ARTICLE

doi:10.20944/preprints202102.0139.v1
Subject:
Engineering,
Automotive Engineering
Keywords:
Wieghardt foundation; BernoulliEuler beams; nonlocal effects; integral nonlocal model
Online: 4 February 2021 (13:08:54 CET)
TECHNICAL NOTE

doi:10.20944/preprints202105.0660.v2
Subject:
Engineering,
Civil Engineering
Keywords:
Axially functionally graded nonprismatic EulerBernoulli beam; finite difference method; additional points; vibration analysis; direct time integration method
Online: 24 September 2021 (11:27:04 CEST)
ARTICLE

doi:10.20944/preprints202103.0042.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Modulus of elasticity; frequency spectrum; mic; EulerBernoulli equation
Online: 1 March 2021 (18:31:31 CET)
ARTICLE

doi:10.20944/preprints201712.0104.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(p, q)calculus; Bernoulli polynomials; Euler polynomials; Genocchi polynomials; FrobeniusEuler polynomials; generating function; Cauchy product
Online: 15 December 2017 (09:14:10 CET)
ARTICLE

doi:10.20944/preprints201610.0043.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
viewpoint; ordinary differential equation; solution; derivative polynomial; identity; Stirling numbers; Bernoulli number; Bernoulli polynomial; FrobeniusEuler polynomial
Online: 12 October 2016 (11:47:48 CEST)
ARTICLE

doi:10.20944/preprints201908.0212.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
Special polynomials; gamma distribution; Cauchy product; generating function; Bernoulli polynomials; Euler polynomials.
Online: 20 August 2019 (11:08:39 CEST)
ARTICLE

doi:10.20944/preprints202401.0738.v2
Subject:
Chemistry And Materials Science,
Nanotechnology
Keywords:
Functionally Graded (FG) Materials; BernoulliEuler Nanobeams; StressDriven Nonlocal Model; Free Vibration Analysis; Surface Energy Effects; Higher Vibration Modes
Online: 11 January 2024 (12:23:53 CET)
ARTICLE

doi:10.20944/preprints201712.0152.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(p, q)calculus; apostolbernoulli polynomials; apostoleuler polynomials; apostol genocchi polynomials; stirling numbers of second kind; generating function; cauchy product
Online: 21 December 2017 (05:30:46 CET)
ARTICLE

doi:10.20944/preprints202403.0002.v1
Subject:
Engineering,
Mechanical Engineering
Keywords:
Frequency dependent mass or damping or stiffness, fractional inertia or damping or restoration force, equivalent motion equation, multifractional EulerBernoulli beam
Online: 1 March 2024 (10:30:13 CET)
ARTICLE

doi:10.20944/preprints201904.0309.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
$q$Hermite polynomials; $q$HermiteFubini polynomials; $q$Bernoulli polynomials; $q$Euler polynomials; $q$Genocchi polynomials; Stirling numbers of the second kind
Online: 28 April 2019 (10:15:26 CEST)
ARTICLE

doi:10.20944/preprints202405.1602.v1
Subject:
Applied Mathematics,
Computer Science And Mathematics
Keywords:
Bernoulli polynomials; shifted Chebyshev polynomials; Bernoulli collocation method (BCM); Improved Bernoulli collocation method (IBCM); Volterra integral equation s (VIEs)
Online: 24 May 2024 (08:38:41 CEST)
SHORT NOTE

doi:10.20944/preprints201610.0034.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
determinantal expression; recurrence relation; Euler polynomial; Euler number; Hessenberg determinant
Online: 11 October 2016 (10:40:02 CEST)
ARTICLE

doi:10.20944/preprints202102.0559.v3
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Euler Bernoulli beam; finite difference method; additional points; element stiffness matrix; tapered beam; firstorder analysis; secondorder analysis; vibration analysis; direct time integration method
Online: 23 September 2021 (13:08:38 CEST)
ARTICLE

