Results 81 to 90 of about 10,381,547 (314)
The performance of algebraic flame surface density (FSD) models has been assessed for flames with nonunity Lewis number (Le) in the thin reaction zones regime, using a direct numerical simulation (DNS) database of freely propagating turbulent premixed ...
Mohit Katragadda+2 more
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A Construction of Rotated Lattices via Totally Real Subfields of the Cyclotomic Field Q(z_p)
The theory of lattices have shown to be useful in information theory and rotated lattices with high modulations diversity have been extensively studied as an alternative approach for transmission over a Rayleigh-fading channel, where the performance of ...
Antonio A. Andrade+2 more
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Efficient Enumeration of Higher Order Algebraic Structures
Algebraic structures are widely studied mathematical structures in abstract algebra. Enumerating higher order algebraic structures is a computationally intensive task due to large number of possible permutations and the presence of many symmetrically ...
Majid Ali Khan
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Distribution of complex algebraic numbers
For a region $ \subset\mathbb{C}$ denote by $ (Q; )$ the number of complex algebraic numbers in $ $ of degree $\leq n$ and naive height $\leq Q$. We show that $$ (Q; )=\frac{Q^{n+1}}{2 (n+1)}\int_ (z)\, (dz)+O\left(Q^n \right),\quad Q\to\infty, $$ where $ $ is the Lebesgue measure on the complex plane and the function $ $ will be given ...
Götze, Friedrich+2 more
openaire +3 more sources
Algorithmic algebraic number theory
Preface List of symbols 1. Basics of constructive algebraic number theory 2. The group of an equation 3. Methods from the geometry of numbers 4. Embedding of commutative orders into the maximal order 5. Units in algebraic number fields 6. The class group
M. Pohst, H. Zassenhaus
semanticscholar +1 more source
This work proposes a surface elasticity‐based nonlocal model for analyzing the vibrations of bi‐directionally graded tapered nanobeam. The results demonstrate that, in absence of surface effect, the increasing value of tapered parameter leads to stiffness‐hardening of the nanobeam. However, the consideration of surface effect changes this trend and the
Chinika Dangi, Susmita Naskar
wiley +1 more source
New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration
The closed Newton-Cotes differential methods of high algebraic order for small number of function evaluations are unstable. In this work, we propose a new closed Newton-Cotes trigonometrically fitted differential method of high algebraic order which ...
T. E. Simos
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On the approximation of algebraic numbers by algebraic integers [PDF]
In his Topics in Number Theory, vol. 2, chapter 2 (Reading, Mass., 1956) W. J. LeVeque proved an important generalisation of Roth's theorem (K. F. Roth, Mathematika 2,1955, 1—20).Let ξ be a fixed algebraic number, σ a positive constant, and K an algebraic number field of degree n.
openaire +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
Zero-dimensional families of polynomial systems
If a real world problem is modelled with a system of polynomial equations, the coefficients are in general not exact. The consequence is that small perturbations of the coefficients may lead to big changes of the solutions.
Lorenzo Robbiano, Maria-Laura Torrente
doaj