This law is of fundamental importance in the study of incompressible fluid equations, such as the Euler equations since on applying the curl operator one obtains the vorticity equation and then by substituting (1) one gets an autonomous equation for the vorticity field . Unfortunately, this equ...
In particular, the determinant does indeed come very close to vanishing when , which is unsurprising since, as explained on the web site, the online flight calculator uses a model in which the Earth is an ellipsoid of radii close to km. There is another radius that would also be compatible...
Learn more about this topic: Finding the Determinant of a Matrix | Properties, Rules & Formula from Chapter 2/ Lesson 2 103K Explore the determinant of a matrix, which is widely used in linear algebra. Understand how to find the determinant of a matrix with determi...
in the Northeast last year for being too white, too Christian, too male — was surveying the people we know who are trying, however ineffectively to fight the good culture war and said “The kids are confused, mal-educated, not very well read, but full of fight and vigor. And...
While the ball does indeed bounce an infinite number of times, with the bounces getting smaller and smaller in height, that doesn’t mean it keeps bouncing forever. The bounces get smaller and smaller not only in height, but also in duration, and the sum of their durations converges to a...
Substitutional:There exists aninstanceof astatementhaving the generalformP(x), obtained bysubstitutingsomename, term or expressionetc for x, that istrue. In the former, the emphasis is placed onobjects and their possession of properties, in the latter, the emphasis is placed onstatement forms an...
What makes binary so special is that almost all computations done in computer hardware is represented by binary values. It is gives rise to Boolean Algebra and the properties of Logic such as True and False statements. So here we can represent a...
Mini-Course: Computer Algebra for Physicists, is a course that can be used as a tutorial, with 10 sections to be covered in 5 hands-on guided experiences of 2 hours each. The first part, 5 sections, is about Maple 101, while the remaining 5 sections is all about using the Physics pac...
and S' has velocity (a,0), all given in S, then the gamma for this ball in S' (that is (a,b) - (a,0) relativistically, non-colinear) is: √(1-a2)/√(1-a2-b2) This is just algebra (and elemantary trig) from my formula. Note, it is in agreement with Pet...
and substituting this into the second equation yields and thus (assuming that is invertible) and then inserting this back into (1) gives Comparing this with we have managed to express the inverse of as One can consider the inverse problem: given the inverse of , does one have a nic...