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For the technical mathematical concept of coincidence, see Coincidence point. A mathematical coincidence is said to occur when two expressions with no direct relationship show a near-equality which has no apparent theoretical explanation. For example, there is a near-equality close to the round number 1000 between powers of 2 and powers of 10 ...
Riemann hypothesis. This plot of Riemann's zeta (ζ) function (here with argument z) shows trivial zeros where ζ (z) = 0, a pole where ζ (z) = , the critical line of nontrivial zeros with Re (z) = 1/2 and slopes of absolute values. In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at ...
The constant first appeared in a 1734 paper by the Swiss mathematician Leonhard Euler, titled De Progressionibus harmonicis observationes (Eneström Index 43), where he described it as "worthy of serious consideration". [2][3] Euler initially calculated the constant's value to 6 decimal places. In 1781, he calculated it to 16 decimal places.
Interval (mathematics) The addition x + a on the number line. All numbers greater than x and less than x + a fall within that open interval. In mathematics, a real interval is the set of all real numbers lying between two fixed endpoints with no "gaps". Each endpoint is either a real number or positive or negative infinity, indicating the ...
1 / 18 0.0 5: 1 1 / 19 0. 052631578947368421: 18 1 / 20 0.05 0 1 / 21 0. 047619: 6 1 / 22 0.0 45: 2 1 / 23 0. 0434782608695652173913: 22 1 / 24 0.041 6: 1 1 / 25 0.04 0 1 / 26 0.0 384615: 6 1 / 27 0. 037: 3 1 / 28 0.03 571428: 6 1 / 29 0 ...
In binary arithmetic, division by two can be performed by a bit shift operation that shifts the number one place to the right. This is a form of strength reduction optimization. For example, 1101001 in binary (the decimal number 105), shifted one place to the right, is 110100 (the decimal number 52): the lowest order bit, a 1, is removed.
The gamma function is the unique function that simultaneously satisfies. , for all complex numbers except the non-positive integers, and, for integer n, for all complex numbers . [1] In a certain sense, the log-gamma function is the more natural form; it makes some intrinsic attributes of the function clearer.
Glossary of mathematical symbols. 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. As formulas are entirely constituted with symbols of various ...