An activity that is natural to or the purpose of a person or thing
the main function of the machine
The way in which the structure of something relates to its function. rare.
Either of the two linearly independent solutions to the differential equation d2 y/dx 2−xy = 0, which are usually expressed in the form of an indefinite integral.
Chiefly Astronomy. A function involving relationships of mass; specifically (a) a relationship used to determine the masses of the two stars of a spectroscopic binary when only the spectrum of one star (m 1) can be observed, namely (m 2 3 sin3 i)/(m 1 + m 2)2, where m 1 and m 2 are the star masses and i is the inclination of the orbit; (b) an expression describing the number of objects per unit volume in different ranges of mass, for a group of stars, galaxies, etc.
A continuous function whose value increases linearly for a particular range of values of the independent variable, and is constant outside this range; specifically the function f(x) = x + ?x?/2, which is zero for negative values of the argument and is linear with a gradient of 1 for positive values.
A function expressing risk; specifically (in decision theory) a function expressing the uncertainties associated with the expected losses resulting from the possible outcomes of a decision.
A button on a computer keyboard, distinct from the main alphanumeric keys, to which software can assign a particular function
A room in a hotel, pub, or similar public building that is used for social events, meetings, or ceremonies
A word whose purpose is to contribute to the syntax rather than the meaning of a sentence, for example do in we do not live here
A function that increases or decreases abruptly from one constant value to another
A function that satisfies a wave equation and describes the properties of a wave
The minimum quantity of energy which is required to remove an electron to infinity from the surface of a given solid, usually a metal
A function (symbol Γ) which extends the notion of factorial n (written n!) from positive whole numbers to real and complex variables, given by Γ(z) = ∫∞ 0 t z − 1 e −t dt.
The equation expressing the Gibbs free energy.
A kind of function used in solving non-homogeneous differential equations.
An unintended consequence of social actions, structures, etc., which is not recognized by the participants.
A function which depends on the state of a physical system, specifically the position of a point in this system.
Mathematics. A function which relates one quantity to an exponential power of another quantity; a function of the form y = ax n.
A quantity in thermodynamics, such as entropy or enthalpy, that has a unique value for each given state of a system
A function whose truth value is dependent on the truth value of its arguments
Mathematics the transformation of the complex plane Z = 1/π(e z + z + 1), which arises in the representation of fluid flow through a spout with infinite plane walls (disused).
An intended consequence of social actions, structures, etc., which is recognized by the participants.
An even or odd periodic function that satisfies Mathieu's equation.
A function of a real variable x equal to ((cos nπ) J n(x) − J −n(x))/sin nπ (where J n is a Bessel function), which is a solution of Bessel's equation when n is not an integer.
A sum of the form ∑ i Ωi exp (−Ei/kT) (where Ωi is the degeneracy of the state with energy E i, k is Boltzmann's constant, and T the absolute temperature), or an analogous integral, which enters into the expression for the distribution of the particles of a system among different energy states and other thermodynamic quantities (symbol Z).
A mathematical function by the differentiation of which can be expressed the (gravitational, electromagnetic, etc.) force at any point in space arising from a system of bodies, electrical charges, etc. More widely: any function from which a vector field can be derived by differentiation.
A private party or other social event.
A function which has or which may be given a recursive definition; also in extended use.
Psychol. a context-specific response to a stimulus, relating to its significance to the responder.
Any of various mathematical functions regarded as particularly important, especially in mathematical physics.
Short for probability density function.
(In linear programming) the function that it is desired to maximize or minimize
A function returning to the same value at regular intervals
A mathematical function relating the output or response of a system such as a filter circuit to the input or stimulus
A mathematical function which ranks alternatives according to their utility to an individual
A function used to define a series of numbers when the function is expressed as a power series whose coefficients form the series.
A function expressing the potential of the factors which cause perturbation, especially (Astronomy) in the motion of a celestial object.
The spatial extent of the image of a point; a mathematical expression giving this for a particular optical system.
A probability distribution; any function that is everywhere non-negative and whose integral between −∞ and +∞ is 1.
A statement with one or more terms unspecified which becomes a proposition when the terms are specified (as X is mortal → Socrates is mortal).
The part of the general solution of a linear differential equation which is the general solution of the associated homogeneous equation obtained by substituting zero for the terms not containing the dependent variable
A function of several variates used to assign items into one of two or more groups. The function for a particular set of items is obtained from measurements of the variates of items which belong to a known group
A function whose value is a constant raised to the power of the argument, especially the function where the constant is e
A function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts
A mathematical function that expresses the autocorrelation of a series or array in terms of the separation interval.
A mathematical function that expresses the autocovariance of a series in terms of the interval of separation.
An analytic function ζ of the complex variable z equal to 1−z + 2−z + 3−z + … when the real part of z is greater than 1. Also written Riemann ζ function.
A function whose result is unity for the members of a given set and zero for all non-members
Fulfil the purpose or task of (a specified thing)