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Concept Equations

2004
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Journal of Logic and Computation
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Studied in the paper are systems of

doi:10.1093/logcom/14.3.395
fatcat:xvmykxvuwvdotbw74mugeuzej4
*equations*which naturally arise in the formalization of the Port-Royal theory of*concepts*. The unknown quantity is a relation between objects and attributes. ... For the above reasons, we call such*equations**concept**equations*. ... Returning to our problem, we ask for the most economical change of logical precision such that the system of*concept**equations*has a solution. ...##
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Some considerations of matrix equations using the concept of reproductivity
[article]

2012
*
arXiv
*
pre-print

We determine reproductive and non-reproductive general solutions of analysed matrix

arXiv:1110.3519v5
fatcat:qzxnxjm5prh5zn3cixa5q3lway
*equation*and analysed matrix systems. ... In this paper we analyse Cline's matrix*equation*, generalized Penrose's matrix system and a matrix system for k-commutative 1-inverses. ... The*concept*of reproductive*equations*was introduced by S.B. Prešić [2] in 1968. Let S be a given non-empty set and J be a given unary relation of S. ...##
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Classical and Quantum Electrodynamics Concept Based on Maxwell Equations' Symmetry
[article]

2011
*
arXiv
*
pre-print

The symmetry studies of Maxwell

arXiv:1101.1886v4
fatcat:dk6pmxzxlvbs7owwuq4yvu4dsq
*equations*gave new insight on the nature of electromagnetic (EM) field. ... Generalized Maxwell*equations*for quaternion four-component EM-field are obtained. Invariants for EM-field, consisting of dually symmetric parts are found. ... Similar conclusion concerns the*conception*of complex characteristics of EM-field in the matter. Given*conception*agrees well with all practice of electric circuits' calculations. ...##
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Classical and Quantum Electrodynamics Concept Based on Maxwell Equations' Symmetry
[article]

2013
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arXiv
*
pre-print

Generalized Maxwell

arXiv:1102.2619v4
fatcat:atimjhqvyfcxnjprbpjeuah6tq
*equations*for quaternion four-component EM-field are obtained. Invariants for EM-field, consisting of dually symmetric parts are found. ... There exists physical conserving quantity, which is simultaneously invariant under both Rainich dual and additional hyperbolic dual symmetry transformation of Maxwell*equations*. ... Similar conclusion concerns the*conception*of complex characteristics of EM-field in the matter. Given*conception*agrees well with all practice of electric circuits' calculations. ...##
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Rearranging equations: (concepts – misconceptions) × peer discussion

2020
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MSOR Connections
*

lesson plans that emphasise conceptual understanding while also dispelling the relevant misconceptions, using a peer discussion teaching model as a vehicle for consolidating and propagating the right

doi:10.21100/msor.v18i3.1053
fatcat:5ut25m5sqvfrhmmi5xmxyr5yvy
*concepts*... Transposition of formulae (also known as rearranging*equations*and changing the subject) is a skill vital for professionals in many fields of science and engineering. ... With regard to rearranging*equations*, we believe, a successful intervention must firstly focus on building up a solid understanding of the*concepts*of equality and*equations*. ...##
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Integral Equations: The Concept Of Integrals

2012
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IOSR Journal of Mathematics
*

Also the

doi:10.9790/5728-0353538
fatcat:gv5o6rosw5eg5je4vpqkxolozu
*equation*of the curve formed when the double integral is converted to a single in integral is mentioned. ... The paper deals with the question that if the double integral is solved and it is converted to single integral then what is ment by it, also the*equation*of the curve formed of that single integral function ... This*concept*is applied in the various fields of mechanics and fluid mechanics. ...##
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Distributional solution concepts for the Euler-Bernoulli beam equation with discontinuous coefficients
[article]

2007
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arXiv
*
pre-print

We study existence and uniqueness of distributional solutions to the differential

arXiv:math/0606058v4
fatcat:6hqjlwzj6vdftbhirk5b4lbwdy
*equation*of the Euler-Bernoulli rod with discontinuous coefficients and right-hand side. ... Curiously, the choice of the distributional product*concept*is thus incompatible with the possibility of having a discontinuous displacement function as a solution. ... the solution*concept*itself. ...##
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A concept of Dirac-type tensor equations
[article]

2002
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arXiv
*
pre-print

Considering a four dimensional parallelisable manifold, we develop a

arXiv:math-ph/0212006v1
fatcat:4hh2ztbos5ay7ar35p3xfiicle
*concept*of Dirac-type tensor*equations*with wave functions that belong to left ideals of the set of nonhomogeneous complex valued differential ... Now we develop a*concept*of Dirac-type tensor*equations*with wave functions that belong to left ideals of Λ C . ... This*concept*gives us possibility to find an SU(3) invariant Dirac-type tensor*equation*with 12 complex valued components of wave function. ...##
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Concept of semi-velocity and related wave equation
[article]

