If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero.

The formula was derived by Agner Krarup Erlang and is not limited to telephone networks, since it describes a probability in a queuing system ( albeit a special case with a number of servers but no buffer spaces for incoming calls to wait for a free server ).

It is easy graphically to interpolate the factorial function to non-integer values, but is there a formula that describes the resulting curve?

A plot of the first few factorials makes clear that such a curve can be drawn, but it would be preferable to have a formula that precisely describes the curve, in which the number of operations does not depend on the size of n. The simple formula for the factorial, n < nowiki >!</ nowiki > = 1 × 2 × … × n, cannot be used directly for fractional values of n since it is only valid when n is a natural number ( i. e., a positive integer ).

Open-wheel car, formula car, or often single-seater car in British English, describes cars with the wheels outside the car's main body and, in most cases, one seat.

The formula for the Ricci flow is an imitation of the heat equation which describes the way heat flows in a solid.

The regression formula, which describes this linear acceleration before the embryo reaches 25 mm in crown-rump length, or 9. 2 LMP weeks, is: the Age in days

From these assumptions Erlang developed the Erlang-B formula which describes the probability of congestion in a circuit group.

In 1830, Carl Friedrich Gauss, the German mathematician, unified the work of these two scientists to derive the Young – Laplace equation, the formula that describes the capillary pressure difference sustained across the interface between two static fluids.

The Whittaker – Shannon interpolation formula describes how to use a perfect low-pass filter to reconstruct a continuous signal from a sampled digital signal.

In computing, a formula typically describes a calculation, such as addition, to be performed on one or more variables.

* Format and Collation / Pagination Statement-a conventional, symbolic formula that describes the book block in terms of sheets, folds, quires, signatures, and pages

In the aforementioned book, Craig presents a formula that describes how the probability of a historical event depends on the number of primary witnesses, on the chain of transmission through secondary witnesses, on the elapsed time and on the spatial distance.

Hooke's law can be derived from this formula, which describes the stiffness of an ideal spring:

An ellipsoidal model describes only the ellipsoid's geometry and a normal gravity field formula to go with it.

* Schedule 3 describes the procedure for the election of the President by the National Assembly and the election of presiding officers by legislative bodies, as well as the formula whereby seats in the National Council of Provinces are to be allocated to political parties.

* July 5-Isaac Newton's Principia ( full title Philosophiae Naturalis Principia Mathematica ) is published, in which Newton describes his theory of universal gravitation, explains the laws of mechanics, gives a formula for the speed of sound and demonstrates that Earth is an oblate spheroid.

In mathematics, the Riemann – Hurwitz formula, named after Bernhard Riemann and Adolf Hurwitz, describes the relationship of the Euler characteristics of two surfaces when one is a ramified covering of the other.

The regression formula, which describes this acceleration before the embryo reaches 25 mm in crown-rump length, or 9. 2 LMP weeks, is: the Age in days = EHR ( 0. 3 )+ 6.

Homer's mention of potnia theron is thought to refer to Artemis and Walter Burkert describes this mention as " a well established formula ".

" He also describes their sound as " a winning formula of rambunctious, rocked-up honky tonk with punchy, danceable beats with smooth, pop-tinged ballads.

The following formula indicates that sectional curvature describes the curvature tensor completely:

More accurately, a single formula that describes the titration of a weak acid with a strong base from start to finish is given below:

The propositional satisfiability problem ( PSAT ), which decides whether a given propositional formula is satisfiable, is of central importance in various areas of computer science, including theoretical computer science, algorithmics, artificial intelligence, hardware design, electronic design automation, and verification.

The Pope derives his pontificate from being Bishop of Rome but is not required to live there ; according to the Latin formula ubi Papa, ibi Curia, wherever the Pope resides is the central government of the Church, provided that the pope is Bishop of Rome.

The New Testament repeatedly gives Jews priority, as in Jesus ' expression of his central mission as being to the Jews rather than Gentiles and in Paul's formula " first for the Jew, then for the Gentile.

For example, by using the above central difference formula for and and applying a central difference formula for the derivative of at x, we obtain the central difference approximation of the second derivative of f:

Melanchthon made the distinction between law and gospel the central formula for Lutheran evangelical insight.

In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis.

This formula means: on each side of the radula there are 3 marginal teeth, 1 dominant lateral tooth, 2 lateral teeth, and one central tooth.

The central character, Tom Chance, was a guy who was plagued by coincidence that was the basic formula of the series.

Under this formula, only two portfolios — Ministry of Foreign Affairs and Defence — would be retained by the central government.

This arccosine formula above can have large rounding errors if the distance is small ( if the two points are a kilometer apart the cosine of the central angle comes out 0. 99999999 ).

It uses a curve formula derived by assuming that a tangent to any point on the horn's inner curve will reach the central axis of the horn with a line segment of set length.

* is central venous pressure and usually small enough to be neglected in this formula.

The dakini is so central to the requirements for a practitioner to attain full enlightenment as a Buddha that she appears in a tantric formulation of the Buddhist Three Jewels refuge formula known as the Three Roots.

The central problem of general relativity is to solve the famous Einstein field equations for a given mass distribution and find the distance formula that applies in that particular case.

Risk-weighted assets are the total of all assets held by the bank weighted by credit risk according to a formula determined by the Regulator ( usually the country's central bank ).

Revised versions of the formula have been used since then to determine the allocation of central assistance for state plans.

Besides, the tendency of applying a formula of this sort to history is to assume that the elements are developed in a certain regular or necessary order, whereas this may not at all be the case ; but we may find at any epoch the whole mixed, either crossing or co-operative, as in the consciousness of the individual himself.

On this, Propst commented " One of the regrettable conditions of present day offices is the tendency to provide a formula kind of sameness for everyone.

Civilization is a conditioned mediate tendency to perfection, to which religion is the final completion if carried out ; it is the end of the second cycle expressed by the second formula, the Ens redeems existences.

In his reply Darwin said that he had to use this shorthand to save incessantly having to expand it into a formula such as " the tendency to the preservation ( owing to the severe struggle for life to which all organic beings at some time or generation are exposed ) of any the slightest variation in any part, which is of the slightest use or favourable to the life of the individual which has thus varied ; together with the tendency to its inheritance ".