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Some useful bounds on the size of A k and e At

Kernelization lower bounds for finding constant-size subgraphs.

Kernelization lower bounds for finding constant-size subgraphs.

... (x, k) ∈ {0, 1} ∗ × N of a parameterized prob- lem L, a kernelization for L is an algorithm that computes in polynomial time an instance (x 0 , k 0 ), called kernel, such that (i) (x, k) ∈ L ⇐⇒ (x 0 ...

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Some Useful Sources

Some Useful Sources

... ∗∗ School of Sociology and Social Policy, University of Leeds E-mail: [email protected] We have provided here an annotated list of resources, key organisations and programmes that support young fathers and ...

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Melanoma: some useful facts

Melanoma: some useful facts

... feel. Some of the feelings you may experience include shock, fear, anger, guilt, and ...that some times are more difficult than others; for example when you are first told that you have melanoma, and prior ...

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Some Useful Quicker Methods

Some Useful Quicker Methods

... × height × × height ×       E Ex xtte errn na all rra ad diiu us s   2 2     IIn ntte errn na all rra ad i d iu us s  2 2   cu cm. cu cm. (11) (11) A hollow cylindrical tube open at both ends is ...

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Study of Some Bounds on Binary Codes

Study of Some Bounds on Binary Codes

... these bounds are studied with example and various types of upper bounds are calculated for size and ...these bounds have been done and the tighter bounds for ( , ) is ...Codes, ...

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Some New Bounds for Mathieu's Series

Some New Bounds for Mathieu's Series

... NEW BOUNDS FOR MATHIEU’S SERIES ABDOLHOSSEIN HOORFAR AND FENG QI ...lower bounds for Mathieu’s series are established, which refine to a certain extent a sharp double inequality obtained by ...

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Lower bounds for some factorable matrices

Lower bounds for some factorable matrices

... Copyright © 2006 Hindawi Publishing Corporation. All rights reserved. The following conjecture was posed by Axler and Shields. Let { x n } be a monotone de- creasing sequence of nonnegative numbers, C the Ces´aro matrix ...

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SOME BOUNDS ON THE SEIDEL ENERGY OF GRAPHS

SOME BOUNDS ON THE SEIDEL ENERGY OF GRAPHS

... 2, some proved lemmas are focused. In third section, some results on upper and lower bound for Seidel incidence energy of graphs with some fixed parameters are ...sequel, some lemmas are ...

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Some Lower Bounds for Estrada Index

Some Lower Bounds for Estrada Index

... upper bounds have been established for the Estrada index, see [814]. Some other properties for the Estrada index may be found in ...present some easily computed lower bounds for the Estrada ...

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Asymptotic Bounds for the Size of Hom(A,GL_n(q))

Asymptotic Bounds for the Size of Hom(A,GL_n(q))

... j=1 n ij d ij = n subject to the additional constraint that n i1 = n ij for all 1 ≤ j ≤ e i . Presenting it in this way shows that, given the degrees d ij , we actually need to identify a subset of the eligible ...

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Some of the most useful Word shortcuts

Some of the most useful Word shortcuts

... selected some text by moving down the document, and you may suddenly realise that you want the selection to begin further up the document (or the other way round); and Word won't let you do this without ...

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On the Number of Distinct k-decks: Enumeration and Bounds

On the Number of Distinct k-decks: Enumeration and Bounds

... {k, k + 1, . . . , n}. Each vertex at level i represents a k-deck of some word of length i and we denote the vertices at level i with D k ...
On bounds involving k Appell’s hypergeometric functions

On bounds involving k Appell’s hypergeometric functions

... via k-Riemann-Liouville fractional integrals. Two new k-fractional integral identities are also ...obtain some new k-fractional bounds which involve k-Appell’s hypergeometric ...

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Exact values of girth for some graphs \(D\left({k},{q}\right)\) and upper bounds of the order of cages

Exact values of girth for some graphs \(D\left({k},{q}\right)\) and upper bounds of the order of cages

... Journal Algebra Discrete Math. that even though p ∈ P and l ∈ L may have the same coordinates they are always considered as distinct elements of V . Parenthesis and square brackets will be used to distinguish between the ...

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Bounds on the number of generalized partitions and some applications

Bounds on the number of generalized partitions and some applications

... Abstract We present bounds concerning the number of Hartmanis partitions of a finite set. An application of these inequalities improves the known asymptotic lower bound on the number of linear spaces on n points. ...

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On bounds of some dynamic information divergence measures

On bounds of some dynamic information divergence measures

... for  such that 0    1 . Given that at time t , two items have been found to be failing, equation (2) measures the disparity between their past lives. Recently, the inaccuracy measure due to (Kerridge, 1961) is also ...

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Provable Bounds for Learning Some Deep Representations

Provable Bounds for Learning Some Deep Representations

... 1. Introduction Can we provide theoretical explanation for the practical success of deep nets? Like many other ML tasks, learn- ing deep neural nets is NP-hard, and in fact seems “badly NP-hard” because of many layers of ...

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Parallel combinator reduction : some performance bounds

Parallel combinator reduction : some performance bounds

... The principal reason for the high speed of saturation parallelism is the detection of all of these concurrent sub-expressions. When parallelism is explicitly described, only some of the processes which can be ...

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Some Lower Bounds in Parameterized AC^0

Some Lower Bounds in Parameterized AC^0

... demonstrate some lower bounds for parameterized problems via parameterized classes cor- responding to the classical AC 0 ...any size ≤ n ξ (where 0 ≤ ξ < ...

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Some Upper Bounds for Relative Entropy and Applications

Some Upper Bounds for Relative Entropy and Applications

... Before we do this, let us recall some other important concepts in Information Theory. We consider mutual information, which is a measure of the amount of informa- tion that one random variable contains about ...

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