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No strength in numbers(图)
numbers No strength
2014/3/21
Urban legislators have long lamented that they do not get their fair share of bills passed in state governments, often blaming rural and suburban interests for blocking their efforts. Now, a new study...
Mathematician combines love for numbers and passion for sea ice to forecast melting(图)
numbers sea ice
2014/3/17
New mathematical methods can be applied broadly to climate, medicine, aircraft design and more
People don't usually think of mathematics as an occupation that requires survival skills, but they might...
The Possibility of TBC1D21 as a Candidate Gene for Teat Numbers in Pigs
QTL SNP SSC7 TBC1D21 Teat Number Pig
2016/5/12
Based on a quantitative traits locus (QTL) study using a F2 intercross between Landrace and Korean native pigs, a significant QTL affecting teat numbers in SSC7 was identified. The strong positional c...
FORMAL PSEUDODIFFERENTIAL OPERATORS AND WITTEN’S r-SPIN NUMBERS
FORMAL PSEUDODIFFERENTIAL OPERATORS WITTEN’S r-SPIN NUMBERS
2018/4/19
We derive an effective recursion for Witten’s r-spin intersection numbers, using Witten’s conjecture relating r-spin numbers to the Gel’fand-Dikii hierarchy (Theorem 4.1). Consequences include closed-...
An integer $n$ is said to be \textit{arithmetic} if the arithmetic mean of its divisors is an integer. In this paper, using properties of the factorization of values of cyclotomic polynomials, we char...
Estimates for approximation numbers of some classes of composition operators on the Hardy space
approximation numbers Blaschke product composition operator cusp map Hardy space modulus of continuity Schatten classes
2012/6/21
We give estimates for the approximation numbers of composition operators on $H^2$, in terms of some modulus of continuity. For symbols whose image is contained in a polygon, we get that these approxim...
Unknotting numbers and triple point cancelling numbers of torus-covering knots
Surface knot 2-dimensional braid quandle cocycle invariant unknotting number triple point cancelling number
2012/6/21
It is known that any surface knot can be transformed to an unknotted surface knot or a surface knot which has a diagram with no triple points by a finite number of 1-handle additions. The minimum numb...
Overpseudoprimes, and Mersenne and Fermat numbers as primover numbers
Mersenne numbers cyclotomic cosets of 2 modulo n Poulet pseudoprime super-Poulet pseudoprime overpseudoprime
2012/6/19
We introduce a new class of pseudoprimes-so called "overpseudoprimes to base $b$", which is a subclass of strong pseudoprimes to base $b$. Denoting via $|b|_n$ the multiplicative order of $b$ modulo $...
Polytope numbers for a polytope are a sequence of nonnegative integers that are defined by the facial information of a polytope. Every polygon is triangulable and a higher dimensional analogue of this...
A Cesaro Average of Hardy-Littlewood numbers
Goldbach-type theorems Hardy-Littlewood numbers Laplace transforms Cesaro averages
2012/6/14
Let $\Lambda$ be the von Mangoldt function and (r_{\textit{HL}}(n) = \sum_{m_1 + m_2^2 = n} \Lambda(m_1),) be the counting function for the Hardy-Littlewood numbers. Let $N$ be a sufficiently large in...
A Cesaro Average of Goldbach numbers
Goldbach-type theorems Laplace transforms Cesaro averages
2012/6/14
Let $\Lambda$ be the von Mangoldt function and (r_G(n) = \sum_{m_1 + m_2 = n} \Lambda(m_1) \Lambda(m_2)) be the counting function for the Goldbach numbers. Let $N \geq 2$ be an integer. We prove that ...
Cellular Automata Rules and Linear Numbers
Cellular Automata linear and non-linear rules linear and non-linear numbers
2012/4/27
In this paper, linear Cellular Automta (CA) rules are recursively generated using a binary tree rooted at "0". Some mathematical results on linear as well as non-linear CA rules are derived. Integers ...
A determinant of generalized Fibonacci numbers
generalized Fibonacci numbers Cassini’s identity determinant evaluation
2012/4/18
We evaluate a determinant of generalized Fibonacci numbers, thus providing a common generalization of several determinant evaluation results that have previously appeared in the literature, all of the...
Covering Numbers for Convex Functions
Covering Numbers Convex Functions Information Theory
2012/4/17
In this paper we study the covering numbers of the space of convex and uniformly bounded functions in multi-dimension. We find optimal upper and lower bounds for the $\epsilon$-covering number of $\C(...
Brauer's generalized decomposition numbers and universal deformation rings
Universal deformation rings Brauer’s generalized decomposition numbers tame blocks dihedral defect groups semidihedral defect groups
2012/4/17
We study the problem of lifting to local rings certain mod 2 representations V of finite groups G which belong to 2-modular tame blocks B of G having at least two isomorphism classes of simple modules...