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The gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer and half-integer arguments, but no simple expressions are known for the values at rational points in general. Other fractional arguments can be approximated through efficient infinite products, infinite series ...
In binary (base-2) math, multiplication by a power of 2 is merely a register shift operation. Thus, multiplying by 2 is calculated in base-2 by an arithmetic shift . The factor (2 −1 ) is a right arithmetic shift , a (0) results in no operation (since 2 0 = 1 is the multiplicative identity element ), and a (2 1 ) results in a left arithmetic ...
This curve has total curvature 6 π, and index/turning number 3, though it only has winding number 2 about p. In mathematical study of the differential geometry of curves , the total curvature of an immersed plane curve is the integral of curvature along a curve taken with respect to arc length :
CSF/S glu = 0.6. The fractional excretion of sodium ( FENa) is the percentage of the sodium filtered by the kidney which is excreted in the urine. It is measured in terms of plasma and urine sodium, rather than by the interpretation of urinary sodium concentration alone, as urinary sodium concentrations can vary with water reabsorption.
The sum of the reciprocals of the pentatope numbers is 4 / 3 . Sylvester's sequence is an integer sequence in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are 2, 3, 7, 43, 1807 . The sum of the reciprocals of the numbers in Sylvester's sequence is 1.
Tetration is also defined recursively as. allowing for attempts to extend tetration to non-natural numbers such as real, complex, and ordinal numbers . The two inverses of tetration are called super-root and super-logarithm, analogous to the nth root and the logarithmic functions.
1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...
Expression (mathematics) In mathematics, an expression is a written arrangement of symbols following the context-dependent, syntactic conventions of mathematical notation. Symbols can denote numbers ( constants ), variables, operations, functions. Other symbols include punctuation signs and brackets (often used for grouping, that is for ...