Results 41 to 50 of about 12,715,680 (227)

A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine

Open Mathematics, 2023
In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of ...
Li Yan-Fang, Qi Feng
doaj   +1 more source

Galactic Stellar and Substellar Initial Mass Function [PDF]

, 2003
We review recent determinations of the present‐day mass function (PDMF) and initial mass function (IMF) in various components of the Galaxy—disk, spheroid, young, and globular clusters—and in conditions characteristic of early star formation.
G. Chabrier
semanticscholar   +1 more source

Improved Price Oracles: Constant Function Market Makers [PDF]

Conference on Advances in Financial Technologies, 2020
Automated market makers, first popularized by Hanson's logarithmic market scoring rule (or LMSR) for prediction markets, have become important building blocks, called 'primitives,' for decentralized finance. A particularly useful primitive is the ability
Guillermo Angeris, Tarun Chitra
semanticscholar   +1 more source

Double-logs, Gribov-Lipatov reciprocity and wrapping [PDF]

, 2011
We study analytical properties of the five-loop anomalous dimension of twist-2 operators at negative even values of Lorentz spin. Following L. N. Lipatov and A. I.
AV Kotikov, AV Kotikov, AV Kotikov, AV Kotikov, D Bombardelli, D Maître, D Serban, DE Berenstein, E Remiddi, E Witten, EA Kuraev, F Fiamberti, F Fiamberti, G Arutyunov, G Arutyunov, G Arutyunov, G Arutyunov, G Arutyunov, I Bena, II Balitsky, J Balog, J Balog, JA Minahan, JAM Vermaseren, JM Maldacena, K Kainulainen, LD Faddeev, LN Lipatov, LN Lipatov, M Beccaria, M Beccaria, M Staudacher, N Beisert, N Beisert, N Beisert, N Beisert, N Beisert, N Beisert, N Beisert, N Beisert, N Gromov, N Gromov, N Gromov, R Hernandez, R Kirschner, R Kirschner, R Kirschner, RA Janik, S Moch, S Schäfer-Nameki, SS Gubser, T Lukowski, V. N. Velizhanin, VA Kazakov, VG Gorshkov, VG Gorshkov, VG Gorshkov, VM Braun, VN Gribov, VN Gribov, VN Velizhanin, VN Velizhanin, VS Fadin, YL Dokshitzer, YL Dokshitzer, Z Bajnok, Z Bajnok, Z Bajnok, Z Bajnok, Z Bern   +69 more
core   +1 more source

Sharp Bounds of Hankel Determinant on Logarithmic Coefficients for Functions Starlike with Exponential Function

Fractal and Fractional, 2022
Using the Lebedev–Milin inequalities, bounds on the logarithmic coefficients of an analytic function can be transferred to estimates on coefficients of the function itself and related functions.
Lei Shi, Muhammad Arif, Javed Iqbal, Khalil Ullah, Syed Muhammad Ghufran   +4 more
doaj   +1 more source

Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function [PDF]

, 2010
We evaluate the one loop determinant of matter multiplet fields of N=4 supergravity in the near horizon geometry of quarter BPS black holes, and use it to calculate logarithmic corrections to the entropy of these black holes using the quantum entropy ...
A Dabholkar, A Dabholkar, A Dabholkar, A Dabholkar, A Gregori, A Sen, A Sen, A Sen, A Sen, A Sen, A Sen, A Sen, A Sen, A Sen, A Sen, A Sen, A Sen, A Strominger, AJM Medved, AS Schwarz, Ashoke Sen, BR Majhi, BS DeWitt, D Shih, D Shih, DN Page, DP Jatkar, DV Fursaev, DV Vassilevich, E Sezgin, E Witten, E Witten, E Witten, E Witten, F Denef, G Lopes Cardoso, G Lopes Cardoso, G Lopes Cardoso, HP McKean, IL Buchbinder, J Gomis, J Maharana, J Polchinski, J Thierry-Mieg, JA Harvey, JJ Duistermaat, JM Maldacena, JM Maldacena, JR David, JR David, JR David, JR David, JR David, K Kirsten, M Cvetič, M Cvetič, MB Green, MCN Cheng, MCN Cheng, MCN Cheng, MCN Cheng, MF Atiyah, MJ Duff, N Banerjee, N Banerjee, N Banerjee, N Berkovits, NA Nekrasov, OV Zaboronsky, PB Gilkey, PS Aspinwall, R Aros, R Banerjee, R Banerjee, R Camporesi, R Camporesi, R Camporesi, R Camporesi, R Camporesi, R Dijkgraaf, R-G Cai, Rajesh K. Gupta, RB Mann, RB Mann, RK Kaul, RM Wald, S Banerjee, S Banerjee, S Banerjee, S Carlip, S Chaudhuri, S Ferrara, S Ferrara, S Giombi, S Govindarajan, S Govindarajan, S Murthy, S-J Rey, Shamik Banerjee, SM Christensen, SM Christensen, SM Christensen, SN Solodukhin, SN Solodukhin, T Hartman, T Jacobson, T Mohaupt, TR Govindarajan, V Iyer, W Siegel   +109 more
core   +2 more sources

A Series Expansion of a Logarithmic Expression and a Decreasing Property of the Ratio of Two Logarithmic Expressions Containing Sine

Mathematics, 2023
In the paper, by virtue of a derivative formula for the ratio of two differentiable functions and with the help of a monotonicity rule, the authors expand a logarithmic expression involving the sine function into the Maclaurin power series in terms of ...
Xin-Le Liu, Hai-Xia Long, Feng Qi
doaj   +1 more source

Exploring the Extended Beta-Logarithmic Function: Matrix Arguments and Properties

Mathematics
The beta-logarithmic function substantially generalizes the standard beta function, which is widely recognized for its significance in many applications.
Mohammed Z. Alqarni
doaj   +1 more source

Hermite-Hadamard type inequalities for (m, M)-Ψ-convex functions when Ψ = -ln [PDF]

Mathematica Moravica, 2018
In this paper we establish some Hermite-Hadamard type inequalities for (m, M)-Ψ-convex functions when Ψ=- ln. Applications for power functions and weighted arithmetic mean and geometric mean are also provided.
Sever Silvestru Dragomir, Gomm Ian
doaj  

Logarithmic correction in the deformed ${\rm AdS}_5$ model to produce the heavy quark potential and QCD beta function

, 2010
We stude the \textit{holographic} QCD model which contains a quadratic term $ -\sigma z^2$ and a logarithmic term $-c_0\log[(z_{IR}-z)/z_{IR}]$ with an explicit infrared cut-off $z_{IR}$ in the deformed ${\rm AdS}_5$ warp factor. We investigate the heavy
E. Witten, F. Sannino, J. M. Maldacena, Mei Huang, Qi-Shu Yan, Song He   +5 more
core   +1 more source