Results 11 to 20 of about 1,936,839 (295)

Semiclassical Universe from First Principles [PDF]

, 2004
Causal Dynamical Triangulations in four dimensions provide a background-independent definition of the sum over space-time geometries in nonperturbative quantum gravity.
Ambjørn, Ambjørn, Ambjørn, Ambjørn, Ambjørn, Ambjørn, Ambjørn, Antoniadis, Dasgupta, Gibbons, Halliwell, Halliwell, Hartle, J. Ambjørn, J. Jurkiewicz, Linde, Newman, R. Loll, Rubakov, Teitelboim, Teitelboim, Vilenkin, Vilenkin, Vilenkin, Vilenkin, Weinberg   +25 more
core   +5 more sources

Optimal Hyers-Ulam’s constant for the linear differential equations

Journal of Inequalities and Applications, 2016
In this paper, we will obtain the optimal Hyers-Ulam’s constant for the first-order linear differential equations p ( t ) y ′ ( t ) − q ( t ) y ( t ) − r ( t ) = 0 $p(t)y'(t) - q(t)y(t) - r(t) = 0$ .
Soon-Mo Jung, Jaiok Roh, Juri Lee
doaj   +1 more source

Friendship prediction model based on factor graphs integrating geographical location

CAAI Transactions on Intelligence Technology, 2020
With the development of network services and location-based systems, many mobile applications begin to use users’ geographical location to provide better services. In terms of social networks, geographical location is actively shared by users.
Liang Chen, Shaojie Qiao, Nan Han, Nan Han, Chang-an Yuan, Xuejiang Song, Ping Huang, Yueqiang Xiao   +7 more
doaj   +1 more source

Finding Liouvillian first integrals of rational ODEs of any order in finite terms [PDF]

, 2005
It is known, due to Mordukhai-Boltovski, Ritt, Prelle, Singer, Christopher and others, that if a given rational ODE has a Liouvillian first integral then the corresponding integrating factor of the ODE must be of a very special form of a product of ...
Kosovtsov, Yuri N.
core   +5 more sources

Dynamics of barrier penetration in thermal medium: exact result for inverted harmonic oscillator [PDF]

, 2000
Time evolution of quantum tunneling is studied when the tunneling system is immersed in thermal medium. We analyze in detail the behavior of the system after integrating out the environment.
A.G. Cohen, A.I. Larkin, A.O. Caldeira, A.O. Caldeira, B.L. Hu, C.G. Callan, D. Waxman, D.D Clayton, G.W. Ford, H. Grabert, H. Grabert, H. Kramers, I. Joichi, I. Joichi, I.K. Affleck, J.J. Halliwell, J.S. Langer, M. Stone, M. Yoshimura, P. Hanggi, P. Ullersma, R.P. Feynman, R.P. Feynman, S. Coleman, Sh. Matsumoto, W. Zweger   +25 more
core   +2 more sources

Darboux integrability and the inverse integrating factor

Journal of Differential Equations, 2003
Consider planar (real or complex) polynomial vector fields \(X=P(x,y)\partial_x+Q(x,y)\partial_y\) having a Darboux first integral of the form \[ H= f_1^{\lambda_1}\cdots f_p^{\lambda_p} \left( \exp\left( {h_1}\over {g_1} \right) \right)^{\mu_1} \cdots \left( \exp\left({h_q}\over{g_q} \right) \right)^{\mu_q}, \] where \(f_i, g_i\) and \(h_i\) are ...
Chavarriga, Javier, Giacomini, Hector, Giné, Jaume, Llibre, Jaume   +3 more
openaire   +2 more sources

Black Hole Thermodynamics in Carath\'eodory's Approach [PDF]

, 2002
We show that, in the framework of Carath\'eodory's approach to thermodynamics, one can implement black hole thermodynamics by realizing that there exixts a quasi-homogeneity symmetry of the Pfaffian form $\deq$ representing the infinitesimal heat ...
Anosov, Belgiorno, Belgiorno, Belgiorno, Belgiorno, Belgiorno, Bocharov, Buchdahl, Caldarelli, Carter, Cerveau, F. Belgiorno, Gour, Guggenheim, Kestin, Visser   +15 more
core   +3 more sources

Integrating factor [PDF]

Mathematica Bohemica, 1994
Summary: The problem of integrating factor for ordinary differential equations is investigated. Conditions are given which guarantee that each solution of \(\partial_ 1 F(x,y) + y'\partial_ 2 F(x,y) = 0\) is also a solution of \(M(x,y)+ y' N(x, y)= 0\) where \(\partial_ 1 F= \mu M\) and \(\partial_ 2 F= \mu N\).
openaire   +2 more sources

Analytic Methods for Solving Higher Order Ordinary Differential Equations

Mathematics, 2019
In this work, an analytic approach for solving higher order ordinary differential equations (ODEs) is developed. The techniques offer analytic flexibility in many research areas such as physics, engineering, and applied sciences and are effective for ...
Maria P. Beccar-Varela, Md Al Masum Bhuiyan, Maria C. Mariani, Osei K. Tweneboah   +3 more
doaj   +1 more source

The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor

Advances in Nonlinear Analysis, 2023
We consider analytic families of planar vector fields depending analytically on the parameters in Λ\Lambda that guarantee the existence of a (may be degenerate and with characteristic directions) monodromic singularity.
García Isaac A., Giné Jaume
doaj   +1 more source