An array is stored so that the position of each element can be computed from its index tuple by a mathematical formula.

The same number however occurs in many other mathematical contexts, where it is denoted by ( often read as " n choose k "); notably it occurs as coefficient in the binomial formula, hence its name binomial coefficient.

* Hanging With Galileo – mathematical derivation of formula for suspended and free-hanging chains ; interactive graphical demo of parabolic versus hyperbolic suspensions.

The BSA is usually calculated with a mathematical formula or a nomogram, using a patient's weight and height, rather than by direct measurement.

Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the deep relationship between the trigonometric functions and the complex exponential function.

In this way we get a proof of the Euler – Maclaurin summation formula by mathematical induction, in which the induction step relies on integration by parts and on the identities for periodic Bernoulli functions.

He showed his formula to the mathematician Atle Selberg who said it looked like something in mathematical physics and he should show it to Dyson, which he did.

Frets are metal strips ( usually nickel alloy or stainless steel ) embedded along the fretboard and located at exact points that divide the scale length in accordance with a specific mathematical formula.

Kirchhoff's diffraction formula provides a rigorous mathematical foundation for diffraction, based on the wave equation.

It is generally easier to remember the reflective property of a parabola than its mathematical formula.

" In 1931, Ernest W. Brown asserted, using a mathematical formula, that the observed irregularities in the orbit of Uranus could not be due to the gravitational effect of a more distant planet, and thus that Lowell's supposed prediction was " purely accidental.

The items may be stored individually as records in a database ; or may be elements of a search space defined by a mathematical formula or procedure, such as the roots of an equation with integer variables ; or a combination of the two, such as the Hamiltonian circuits of a graph.

Their maneuvers and the results of their battles were calculated via a complex mathematical formula, with scale distances marked off with tape measures.

Huygens was the first to derive the formula for the period of an ideal mathematical pendulum ( with massless rod or cord and length much longer than it's swing ), in modern notation:

* Examples of the mathematical formula for Murphy's Law

These are generally adverbs such as " very ", or " somewhat ", which modify the meaning of a set using a mathematical formula.

* Sentence ( mathematical logic ), a formula with no free variables

* " Undecidable " is sometimes used as a synonym of " independent ", where a formula in mathematical logic is independent of a logical theory if neither that formula nor its negation can be proved within the theory

On paper there must be some neat mathematical formula for arriving at this ; in life, none.

* Woodbury matrix identity, a mathematical formula

In Gottschalk v. Benson ( 1972 ), the United States Supreme Court ruled that a patent for a process should not be allowed if it would " wholly pre-empt the mathematical formula and in practical effect would be a patent on the algorithm itself ", adding that " it is said that the decision precludes a patent for any program servicing a computer.

" In 1981, the Supreme Court stated that " a claim drawn to subject matter otherwise statutory does not become nonstatutory simply because it uses a mathematical formula, computer program, or digital computer " and a claim is patentable if it contains " a mathematical formula implements or applies the formula in a structure or process which, when considered as a whole, is performing a function which the patent laws were designed to protect ".

The equation is used for the mathematical process of solving the problem.

However, it is essential that the various mathematical symbols used in the equations be understood so that the mathematical processes can be done properly and in their correct order.

We devote a chapter to the binomial distribution not only because it is a mathematical model for an enormous variety of real life phenomena, but also because it has important properties that recur in many other probability models.

It has become painfully clear that the very attempt to make the language of social research free of values by erecting mathematical and physical models, is itself a conditioned response to a world which pays a premium price for technological manipulation.

A mathematical block diagram for the leveling system is shown in Fig. 7-2.

So, too, is the mathematical competence of a college graduate who has majored in mathematics.

The importance of this 5 can largely be explained by the natural mathematical properties of the middle number and its special relationship to all the rest of the numbers -- quite apart from any numerological considerations, which is to say, any symbolic meaning arbitrarily assigned to it.

it is also their mathematical mean, since it is equal to half the sum of every opposing pair, all of which equal 10.

With the Prior Analytics, Aristotle is credited with the earliest study of formal logic, and his conception of it was the dominant form of Western logic until 19th century advances in mathematical logic.

The study of altruism was the initial impetus behind George R. Price's development of the Price equation, which is a mathematical equation used to study genetic evolution.

The working principle of a yupana is unknown, but in 2001 an explanation of the mathematical basis of these instruments was proposed by Italian mathematician Nicolino De Pasquale.

The abacus teaches mathematical skills that can never be replaced with talking calculators and is an important learning tool for blind students.

One motivation for this use is that a number of generally accepted mathematical results, such as Tychonoff's theorem, require the axiom of choice for their proofs.

However, that particular case is a theorem of Zermelo – Fraenkel set theory without the axiom of choice ( ZF ); it is easily proved by mathematical induction.

The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

In the context of abstract algebra, for example, a mathematical object is an algebraic structure such as a group, ring, or vector space.

In mathematical notation, this is:

An atomic orbital is a mathematical function that describes the wave-like behavior of either one electron or a pair of electrons in an atom.

Acoustic theory is the field relating to mathematical description of sound waves.

The mathematical equation for an ideal gas undergoing a reversible ( i. e., no entropy generation ) adiabatic process is