2017
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arXiv
*
pre-print

A kinematical wave

arXiv:1712.08495v1
fatcat:w5zleedmafh7tfuwjtmjao2rky
*equation*related with the Fermat principle and the*concept*of the semi-velocity is derived. ... This*concept*leads to new kind of wave*equation*which can be interpreted as wave*equation*of the relativistic kinematics. The paper is presented by the following sections. ... Section 2 we introduce a*concept*of the semi-velocity and give its geometrical interpretation. ...##
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Generalized regularity and solution concepts for differential equations
[article]

2008
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arXiv
*
pre-print

As the title "Generalized regularity and solution

arXiv:0806.1451v1
fatcat:lw2xasfyqnee5ar5ei3sakzjpy
*concepts*for differential*equations*" suggests, the main topic of my thesis is the investigation of generalized solution*concepts*for differential*equations*... Another topic is the comparsion of Colombeau techniques for solving ordinary and partial differential*equations*to other generalized solution*concepts*, which has led to a joint article with G\"unther H ... As the title "Generalized regularity and solution*concepts*for differential*equations*" suggests, the main topic of my thesis is the investigation of generalized solution*concepts*for differential*equations*...##
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Solving systems of phaseless equations via Kaczmarz methods: A proof of concept study
[article]

2015
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arXiv
*
pre-print

We study the Kaczmarz methods for solving systems of quadratic

arXiv:1502.01822v3
fatcat:bsll64xe4nevhpe6wdyaz7wsqa
*equations*, i.e., the generalized phase retrieval problem. ... The methods extend the Kaczmarz methods for solving systems of linear*equations*by integrating a phase selection heuristic in each iteration and overall have the same per iteration computational complexity ... for solving a system of linear*equations*Ax = y. ...##
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Lax Integrability of the Modified Camassa-Holm Equation and the Concept of Peakons
[article]

2017
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arXiv
*
pre-print

In this Letter we propose that for Lax integrable nonlinear partial differential

arXiv:1610.06537v3
fatcat:3cjqe3shkrchblfpfd24omrol4
*equations*the natural*concept*of weak solutions is implied by the compatibility condition for the respective distributional ... We illustrate our proposal by comparing two*concepts*of weak solutions of the modified Camassa-Holm*equation*pointing out that in the peakon sector (a family of non-smooth solitons) only one of them, namely ... Lax integrability and the preservation of the H 1 norm The following theorem supports the idea of building the*concept*of weak solutions to (1) based on the multiplication formula (12) . ...##
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New concepts of Hahn calculus and impulsive Hahn difference equations

2016
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Advances in Difference Equations
*

In this paper, we introduce new

doi:10.1186/s13662-016-0982-4
fatcat:5yqxk34lurgbvfgyqrresfxixe
*concepts*of Hahn difference operator, the q k , ω k -Hahn difference operator. ... As applications, we establish existence and uniqueness results for first-and second-order impulsive q k , ω k -Hahn difference*equations*. ... The aim of this paper is to introduce new*concepts*of Hahn's difference operator, the q k , ω k -Hahn difference operator, to establish a calculus based on this operator and to construct the associated ...##
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An extension of the well-posedness concept for fractional differential equations of Caputo's type

2014
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Applicable Analysis
*

It is well known that, under standard assumptions, initial value problems for fractional ordinary differential

doi:10.1080/00036811.2013.872776
fatcat:6rzpsx3c2zav7pidprsbdbzlpa
*equations*involving Caputo-type derivatives are well posed in the sense that a unique solution ... Here we extend this well-posedness*concept*to the extent that we also allow the location of the starting point of the differential operator to be changed, and we prove that the solution depends on this ... Most notably, while the initial value problems discussed in Section 2 were equivalent to integral*equations*of Volterra's type, cf. eq. (6), the natural integral*equation*formulation of the terminal value ...##
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Point Equation, Line Equation, Plane Equation Etc And Point Solution, Line Solution, Plane Solution Etc. - Expanding Concepts Of Equation And Solution With Neutrosophy And Quad-Stage Method

2016
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Zenodo
*

The

doi:10.5281/zenodo.571573
fatcat:vl6n7mnfvzda7llvyomg72bh7a
*concepts*of*equations*and solutions are constantly developed and expanded. ... With Neutrosophy and Quad-stage method, this paper attempts to expand the*concepts*of*equations*and solutions in the way of referring to the*concepts*of domain of function, the geometry elements included ... into the*concepts*of point*equation*, line*equation*, plane*equation*, solid*equation*, sub-domain*equation*, whole-domain*equation*, and the like; and the*concept*of solution can be expanded into the*concepts*...
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