Results 51 to 60 of about 3,558,031 (100)
Controlling DNA Three‐Way Junction Conformations via Base Pairing
Small Structures, Volume 7, Issue 4, April 2026.Atomistic molecular dynamics simulations reveal how base pairing determines the Ys‐, T‐, and newly identified Ya‐shaped forms of DNA three‐way junctions, uncovering the dynamic interplay between base‐pairing and junction conformation. DNA three‐way junctions, the simplest form of branched DNA, are widely used scaffolds in nanotechnology and ...
Richard Jacobi, Leticia González
wiley +1 more source
Some Theta-Function Identities Related to Jacobi’s Triple-Product Identity
European Journal of Pure and Applied Mathematics, 2018 The main object of this paper is to present some q-identities involving some of the theta functions of Jacobi and Ramanujan. These q-identities reveal certain relationships among three of the theta-type functions which arise from the celebrated Jacobi’s triple-product identity in a remarkably simple way.
Srivastava, Hari M. +2 more
openaire +3 more sources
Analysis of Japanese and Finnish furniture design : a consideration for product identity and the relativity of industrial development and cultural context [PDF]
, 2011 In a globalized product design market, firms take national identity into consideration to survive among the competitors, because a particular identifying feature can be the decision making factor for customers to buy a particular product.
Nakatani, Akiko
core +1 more source
Gaussian sums, Dedekind sums and the Jacobi triple product identity
Kyushu Journal of Mathematics, 1995 Let \(e(x)=\exp (2\pi ix)\). The Gaussian sum identity \[ \sum^q_{r=1} e (r^2/q) = \prod^{q-2}_{\substack{ r=1\\ (r\text{ odd})}} \bigl\{e(r/q) - e(-r/ q)\bigr\} \] is deduced from the Jacobi triple product identity for the theta function \[ \vartheta (\tau,z) = \sum^\infty_{n=- \infty} e(n^2 \tau/2+nz). \]
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, 2023 Inom ramen för Triple F programmet görs en systemövergripande uppföljning som syftar till att följa upp hur Sveriges godstransportsektor närmar sig målet om att minska växthusgasutsläppen med 70 %, samt att skapa en referenspunkt som aktörer inom och ...
Mustonen, Maria, Stelling, Petra
core
Tiling proofs of Jacobi triple product and Rogers-Ramanujan identities
, 2020 We use the method of tiling to give elementary combinatorial proofs of some celebrated $q$-series identities, such as Jacobi triple product identity, Rogers-Ramanujan identities, and some identities of Rogers. We give a tiling proof of the q-binomial theorem and a tiling interpretation of the q-binomial coefficients. A new generalized $ k $-product $q$-
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Publications de l'Institut Mathematique, 2020 We establish a set of two new relationships involving R?,R? and Rm-functions, which are based on Jacobi?s famous triple-product identity. We, also provide answer for an open problem of Srivastava, Srivastava, Chaudhary and Uddin, which suggest to find an inter-relationships between R?,R? and Rm(m ?
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A simple proof of Jacobi’s triple product identity [PDF]
Proceedings of the American Mathematical Society, 1965 openaire +2 more sources
, 2020 Sverige har målsättningen att minska växthusgasutsläppen från inrikes transporter (exklusive flyg) med 70% till 2030 jämfört med 2010 samt att nå nettonollutsläpp av växthusgaser till atmosfären till 2045 (för hela ekonomin).
Vierth, Inge +3 more
core
A closed form formulation for the general term of a scaled triple power product recurrence sequence. [PDF]
, 2017 The closed form for the general term of a scaled triple power product recurrence sequence—with arbitrary initial values—is formulated for the first time, and an open problem offered.
Larcombe, Peter J., Fennessey, Eric J.
core