There and Back Again A Zettelkasten for Eigenscribe Inc

Glossary Glossary

First-Principles Reasoning.

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A method of reasoning in which claims, hypotheses, models, or systems are explicitly decomposed into their most fundamental, independently verifiable assumptions, and conclusions are derived via transparent, stepwise inference based on those assumptions. This helps ensure the fidelity of the reasoning process and that conclusions are traceable and reproducible by the reader.

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Numerical Integration.

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Methods for approximating definite integrals.

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Poisson Bracket.

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The Poisson bracket provides a fundamental operation in Hamiltonian mechanics and symplectic geometry. Specifically, it tells you how an observable \(A\) changes due to some other observable \(B\) acting as a generator.

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Power Spectral Density.

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A power spectral density is a function \(S_{xx}(f)\) describing how the power of a signal is distributed over frequency \(f\text{.}\)

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Regression Methods.

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Methods for fitting models to data.

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Root-Finding Algorithms.

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Methods for solving equations of the form \(f(x) = 0\text{.}\)

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Support.

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The support of a function \(f: X\rightarrow \mathbb{R}\) is the subset of its domain \(X\) on which the function is nonzero.

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\begin{equation*} \operatorname{supp}(f) = \{x \in X : f(x)\neq 0\}. \end{equation*}