Results 271 to 280 of about 27,278 (300)
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The functions of multiple representations
Computers & Education, 1999Multiple representations and multi-media can support learning in many diAerent ways. In this paper, it is claimed that by identifying the functions that they can serve, many of the conflicting findings arising out of the existing evaluations of multi-representational learning environments can be explained.
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Coded Computation of Multiple Functions
2023 IEEE Information Theory Workshop (ITW), 2023National Research Foundation (NRF)
Wilton Kim +2 more
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Summation of multiplicative functions
Russian Mathematical Surveys, 2002Es seien \(f_1(n)\) eine total und \(f_2(n)\) eine streng multiplikative zahlentheoretische Funktion und \(f(n)=f_1(n)f_2(n)\). \(f_2(n)\) heißt dabei streng multiplikativ, wenn \(f_2(p^a)= f_2(p)\) für jede Primzahl \(p\) und jede natürliche Zahl \(a\) ist. Es sei \(k\) eine natürliche Zahl.
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On $q$-multiplicative functions
Publicationes Mathematicae Debrecen, 2002Let \(g:{\mathbb N}_0\to{\mathbb C}\) be a \(q\)-multiplicative function with modulus \(1\), i.e.
Indlekofer, K.-H. +2 more
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The multiple functions of Numb
Experimental Cell Research, 2010Numb is an evolutionary conserved protein that plays critical roles in cell fate determination. Mammalian Numb displays a higher degree of structural complexity compared to the Drosophila homolog based on the number of encoding genes (Numb and Numb-like) and of alternative spliced isoforms.
GULINO, Alberto +2 more
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Some Multiplicative Functionals
Canadian Journal of Mathematics, 1953This note concerns itself primarily with the representation of continuous multiplicative functionals on L2 types of rings or Banach algebras to the real or complex fields where convolution is taken as the ring multiplication.
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Multiple Gamma and related functions
Applied Mathematics and Computation, 2003The authors give several new (and potentially useful) relationships between the multiple Gamma functions and other mathematical functions and constants. As by-products of some of these relationships, a classical definite integral due to Euler and other definite integrals are also considered together with closed-form evaluations of some series involving
Junesang Choi +2 more
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Approximately Multiplicative Functionals
Journal of the London Mathematical Society, 1986Let \({\mathfrak A}\) be a commutative Banach algebra with dual \({\mathfrak A}^*\). For \(\phi \in A^*\), define \({\breve \phi}\)(a,b)\(=\phi (ab)- \phi (a)\phi (b)\), and call \(\phi\delta\)-multiplicative iff \(\| {\breve \phi}\| \leq \delta\). \({\mathfrak A}\) is an algebra in which approximately multiplicative functionals are near multiplicative
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Smoothness of Multiple Refinable Functions and Multiple Wavelets
SIAM Journal on Matrix Analysis and Applications, 1999Summary: We consider the smoothness of solutions of a system of refinement equations written in the form \[ \varphi = \sum_{\alpha\in\mathbb{Z}} a(\alpha)\varphi({2 \cdot}-\alpha), \] where the vector of functions \(\varphi=(\varphi_1,\ldots,\varphi_r)^T\) is in \((L_p(\mathbb{R}))^r\) and \(a\) is a finitely supported sequence of \(r \times r ...
Rong-Qing Jia +2 more
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Multiplicity of Functions On Singular Varieties
International Journal of Mathematics, 2003Let V be a local complete intersection in a complex manifold W. For a function g on W, we set f = g|V and f′ = g|V′, where V′ denotes the non-singular part of V. For each compact connected component S of the union of the singular set of V and the critical set of f′, we define the virtual multiplicity [Formula: see text] of f at S as the residue of the
Izawa, T., Suwa, T.
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