math-time-series

Analyze time-series data to extract trends, seasonality, and changepoints.

2|Updated May 26, 2026
One-click install
npx skills add https://github.com/r-irbe/proof-skills --skill math-time-series
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: math-time-series
Source: https://github.com/r-irbe/proof-skills/tree/main/skills/math-time-series
Command: npx skills add https://github.com/r-irbe/proof-skills --skill math-time-series

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

Time-series analysis and temporal mathematics for analyzing evolving signals, detecting patterns, and modeling dynamics in real-valued data.

Core Features & Use Cases

  • Autocorrelation, spectral and wavelet analyses for stationary and non-stationary signals.
  • Change-point detection, multi-scale methods, and trajectory computation for practical applications across engineering and science.
  • Reference materials and handbooks are loaded from the provided references for deeper guidance.

Quick Start

Provide a time-series dataset or question to begin analysis, with the mathematical handbook loaded for reference.

Frequently Asked Questions about math-time-series

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I detect changepoints and seasonality in time-series data?

Spectral analysis decomposes time-series data into frequency components to identify periodic patterns and non-stationary signals. This Skill performs wavelet and autocorrelation analyses, extracting temporal dynamics from real-valued data for rigorous mathematical reasoning across scientific applications.

Can I analyze multivariate time-series signals for trajectory computation?

Spectral analysis decomposes time-series data into frequency components to identify periodic patterns and non-stationary signals. This Skill performs wavelet and autocorrelation analyses, extracting temporal dynamics from real-valued data for rigorous mathematical reasoning across scientific applications.

What is the best way to perform wavelet analysis on non-stationary signals?

Wavelet analysis on non-stationary signals is performed using multi-scale methods to capture evolving frequency characteristics over time. This Skill applies wavelet transforms alongside autocorrelation and spectral techniques, extracting temporal dynamics from real-valued data across physics and engineering contexts.

Does this time-series analysis approach work for finance and social science data?

Spectral analysis decomposes time-series data into frequency components to identify periodic patterns and non-stationary signals. This Skill performs wavelet and autocorrelation analyses, extracting temporal dynamics from real-valued data for rigorous mathematical reasoning across scientific applications.

How do I estimate derivatives and compute trajectories from temporal data?

Spectral analysis decomposes time-series data into frequency components to identify periodic patterns and non-stationary signals. This Skill performs wavelet and autocorrelation analyses, extracting temporal dynamics from real-valued data for rigorous mathematical reasoning across scientific applications.

When should I use multi-scale methods for time-series analysis?

Spectral analysis decomposes time-series data into frequency components to identify periodic patterns and non-stationary signals. This Skill performs wavelet and autocorrelation analyses, extracting temporal dynamics from real-valued data for rigorous mathematical reasoning across scientific applications.