Results 61 to 70 of about 13,428,920 (391)
Homogeneous Beta-type functions [PDF]
Journal of Classical Analysis, 2017 All beta-type functions, which are p-homogeneous, are determined. Applying this result, we show that a beta-type function is a homogeneous mean iff it is the harmonic one. A reformulation of a result due to Heuvers in terms of a Cauchy difference and the harmonic mean is given.
Martin Himmel, Janusz Matkowski
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, 1997 We present an elegant exact formula for the gaugino $\beta$-function in a softly-broken supersymmetric gauge theory, of the form $\beta_M = {\cal O}(\beta_g/g)$, where $\beta_g$ is the gauge $\beta$ function and ${\cal O}$ is a simple differential ...
Jack, I., Jones, D. R. T.
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Concrete Solution to the Nonsingular Quartic Binary Moment Problem [PDF]
, 2014 Given real numbers $\beta \equiv \beta ^{\left( 4\right) }\colon \beta_{00}$, $\beta _{10}$, $\beta _{01}$, $\beta _{20}$, $\beta _{11}$, $ \beta _{02}$, $\beta _{30}$, $\beta _{21}$, $\beta _{12}$, $\beta _{03}$, $\beta _{40}$, $\beta _{31}$, $\beta _{22}$, $\beta _{13}$, $\beta _{04}$, with $\beta _{00} >0$, the quartic real moment problem for $\beta
arxiv +1 more source
Topological full groups of $C^*$-algebras arising from $β$-expansions [PDF]
J. Aust. Math. Soc. 97 (2014) 257-287, 2013 We will introduce a family $\Gamma_\beta, 1 < \beta \in {\mathbb{R}}$ of infinite non-amenable discrete groups as an interpolation of the Higman-Thompson groups $V_n, 1 < n \in {\mathbb{N}}$ by using the topological full groups of the groupoids defined by $\beta$-expansions of real numbers. They are regarded as full groups of certain interpolated Cuntz
arxiv +1 more source
$\beta$-function for topologically massive gluons [PDF]
, 2014 We calculate the quantum corrections to the two-point function of four dimensional topologically massive non-Abelian vector fields at one loop order for $SU(N)$ gauge theory in Feynman-'t Hooft gauge.
Lahiri, Amitabha, Mukhopadhyay, Debmalya
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Study of Possible Ultraviolet Zero of the Beta Function in Gauge Theories with Many Fermions [PDF]
, 2013 We study the possibility of an ultraviolet (UV) zero in the $n$-loop beta function of U(1) and non-Abelian gauge theories with $N_f$ fermions for large $N_f$. The effect of scheme transformations on the coefficients of different powers of $N_f$ in the $n$
R. Shrock
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IEEE Journal of Selected Topics in Applied Earth Observations and Remote SensingThis study performed a numerical investigation to explore the effect of span-wise area distribution on flapping wing aerodynamics in hovering configuration using an in-house developed flow solver.
Guilin Wu, Shuanghou Deng, Qingxi Li
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Random β-transformation on fat Sierpinski gasket [PDF]
arXiv, 2022 We consider the iterated function system (IFS) $$f_{\vec{q}}(\vec{z})=\frac{\vec{z}+\vec{q}}{\beta},\vec{q}\in\{(0,0),(1,0),(0,1)\}.$$ As is well known, for $\beta = 2$ the attractor, $S_\beta$, is a fractal called the Sierpi\'nski gasket(or sieve) and for $\beta>2$ it is also a fractal.
arxiv
International Journal of Mathematics, 1999 We introduce the beta function of a knot in Euclidean three-space. This is a meromorphic function of a complex variable which we prove admits a Bernstein type functional equation. We determine the first residues.
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, 2011 For N=1 supersymmetric quantum electrodynamics, regularized by higher derivatives, a method for summation of all Feynman diagrams defining the beta-function is presented.
Adler +75 more
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