This is a snippet from a conversation I had concerning the paradigm I operate in: My constructs are beautiful because they are elegant, though, it is really just an implementation of abelian fields… …The basis of my paradigm is a semantic ontology – domains of knowledge and tacit experience. The networks of the semantic ontology have linear transformations and is a differential of intentionality – I can show how experience and intentional objects change along with their corresponding waves and harmonics because it is orthogonally diagonalizable. It’s an abstraction of how concepts exists in a network and it currently compliments Read More

## Tag: Calculus textbook

## Conservation Laws and Magical and Psychic Energy

This is a snippet of a conversation from Reddit: I wrote: Gaffluence wrote: Does the first law of Thermodynamics apply to magical energies too? The law being that, energy cannot be created or destroyed, only transformed (simplified version). The answer is no. Conservation of energy is due a temporal translation invariance as described in Noether’s theorem and the Lagrangian. Energy conservation is a consequence of invariance under time translations. Something more abstract than time would not be beholden to that invariance and thus would not be conserved. Basically, if it is not physical, it would not be temporal, and Read More

## SageMath

SageMath is a computer algebra system with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, numerical analysis, number theory, calculus and statistics. SageMath is a free open-source mathematics software system licensed under the GPL. It builds on top of many existing open-source packages: NumPy, SciPy, matplotlib, Sympy, Maxima, GAP, FLINT, R and many more. Access their combined power through a common, Python-based language or directly via interfaces or wrappers. Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.

## OpenStax: Calculus Volume 1

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration.

## OpenStax: Calculus Volume 2

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

## OpenStax: Calculus Volume 3

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.