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S-x-y-z-R-3-x-2-y-2-z-2-r-2-Find-Geodesic-equation-d-dt-dx-i-dt-jk-i-dx-j-dt-dx-k-dt-0-jk-i-g-il-g-kl-x-j-g-jl-x-k-g-jk-x-l-

Question Number 224938 by fkwow344 last updated on 13/Oct/25 $$\mathcal{S};\left({x},{y},{z}\right)\in\mathbb{R}^{\mathrm{3}} \mid{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$$\mathrm{Find}\:\mathrm{Geodesic}\:\mathrm{equation} \\ $$$$\frac{\mathrm{d}\:\:}{\mathrm{d}{t}}\centerdot\frac{\mathrm{d}{x}^{{i}} }{\mathrm{d}{t}}+\Gamma_{{jk}} ^{{i}} \frac{\mathrm{d}{x}^{{j}} }{\mathrm{d}{t}}\centerdot\frac{\mathrm{d}{x}^{{k}} }{\mathrm{d}{t}}=\mathrm{0}\:\:,\:\:\Gamma_{{jk}} ^{{i}} =\mathrm{g}^{{il}}…

T-x-y-R-2-R-T-x-y-x-a-2-y-b-2-K-x-y-4-a-2-b-2-1-4x-2-a-4-4y-2-b-4-2-S-dr-2-K-S-sheprical-coordinate-and-associate-with-Euler-characteristic-T-

Question Number 224919 by fkwow344 last updated on 12/Oct/25 $${T}\left({x},{y}\right);\mathbb{R}^{\mathrm{2}} \rightarrow\mathbb{R}\:,\:\:{T}\left({x},{y}\right)=\left(\frac{{x}}{{a}}\right)^{\mathrm{2}} +\left(\frac{{y}}{{b}}\right)^{\mathrm{2}} \\ $$$${K}\left({x},{y}\right)=\frac{\mathrm{4}}{{a}^{\mathrm{2}} {b}^{\mathrm{2}} \left(\mathrm{1}+\frac{\mathrm{4}{x}^{\mathrm{2}} }{{a}^{\mathrm{4}} }+\frac{\mathrm{4}{y}^{\mathrm{2}} }{{b}^{\mathrm{4}} }\right)^{\mathrm{2}} } \\ $$$$\int_{\:\mathcal{S}} \mathrm{d}\boldsymbol{\mathrm{r}}^{\mathrm{2}} {K}=?…

Hello-Everyone-We-recently-did-an-update-that-cause-view-older-button-to-be-partially-hidden-behind-the-navigation-button-We-will-release-an-update-soon-workaround-Tap-sign-at-top-of-screen-to-op

Question Number 224908 by Tinku Tara last updated on 11/Oct/25 $$\mathrm{Hello}\:\mathrm{Everyone} \\ $$$$\mathrm{We}\:\mathrm{recently}\:\mathrm{did}\:\mathrm{an}\:\mathrm{update}\:\mathrm{that} \\ $$$$\mathrm{cause}\:\mathrm{view}\:\mathrm{older}\:\mathrm{button}\:\mathrm{to}\:\mathrm{be}\:\mathrm{partially} \\ $$$$\mathrm{hidden}\:\mathrm{behind}\:\mathrm{the}\:\mathrm{navigation}\:\mathrm{button}. \\ $$$$\mathrm{We}\:\mathrm{will}\:\mathrm{release}\:\mathrm{an}\:\mathrm{update}\:\mathrm{soon}. \\ $$$$ \\ $$$$\boldsymbol{\mathrm{workaround}} \\ $$$$\mathrm{Tap}\:+\:\mathrm{sign}\:\mathrm{at}\:\mathrm{top}\:\mathrm{of}\:\mathrm{screen}\:\mathrm{to}\:\mathrm{open}…

Let-B-x-y-z-R-3-x-2-y-2-z-2-1-and-define-u-x-y-z-sin-1-x-2-y-2-z-2-2-for-x-y-z-B-Then-the-value-of-B-2-u-x-2-2-u-x-2-2-u-z-2-dxdydz-is-

Question Number 224907 by fantastic last updated on 11/Oct/25 $${Let}\:{B}=\left\{\left({x},{y},{z}\right)\in\mathbb{R}^{\mathrm{3}} :{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} \leqslant\mathrm{1}\right\} \\ $$$${and}\:{define}\:{u}\left({x},{y},{z}\right)=\mathrm{sin}\:\left(\left(\mathrm{1}−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} −{z}^{\mathrm{2}} \right)^{\mathrm{2}} \right) \\ $$$${for}\:\left({x},{y},{z}\right)\in{B}. \\ $$$${Then}\:{the}\:{value}\:{of} \\…

Question-224896

Question Number 224896 by mr W last updated on 11/Oct/25 Commented by mr W last updated on 11/Oct/25 $${Tinku}\:{Tara}\:{sir}: \\ $$$${please}\:{check}\:{following}\:{issues}: \\ $$$$\left.\mathrm{1}\right)\:{the}\:{status}\:{bar}\:{is}\:{not}\:{visible} \\ $$$$\left.\mathrm{2}\right)\:{sometimes}\:{the}\:“{VIEW}\:{OLDER}''…