Results 71 to 80 of about 3,230,283 (325)
Baxter Algebras, Stirling Numbers and Partitions [PDF]
Recent developments of Baxter algebras have lead to applications to combinatorics, number theory and mathematical physics. We relate Baxter algebras to Stirling numbers of the first kind and the second kind, partitions and multinomial coefficients. This allows us to apply congruences from number theory to obtain congruences in Baxter algebras.
arxiv
Tensor Constructions of Open String Theories I: Foundations
The possible tensor constructions of open string theories are analyzed from first principles. To this end the algebraic framework of open string field theory is clarified, including the role of the homotopy associative A_\infty algebra, the odd ...
Albert+31 more
core +1 more source
Curcuminoid boron difluoride dyes containing triphenylamine units are prepared and their photophysical and electrochemical properties are investigated. These new light‐emitting dyes are used in organic light‐emitting diodes (OLEDs) emitting at 800 nm with 1% external quantum efficiency, and show low threshold amplified spontaneous emission in thin ...
Anthony D'Aléo+11 more
wiley +1 more source
FreqD‐LBM simulates the oscillatory flow at the surface of a QCM‐D resonator in the presence of structured adsorbates. It derives shifts of frequency and bandwidth (equivalent to dissipation) on different overtones. Applications include rough surfaces, adsorbed rigid particles, adsorbed viscoelastic particles, spheres floating freely above the surface,
Diethelm Johannsmann+5 more
wiley +1 more source
The bulk Hilbert space of double scaled SYK
The emergence of the bulk Hilbert space is a mysterious concept in holography. In [1], the SYK model was solved in the double scaling limit by summing chord diagrams.
Henry W. Lin
doaj +1 more source
Fermat's Last Theorem: Algebra and Number Theory [PDF]
In our work we give the examples using Fermat's Last Theorem for solving some problems from algebra and number theory.
arxiv
Conformal Current Algebra in Two Dimensions
We construct a non-chiral current algebra in two dimensions consistent with conformal invariance. We show that the conformal current algebra is realized in non-linear sigma-models on supergroup manifolds with vanishing dual Coxeter number, with or ...
A. Giveon+12 more
core +2 more sources
Increasing half‐cycles intensifies turbulence due to enhanced vortex interactions and flow separation at the diverged‐outlets. Longer wavy ducts are shown to increase flow acceleration, resulting in greater output velocities and more turbulent‐kinetic‐energy production. Wave‐period plays a crucial role in determining turbulent intensity, with amplitude
I. L. Animasaun+2 more
wiley +1 more source
An Algebraic Roadmap of Particle Theories
The SO(10) grand unified theory, the Georgi–Glashow SU(5) grand unified theory, the Pati–Salam model, the Left–Right Symmetric model, and the Standard model have been studied extensively since the 1970s. Recasting these models in a division algebraic language elucidates how they are each in fact connected.
Nichol Furey
wiley +3 more sources
Notes on the Theory of Algebraic Numbers [PDF]
A series of lecture notes on the elementary theory of algebraic numbers, using only knowledge of a first-semester graduate course in algebra (primarily groups and rings). No prerequisite knowledge of fields is required. Based primarily on the texts of E. Hecke, Lectures on the Theory of Algebraic Numbers, Springer-Verlag, 1981 (English translation by G.
arxiv