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[sin]
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- Number space translation
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- Collection of 939 two-dimensional mathematical curves
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Mathematics for Computer Science
- MIT OpenCourseWare 2024
- Mathematics for Computer Science PDF Book
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An Infinitely Large Napkin is a light and mostly self-contained introduction to higher math, roughly ranging from the undergraduate syllabus to first-year graduate topics. The Napkin provides a general bird’s-eye views of main ideas of fields and what makes them cool or interesting. It’s less detailed than a real textbook but more precise than pop-math books and assumes proof experience.
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In order to accelerate the development of prospective mathematical scientists, we have selected a series of textbooks one can study to reach expertise in mathematics and physics in the most efficient manner possible. Readers should aim to cover the stated curriculum in its entirety over the course of two to three years (but it will realistically take longer as you adapt to reading mathematics); it is comprehensive and essentially self-contained.
- Linear Algebra (Foundation!)
- Mechanics
- Theory of Fields
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Six Math Essentials pro-order oct 2026 Author: Terence Tao
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The most counterintuitive facts in all of mathematics, computer science, and physics
- AMAZING! list of very interesting contradictions and facts
- It is possible to compute over encrypted data without access to the secret key: https://en.wikipedia.org/wiki/Homomorphic_encryption
- It is possible to play poker by telephone in a trusted way which prevents cheating: http://math.stonybrook.edu/~scott/blair/How_play_poker.html
- Closing roads can improve everyone’s commute time: https://mindyourdecisions.com/blog/2009/01/06/why-the-secret-to-speedier-highways-might-be-closing-some-roads-the-braess-paradox/#.U4Ksl_ldUud
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- Linear: having to do with lines, planes, etc.
- Algebra: solving equations involving unknowns.
- This text is roughly half computational and half conceptual in nature.
- Most engineering problems, no matter how complicated, can be reduced to linear algebra
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Introduction to Linear Algebra
- Vectors
- Matrices
- Linear Transformations
- Vector Spaces
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The Little Book of Linear Algebra
- numpy examples
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- Beautiful web/book illustrating mathematical and computing set constructs and terminology.
- Category THeory Illustrated: sets
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I am not a fan of p-values and null hypothesis significance testing (NHST).
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- Elephant with quadratics
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Discovering Statistics Using IBM SPSS Statistics Andy Field
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With an exciting new look, new characters to meet, and its unique combination of humour and step-by-step instruction, this award-winning book is the statistics lifesaver for everyone. From initial theory through to regression, factor analysis and multilevel modelling, Andy Field animates statistics and SPSS software with his famously bizarre examples and activities.
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using SPSS to illustrate important statistical material and, through graphics, to make visible important approaches to data analysis. There are many places in the book where I had to laugh, and that’s saying a lot for a book on statistics
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Things to Make and Do in the Fourth Dimension
- Hello, my name is Matt Parker and I’m a mathematician and stand-up comedian. I’m one-third of Festival of the Spoken Nerd, I write for newspapers (The Guardian and the Telegraph) as well as presenting TV and radio programs (BBC, Channel 4, Discovery). But I seem to be most famous for my work on the Numberphile youtube channel.
- The Golden Ratio (why it is so irrational) - Numberphile 15min
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Coding the Matrix - Linear Algebra Through Computer Science Applications
- book needs purchase ...
- Perspective rectification
- Search Audio - Search Subimage
- Lossy Compression
- Face detection
- 2D transforms (rotation) -> camera in 3d space
- Minimum spanning tree
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- Visual representations of areas of triangles to visualise calculus
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Kenneth Kuttler books
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personal website of Dr. Kenneth Kuttler. You can download these books as a PDF, or read them online without downloading
- One Variable Advanced Calculus
- Real and Abstract Analysis
- Calculus of One and Many Variables
- Calculus of Real and Complex Variables
- Elementary Linear Algebra
- Engineering Math
- Linear Algebra And Analysis
- Linear Algebra, Theory And Applications
- Topics In Analysis
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Green Tea Press Free books by Allen B. Downey
- Think Stats
- Think Bayes - Bayesian Statistics Made Simple pdf
- The premise of this book, and the other books in the Think X series, is that if you know how to program, you can use that skill to learn other topics
- python explantion of maths/stats
- Think DSP
- Think Complexity
- An introduction to complexity science, which includes small world graphs, scale-free networks, cellular automata, fractals and pink noise, self-organized criticality, and agent-based models.
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Mathematicians Find a New Class of Digitally Delicate Primes
- We are still discovering things in the field of mathmatics
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What are the most important statistical ideas of the past 50 years? Andrew Gelman and Aki Vehtari 17 Jan 2021
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We argue that the most important statistical ideas of the past half century are: counterfactual causal inference, bootstrapping and simulation-based inference, overparameterized models and regularization, multilevel models, generic computation algorithms, adaptive decision analysis, robust inference, and exploratory data analysis. We discuss common features of these ideas, how they relate to modern computing and big data, and how they might be developed and extended in future decades. The goal of this article is to provoke thought and discussion regarding the larger themes of research in statistics and data science
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A New Kind of Science Stephen Wolfram 2002
- Principles
- The nature of computation must be explored experimentally
- the results of these experiments have great relevance to understanding the physical world
- empirically investigate computation for its own sake
- because traditional mathematics fails to meaningfully describe complex systems, and that there is an upper limit to complexity in all systems
- For a program to qualify as simple, there are several requirements:
- Its operation can be completely explained by a simple graphical illustration.
- It can be completely explained in a few sentences of human language.
- It can be implemented in a computer language using just a few lines of code.
- [[algorithums]]
- The number of its possible variations is small enough so that all of them can be computed.
- principle of computational equivalence (PCE): the principle states that systems found in the natural world can perform computations up to a maximal ("universal") level of computational power.
- Principles
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- finding the radius of the earth based on a single photograph of a sunset over a large, calm lake.
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American Institute of Mathematics - Open Textbook initiative - Approved books
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Symplectic Geometry in 2D - Points, Lines, Circles
- Research paper describing visually and with maths, geometric algorithms (line crossing etc)
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- Drawing patter in a terminal
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manim - Animation engine for explanatory math videos
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math inspector - A Visual Programming Environment for Scientific Computing
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ALL IN ONE MATHEMATICS CHEAT SHEET - my god ...
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Gödel’s first incompleteness theorem - An interactive tutorial
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READ!
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A Theory of Collision Spaces - Where Belief Systems Collide And Diverge (v.0.0.1)
- Statistics applied to #socialmedia
- Asocial Attention Allocation
- Dyadic Attention Allocation
- Dyadic Credit Assignment
- Computer-Mediated Sociality
- Collision Spaces (Finally!)
- Stage 1: Adversarial Amplification
- Stage 2: Social Snow Crash (Entropy)
http://gabarro.org/ccn/algebraic_graph_calculus.html
- The World Is Built On Probability Free CC Book 2023
- Is this duplo train track under too much tension?
- Vectors to add together to calculate if a track makes a perfect loop
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- Replacing X,Y etc with emoji. Reveal eliptic curve maths!! Really well explained!
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- Spacing between keys in a Linear Programming problem