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WeinGarten-Equation-r-u-r-u-E-r-u-r-v-F-r-v-r-v-G-N-N-1-N-N-u-N-u-N-N-N-u-0-N-N-v-N-v-N-N-N-v-0-N-N-0-N-N-N

Question Number 225768 by Lara2440 last updated on 09/Nov/25 $$\mathrm{WeinGarten}\:\mathrm{Equation} \\ $$$$\:\boldsymbol{\mathrm{r}}_{{u}} \centerdot\boldsymbol{\mathrm{r}}_{{u}} ={E}\:,\:\boldsymbol{\mathrm{r}}_{{u}} \centerdot\boldsymbol{\mathrm{r}}_{{v}} ={F}\:,\:\boldsymbol{\mathrm{r}}_{{v}} \centerdot\boldsymbol{\mathrm{r}}_{{v}} ={G} \\ $$$$\hat {\boldsymbol{\mathrm{N}}}\centerdot\hat {\boldsymbol{\mathrm{N}}}=\mathrm{1} \\ $$$$\frac{\partial\left(\hat {\boldsymbol{\mathrm{N}}}\centerdot\hat…

Question-225740

Question Number 225740 by fantastic last updated on 08/Nov/25 Answered by fantastic last updated on 08/Nov/25 $$\gamma=\mathrm{sin}^{−\mathrm{1}} \left(\frac{{r}}{\mathrm{1}−{r}}\right) \\ $$$$\alpha=\mathrm{cos}^{−\mathrm{1}} \left(\frac{\mathrm{1}−\mathrm{3}{r}}{\mathrm{1}−{r}}\right) \\ $$$$\beta=\mathrm{sin}^{−\mathrm{1}} \left(\frac{\mathrm{1}−\mathrm{2}{r}}{\mathrm{1}}\right) \\…

0-pi-2-e-ipix-dx-

Question Number 225652 by fantastic last updated on 05/Nov/25 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {e}^{{i}\pi{x}} \:{dx} \\ $$ Answered by mahdipoor last updated on 05/Nov/25 $$\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{ae}^{\mathrm{i}\pi\mathrm{x}} \right)=\left(\mathrm{i}\pi\mathrm{a}\right)\mathrm{e}^{\mathrm{i}\pi\mathrm{x}} =\mathrm{e}^{\mathrm{i}\pi\mathrm{x}}…

quick-short-Q-2-things-are-mixed-1-both-same-volume-2-both-same-mass-density-d-v-and-d-m-d-v-d-m-lt-or-gt-

Question Number 225625 by fantastic last updated on 04/Nov/25 $${quick}\:{short}\:{Q} \\ $$$$\mathrm{2}\:{things}\:{are}\:{mixed}\: \\ $$$$\left.\mathrm{1}\right){both}\:{same}\:{volume} \\ $$$$\left.\mathrm{2}\right){both}\:{same}\:{mass} \\ $$$${density}\Rightarrow{d}_{{v}} \:{and}\:{d}_{{m}} \\ $$$${d}_{{v}} \:?\:{d}_{{m}} \left[=,<\:{or}>\right] \\ $$…