Further generalizations of some Hecke-type identities

2021 ◽  
pp. 1-27
Author(s):  
Helen W. J. Zhang
Keyword(s):  
Transformation Formula ◽  
Partition Functions ◽  
General Transformation ◽  
Type Series ◽  
New Formula

Since the study by Jacobi and Hecke, Hecke-type identities have received a lot of attention. In this paper, we obtain a general transformation formula for [Formula: see text]-series. Based on this formula, we derive a new [Formula: see text]-formula in this paper, which clearly includes infinitely many [Formula: see text]-identities. Other identities of Andrews and Liu and new identities for Hecke-type series are also discussed. As applications, we utilize some of these Hecke-type identities to establish families of inequalities for several partition functions.

scholarly journals A post-structuralist revised Weil–Lévi-Strauss transformation formula for conceptual value-fields

2018 ◽  
Vol 46 (2/3) ◽  
pp. 255-281 ◽  
Author(s):  
James B. Harrod
Keyword(s):  
Logic Model ◽  
Comparative Religion ◽  
Cultural Value ◽  
Transformation Formula ◽  
General Transformation ◽  
Cultural Space ◽  
Literature And Philosophy

The structuralist André-Weil–Claude-Lévi-Strauss transformation formula (CF), initially applied to kinship systems, mythology, ritual, artistic design and architecture, was rightfully criticized for its rationalism and tendency to reduce complex transformations to analogical structures. I present a revised non-mathematical revision of the CF, a general transformation formula (rCF) applicable to networks of complementary semantic binaries in conceptual value-fields of culture, including comparative religion and mythology, ritual, art, literature and philosophy. The rCF is a rule-guided formula for combinatorial conceptualizing in non-representational, presentational mythopoetics and other cultural symbolizations. I consider poststructuralist category-theoretic and algebraic mathematical interpretations of the CF as themselves only mathematical analogies, which serve to stimulate further revision of the logic model of the rCF. The rCF can be used in hypothesis-making to advance understanding of the evolution and prehistory of human symbolic behaviour in cultural space, philosophical ontologies and categories, definitions and concepts in art, religion, psychotherapy, and other cultural-value forms.

A new formula for using the audiogram to predict hearing loss for speech. (Rep. No. 273).

1956 ◽  
Author(s):  
J. Donald Harris ◽  
Henry L. Haines ◽  
Cecil K. Myers
Keyword(s):  
Hearing Loss ◽  
New Formula

Macrosomia – a new formula for optimized fetal weight estimation

2008 ◽  
Vol 68 (S 01) ◽  
Author(s):  
NC Hart ◽  
J Siemer ◽  
B Meurer ◽  
TW Goecke ◽  
RL Schild
Keyword(s):  
Fetal Weight ◽  
Weight Estimation ◽  
Fetal Weight Estimation ◽  
New Formula

Generalized Kantorovich sampling type series on hypergroups

2018 ◽  
Vol 48 (1) ◽  
pp. 117-127
Author(s):  
Seyyed Mohammad Tabatabaie ◽  
A. Sathish Kumar ◽  
Mahmood Pourgholamhossein
Keyword(s):  
Type Series

First Records of Bufo luchunnicus (Yang et Rao, 2008) and Amolops wenshanensis Yuan, Jin, Li, Stuart et Wu, 2018 (Anura: Bufonidae, Ranidae) from Vietnam

2020 ◽  
Vol 27 (2) ◽  
pp. 81-86
Author(s):  
Cuong The Pham ◽  
Minh Duc Le ◽  
Chung Van Hoang ◽  
Anh Van Pham ◽  
Thomas Ziegler ◽  
...  
Keyword(s):  
Natural History ◽  
Genetic Divergence ◽  
Morphological Data ◽  
Type Series ◽  
Lao Cai ◽  
First Time ◽  
Nd2 Gene ◽  
Quang Ninh

We record two species of amphibians for the first time from Vietnam: Bufo luchunnicus from Lao Cai and Son La provinces and Amolops wenshanensis from Quang Ninh Province. Morphologically, the Vietnamese representatives of B. luchunnicus resemble the type series from China. The specimen of A. wenshanensis from Vietnam slightly differs from the type series from China by having a smaller size (SVL 33.2 mm vs. 35.7 – 39.9 mm in males) and the presence of distinct transverse bands on the dorsal surfaces of limbs. Genetic divergence between the sequence of the Vietnamese specimen and those of A. wenshanensis from China available from GenBank is 1.2 – 1.6% (ND2 gene). In addition, morphological data and natural history notes of aforementioned species are provided from Vietnam.

Sign in / Sign up

Export Citation Format

Share Document