doi:10.20944/preprints202301.0225.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Gamma function; Zeta function; Bernoulli numbers
Online: 12 January 2023 (10:38:15 CET)
ARTICLE

doi:10.20944/preprints201807.0566.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
qBernoulli numbers; qBernoulli polynomials; Bernstein polynomials; qBernstein polynomials; padic integral on Zp
Online: 30 July 2018 (08:17:45 CEST)
ARTICLE

doi:10.20944/preprints202007.0319.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
polylogarithm function; FrobeniusEuler polynomials; new type of degenerate polyFrobeniusEuler polynomials
Online: 15 July 2020 (06:31:30 CEST)
ARTICLE

doi:10.20944/preprints202008.0057.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Bernoulli polynomials; Degenerate multipolyexponential functions; Degenerate multipolyBernoulli polynomials; Degenerate Stirling numbers; Degenerate Whitney numbers
Online: 3 August 2020 (00:28:39 CEST)
ARTICLE

doi:10.20944/preprints201712.0118.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
qumbral calculus; apostolbernoulli polynomials; modi.ed apostol type qbernoulli polynomials; qappell polynomials; generating functions
Online: 18 December 2017 (10:01:24 CET)
ARTICLE

doi:10.20944/preprints202007.0255.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
polylogarithm function; FrobeniusEuler polynomials; type 2 degenerate polyFrobeniusEuler polynomials; unipoly functions
Online: 12 July 2020 (12:22:53 CEST)
ARTICLE

doi:10.20944/preprints202007.0202.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
degenerate polylogarithm functions; degenerate polyEuler polynomials; degenerate unipoly functions; degenerate unipolyEuler polynomials
Online: 10 July 2020 (03:39:58 CEST)
ARTICLE

doi:10.20944/preprints201802.0145.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
HermiteKampé de Fériet polynomials; Hermite Bernoulli polynomials; poly Bernoulli polynomials; Stirling numbers of second kind; Polylogarithm functions.
Online: 22 February 2018 (15:28:12 CET)
ARTICLE

doi:10.20944/preprints201904.0308.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
$(p,q)$calculus; $(p; q)$Bernoulli polynomials; $(p; q)$Euler polynomials; $(p; q)$Genocchi polynomials; $(p; q)$Fubini numbers and polynomials; $(p; q)$ Stirling numbers of the second kind
Online: 28 April 2019 (09:56:29 CEST)
ARTICLE

doi:10.20944/preprints202106.0165.v1
Subject:
Engineering,
Automotive Engineering
Keywords:
generalized nonlinear constitutive law; steel frame; Timoshenko; Bernoulli
Online: 7 June 2021 (10:51:17 CEST)
ARTICLE

doi:10.20944/preprints202008.0706.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Euler polynomials; Degenerate multipolyexponential functions; Degenerate multipolyEuler polynomials; Degenerate Stirling numbers; Degenerate Whitney numbers
Online: 31 August 2020 (05:15:55 CEST)
ARTICLE

doi:10.20944/preprints201807.0025.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
fractional differential equations; conformable derivative; Bernoulli equation; exact solution
Online: 3 July 2018 (06:04:53 CEST)
ARTICLE

doi:10.20944/preprints201702.0061.v1
Subject:
Engineering,
Electrical And Electronic Engineering
Keywords:
multitarget tracking; multiBernoulli filter; sequential MonteCarlo
Online: 16 February 2017 (09:39:29 CET)
ARTICLE

doi:10.20944/preprints201807.0325.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fubini polynomials; Euler numbers; congruence; elementary method
Online: 20 August 2018 (18:50:20 CEST)
ARTICLE

doi:10.20944/preprints202106.0178.v1
Subject:
Physical Sciences,
Chemical Physics
Keywords:
generalized nonlinear constitutive law; composite beam; Timoshenko beam; Bernoulli beam
Online: 7 June 2021 (12:48:26 CEST)
ARTICLE

