ARTICLE

doi:10.20944/preprints201801.0020.v1
Subject:
Mathematics & Computer Science,
General Mathematics
Keywords:
Riemannweil formula; perron formula; explicit formulae; Riemann zeros
Online: 3 January 2018 (05:07:10 CET)
CONCEPT PAPER

doi:10.20944/preprints201608.0039.v1
Subject:
Mathematics & Computer Science,
Information Technology & Data Management
Keywords:
knowledge management; tacit knowledge; explicit knowledge
Online: 4 August 2016 (08:30:38 CEST)
ARTICLE

doi:10.20944/preprints202106.0132.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
Heaviside function, explicit form, inverse trigonometric functions
Online: 4 June 2021 (10:35:46 CEST)
HYPOTHESIS

doi:10.20944/preprints202104.0060.v1
Subject:
Behavioral Sciences,
Applied Psychology
Keywords:
Human Memory; Longterm Memory; Episodic; Implicit; Explicit
Online: 2 April 2021 (12:02:21 CEST)
ARTICLE

doi:10.20944/preprints201704.0026.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
simple form; explicit form; differential equation; Lerch transcendent; logarithmic function
Online: 4 April 2017 (16:53:18 CEST)
ARTICLE

doi:10.20944/preprints201909.0077.v1
Subject:
Engineering,
Other
Keywords:
active queue management (AQM); congestion control; explicit congestion notification (ECN); machine learning
Online: 6 September 2019 (16:48:42 CEST)
ARTICLE

doi:10.20944/preprints201808.0510.v1
Subject:
Engineering,
General Engineering
Keywords:
Colebrook equation; flow friction; turbulent flow; genetic programming; symbolic regression; explicit approximations
Online: 30 August 2018 (05:05:59 CEST)
ARTICLE

doi:10.20944/preprints201808.0248.v1
Subject:
Engineering,
Energy & Fuel Technology
Keywords:
photovoltaic panel; explicit model; spectrum splitting; IV characteristic prediction; shape parameter
Online: 23 August 2018 (11:03:53 CEST)
ARTICLE

doi:10.20944/preprints201708.0044.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
identity; Bell polynomial; unnamed polynomial; explicit formula; inversion theorem; Stirling number; binomial coeﬃcient
Online: 11 August 2017 (13:51:05 CEST)
REVIEW

doi:10.20944/preprints202005.0243.v1
Subject:
Mathematics & Computer Science,
Computational Mathematics
Keywords:
Colebrook equation; Hydraulic flow friction; Wright ωfunction; explicit approximations; symbolic regression; computational intelligence
Online: 14 May 2020 (15:15:38 CEST)
ARTICLE

doi:10.20944/preprints201610.0089.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
improper integral; explicit expression; unified expression; beta function; Wallis ratio; integral representation; Catalan number
Online: 21 October 2016 (08:29:08 CEST)
ARTICLE

doi:10.20944/preprints201808.0211.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
Colebrook equation; ColebrookWhite; iterative methods; threepoint methods; turbulent flow; hydraulic resistances; pipes; explicit approximations;
Online: 11 August 2018 (18:56:29 CEST)
ARTICLE

doi:10.20944/preprints201703.0200.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
explicit formula; recursive formula; generalized Motzkin number; Motzkin number; restricted hexagonal number; Catalan number; generating function
Online: 27 March 2017 (11:02:41 CEST)
ARTICLE

doi:10.20944/preprints201611.0145.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
Hermite polynomial; square; generating function; higher order derivative; differential equation; derivative polynomial; explicit formula; recurrence relation
Online: 29 November 2016 (06:50:11 CET)
ARTICLE

doi:10.20944/preprints201810.0545.v1
Subject:
Mathematics & Computer Science,
Applied Mathematics
Keywords:
Colebrook equation; hydraulic resistance; Lambert Wfunction; Wright Ωfunction; explicit approximations; computational burden; turbulent flow; friction factor
Online: 23 October 2018 (16:28:10 CEST)
ARTICLE

doi:10.20944/preprints201807.0505.v1
Subject:
Engineering,
Civil Engineering
Keywords:
Colebrook equation; ColebrookWhite; iterative methods; threepoint methods; turbulent flow; hydraulic resistances; pipes; explicit approximations; NewtonRapson; Household’s methods
Online: 26 July 2018 (04:47:16 CEST)
ARTICLE

doi:10.20944/preprints201703.0209.v2
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
identity; inverse matrix; explicit formula; generating function; Chebyshev polynomials of the second kind; Catalan number; triangular matrix; classical hypergeometric function; integral representation
Online: 7 August 2017 (15:49:11 CEST)
ARTICLE

doi:10.20944/preprints201708.0090.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
Bell number; Bell polynomial; generalization; explicit formula; inversion formula; inversion theorem; Stirling number; Bell polynomial of the second kind; determinantal inequality; product inequality; completely monotonic function; logarithmic convexity
Online: 26 August 2017 (09:12:05 CEST)
ARTICLE

doi:10.20944/preprints201611.0146.v1
Subject:
Mathematics & Computer Science,
Analysis
Keywords:
explicit form; inhomogeneous linear ordinary differential equation; derivative; Lerch transcendent; absolute monotonicity; complete monotonicity; Bernstein function; inequality; diagonal recurrence relation; Stirling numbers of the first kind; logarithmic function
Online: 29 November 2016 (08:00:53 CET)
ARTICLE

doi:10.20944/preprints202012.0192.v1
Subject:
Physical Sciences,
Optics
Keywords:
nonlinear Schrödinger equation system; fewmode propagation; Kerr effect; Raman scattering; dispersion; implicit/explicit Crank–Nicolson scheme; pulse chirping, secondorder dispersion, thirdorder dispersion, chirp pulse, optical pulse compression, pulse collapse
Online: 8 December 2020 (09:57:12 CET)
ARTICLE

doi:10.20944/preprints201709.0034.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
multiorder logarithmic number; multiorder logarithmic polynomial; explicit formula; identity; recurrence relation; inversion theorem; Bell polynomial of the second kind; Stirling number; determinantal inequality; product inequality; completely monotonic function; logarithmic convexity; Faa di Bruno formula
Online: 11 September 2017 (04:22:18 CEST)
ARTICLE

doi:10.20944/preprints201708.0079.v2
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
Bell polynomial; Bell number; Bell polynomial of the second kind; higher order derivative; generating function; Faa di Bruno formula; inversion theorem; Stirling number of the first kind; Stirling number of the second kind; explicit formula; inversion formula; logarithmically absolute monotonicity; logarithmically complete monotonicity; determinantal inequality; product inequality
Online: 25 August 2017 (08:41:30 CEST)