five or more apples a week is linked to better functioning of the lungs
    • Function A public or social ceremony or gathering; a festivity or entertainment, esp. one somewhat formal. "This function, which is our chief social event."
    • Function (Math) A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
    • Function (Eccl) A religious ceremony, esp. one particularly impressive and elaborate. "Every solemn ‘ function ' performed with the requirements of the liturgy."
    • Function The act of executing or performing any duty, office, or calling; performance. "In the function of his public calling."
    • Function (Physiol) The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
    • Function The course of action which peculiarly pertains to any public officer in church or state; the activity appropriate to any business or profession. "Tradesmen . . . going about their functions .""The malady which made him incapable of performing his
      regal functions."
    • Function The natural or assigned action of any power or faculty, as of the soul, or of the intellect; the exertion of an energy of some determinate kind. "As the mind opens, and its functions spread."
    • v. i Function To execute or perform a function; to transact one's regular or appointed business.
    • ***
Century Dictionary and Cyclopedia
  • Interesting fact: The human liver performs over 500 functions
    • n function Fulfilment or discharge of a set duty or requirement; exercise of a faculty or office.
    • n function Activity in general; action of any kind; behavior.
    • n function Power of acting; faculty; that power of acting in a specific way which appertains to a thing by virtue of its special constitution; that mode of action or operation which is proper to any organ, faculty, office, structure, etc.
    • n function That which one is bound or which is one's business to do; business; office; duty; employment.
    • n function An official ceremony. Eccles., a religious service with elaborate ritual and music.
    • n function Any important occasion marked by elaborate ceremonial: extended in recent use to cover social entertainments, as operas, balls, and receptions.
    • n function In mathematics, a mathematical quantity whose value depends upon the values of other quantities, called the arguments or independent variables of the function; a mathematical quantity whose changes of value depend on those of other quantities called its variables. Thus, if the diameter of a circle be conceived to vary in length, the length of the circumference will also vary with it, in accordance with a fixed geometrical law, and is therefore a function of the diameter, the latter being regarded as the independent variable. So in the equation y = ax + b, if x be conceived to vary independently, y will be its function, since its value will vary with each successive value of x. The common algebraic notation is y = f, to be read “y is a function of x.” F, ф, and other letters are often used in place of feminine It is not the special value of fx, but this Quantity considered as variable and as depending upon x, which is called the function. It is even called the same function irrespective of the special values of certain parameters upon which it may depend, and which are considered not as variables, but as constants. The earlier analysts used function to mean merely a power, or continued product of a quantity into itself. The present mathematical meaning first appears in the Latin correspondence between Leibnitz and John Bernoulli Mathematical usage is not precisely settled as to the meaning, and this in two respects. First, as some writers use the word, the possible values of the function depend upon the values of the variables; so that, if y is a function of x, there must be some value which y can take for some value of x, which it cannot take for some other value of x. But other writers hold that two quantities which are functions of a third are functions of each other. For example, if x = tan t and y = tan (t √ 2)+ i tan (t √ 3), they hold that y is a function of x, although it can take every value for every value of x; for there is even here a connection between the values of x and y, so that in the course of any continuous change of x the mode of change of y is somewhat restricted. Secondly, according to the usage of Cauchy and his followers, if an imaginary quantity, X + Yi, be so connected with another. x + yi, that X and Y are each of them functions of x and y, say X = F (x, y) and Y = f (x, y), then the former imaginary is a function of the other; but the majority of mathematicians have restricted the name function to what the school of Cauchy would term monogenous and differentiable functions, although such a restriction is impossible where the variable does not vary continuously. The tendency of recent writers is to give the greatest possible breadth to the application of the term.
    • n function Hence, anything which is dependent for its value, significance, etc., upon something else.
    • n function See the adjectives.
    • n function see the adjectives.
    • n function See the adjectives.
    • n function One of several functions related to in the same manner in which ordinary elliptic functions are related to, being merely transformed elliptic functions.
    • n function See the adjectives.
    • n function a function such that the interval of the variable considered may be so divided into parts that the function is continuous, differentiable, etc., in each part.
    • n function In a generalized sense, a function which has its value unchanged by the substitution for its variable of a certain algebraic function thereof. A periodic function of the second kind is one for which this function is linear.
    • n function Two physical quantities whose several mathematical relations to two other physical quantities are the same.
    • n function which may, for instance, be either limited or unlimited.
    • function To perform a function; work; act; functionate; especially, in physiology, to have a function; do or be something physiologically.
    • n function See graph.
    • n function A function differing from that just defined by log/r.
    • ***
Chambers's Twentieth Century Dictionary
  • Interesting fact: When you sneeze, all your bodily functions momentarily stop, including your heart
    • n Function fungk′shun the doing of a thing: duty peculiar to any office: faculty, exercise of faculty: the peculiar office of any part of the body or mind: power: a solemn service:
    • n Function fungk′shun (math.) a quantity so connected with another that any change in the one produces a corresponding change in the other: the technical term in physiology for the vital activity of organ, tissue, or cell
    • ***

