func f'(t) = df over dt = lim from {h toward 0} {{func f(t+h)-func f(t)} over h}
You expect volunteers to go look for them? I won't. You are more likely to get that answered if you provide (PNG image here) those equations.beta wrote:as a further query … how would you tackle the equations from the chapter headings 7) and 11) from the book "17 equations that changed the world"
explain that please...(PNG image here)
Some of the equations in your attached picture are wrong! In the definition of a deriviative (3), the second equal sign should be removed. In the normal distribution the square root should not extend over the standard deviation. And the exponent is missing a negative sign. If a mathematician is writing the article, there is little excuse for errors like that and if not, Ian Stewart should have consulted with one or at least checked in standard reference books. In Maxwell's equations, terms are missing unless the charge density and current density are both zero. I've fixed the problems in 7 and 11. I didn't check the rest. What a mess!beta wrote:any suggestions are most welcome
%PHI(x)=1 over {sqrt{2 %pi} ` %sigma} e^-{{(x-%mu)^2} over {2 %sigma^2}}
newline newline
matrix {alignl nabla cdot bold E = 4 %pi %rho # alignl nabla cdot bold B = 0 ##
nabla times bold E = - {1 over c} {{partial bold B} over {partial t}} #
nabla times bold B =
{1 over c} (4 %pi bold J + {{partial bold E} over {partial t}})
}
For both: delete every occurence of "size 16".beta wrote:1) how do [I] space the dot between " v cdot size 16 nabla " , like it is for the second " size 16 nabla cdot T "
2) can [I] remove the gaps between " nabla v " , and also " nabla %rho ", since they're meant to represent gradient, and should't have gaps
png was too large so have converted to jpg and hope the resolution is okay.
%rho left ( nospace{{partial v} over {partial t} + v ~ cdot {size*1.4 %nabla v}} right ) = nospace{size*1.4 {"-"%nabla}%rho + size*1.4 %nabla cdot T+f}
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