Foundations of Statistics with Python Data Analysis – Level 1.

Math & Python Textbook Series“Curiosity about mathematics,the foundation of everything in the AI era.” Level 1: From Central Tendencyand IQR to Correlation, Standard Scores, and Regression Lines…. Two free downloadable files : Hands-On Math with PythonEfficient learning with Colab note files linked to this book.Beginner-friendly Python code explained step-by-step.FilesStart Instantly in Your Browser—No Setup! ContentsChapter 1 What Is… Read More »

Math & Python – Level 3.

“Curiosity about mathematics,the foundation of everything in the AI era.” Level 3 : From number sequences to vectors,differentiation, and integration …. Two free downloadable files : Hands-On Math with PythonEfficient learning with Colab note files linked to this book.Beginner-friendly Python code explained step-by-step.FilesStart Instantly in Your Browser—No Setup! ContentsChapter 1 Exploring Lists of Numbers: SequencesChapter 2 A First… Read More »

Math & Python – Level 2.

Simultaneous learning : New Textbook.“Curiosity about mathematics,the foundation of everything in the AI era.” Level 2: From trigonometric functions to complexnumbers and higher-order equations …. Two free downloadable files : Hands-On Math with PythonEfficient learning with Colab note files linked to this book.Beginner-friendly Python code explained step-by-step.FilesStart Instantly in Your Browser—No Setup! ContentsChapter 1 Gateway to Level 2… Read More »

Math & Python – Level 1B

Simultaneous learning : New Textbook.“Curiosity about mathematics,the foundation of everything in the AI era.” Level 1B : “From square roots, quadratic functions,and spatial geometry to probability….” Two free downloadable files : Hands-On Math with PythonEfficient learning with Colab note files linked to this book.Beginner-friendly Python code explained step-by-step.FilesStart Instantly in Your Browser—No Setup! ContentsChapter 1 Python Basics Summary… Read More »

Math & Python – Level 1A

Simultaneous learning : New Textbook.“Curiosity about mathematics,the foundation of everything in the AI era.” Level 1A. : Introduction Python.From the world of integers to simultaneousequations and factorization…. Two free downloadable files : Hands-On Math with Python・Efficient learning with Colab note files linked to this book.・Beginner-friendly Python code explained step-by-step.FilesStart Instantly in Your Browser—No Setup! Table of ContentsChapter 1… Read More »

Math and Python Stage2

From quadratic and trigonometricfunctions to vectors and differentiation… Deepen Math with Python — Foundations“Curiosity about mathematics,the foundation of everything in the AI era.” Learn Math & Python Together on Colab!Free Downloadable Notebook file!FilesStart Instantly in Your Browser—No Setup! Download File : MP_Stage2_Colab.zip (English) Download File : MP_Stage2_Colab_Ja.zip (Japanese) Table of contentsChapter 1　Getting Started — Toward Mathematical Exploration1.1　How to… Read More »

Math and Python Stage1.

You can learn mathematics and Python (programming) simultaneously on Colab.Curiosity about mathmatics, the foundation of everything the AI era. You can download the book-linked learning files for use with Colab from here. Download file: ( Math & Python Stage 1. Chapter1~13 ) Download file: Japanese（日本語）ver. ( 数学 & Python Stage1. 1章～13章 ) CONTENTSChapter 1: Getting started with Python… Read More »

Step 7 – Hybrid Character DFT Linkv1.4 Validation Report

English Summary | Number-Theoretic Holography Toy Model Executive Summary This report evaluates a hybrid link combining Dirichlet characters with a discrete Fourier transform (DFT) applied to a prime-ledger signal. The originally observed -28σ to -42σ “arithmetic signal” does not survive as evidence of a non-trivial number-theoretic signature. After improved null models were introduced, the signal was decomposed into… Read More »

Number-Theoretic Holography Toy-Model SeriesResearch Project Summaries (Steps 3 to 6)

Four Main Findings Exact Equivalence of Quadratic Twists: Quadratic-twist pairs of CM elliptic curveswith the same CM type are majorization-equivalent, meaning their descending sortedspectra are identical to numerical precision. Furthermore, the majorization frameworkcleanly separates these from cubic twists. Incomparability of Distinct CM Types: All 24 pairs of CM curves with distinct CMtypes (such as Z[i], Z[ω], and D=-7)… Read More »

Number-Theoretic Holography Toy-Model SeriesResearch Project Summaries (Steps 3, 4, & 5)

Four Main Findings Exact Equivalence of Quadratic Twists: Quadratic-twist pairs of CM elliptic curveswith the same CM type are majorization-equivalent, meaning their descending sortedspectra are identical to numerical precision. Furthermore, the majorization frameworkcleanly separates these from cubic twists. Incomparability of Distinct CM Types: All 24 pairs of CM curves with distinct CMtypes (such as Z[i], Z[ω], and D=-7)… Read More »