doi:10.20944/preprints202406.1385.v1
Subject:
Algebra And Number Theory,
Computer Science And Mathematics
Keywords:
isomorphism; treonic number; algebra B; Euler identity; hyperbolic
Online: 20 June 2024 (08:30:58 CEST)
ARTICLE

doi:10.20944/preprints202401.0818.v1
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
new Lorentzinvariant coordinates; angular and perpendicular rapidities; Gudermann function; passage to the limit; EulerHamilton equation; EulerLagrange equations
Online: 10 January 2024 (11:04:13 CET)
ARTICLE

doi:10.20944/preprints202305.0373.v2
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
Information; Quantum Physics; Matrix Exponential Function; Bernoulli Random Walk; BRW; Statistics
Online: 25 June 2023 (04:49:47 CEST)
ARTICLE

doi:10.20944/preprints201708.0099.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
inequality; ratio; Bernoulli number; Riemann zeta function; Dirichlet eta function; accuracy
Online: 28 August 2017 (09:30:34 CEST)
ARTICLE

doi:10.20944/preprints202309.1711.v1
Subject:
Environmental And Earth Sciences,
Space And Planetary Science
Keywords:
Water pollution; artificial neural networks; CFD; Euler equation; PINN
Online: 26 September 2023 (14:06:06 CEST)
ARTICLE

doi:10.20944/preprints202309.0222.v1
Subject:
Computer Science And Mathematics,
Mathematical And Computational Biology
Keywords:
Stochastic dynamics; HBV; stability in probability; EulerMaruyama; Milstein
Online: 5 September 2023 (03:47:46 CEST)
ARTICLE

doi:10.20944/preprints201807.0182.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
degenerate Bernstein polynomials, degenerate Bernstein operators, degenerate Euler polynomials.
Online: 10 July 2018 (13:56:13 CEST)
ARTICLE

doi:10.20944/preprints201908.0216.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Hermite polynomials, Apostol type FrobeniusEuler polynomials, Hermite based Apostol type Frobenius Euler polynomials, Stirling numbers of the second kind, (p,q)numbers.
Online: 20 August 2019 (11:29:03 CEST)
ARTICLE

doi:10.20944/preprints202311.0372.v1
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
Geodesic structure; EulerLagrange equation; Kessence geometry; Vaidya spacetime
Online: 6 November 2023 (16:32:50 CET)
ARTICLE

doi:10.20944/preprints202007.0103.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
polylogarithm function; FrobeniusGenocchi polynomials; degenerate polyFrobeniusEuler polynomials
Online: 6 July 2020 (09:47:06 CEST)
ARTICLE

doi:10.20944/preprints202402.1143.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(finite) Euler sums; symmetric Euler sums; (finite) multiple Tvalues; symmetric multiple Tvalues; alternating multiple Tvalues
Online: 20 February 2024 (14:34:09 CET)
ARTICLE

doi:10.20944/preprints201802.0119.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
numbers and polynomials; Bernoulli numbers and polynomials; Genocchi numbers and polynomials; power sums
Online: 19 February 2018 (14:18:47 CET)
ARTICLE

doi:10.20944/preprints202303.0368.v1
Subject:
Engineering,
Automotive Engineering
Keywords:
semistructured complex numbers; trigonometry; Euler formulas; quaternions; singularities; engineering; science
Online: 21 March 2023 (04:30:05 CET)
ARTICLE

doi:10.20944/preprints201807.0064.v1
Subject:
Physical Sciences,
Quantum Science And Technology
Keywords:
quantum nonlocality; quantum decoding; inverse square law; Euler Formula; quantum causality
Online: 4 July 2018 (09:35:19 CEST)
ARTICLE

doi:10.20944/preprints201902.0058.v1
Subject:
Physical Sciences,
Quantum Science And Technology
Keywords:
quantum chaos; measurement; randomness; information; decoherence; dissipation; spin; Bernoulli map; kicked rotor; standard map
Online: 7 February 2019 (15:01:46 CET)
SHORT NOTE

