scholarly journals Role of Graphs in Blending Physical and Mathematical Meaning of Partial Derivatives in the Context of the Heat Equation

2022 ◽  
Author(s):  
Sofie Van den Eynde ◽  
Martin Goedhart ◽  
Johan Deprez ◽  
Mieke De Cock
Keyword(s):  
Heat Equation ◽  
Mathematical Meaning ◽  
Partial Derivatives

scholarly journals q-CALCULUS AND THE DISCRETE INVERSE SCATTERING

1995 ◽  
Vol 10 (39) ◽  
pp. 3021-3032
Author(s):  
T. KARLO ◽  
H. JACOB ◽  
K.C. TRIPATHY
Keyword(s):  
Schrödinger Equation ◽  
Inverse Scattering ◽  
Spectral Measure ◽  
Schrodinger Equation ◽  
Deformation Parameter ◽  
One Dimension ◽  
Partial Derivatives ◽  
Lattice Space

The discrete inverse scattering in one dimension has been re-identified with lattice calculus. By transforming the deformation parameter, the coordinate and the partial derivatives from lattice space to q-space, the Schrödinger equation with a potential is systematically analyzed. The potential having explicit q-dependence is derived from the knowledge of the spectral measure. The role of q to generate simulation is also highlighted.

scholarly journals Numerical Solution of Parabolic Problems Based on a Weak Space-Time Formulation

2017 ◽  
Vol 17 (1) ◽  
pp. 65-84 ◽  
Author(s):  
Stig Larsson ◽  
Matteo Molteni
Keyword(s):  
Heat Equation ◽  
Numerical Experiments ◽  
Numerical Scheme ◽  
A Priori ◽  
Space Time ◽  
Parabolic Problems ◽  
Weak Space ◽  
Time Formulation ◽  
The Difference

AbstractWe investigate a weak space-time formulation of the heat equation and its use for the construction of a numerical scheme. The formulation is based on a known weak space-time formulation, with the difference that a pointwise component of the solution, which in other works is usually neglected, is now kept. We investigate the role of such a component by first using it to obtain a pointwise bound on the solution and then deploying it to construct a numerical scheme. The scheme obtained, besides being quasi-optimal in the ${L^{2}}$ sense, is also pointwise superconvergent in the temporal nodes. We prove a priori error estimates and we present numerical experiments to empirically support our findings.

Role of heat equation in lap joint for welding process

2017 ◽  
Author(s):  
P. Kumar ◽  
Rohit ◽  
Sooraj
Keyword(s):  
Heat Equation ◽  
Welding Process ◽  
Lap Joint

scholarly journals Derivation of Fundamental Solution of Heat Equation by using Symmetry Reduction

2020 ◽  
Vol 9 (5) ◽  
pp. 2239-2243
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Fundamental Solution ◽  
Heat Equation ◽  
Initial Conditions ◽  
Mathematical Physics ◽  
Heat Equations ◽  
Partial Differential ◽  
Partial Derivatives ◽  
Derivatives Of

The objective of this article is to present the fundamental solution of heat equation using symmetry of reduction which is associated with partial derivatives of heat equations through its initial conditions (ICs). To emphasize our main results, we also consider some important way of solving of partial differential equation. The main results of our paper are quite general in nature and yield a very large interesting fundamental solution of heat equation and it is used for problems of differential mathematics and mathematical physics special in the area of thermodynamics.

The role of concrete materials in constructing mathematical meaning

1997 ◽  
Vol 25 (3) ◽  
pp. 31-35 ◽  
Author(s):  
Effie Maclellan
Keyword(s):  
Mathematical Meaning ◽  
Concrete Materials

Role of dactinomycin in the improved survival of children with Wilms' tumor

JAMA ◽  
1966 ◽  
Vol 195 (12) ◽  
pp. 1005-1009 ◽  
Author(s):  
D. J. Fernbach
Keyword(s):  
Wilms Tumor

Role of the allergist in diagnosis and management of patients with uveitis

JAMA ◽  
1966 ◽  
Vol 195 (3) ◽  
pp. 167-172 ◽  
Author(s):  
T. E. Van Metre
Keyword(s):  
Diagnosis And Management

The power of norms to sway fused group members

2018 ◽  
Vol 41 ◽  
Author(s):  
Winnifred R. Louis ◽  
Craig McGarty ◽  
Emma F. Thomas ◽  
Catherine E. Amiot ◽  
Fathali M. Moghaddam
Keyword(s):  
Evolutionary Anthropology ◽  
Normative Systems ◽  
Violent Extremism ◽  
Identity Fusion ◽  
Group Members

AbstractWhitehouse adapts insights from evolutionary anthropology to interpret extreme self-sacrifice through the concept of identity fusion. The model neglects the role of normative systems in shaping behaviors, especially in relation to violent extremism. In peaceful groups, increasing fusion will actually decrease extremism. Groups collectively appraise threats and opportunities, actively debate action options, and rarely choose violence toward self or others.

Elaborating the role of reflection and individual differences in the study of folk-economic beliefs

2018 ◽  
Vol 41 ◽  
Author(s):  
Kevin Arceneaux
Keyword(s):  
Decision Making ◽  
Individual Differences ◽  
Cognitive Processes ◽  
Evolutionary History ◽  
Behavioral Responses ◽  
History Of ◽  
Economic Beliefs

AbstractIntuitions guide decision-making, and looking to the evolutionary history of humans illuminates why some behavioral responses are more intuitive than others. Yet a place remains for cognitive processes to second-guess intuitive responses – that is, to be reflective – and individual differences abound in automatic, intuitive processing as well.

The role of affect in feelings of obligation

2020 ◽  
Vol 43 ◽  
Author(s):  
Stefen Beeler-Duden ◽  
Meltem Yucel ◽  
Amrisha Vaish
Keyword(s):  
Positive Emotions ◽  
The Creation ◽  
Sense Of Obligation

Abstract Tomasello offers a compelling account of the emergence of humans’ sense of obligation. We suggest that more needs to be said about the role of affect in the creation of obligations. We also argue that positive emotions such as gratitude evolved to encourage individuals to fulfill cooperative obligations without the negative quality that Tomasello proposes is inherent in obligations.

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