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mukul54 / big-bang-claude-gr.md
Last active July 8, 2025 21:27
big-bang-claude-gr

The key is applying Einstein's field equations to a homogeneous, isotropic universe.

Starting Point: Einstein Field Equations

The foundation is Einstein's field equation:

$$R_{\mu\nu} - \frac{1}{2}Rg_{\mu\nu} + \Lambda g_{\mu\nu} = \frac{8\pi G}{c^4}T_{\mu\nu}$$

Where:

  • $R_{\mu\nu}$ is the Ricci curvature tensor
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mukul54 / pyspark_array_function.md
Created January 14, 2023 19:29
pyspark_array_function
ARRAY FUNCTION SYNTAX ARRAY FUNCTION DESCRIPTION
array_contains(column: Column, value: Any) Check if a value presents in an array column. Return below values.true - Returns if value presents in an array.false - When valu eno presents