It is: 1. Compute a static, spherically symmetric solutionof the field equation. It will be singular at the origin. This will be taken tobe the field generated by a single particle. 2. Move the solution on atrajectory $ {\\psi(t)}$ and apply the instantaneous Lorentz transformationbased...
It is: (1) Compute a static, spherically symmetric solution of the field equation. It will be singular at the origin. This will be taken to be the field generated by a single particle. (2) Move the solution on a trajectory P and apply the instantaneous Lorentz transformation based on ...
It is shown that the Virasoro conditions and the trajectory equation in the dual resonance model can be derived from the Lagrange coordinate condition in the Nambu-Susskind string model. The proof is based on a causality requirement concerning the vibrational waves on the string and on a lagrangia...
Ffowcs Williams and Hawkings (1969) based their derivation of the fundamental equation of the sound generated by arbitrarily moving aerodynamic surfaces on the study of mass and momentum balance of a control volume imbedding a mathematical surface(s) exactly corresponding to real surface(s). These ...
An equation is derived expressing average turgor pressure of a leaf (ΨP) as a function of relative water content (RWC). Based on this derivation, the relationship of the bulk elastic modulus (εv) and both RWC and ΨP are formulated and discussed. The bulk elastic modulus (εv) becomes...
The usual derivation of this proceeds via the master equation of the discrete process and derives a Fokker-Planck equation for the stochastic perturbation, both of which are equations for the evolution of probability distributions. Here we present a derivation using stochastic difference equations for ...
Bernoulli’s principle formulated by Daniel Bernoulli states that as the speed of a moving fluid increases (liquid or gas), the pressure within the fluid decreases. Although Bernoulli deduced the law, it was Leonhard Euler who derived Bernoulli’s equation in its usual form in the year 1752....
It was possible to derive the locus equation of undulating spiral motion about any solar system body relative to any point on the earth and to complete computer simulation and analysis. The result indicated that the trajectory about the sun and the moon relative to any point on the earth was...
Therefore, the dimensional formula of force = M¹L¹T⁻²M¹L¹T⁻² . . . . (iii) On substituting equation (ii) and (iii) in equation (i) we get, Stress = Force × AreaArea⁻¹ Or, Stress = M¹L¹T⁻²M¹L¹T⁻² × [M0L ² T0]⁻¹ ...
The Derivation of "Logistic-shaped" Discovery Posted by nate hagens on June 26, 2008 - 10:00am This is a guest post from WebHubbleTelescope. The post addresses the origins and relevance (or lack thereof) of the logistic equation as it is commonly used in projecting/modeling oil production...