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The Essbase Add-In is a standard plugin to Microsoft Excel and creates an additional menu that can be used to connect to Essbase databases, retrieve or write data, and navigate the cube's dimensions ("Zoom in", "Pivot", etc.). [8]
This means that only one cube root needs to be computed, and leads to the second formula given in § Cardano's formula. The other roots of the equation can be obtained by changing of cube root, or, equivalently, by multiplying the cube root by each of the two primitive cube roots of unity , which are − 1 ± − 3 2 . {\displaystyle {\frac {-1 ...
The MultiDimensional eXpressions (MDX) language provides a specialized syntax for querying and manipulating the multidimensional data stored in OLAP cubes. [1] While it is possible to translate some of these into traditional SQL, it would frequently require the synthesis of clumsy SQL expressions even for very simple MDX expressions.
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
The two formulas were described by the Irish monk Dicuil in about 816 in his Computus. [5] An English translation of Dicuil's account is available. [6] Occasionally it is necessary to compute large triangular numbers where the standard formula t = n*(n+1)/2 would suffer integer overflow before the final division by 2.
Klee–Minty cube — perturbed (hyper)cube; simplex method has exponential complexity on such a domain; Criss-cross algorithm — similar to the simplex algorithm; Big M method — variation of simplex algorithm for problems with both "less than" and "greater than" constraints; Interior point method. Ellipsoid method; Karmarkar's algorithm
Formulas for summing consecutive squares to give a cubic polynomial, whose values are the square pyramidal numbers, are given by Archimedes, who used this sum as a lemma as part of a study of the volume of a cone, [2] and by Fibonacci, as part of a more general solution to the problem of finding formulas for sums of progressions of squares. [3]
from the formula for the tangent of the difference of angles. Using s instead of r in the above formulas will give the same primitive Pythagorean triple but with a and b swapped. Note that r and s can be reconstructed from a, b, and c using r = a / (b + c) and s = b / (a + c).