doi:10.20944/preprints201703.0055.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
closed form; Stirling polynomial; Stirling number; Bernoulli number; Faá di Bruno's formula; Bell polynomial
Online: 10 March 2017 (10:28:19 CET)
ARTICLE

doi:10.20944/preprints202403.1514.v1
Subject:
Computer Science And Mathematics,
Artificial Intelligence And Machine Learning
Keywords:
physicsinformed neural networks; artificial neural networks; CFD; gas flow; Euler equation
Online: 26 March 2024 (13:08:27 CET)
ARTICLE

doi:10.20944/preprints202305.0761.v1
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
Emergent spacetime; Discrete spacetime; Cosmological constant; Nonassociative geometry; Euler characteristic; Complex networks
Online: 10 May 2023 (14:28:45 CEST)
ARTICLE

doi:10.20944/preprints202104.0297.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
generalized hyperharmonic numbers, classical Euler sums, binomial coefficients, combinatorial approach, partial fraction approach
Online: 12 April 2021 (12:43:36 CEST)
ARTICLE

doi:10.20944/preprints201712.0115.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
qcalculus; stirling numbers of the second kind; bernoulli polynomials and numbers; generating function; cauchy product
Online: 18 December 2017 (08:22:41 CET)
ARTICLE

doi:10.20944/preprints202312.1012.v9
Subject:
Physical Sciences,
Fluids And Plasmas Physics
Keywords:
Turbulence; fractal; anomalous dissipation; fixed point; velocity circulation; loop equations; Euler Phi; prime numbers; Fermi particles; instanton
Online: 12 April 2024 (14:39:31 CEST)
ARTICLE

doi:10.20944/preprints202308.2042.v4
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
Turbulence; Fractal; Anomalous dissipation; Fixed point; Velocity circulation; Loop Equations; Euler Phi; Prime numbers
Online: 18 September 2023 (13:56:35 CEST)
COMMUNICATION

doi:10.20944/preprints201810.0592.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
transcendental numbers; Euler formula; YangBaxter equation; Jordan algebras; Lie algebras; associative algebras; coalgebras
Online: 25 October 2018 (05:37:58 CEST)
ARTICLE

doi:10.20944/preprints201808.0376.v1
Subject:
Physical Sciences,
Fluids And Plasmas Physics
Keywords:
continuity equation, NavierStokes equation, Bernoulli equation, existence and smoothens of the solutions of NavierStokes equation
Online: 21 August 2018 (10:12:40 CEST)
ARTICLE

doi:10.20944/preprints202307.1306.v1
Subject:
Computer Science And Mathematics,
Artificial Intelligence And Machine Learning
Keywords:
Recurrent Neural Network(RNN); Support Vector Machine (SVM); KernelAdatron algorithm (KA); EulerCauchy Algorithm
Online: 19 July 2023 (08:06:13 CEST)
ARTICLE

doi:10.20944/preprints202010.0059.v1
Subject:
Environmental And Earth Sciences,
Atmospheric Science And Meteorology
Keywords:
full tensor gradient gravity; kernel density imaging; color spectrums; multiplesources; Euler deconvolution; tight clusters
Online: 5 October 2020 (10:36:52 CEST)
ARTICLE

doi:10.20944/preprints202201.0412.v1
Subject:
Engineering,
Mechanical Engineering
Keywords:
Arbitrary LagrangeEuler; Rational finite element; Absolute nodal coordinate formulation; Variablelength finite element; Sliding joint
Online: 27 January 2022 (11:05:54 CET)
ARTICLE

doi:10.20944/preprints201810.0214.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
(h,q)Euler polynomials; degenerate (h,q)Changhee polynomials; fermionic padic qintegral on Z_p
Online: 10 October 2018 (10:26:49 CEST)
ARTICLE

doi:10.20944/preprints201810.0142.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(h,q)Euler polynomials; degenerate (h,q)Changhee polynomials,; fermionic padic qintegral on Z_p.
Online: 8 October 2018 (11:40:33 CEST)
ARTICLE

