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- _{t_{1}}^{t_{2}}dt\int _{V}{\mathfrak {L}}({x^{\mu }},{x^{\mu }}_{,\alpha },q^{\alpha })dV=\int _{\tau }{\mathfrak {L}}({x^{\mu }},{x^{\mu }}_{,\alpha },q^{\alpha })d^{n}x^{i}d(ct)=\int…22 KB (4116 słów) - 14:30, 31 lip 2023
- {p}}_{mech}^{\mu }+{\mathfrak {p}}_{o}^{\mu })=-{T^{\mu j}}_{,j}-{T_{z}^{\mu \nu }}_{,\nu }\Rightarrow {{\partial } \over {\partial t}}({\mathfrak {p}}_{mech}^{\mu…19 KB (3024 słowa) - 14:34, 31 lip 2023
- J^{\mu }A_{\mu }-{{1} \over {4\mu _{0}}}F_{\mu \nu }F^{\mu \nu }=\mp \rho _{0}c^{2}u^{\mu }u_{\mu }\mp J^{\mu }A_{\mu }-{{1} \over {4\mu _{0}}}F_{\mu \nu…53 KB (11 081 słów) - 13:50, 31 lip 2023
- {\displaystyle T^{\mu }={\begin{bmatrix}T_{t}\\{\vec {T}}\end{bmatrix}}=[T_{t},T_{x},T_{y},T_{z}]^{T}\wedge T_{\mu }=T^{\nu }\eta _{\mu \nu }={\begin{bmatrix}\pm…47 KB (8558 słów) - 14:08, 20 gru 2023
- {X}}^{\mu }={{\overline {\Lambda }}^{\mu }}_{\nu }X^{\nu }\wedge {\overline {X}}_{\mu }={\Lambda ^{\nu }}_{\mu }X_{\nu }\Rightarrow X^{\mu }={\Lambda ^{\mu }}_{\nu…42 KB (6090 słów) - 21:47, 12 lip 2023
- A^{\mu }J_{\mu }=\mp J^{\mu }A_{\mu }=\mp {{1} \over {2}}\left(A^{\mu }J_{\mu }+J^{\mu }A_{\mu }\right)=\mp \left[rA^{\mu }J_{\mu }+(1-r)J^{\mu }A_{\mu }\right]=\mp…48 KB (9568 słów) - 14:41, 31 lip 2023
- {p}}d\Sigma {\vec {n}}\Rightarrow {\vec {n}}^{\mu }=[n^{\mu 0},n^{\mu 1},n^{\mu 2},n^{\mu 3},...,n^{\mu m}]=n^{\mu \nu }\;} (40.39) gdzie w (40.39) jest to…30 KB (5056 słów) - 14:27, 31 lip 2023
- }}_{s}^{'}(s,x^{\mu },u^{\mu })ds+{f^{\nu }}_{x^{\mu }}^{'}(s,x^{\mu },u^{\mu })dx^{\mu }+{{f^{\nu }}^{'}}_{u^{\mu }}(s,x^{\mu },u^{\mu })du^{\mu }\Rightarrow…21 KB (4174 słowa) - 13:45, 31 lip 2023
- _{V\rightarrow 0}\int _{V}\left(-{T_{k}^{\mu j}}_{,j}+f_{z}^{\mu }\right)dV=\lim _{V\rightarrow 0}\int _{V}\left(-\rho _{0}c^{2}u^{\mu }u^{i}\right)_{,i}dV-\lim _{V\rightarrow…7 KB (1428 słów) - 14:20, 31 lip 2023
- dm_{0}c{{du^{\mu }} \over {ds}}=dK^{\mu }\Rightarrow dm_{0}c{{d\left(e_{\mu }u^{\mu }\right)} \over {ds}}=e_{\mu }dK^{\mu }\Rightarrow dm_{0}c{u^{\mu }}_{;\nu…24 KB (3696 słów) - 14:23, 31 lip 2023
- cv^{\mu }+p\gamma ^{2}{{v^{\mu }} \over {c}}\right)\mp p\eta ^{\mu 0}\right]dV={{d} \over {dt}}\lim _{V\rightarrow 0}\int _{V}\left(\rho v^{\mu }\right)dV+{{d}…14 KB (3031 słów) - 14:18, 31 lip 2023
- p ) u μ u ν ∓ η μ ν p {\displaystyle T_{k}^{\mu \nu }=(\rho _{0}c^{2}+p)u^{\mu }u^{\nu }\mp \eta ^{\mu \nu }p} (36.1) Tensor gęstości energii(masy)-pędu…33 KB (6062 słowa) - 14:13, 31 lip 2023
- u ν {\displaystyle {\overline {u}}^{\mu }={{d{\overline {x}}^{\mu }} \over {ds}}={{\partial {\overline {x}}^{\mu }} \over {\partial x^{\nu }}}{{dx^{\nu…24 KB (3697 słów) - 21:53, 12 lip 2023
- 0=Z^{\mu }\eta _{\mu \nu }\delta x^{\nu }=\left(m_{0}c{{du^{\mu }} \over {ds}}-K^{\mu }\right)\eta _{\mu \nu }\delta x^{\nu }\Rightarrow \left({{dp^{\mu }}…33 KB (6574 słowa) - 13:49, 31 lip 2023
- _{0}c^{2}=-\rho _{0}c^{2}u^{\dot {\mu }}u_{\dot {\mu }}=-\left[{{1} \over {2}}\left(\rho _{0}c^{2}+p\right)u^{\dot {\mu }}\eta _{{\dot {\mu }}{\dot {\nu }}}u^{\dot…10 KB (1706 słów) - 14:36, 31 lip 2023
- ^{\mu }(\partial _{\mu }\psi ){\overline {\psi }}-{{i\hbar c} \over {2}}\gamma ^{\mu }(\partial _{\mu }{\overline {\psi }})\psi -cq\gamma ^{\mu }A_{\mu }{\overline…16 KB (2876 słów) - 12:35, 26 gru 2023
- {\displaystyle {{\partial J^{\mu }} \over {\partial x^{\mu }}}=0{\mbox{ lub }}\partial _{\mu }J^{\mu }=0{\mbox{ lub }}{J^{\mu }}_{,\mu }=0\;} (26.8) Będziemy…54 KB (9190 słów) - 21:22, 8 sie 2023
- d^{4}x\left[-{{1} \over {4\mu _{0}}}F_{\mu \nu }F^{\mu \nu }\mp J^{\mu }A_{\mu }\right]=\int d^{4}x\left[-{{1} \over {4\mu _{0}}}F^{\mu \nu }\delta F_{\mu \nu }-{{1}…15 KB (3016 słów) - 21:26, 8 sie 2023
- {\displaystyle \partial _{\mu }\left(-{{i\hbar c} \over {2}}\gamma ^{\mu }\psi \right)-{{i\hbar c} \over {2}}\gamma ^{\mu }\partial _{\mu }\psi +m_{0}c^{2}\psi…26 KB (4554 słowa) - 12:33, 26 gru 2023
- }={{{\overline {K}}^{\mu }} \over {n}}\left({{1} \over {0}}+c\delta (0)\right)\left(\sum _{\mu }u^{\mu }\right)\Rightarrow 0=\sum _{\mu }u^{\mu }\;} (15.29) Czyli…43 KB (8611 słów) - 21:16, 12 lip 2023