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William M
Page 6 http://www.fourmilab.ch/etexts/einstein/specrel/www/ , please explain how we get (.5)(1/(c-v)+1/(c+v))dtau/dt=dtau/dx'+1/(c-v)dtau/dt?
In other words how do we justify the operation following the "hence, if x' be made infinitesimally small."
Also please how how to convert the above to dtau/dx'+ v/(c^2-v^2)dtau/dt=0
Thank you!
Mathematics3 months agoPDE Gradient Expression?
For the PDE A(Phi)= Phi(x)^2*Phi(xx) +2phi(x)phi(y)Phi(xy)+Phi(y)^2Phi(yy)
Show that A(Phi) =1/2grad((grad(Phi)^2))*grad(Phi), where grad is the gradient function, (x) and (xx) denote first and second derivatives (similar for y) grad^2 seems to denote the laplacian, and * seemingly denotes the dot product. Thank you!
1 AnswerMathematics10 months ago10 yrs. ago there were 7.5k workers in an industry, but now there are 4750. Failure rate now is .1. Use Weibull dist. to find year when 3000?
workers were in this industry. b) Five years ago how many workers were there. c) Five years ago what was the expected number of workers who would lose their jobs within the year?
3 AnswersMathematics6 years agoSolve ry''=[1+(y')^2]^(3/2) to get the form (x-a)^2+(y-b)^2=r^2 show steps. Thus show circle with rad. r alone has const. curvature 1/r.?
Attempted substation u for y' and trig substitution in separable equation. Got a more complicated differential equation back after returning to y'.
2 AnswersEngineering7 years ago