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With some exceptions regarding erroneous values, infinities, and denormalized numbers, Excel calculates in double-precision floating-point format from the IEEE 754 specification [ 1] (besides numbers, Excel uses a few other data types [ 2] ). Although Excel allows display of up to 30 decimal places, its precision for any specific number is no ...
Solver. A solver is a piece of mathematical software, possibly in the form of a stand-alone computer program or as a software library, that 'solves' a mathematical problem. A solver takes problem descriptions in some sort of generic form and calculates their solution. In a solver, the emphasis is on creating a program or library that can easily ...
Quadratic programming. Quadratic programming ( QP) is the process of solving certain mathematical optimization problems involving quadratic functions. Specifically, one seeks to optimize (minimize or maximize) a multivariate quadratic function subject to linear constraints on the variables. Quadratic programming is a type of nonlinear programming .
Use of a user-defined function sq(x) in Microsoft Excel. The named variables x & y are identified in the Name Manager. The function sq is introduced using the Visual Basic editor supplied with Excel. Subroutine in Excel calculates the square of named column variable x read from the spreadsheet, and writes it into the named column variable y.
The Lambert W function is used to solve equations in which the unknown quantity occurs both in the base and in the exponent, or both inside and outside of a logarithm. The strategy is to convert such an equation into one of the form ze z = w and then to solve for z using the W function. For example, the equation = +
The use of optimisation software requires that the function f is defined in a suitable programming language and connected at compilation or run time to the optimisation software. The optimisation software will deliver input values in A , the software module realizing f will deliver the computed value f ( x ) and, in some cases, additional ...
The iteration capability in Excel can be used to find solutions to the Colebrook equation to an accuracy of 15 significant figures. [3] [4] Some of the "successive approximation" schemes used in dynamic programming to solve Bellman's functional equation are based on fixed-point iterations in the space of the return function. [5] [6]
In statistics, the Q-function is the tail distribution function of the standard normal distribution. [ 1][ 2] In other words, is the probability that a normal (Gaussian) random variable will obtain a value larger than standard deviations. Equivalently, is the probability that a standard normal random variable takes a value larger than .