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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Identities, inequalities and congruences for odd ranks and k-marked odd Durfee symbols
奇数秩 k标记 奇数杜菲符号 恒等式 不等式 全等
2023/4/23
In 2007, Andrews introduced the odd rank of odd Durfee symbols. Let N^0 (m,n) denote the number of odd Durfee symbols of n with odd rank m, and N^0 (r,m;n) be the number of odd Durfee symbols of n wit...
Identity-Based Encryption from e-th Power Residue Symbols
identity-based encryption ee-th power residue symbol the general reciprocity law on function fields
2019/5/27
This paper generalizes the notable Galbrath's test by introducing the general reciprocity law on function fields. With the help of the extended Galbrath's test, we show the scheme of Boneh, LaVigne an...
Symbols versus Models
symbol model scientific representation reference denotation conventional epistemic pragmatic
2016/6/14
In this paper I argue against a deflationist view that as representational vehicles symbols and models do their jobs in essentially the same way. I argue that symbols are conventional vehicles whose c...
Domestic animals as symbols and attributes in Christian iconography: some examples from Croatian sacral art
history of veterinary medicine religion veterinary in art
2015/1/20
The aim of this paper was to register the domestic animals appearing in the iconography of Christian saints and to explain their association. The source of knowledge was literature dealing with hagiog...
Generation of Symbols in Computer-Aided Map Production
Generation of Symbols Computer-Aided Map Production
2015/1/4
Generation of Symbols in Computer-Aided Map Production.
Efficient Cryptosystems From $2^k$-th Power Residue Symbols
quadratic residuosity Goldwasser-Micali cryptosystem
2014/3/11
Goldwasser and Micali (1984) highlighted the importance of randomizing the plaintext for public-key encryption and introduced the notion of semantic security. They also realized a cryptosystem meeting...
Mennicke symbols, K-cohomology and a Bass-Kubota theorem
Mennicke symbols K-cohomology Bass-Kubota theorem
2011/8/25
Abstract: If A is a smooth algebra of dimension d (greater or equal to 2) over a perfect field k of characteristic different from 2, then we show that the universal Mennicke symbol of length d+1 is is...
Towards Transformation: The Power of Phonetic Symbols Embedded in the Multimedia Learning Management System
Phonetic symbols Pronunciation Multimedia Learning Management System Non-native English speaking
2011/6/24
The conventional way of using letter-to-sound approach to acquire English pronunciation competence is limited to
simple and regular English words in elementary level. This limitation signifies the po...
On lower eigenvalue estimates for Toeplitz operators with radial symbols in Bergman spaces
Bergman spaces Bargmann spaces Toeplitz operators
2011/2/21
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
Unitary equivalence to a truncated Toeplitz operator: analytic symbols
Toeplitz operator model space truncated Toeplitz operator
2011/2/24
Unlike Toeplitz operators on H2, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
Grounded Symbols in the Brain Computational Foundations for Perceptual Symbol System
Grounded Symbols Brain Computational Foundations Perceptual Symbol System
2010/11/15
We describe a mathematical models of grounded symbols in the brain. It also serves as a computational foundations for Perceptual Symbol System (PSS). This development requires new mathematical methods...
The concept of an order and its application for research of the deterministic chains of symbols
concept of an order deterministic chains of symbols
2010/11/29
The present work is dedicated to searching parameters, alternative to entropy, applicable for description of highly organized systems. The general concept has been offered, in which the system complex...
We consider three problems connected with coinvariant sub-spaces of the backward shift operator in Hardy spaces Hp:– properties of truncated Toeplitz operators;– Carleson-type embedding theorems for t...
Asymptotes in $SU(2)$ Recoupling Theory: Wigner Matrices, $3j$ Symbols, and Character Localization
SU(2) representation theory semiclassical analysis
2010/12/14
In this paper we employ a novel technique combining the Euler Maclaurin formula with the saddle point approximation method to obtain the asymptotic behavior (in the limit of large representation index...
(St. Augustine of Hippo, On Christian Doctrine, Bk.1, Ch.2)
O strange and inconceivable thing! we did not really die, we were
not really buried, we were not really crucified and raised again; but
o...