... of Mathematics), Li investigated the standard magnetic-channelled flow, and found a solution to the Bernoulli integral ... New calculations of free-free transition matrix element integrals are performed by Sutherland using modern symbolic computing ...
... j i = (v u u v + u v v u) 7 The Laplacean 2 2 = + + = ------------- 2 2 2 xi xi x1 x2 x3 Cartesian Tensors 2 2 2 (41) 11/13 8 Tensor Integrals 8.1 Green's Theorem n i V S In dyadic form: V ( u ) dV = S ( u n ) dS (42) In tensor form: V u i dV = xi S u ...
... is the most common mistake that young researchers make: they get bogged down in some horribly mathematical detailed calculation, full of nasty integrals and messy algebra, and in the end discover that the effect they are computing is 1027 too small to be ...
... Integral is calculated histogram-style - that is, each data 2013 points represents a ... The integral will only be of those pixels which are 2024 unmasked in the full three ...
... v u u v + u v v u )i The Laplacean 2 = Cartesian tensors (45) 2 + + = --------------2 2 2 xi xi x1 x2 x3 2 2 2 (46) 32/35 7 Tensor Integrals 7.1 Green's Theorem In dyadic form: v ni V S V ( v ) dV = S ( v n ) dS (47) In tensor form: V v i dV = xi S v ...