The critical value of F is a function of the numerator

significance also required access to tables of the F function which

of a function f is a differentiable function F whose derivative is equal to f, i. e., F ′ = f. The process of solving for antiderivatives is called antidifferentiation ( or indefinite integration ) and its opposite operation is called differentiation, which is the process of finding a derivative.

The function F ( x )

Antiderivatives are important because they can be used to compute definite integrals, using the fundamental theorem of calculus: if F is an antiderivative of the integrable function f, then:

If F is an antiderivative of f, and the function f is defined on some interval, then every other antiderivative G of f differs from F by a constant: there exists a number C such that G ( x ) = F ( x ) + C for all x.

Let V, W and X be three vector spaces over the same base field F. A bilinear map is a function

* The modern Nikon F Mount SLR camera lenses from the late 1970s-present ( its design dates back to 1959 ) can function on the newer Nikon DSLR cameras with some limitations.

Cells that lack F plasmids are called F-negative or F-minus ( F < sup >-</ sup >) and as such can function as recipient cells.

If evolutionary processes are blind to the difference between function F being performed by conscious organism O and non-conscious organism O *, it is unclear what adaptive advantage consciousness could provide.

If φ is a scalar valued function and F is a vector field, then

Suppose that F is a partial function that takes one argument, a finite binary string, and possibly returns a single binary string as output.

The function F is called computable if there is a Turing machine that computes it.

This means that F can be used to simulate any computable function of one variable.

Informally, w represents a " script " for the computable function f, and F represents an " interpreter " that parses the script as a prefix of its input and then executes it on the remainder of input.

Unconcerned with the practical function of his actions, the dancer is engrossed exclusively in their `` motional content ''.

This is the primary function of the imagination operating in the absence of the original experiential stimulus by which the images were first appropriated.

But because it is the function of the mind to turn the one into the other by means of the capacities with which words endow it, we do not unwisely examine the type of distinction, in the sphere of politics, on which decisions hang.

`` Mr. Gross, your report says that ' our function is investigative and advisory and does not in any way derogate from or prejudice Mr. Bang-Jensen's rights as a staff member.

It is, however, a disarming disguise, or perhaps a shield, for not only has Mercer proved himself to be one of the few great lyricists over the years, but also one who can function remarkably under pressure.

Men seem almost universally to want a sense of function, that is, a feeling that their existence makes a difference to someone, living or unborn, close and immediate or generalized.

And there is one other point in the Poetics that invites moral evaluation: Aristotle's notion that the distinctive function of tragedy is to purge one's emotions by arousing pity and fear.

It is possible that international organization will ultimately supplant the multi-state system, but its proper function for the immediate future is to reform and supplement that system in order to render pluralism more compatible with an interdependent world.

A primary function is the operation of a Government Bid Center, which receives bids daily from the Federal Government's principal purchasing agencies.

The education function of the Institute is carried on by the staff in the departments of pathology and its consultants.

The responsibility for taking the initiative in generating ideas is that of every officer in the Department who has a policy function, regardless of rank.

This function is staffed by engineers chosen for their technical competence and who have the title, member of the technical staff.

If Af is the change per unit volume in Gibbs function caused by the shear field at constant P and T, and **yr is the density of the fluid, then the total potential energy of the system above the reference height is Af.

This is interesting for it combines both the thermodynamic concept of a minimum Gibbs function for equilibrium and minimum mechanical potential energy for equilibrium.

The concept of the strain energy as a Gibbs function difference Af and exerting a force normal to the shearing face is compatible with the information obtained from optical birefringence studies of fluids undergoing shear.

A proton magnetic resonance study of polycrystalline Af as a function of magnetic field and temperature is presented.

Within certain wide limits anatomy dictates function and, if one is permitted to speculate, potential pathology should be included in this statement as well.

When each number of successes X is paired with its probability of occurrence Af, the set of pairs Af, is a probability function called a binomial distribution.

The function f{t} defined in this way is multi-valued.

In some neighborhood in the f-plane of any ordinary point of the graph, the function f is a single-valued, continuous function.

The number of ordinary values of the function f{t} at T will be called its multiplicity at T.

In classical times, his strong function in popular religion was to keep away evil, and was therefore called " apotropaios " ( αποτρέπω: to divert ) and " alexikakos " ( αλέξω-κακό: defend, throw away the evil ).

Because of this, each of the infinitely many antiderivatives of a given function f is sometimes called the " general integral " or " indefinite integral " of f and is written using the integral symbol with no bounds:

Of the various two-argument versions, the one developed by Péter and Robinson ( called " the " Ackermann function by some authors ) is defined for nonnegative integers m and n as follows:

In a category with exponentials, using the isomorphism ( in computer science, this is called currying ), the Ackermann function may be defined via primitive recursion over higher-order functionals as follows:

( In computer science, this identification between a function from X × Y to Z and a function from X to Z < sup > Y </ sup > is called Currying.

If f is not a function, but is instead a partial function, it is called a partial operation.

In chemistry, physics, and mathematics, the Boltzmann distribution ( also called the Gibbs Distribution ) is a certain distribution function or probability measure for the distribution of the states of a system.

The bilinear transform is a special case of a conformal mapping ( namely, the Möbius transformation ), often used to convert a transfer function of a linear, time-invariant ( LTI ) filter in the continuous-time domain ( often called an analog filter ) to a transfer function of a linear, shift-invariant filter in the discrete-time domain ( often called a digital filter although there are analog filters constructed with switched capacitors that are discrete-time filters ).

Swiss physicist Felix Bloch provided a wave function solution to the Schrödinger equation with a periodic potential, called the Bloch wave.

If we take the simple valence bond structure and mix in all possible covalent and ionic structures arising from a particular set of atomic orbitals, we reach what is called the full configuration interaction wave function.

Microscopically, a single crystal has atoms in a near-perfect Periodic function | periodic arrangement ; a polycrystal is composed of many microscopic crystals ( called " crystallite s " or " grains "); and an amorphous solid ( such as glass ) has no periodic arrangement even microscopically.

Each isomer is a local minimum on the energy surface ( called the potential energy surface ) created from the total energy ( i. e., the electronic energy, plus the repulsion energy between the nuclei ) as a function of the coordinates of all the nuclei.

As the basis set size is increased, the energy and wave function tend towards a limit called the Hartree – Fock limit.