doi:10.20944/preprints202403.1313.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
EulerPoisson equations; exact solutions in elementary functions; constrained systems; integrable systems; spinning body in external fields
Online: 26 March 2024 (03:02:20 CET)
ARTICLE

doi:10.20944/preprints201712.0105.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Carlitz’s qBernoulli polynomials; Stirling numbers of the first kind; Stirling numbers of the second kind; padic qintegral
Online: 15 December 2017 (09:31:13 CET)
ARTICLE

doi:10.20944/preprints202011.0463.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci number; Lucas number; summation identity; series; generating function; gamma function; digamma function; trigonometric functions; inverse tangent; bernoulli number; zeta function
Online: 18 November 2020 (10:19:50 CET)
ARTICLE
Subject:
Engineering,
Industrial And Manufacturing Engineering
Keywords:
parallel robot; fiveDoF task; 3T2R task; functional redundancy; task redundancy; redundancy resolution; reciprocal Euler angles; inverse kinematics
Online: 1 July 2019 (12:17:56 CEST)
ARTICLE

doi:10.20944/preprints202306.1285.v1
Subject:
Biology And Life Sciences,
Ecology, Evolution, Behavior And Systematics
Keywords:
standard lagrangian; calculus of variation; hamiltonian; Lagrangian formalism; population dynamics; EulerLagrange equation; mathematical biology; nonlinear dynamical systems; ecological model
Online: 19 June 2023 (04:30:37 CEST)
ARTICLE

doi:10.20944/preprints202208.0219.v1
Subject:
Physical Sciences,
Fluids And Plasmas Physics
Keywords:
Fluid dynamics; Turbulent cascades; Fluid equilibria; Casimir constraints; Euler equation; Quasigeostrophic equations; Rossby waves; Axisymmetric flows; Shallow water equations; Magnetohydrodynamics
Online: 11 August 2022 (11:48:18 CEST)
ARTICLE

doi:10.20944/preprints201802.0118.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
padic numbers; padic gamma function; padic Euler constant; qDaehee polynomials; Stirling numbers of the first kind
Online: 19 February 2018 (14:12:04 CET)
ARTICLE

doi:10.20944/preprints201904.0126.v1
Subject:
Computer Science And Mathematics,
Discrete Mathematics And Combinatorics
Keywords:
power identities; polynomials; convolution; convolution power; integral transforms; power function; binomial theorem; multinomial theorem; Faulhaber's formula; Bernoulli numbers; Worpitzky identity; Stirling numbers; falling factorial
Online: 10 April 2019 (10:27:59 CEST)
ARTICLE

doi:10.20944/preprints202301.0032.v1
Subject:
Computer Science And Mathematics,
Computer Vision And Graphics
Keywords:
Minkowski Pythagorean Hodograph Curve; Rational Rotation Minimizing Frame; EulerRodrigues Frame; Split Quaternion Polynomial; MinkowskiHopf Map; Type (n, m) Curve
Online: 3 January 2023 (11:36:33 CET)
REVIEW

doi:10.20944/preprints202009.0530.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
liquid flow; hydrodynamic Euler equations; diffeomorphism group; LiePoisson structure; isentropic hydrodynmaic invarinats; vortex invariants; charged liquid fluid dynamics; symmetry reduction
Online: 23 September 2020 (03:45:21 CEST)
ARTICLE

doi:10.20944/preprints201905.0216.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
padic numbers, padic gamma function, padic Euler constant, Mahler expansion, Boole polynomials, Stirling numbers of the first kind.
Online: 16 May 2019 (15:34:31 CEST)
ARTICLE

doi:10.20944/preprints202310.0569.v1
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
energyequation; differentialequation; secondorder; ftl; coupled spacetimes; dampingenergy; linked shellmodel; spacetime oscillation equation; LambertWfunction; Eulerequation
Online: 10 October 2023 (05:33:31 CEST)
ARTICLE

