2011年1月5日 · But this inverse matrix has sin, cos terms etc. I was hoping if someone could give me the jacobian matrix for cartesian to spherical directly using: the functions of the cartesian …

2013年8月24日 · Suppose you want to find a volume (or area) by integrating, and everything is already in spherical coordinates … you still need to use the jacobian (instead of just drdθdφ) …

2021年12月14日 · Greetings! here is the solution which I undertand very well: my question is: if we go the spherical coordinates shouldn't we use the jacobian r^2*sinv? thank you!

2013年2月23日 · since the jacobian is generally defined locally, you can certainly attach a cotangent space to the points of the submanifold in place of the tangent space. in this case, …

2020年8月6日 · The relation does not hold in general. For example, with plane polar coordinates we have and Rather, if that relation does hold then it implies that is independent of so that .

2019年12月8日 · The only example problems up to this point involved computing Jacobians to make a change of variables in multiple integrals. A basic example of such a transformation …

2016年10月23日 · But the Jacobian still looks very messy. Maybe someone else can help here. For (b), the question assumes that the physical quantity depends on and only through the …

2024年3月12日 · So I've been trying to figure out how to find the surface area Jacobians in spherical coordinates (I know how to use it to find the volume Jacobian). Using...

2016年3月4日 · Argue that . (Hint: Taylor expand .) (b) The sixteen quantities are referred to as the Jacobian matrix; we will require this matrix to be invertible. Show that the inverse of this …

2016年4月23日 · I used this formula for the Jacobian of the transformation from Spherical to Cartesian coordinates for the unit-sphere: associated with the following transformation from …