Search results for "Mathematical induction"

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IKT LIETOJUMA IESPĒJAS MATEMĀTIKAS MĀCĪŠANĀ SKOLĀ

2013

Elektroniskā versija nesatur pielikumus

Use of IT methodmethod of mathematical inductionsupport system for teachers of mathematicsFizika materiālzinātne matemātika un statistikaMatemātikaIT rīkimatemātiskās indukcijas metodeIT toolsatbalsta sistēma matemātikas skolotājiemMathematicsModernā elementārā matemātika un matemātikas didaktika
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2019

Abstract The aim of this work is to present a formulation to solve the one-dimensional Ising model using the elementary technique of mathematical induction. This formulation is physically clear and leads to the same partition function form as the transfer matrix method, which is a common subject in the introductory courses of statistical mechanics. In this way our formulation is a useful tool to complement the traditional more abstract transfer matrix method. The method can be straightforwardly generalised to other short-range chains, coupled chains and is also computationally friendly. These two approaches provide a more complete understanding of the system, and therefore our work can be o…

Work (thermodynamics)Computer science05 social sciences050301 educationGeneral Physics and AstronomyStatistical mechanicsPartition function (mathematics)01 natural sciencesTransfer matrixAlgebraTransfer-matrix method0103 physical sciencesMathematical inductionIsing model010306 general physics0503 educationComplement (set theory)European Journal of Physics
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