Questions tagged [equation]

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Solve a system of algebraic equations

I'd like to determine whether there exist $\beta>0$, $A_i(i=1,\cdots,5)$, $B_i(i=1,\cdots,4)$, $C_i(i=1,\cdots,3)$, $D_i(i=1,2)$, and $G_1\in\mathbb{R}$,such that these parameters satisfy the ...
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Recurrence equation: T(n) = 2T(n − 1) + (lg n)T([lg n]) + 1 [migrated]

I have this recurrence equation: T(n) = 2T(n − 1) + (lg n)T([lg n]) + 1 that I can't approach with the Master theorem. I have no clue what to plug in and I doubt that induction would work. Any ideas?
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Solve coupled equations in the steady state

I want to solve 16 coupled differential equations in the steady state. Among the answers, I only require two of the answers. But the Mathematica does not show me the answers in detail!!! Can anybody ...
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How do you turn this statement into a Mathematica formula?

I'm reading a book on Nucleosynthesis. It has this formula for the number density of a species:$$n_i=g_i\space e^{\mu_i/T}\int\frac{d^3p}{(2\pi)^3}e^{-E_1/T}$$I don't recognize this notation. How do ...