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1d
revised Question on Inductive Proof of Implicit Function Theorem
added 21 characters in body
1d
asked Question on Inductive Proof of Implicit Function Theorem
2d
accepted Plotting the intersection of multiple surfaces with WolframAlpha
2d
revised Plotting the intersection of multiple surfaces with WolframAlpha
edited tags
2d
asked Plotting the intersection of multiple surfaces with WolframAlpha
Jul
7
comment Choosing the sign of the separation constant for a vibrating string
Or with some algebra, the equation $T'' = \lambda T$ has the solution $T(t) = Aexp(\lambda t)$, now consider the solution of $y'' - \frac{\lambda}{c^2} y = 0$, it has the general form $y(x) = Bexp(\sqrt{\lambda/c^2} x)$. In the product $T(t)y(x)$, if $\lambda > 0$, then $T(t)$ would be monotonically growing, and regardless what constants we choose for the solution of $y(x)$, assuming $c^2 \ge 1$, we can not ''compensate'' this growing in the product $T(t)y(x)$, so the solution would be growing, but a string that bends infinitely long without never coming back isn't plausible.
Jul
5
asked Deriving lower bound for eigenvalues of laplace operator
Jul
5
asked Show that $L[v^2] := \Delta(v^2) + \frac{2}{w} \sum_{i=1}^n w_{x_i} (v^2)_{x_i} \ge 0$
Jul
5
accepted Question on derivation of vector identites and using some symbolic manipulations
Jul
5
asked Question on derivation of vector identites and using some symbolic manipulations
Jul
5
comment Smallest Congruence Relation generated by a set
thanks for adding, gives a different view!
Jul
2
awarded  Socratic
Jul
2
awarded  Curious
Jul
2
awarded  Inquisitive
Jun
30
accepted Evaluate integral $\int\int xe^{xy} dx dy$, strange result after rearranging
Jun
30
comment Evaluate integral $\int\int xe^{xy} dx dy$, strange result after rearranging
Thank you. Do you also see why my way (first $x$, then $y$) gives a nonsense result? Because I am wondering in mathematics several ways should lead to the same result if done correctly...
Jun
30
asked Evaluate integral $\int\int xe^{xy} dx dy$, strange result after rearranging
Jun
30
asked Calculate area enclosed by curve
Jun
29
accepted Verification of Stokes Theorem
Jun
29
asked Verification of Stokes Theorem