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This
basis is de ned as being dual to the standard intertwining operators. He remarked
(p.402) that it was an unsolved and apparently dicult problem to compute this
basis explicitly. For his appli...
A General Minimum Lower-Order Confounding Criterion for Two-Level Regular Designs
Clear effects criterion Estimation ability
2015/3/18
Based on the hierarchical ordering principle of factorial effects in experimental
design, we propose an aliased effect-number pattern (AENP) as a criterion to judge
a two-level regular design; such ...
MODIFIED SECOND ORDER SLOPE ROTATABLE DESIGNS USING BIBD
Response surface designs modified slope rotatable central composite designs
2015/3/18
In this paper, a new method of modified second order slope rotatable designs
(SOSRD) using balanced incomplete block designs (BIBD) for 4≤v≤16 is presented. In
this method the number of design point...
A universal first order formula defining the ring of integers in a number field
universal first order formula defining ring integers number field
2012/3/1
We show that the complement of the ring of integers in a number field K is Diophantine. This means the set of ring of integers in K can be written as {t in K | for all x_1, ..., x_N in K, f(t,x_1, ......
The alpha-calculus-cum-alpha-analysis of r-th order derivative of zeta(s,alpha)
Hurwitz zeta function Bernoulli polynomials /numbers Number Theory
2011/9/14
Abstract: For the higher order derivative(with respect to the first variable) of Hurwitz zeta function,we discuss as a function of the second variable,the location and the nature of its singularities ...
Higher-order Fourier analysis of $\mathbb{F}_p^n$ and the complexity of systems of linear forms
Higher-order Fourier analysis linear forms
2010/11/24
Consider a subset $A$ of $\mathbb{F}_p^n$ and a decomposition of its indicator function as the sum of two bounded functions $1_A=f_1+f_2$. For every family of linear forms, we find the smallest degre...