Results 231 to 240 of about 1,064 (264)
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Canadian Mathematical Bulletin, 1973
An interesting problem is to discuss the solutions of the congruences in n variables (x)=(xl,…,xn),(1 ...
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An interesting problem is to discuss the solutions of the congruences in n variables (x)=(xl,…,xn),(1 ...
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Psychotherapy, 2011
Congruence or genuineness is a relational quality that has been highly prized throughout the history of psychotherapy, but of diminished research interest in recent years. In this article, we define and provide examples of this attribute of the therapy relationship and present an original meta-analytic review of the empirical literature showing its ...
Gregory G, Kolden +3 more
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Congruence or genuineness is a relational quality that has been highly prized throughout the history of psychotherapy, but of diminished research interest in recent years. In this article, we define and provide examples of this attribute of the therapy relationship and present an original meta-analytic review of the empirical literature showing its ...
Gregory G, Kolden +3 more
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Congruences on *-Regular Semigroups
Periodica Mathematica Hungarica, 2002By a *-regular semigroup \(S\) the authors mean a semigroup with involution * admitting a Moore-Penrose inverse; that is, for each \(a\in S\) there exists a (necessarily unique) solution \(x\) to the equations \(axa=a\), \(xax=x\), \((ax)^*=ax\), \((xa)^*=xa\) which is denoted by \(x=a^+\).
Crvenković, Siniša, Dolinka, Igor
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Bull. EATCS, 1990
We present a proof of a theorem to be found in \textit{H. Ehrig} and \textit{B. Mahr} [Fundamentals of algebraic specifications 1. Berlin etc.: Springer- Verlag, 321 p. (1985; Zbl 0557.68013)]. The theorem states that a relation constructed from a given function is a congruence relation iff that function is a homomorphism: we go on to generalise this ...
Backhouse, R.C., Malcolm, G.R.
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We present a proof of a theorem to be found in \textit{H. Ehrig} and \textit{B. Mahr} [Fundamentals of algebraic specifications 1. Berlin etc.: Springer- Verlag, 321 p. (1985; Zbl 0557.68013)]. The theorem states that a relation constructed from a given function is a congruence relation iff that function is a homomorphism: we go on to generalise this ...
Backhouse, R.C., Malcolm, G.R.
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Congruence join semidistributivity is equivalent to a congruence identity
Algebra Universalis, 2001A lattice is join semidistributive if it satisfies the implication \[ \alpha \vee \beta = \alpha \vee \gamma \Rightarrow \alpha \vee \beta = \alpha \vee (\beta \wedge \gamma ). \] For \(\alpha ,\beta ,\gamma \in \text{Con}{\mathcal A}\) define recursively \(\beta ^0 =\beta , \, \gamma ^0 =\gamma , \,\beta ^{n+1} =\beta \wedge (\alpha \vee \gamma ^n), \,
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NOTES ON GLAISHER'S CONGRUENCES
Chinese Annals of Mathematics, 2000The author proves congruences modulo \(p^2\) and \(p^3\) for the sums \(\sum_{j=1}^{p-1} (np+j)^{-r}\). These generalize results found by \textit{J. W. L. Glaisher} [Q. J. Pure Appl. Math. 31, 321-353 (1900; JFM 31.0185.01)]\ for the case \(n = 0\). The proof uses a \(p\)-adic expansion due to \textit{L. C. Washington} [J. Number Theory 69, 50-61 (1998;
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Variations of Andrews-Beck type congruences
Journal of Mathematical Analysis and Applications, 2021Song Heng Chan +2 more
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Congruences modulo 9 and 27 for overpartitions
Ramanujan Journal, 2015Ernest X W Xia, Xia Ernest X W
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