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The case of technology in senior secondary mathematics: Curriculum and assessment congruence
secondary mathematics Curriculum and assessment
2015/5/29
This paper outlines how curriculum and
assessment congruence considerations
have been addressed in the context
of the incorporation of computer
algebra system (CAS) technology into
Victorian...
A congruence property of the local Langlands correspondence
Simple type modular local Langlands correspondence effective local Langlands correspondence Number Theory
2011/9/2
Abstract: Let $F$ be a non-Archimedean local field of residual characteristic $p$, and $\ell$ a prime number, $\ell \neq p$. We consider the Langlands correspondence, between irreducible, $n$-dimensio...
Let {En} be the Euler numbers. In the paper we determine E2mk+b − Eb modulo 2m+7, where k,m are positive integers with m 4 and b 2 {0, 2, 4, . . . }.
Let $p$ be an odd prime. In 2008 E. Mortenson proved van Hamme's following conjecture: $$\sum_{k=0}^{(p-1)/2}(4k+1)\binom(-1/2,k)^3=(-1)^{(p-1)/2}p (mod p^3).$$ In this paper we show further that $$\s...
Congruence of RAPD and ISSR Markers for Evaluation of Genomic
Podophyllum hexandrum RAPD ISSR RAPD+ISSR Genetic Diversity
2010/3/17
Twenty eight populations of Podophyllum hexandrum Royle were selected to study genetic relationship using RAPD and ISSR markers from north-western Himalayas, Himachal Pradesh, India. Nineteen RAPD pri...
CONGRUENCE PERMUTABLE SYMMETRIC EXTENDED DE MORGAN ALGEBRAS
Congruence permutable Extended Ockham algebra Symmetric extended de Morgan algebra
2007/12/12
An algebra $A$ is said to be {\it congruence permutable} if any two congruences on it are permutable. This property has been investigated in several varieties of algebras, for example, de Morgan algeb...
On the Normalizer of the Congruence Subgroup H05(I) of the Hecke Group H5
Normalizer Congruence subgroup Hecke group
2010/2/26
Let l = 2 cos \frac{p}{5} and let H5 be the Hecke group associated to l. In this paper, the normalizers of the congruence subgroups H05(I) in PSL(2Z[l]) are studied in the case where I = (2)aI ', (2, ...