منابع مشابه
Linear Regression Models with Logarithmic Transformations
Remember that we are using natural logarithms, where the base is e ≈ 2.71828. Logarithms may have other bases, for instance the decimal logarithm of base 10. (The base 10 logarithm is used in the definition of the Richter scale, for instance, measuring the intensity of earthquakes as Richter = log(intensity). This is why an earthquake of magnitude 9 is 100 times more powerful than an earthquake...
متن کاملApplication to Matrix Transformations
Given any sequence τ = (τn)n≥1 of positive real numbers and any set E of complex sequences, we write Eτ for the set of all sequences x = (xn)n≥1 such that x/a = (xn/an)n≥1 ∈ E. We define the sets Wτ = (w∞)τ and W 0 τ = (w0)τ , where w∞ is the set of all sequences such that supn (n −1∑n m=1 |xm|) < ∞, and w0 is the set of all sequences such that limn→∞ (n−1 ∑n m=1 |xm|) = 0. Then we explicitly c...
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We are going to give the example of the operator weight W satisfying operator Hunt-Muckenhoupt-Wheeden A 2 condition but which provides the unbounded martingale transform on L 2 (W). The construction relates weighted boundedness with the boundedness of \dyadic vector Hankel operators".
متن کاملLogarithmic barriers for sparse matrix cones
Algorithms are presented for evaluating gradients and Hessians of logarithmic barrier functions for two types of convex cones: the cone of positive semidefinite matrices with a given sparsity pattern, and its dual cone, the cone of sparse matrices with the same pattern that have a positive semidefinite completion. Efficient large-scale algorithms for evaluating these barriers and their derivati...
متن کاملModular transformations and Verlinde formulae for logarithmic (p+,p−)-models
The (p+, p−) singlet algebra is a vertex operator algebra that is strongly generated by a Virasoro field of central charge 1− 6(p+− p−) /p+p− and a single Virasoro primary field of conformal weight (2p+−1)(2p−−1). Here, the modular properties of the characters of the uncountably many simple modules of each singlet algebra are investigated and the results used as the input to a continuous analog...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2004
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171204303418