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A square root of Hurwitz numbers
Manuscripta mathematica, 2018We exhibit a generating function of spin Hurwitz numbers analogous to (disconnected) double Hurwitz numbers that is a tau function of the two-component BKP (2-BKP) hierarchy and is a square root of a tau function of the two-component KP (2-KP) hierarchy ...
Junho Lee
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The Mathematics Teacher, 1951
The subject of square root cuts across the entire range of mathematics courses, from arithmetic to the calculus, and seems to cause trouble in every course.
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The subject of square root cuts across the entire range of mathematics courses, from arithmetic to the calculus, and seems to cause trouble in every course.
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SIAM Journal on Matrix Analysis and Applications, 1991
If A is an n-square positive semidefinite Hermitian matrix of rank 1, then the Hadamard square root of A is the n-square matrix obtained by replacing each entry of A by the principal value of its square root. It is proved that if A has no zero or negative entries, then the Hadamard square root has odd rank and all odd ranks are possible.
Marvin Marcus, Markus Sandy
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If A is an n-square positive semidefinite Hermitian matrix of rank 1, then the Hadamard square root of A is the n-square matrix obtained by replacing each entry of A by the principal value of its square root. It is proved that if A has no zero or negative entries, then the Hadamard square root has odd rank and all odd ranks are possible.
Marvin Marcus, Markus Sandy
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The College Mathematics Journal, 2013
If students are presented the standard proof of irrationality of √2, can they generalize it to a proof of the irrationality of √p, p a prime if, instead of considering divisibility by p, they cling...
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If students are presented the standard proof of irrationality of √2, can they generalize it to a proof of the irrationality of √p, p a prime if, instead of considering divisibility by p, they cling...
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Review of Scientific Instruments, 1995
A new type of valve is introduced, the square-root valve, in which the valve stem radius is machined to vary as the square root of the turn number N. The open area then varies in direct proportion to the turn number, and the measured flow rate Qs(N) was found to be adequate to allow this valve to be used in an automatic feedback control system.
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A new type of valve is introduced, the square-root valve, in which the valve stem radius is machined to vary as the square root of the turn number N. The open area then varies in direct proportion to the turn number, and the measured flow rate Qs(N) was found to be adequate to allow this valve to be used in an automatic feedback control system.
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Root mean square error or mean absolute error? Use their ratio as well
Information Sciences, 2021D. Karunasingha
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The Mathematics Teacher, 1952
The slide rule is very satisfactory for finding square roots accurate to three significant digits. There are situations, however, in which a more accurate root is desired. The method given below will enable the operator to use his slide rule in combination with ordinary division or with a computing machine to find roots to 6, 8, 12 or more significant ...
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The slide rule is very satisfactory for finding square roots accurate to three significant digits. There are situations, however, in which a more accurate root is desired. The method given below will enable the operator to use his slide rule in combination with ordinary division or with a computing machine to find roots to 6, 8, 12 or more significant ...
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The Mathematical Gazette, 1980
Formulae for Σ l=1 n i k when k is a positive integer are well known, and many methods for finding them have been described. This article gives
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Formulae for Σ l=1 n i k when k is a positive integer are well known, and many methods for finding them have been described. This article gives
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The Mathematics Teacher, 1965
An interesting sequence involving recursive definition
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An interesting sequence involving recursive definition
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Minimum sample size estimation in PLS‐SEM: The inverse square root and gamma‐exponential methods
Information Systems Journal, 2018Ned Kock, Pierre Hadaya
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