Quotations

  • Margaret Thatcher
    Margaret%20Thatcher
    “To wear your heart on your sleeve isn't a very good plan; you should wear it inside, where it functions best.”
  • Kelvin Throop III
    Kelvin Throop III
    “There is no such thing as a functional illiterate.”
  • Oliver Wendell Holmes
    Oliver%20Wendell%20Holmes
    “To live is to function. That is all there is in living.”
  • Thomas Robert Dewar
    Thomas Robert Dewar
    “Minds are like parachutes, they only function when they are open.”
  • Source Unknown
    Source Unknown
    “The mind like a parachute functions only when open.”
  • Dylan Thomas
    Dylan Thomas
    “The function of posterity is to look after itself.”

Etymology

Webster's Revised Unabridged Dictionary
L. functio, fr. fungi, to perform, execute, akin to Skr. bhuj, to enjoy, have the use of: cf. F. fonction,. Cf. Defunct
Chambers's Twentieth Century Dictionary
O. Fr.,—L. function-emfungi, functus, to perform.

Usage

In literature:

THE FUNCTION OF THE FLY-WHEEL.
"How it Works" by Archibald Williams
Even the most stalwart supporters of the present order must agree that the system does not function smoothly.
"The Next Step" by Scott Nearing
This first specialization of function, once commenced, tends ever to become more decided.
"Essays: Scientific, Political, & Speculative, Vol. I" by Herbert Spencer
There is a very general idea that Sex is a physical function only.
"Sex=The Unknown Quantity" by Ali Nomad
The sexual functions do not cease completely, although they cannot lead to fecundation.
"The Sexual Question" by August Forel
The dignity of its function.
"Modern Painters Volume II (of V)" by John Ruskin
The high rank and function of ideas of beauty.
"Modern Painters Volume I (of V)" by John Ruskin
Every one admits the differences of function that separate the female from the male half of humankind.
"The Truth About Woman" by C. Gasquoine Hartley
But it is only a link in the chain and not a body through which the soul can function.
"Elementary Theosophy" by L. W. Rogers
Feed should be given in moderate quantities, as excess by overtaxing the digestive functions may bring on a relapse.
"Special Report on Diseases of Cattle" by U.S. Department of Agriculture
They have various names, according to their nature and function; as, the blood, and the bile.
"A Treatise on Anatomy, Physiology, and Hygiene (Revised Edition)" by Calvin Cutter
Language is an important social function.
"History of Human Society" by Frank W. Blackmar
Everything had been arranged accordingly; and I was thus present at a function which will never take place again.
"Memoirs of Life and Literature" by W. H. Mallock
But in America the Judge has an additional function; he is to determine the Constitutionality of a law.
"The Trial of Theodore Parker" by Theodore Parker
I learn that there are two functions which all life must perform: Nutrition and Reproduction.
"The Kempton-Wace Letters" by Jack London
The function goes on in the organ always, from puberty to old age.
"Plain Talks on Avoided Subjects" by Henry Newell Guernsey
The whole of the theory has been extended to include symmetric functions symbolized by partitions which contain as well zero and negative parts.
"Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 7" by Various
Greater intricacy in apparatus and in methods is warranted when it is found desirable to make the machine perform added functions.
"Cyclopedia of Telephony and Telegraphy, Vol. 2" by Kempster Miller
But this is a new function for libraries, however useful it may be, and a function which libraries do not attempt for women.
"The Library and Society" by Various
This modification of function and form constitutes "reason" or, better, reasoning.
"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
***

In poetry:

Where, loosed from trammels, one may still
Complete the functions fettered here;
Heart unsuborned, unbiassed will,
And intellect sincere.
"Free" by Alfred Austin
A palace she might well have graced.
And led its functions like a queen;
Instead, her life has run to waste,
The wraith of what it might have been.
"Mesalliance" by John Lawson Stoddard
Through house and garden thus in state
We strutted early, strutted late,
Repeating with all proper unction,
Incessantly each holy function.
The best was wanting to the game;
"Playing At Priests" by Johann Wolfgang von Goethe
Deep, he makes the stone of light,—
A heritage from reign to reign,
Of purest sparkle on the functional brow.
Life hangs upon his sight.
O Sun that Adam saw, I see thee now!
"Song The Tenth" by Thomas Aird
—We too back to the world shall never pass
Through the shattered door, a dumb shade-harried crowd
Being all infinite, function depth and mass
Without figure, a mathematical shroud
"Last Days Of Alice" by Allen Tate
"And should they do so and the coffin uncover,
The corpse underneath it would be no ill sight;
This frame, when its animal functions are over,
Has nothing of horror the living to fright.
"Nurse Green" by Charles Lamb

In news:

