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On a Hilbert-Type Integral Inequality in the Whole Plane With the Equivalent Forms
In the present paper we establish a few equivalent conditions of a Hilbert-type integral inequality with a non-homogeneous kernel in the whole plane. A few equivalent conditions of a Hilbert-type integral inequality with the homogeneous kernel in the ...
Ovidiu Bagdasar
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On the equivalence to feedforward forms
2003 European Control Conference (ECC), 2003The problem of (local) coordinates and feedback equivalence of single-input affine nonlinear systems to feedforward forms is studied and solved. The general theory is applied to linear systems, and is illustrated through a simple four dimensional example describing the dynamics of a food-chain.
Georgia Kaliora, Alessandro Astolfi
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Equivalence relations, invariants, and normal forms, II
SIAM Journal on Computing, 1984For an equivalence relation E on the words in some finite alphabet, we consider the recognition problem (decide whether two words are equivalent), the invariant problem (calculate a function constant on precisely the equivalence classes), the normal form problem (calculate a particular member of an equivalence class, given an arbitrary member) and the ...
Andreas Blass, Yuri Gurevich
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Alternate forms of the AVLT: A procedure and test of form equivalency
Archives of Clinical Neuropsychology, 1990The Rey Auditory Verbal Learning Test is frequently used in neuropsychological evaluation and research. However, its utility in the measurement of progressive change is limited by the availability of alternate and equivalent forms. Criteria were developed for word selection to generate new lists.
D M, Shapiro, D W, Harrison
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An Equivalent Form of the Prime Number Theorem
Sarajevo Journal of Mathematics, 2020A simple proof is given that $\sum\limits_{n}\frac{\mu(n) d(n)}{n}=0$ using the Prime Number Theorem. It is shown that this is equivalent to the estimate $\sum\limits_{n\leq x}\mu(n)d(n)=\circ(x)$ and to the Prime Number Theorem.
Reddy, G. Sudhaamsh Mohan +2 more
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Equivalent forms of the boston naming test
Journal of Clinical and Experimental Neuropsychology, 1986In order to develop a test of naming ability that is sensitive to changes in performance on repeated testing, but is unbiased by practice effects, the 85 items of the Boston Naming Test (BNT) were divided into two 42-item forms. Both forms were given to 15 healthy adult subjects, 24 patients with a clinical diagnosis of Alzheimer's disease, and 17 ...
F J, Huff +3 more
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On equivalent forms of Whittaker's similarity index
Journal of Theoretical Biology, 1977Abstract For two N-species assemblages A, B with specific proportionate abundances of the ith species ai, bl respectively, we consider the equality ∑ t=1 N c i = 1− 1 2 ∑ t=1 N |a i −b i |, c i = a i a i ⩽ b i b i a i > b i , 0⩽a,b,c⩽1 .
E E, Gallaher, N J, Blake
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