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An arbitrary vector field $V_a(\mathbf{x})$ can then be expanded as \begin{equation} V_a(\mathbf{x}) = \int \frac{d^3k}{(2\pi)^3} \left...
Atomix XL v4 Lightning
Creation Summary by Vincent
Vector Field Expansion in Physics
This image illustrates the mathematical expansion of an arbitrary vector field using Fourier coefficients and integral formulas, fundamental in physics and applied mathematics.
Created by Boris Krumov on Nov 1, 2025 using the Atomix XL v4 Lightning AI image generator model.
Creation Settings
- Text Prompts
- An arbitrary vector field $V_a(\mathbf{x})$ can then be expanded as \begin{equation} V_a(\mathbf{x}) = \int \frac{d^3k}{(2\pi)^3} \left[ \tilde V^L(\mathbf{k}) \Psi^{L,\mathbf{k}}_a(\mathbf{x}) + \tilde V^1(\mathbf{k}) \Psi^{1,\mathbf{k}}_a(\mathbf{x}) + \tilde V^2(\mathbf{k}) \Psi^{2,\mathbf{k}}_a(\mathbf{x}) ...Weight: 1
- Model
- Initial Resolution
Medium
- Aspect Ratio
1:1
- Runtime
Long
- Overall Prompt Weight
100%
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