This interface brings a more robust functionality to the systems already installed.
MarCal digital waterproof calipers include a reference system for zero position, as well as thumb support, large display, data output function and longer battery life than previous models.
Functions of Cells Recruited to the Tumor Microenvironment p309.
The discovery of the p85 protein and its function in tumours may help to battle the deadly disease, according to Dr Deborah Anderson and her team from the Saskatchewan Cancer Agency.
Amy talks with Dr Jim McGlone and Barbara White of the Virginia Department of Forestry about the importance and function of a rain garden.
Members explore carbohydrate manufacture, characterization, function, and use.
Our members come from a wide range of backgrounds and perform a variety of functions for their organizations.
The Practice Nurse Practitioner transforms care by performing a variety of functions and technical procedures necessary for the admission of patients.
With the official summer months inching ever closing on the horizon, it's time to start wiping down that grill, making sure the burners are still functional, and getting it prepped for action.
Multi-function manifold block incorporates ten 3-position, 4-way and two 2-way cartridges, plus pump-pressure control and unloading function.
Astaxanthin improves age-associated mitochondrial function.
Berkeley have discovered that some of the net's most popular sites are using a tracking service that can't be evaded — even when users block cookies, turn off storage in Flash, or use browsers' "incognito" functions.
This is something that has come up over the last year, so I don't know whether it is a function of Windows XP or something else.
Although the parent can, and usually does, function as the custodian (manager) of the account, the money can legally be used only for expenditures that benefit that child.
Rather than installing a switch with the same limited functionality, a better solution to consider is a Unified Communications and Collaboration system that improves worker productivity in a cost-effective manner.
***

In science:

The θ -dependence of the partition function is obtained by summing over all topological sectors of the partition function according to Eq. (11), which applies to full QCD where the partition function is obtained by integrating over the gauge fields.
Random Matrix Theory and Chiral Symmetry in QCD
However, in order to implement function-dependent phase transform without any knowledge on the structure of the given function we have to evaluate the function on quantum computer.
Quantum Algorithm for Generalized Deutsch-Jozsa Problem
Here C ˆG is the ring of functions ˆG → C (with functions multiplied pointwise), and the Fourier transform of a = Px axx is the function ˆa given by ˆa(χ) = Px axχ(x); see [30, Section 6.2].
Semigroups, rings, and Markov chains
We interpret the sections sx (Z 0 |C ) as being the contributions to the partition function from the collective coordinates, whereas the functions θx (Z 0 ) form a vector of different partition functions for the ‘internal’ degrees of freedom.
A class of six-dimensional conformal field theories
These results are related to factorization theorems for operator-valued functions of the Leech type : that is, we are given partially defined operator-valued functions A(z) and B (z), and it is required to find a generalized Schur function S (z) such that B (z) = A(z)S (z).
A note on interpolation in the generalized Schur class
Because our probability function based description of the shock acceleration described in Section 5.1 needs only two probability functions PUW and PDW to obtain the spectral index, it can be extended to include other scattering or deflection mechanisms if corresponding probability functions can be defined.
Application of random walk theory to the first order Fermi acceleration in shock waves
The score function h(x) is zero for x < 5, where the probability is high; h(x) = 1 for x > 5 where the probability is negligibly small. (b) The importance density function g(ˆb, x) and the modified score function H (x) = h(x)f (x)/g(ˆb, x), where ˆb = 0.18 .
An Introduction to Monte Carlo Simulation of Statistical physics Problem
The characteristic function Ψ(k) of a distribution function G(x) is defined to be R ∞ −∞ exp(ikx)dG(x), that is, as the Fourier transform of the density function.
Harmonic mean, random polynomials and stochastic matrices
Momfuncs, into the basic functions of the helicity formalism, see Eq. (2.23) for the S functions and Eq. (2.25) for the definition of the µ and η functions.
AMEGIC++ 1.0, A Matrix Element Generator In C++
The height function induced by T and v is the function that maps each vertex x of P to the image by the evaluation function of any valid path from v to x.
An algorithm to generate exactly once every tiling with lozenges of a domain
The two most common types of generating functions are ordinary generating functions P f (n)xn, and exponential generating functions P f (n)xn/n!.
Generating functions for moments of the quasi-nilpotent DT-operator
Observe that there is a natural bijective correspondence between (partial) functions and their graph. A particular case of (partial) function graphs is the (partial) permutation graph, where we require that the (partial) function of the graph is injective.
Permutation graphs, fast forward permutations, and sampling the cycle structure of a permutation
They can be characterized in several equivalent ways: the commutator is a numerical distribution; the truncated (connected) n-point functions vanish for n 6= 2; the correlation functions factorize into 2-point functions; the generating functional for the correlation functions is a Gaussian.
Generalized free fields and the AdS-CFT correspondence
These functionals are defined as S = − R C (f )d3rd3v where C (f ) is a convex function of the distribution function.
Generalized thermodynamics and Fokker-Planck equations. Applications to stellar dynamics, two-dimensional turbulence and Jupiter's great red spot
The functions U (a, z ) and Dν (z ) are known as parabolic cylinder functions, Weber functions or Whittaker functions.
Poisson-Kingman partitions
***