doi:10.20944/preprints201905.0261.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
padic numbers; padic factorial function; padic gamma function; padic beta function; padic Euler constant; (ρ,q)numbers
Online: 21 May 2019 (11:37:44 CEST)
ARTICLE

doi:10.20944/preprints201905.0217.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
padic numbers, padic gamma function, padic Euler constant, Mahler expansion, qBoole polynomials, Stirling numbers of the first kind.
Online: 16 May 2019 (15:35:19 CEST)
ARTICLE

doi:10.20944/preprints201905.0215.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
padic numbers, padic gamma function, padic Euler constant, Mahler expansion, qDaehee polynomials, Stirling numbers of the first kind.
Online: 16 May 2019 (15:33:45 CEST)
REVIEW

doi:10.20944/preprints202306.0511.v1
Subject:
Physical Sciences,
Atomic And Molecular Physics
Keywords:
symmetry; invariant vectors; HermannBernoulliLaplaceRungeLenz vector; Redmond invariant; dynamical symmetry; supergeneralized RungeLenz vector; KustaanheimoStiefel transformation; chargedyon system; MICKepler problem
Online: 7 June 2023 (08:19:04 CEST)
ARTICLE

doi:10.20944/preprints201708.0017.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
simplification; coefficient; ordinary differential equation; higher order Frobenius–Euler number; Fa`a di Bruno formula; Bell polynomial of the second kind; inversion formula
Online: 4 August 2017 (15:47:44 CEST)
ARTICLE

doi:10.20944/preprints201903.0179.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
qnumbers, padic numbers, padic gamma function, Mahler expansion, Bernoulli polynomials, Daehee polynomials, Stirling numbers of the first kind, Stirling numbers of the second kind.
Online: 20 August 2019 (11:17:13 CEST)
ARTICLE

doi:10.20944/preprints202401.0887.v1
Subject:
Computer Science And Mathematics,
Artificial Intelligence And Machine Learning
Keywords:
global artificial intelligence; Euler product; Dirichlet; Riemann; Hilbert; ; Poincar\'e; Riemann hypothesis; zeta function; universality; applying the universality; Theoretical Foundations; Creating Fast Algorithms; Constructive Methods of Universality
Online: 11 January 2024 (08:14:06 CET)
ARTICLE

doi:10.20944/preprints201608.0078.v2
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
Lie Group Thermodynamics; Moment map; Gibbs Density; Gibbs Equilibrium; Maximum Entropy; Information Geometry; Symplectic Geometry; CartanPoincaré Integral Invariant; Geometric Mechanics; EulerPoincaré Equation; Fisher Metric; Gauge Theory; Affine Group
Online: 21 September 2016 (06:13:21 CEST)
ARTICLE

doi:10.20944/preprints201711.0157.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
series representation; power function; monomial; binomial theorem; multinomial theorem; worpitzky identity; stirling numbers of second kind; faulhaber's sum; finite difference; faulhaber's formula; central factorial numbers; binomial coefficients; binomial distribution; binomial transform; bernoulli numbers; oeis; multinomial coefficients
Online: 17 August 2018 (11:10:47 CEST)
ARTICLE

doi:10.20944/preprints201708.0026.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
simplification; coefficient; ordinary differential equation; higher order Bernoulli number of the second kind; Stirling number of the first kind; Stirling number of the second kind; inversion formula; Bell polynomial of the second kind; Faà di Bruno formula.
Online: 8 August 2017 (07:59:57 CEST)
REVIEW

doi:10.20944/preprints202308.0090.v1
Subject:
Computer Science And Mathematics,
Discrete Mathematics And Combinatorics
Keywords:
Unitary Cayley Graphs; Euler Totient Cayley Graphs; Unitary Addition Cayley Graphs; Unit Graphs; Absorption Cayley graphs; Nilpotent Cayley Graphs; Zerodivisor Cayley Graphs; Mixed unitary Cayley Graphs; Divisor Cayley Graphs; Involutory Cayley Graphs; Quadratic Residue Cayley Graphs
Online: 2 August 2023 (02:24:55 CEST)