The sixth part covers vertical and whisker compositions of natural transformations, identity and isomorphism of functors, equivalence, isomorphism, and adjoint equivalence of categories, functor and morphism categories, natural transformations as functors, representable functors, category of presheaves, Yoneda embedding and lemma.
In these eye-opening books, award-winning statistician and author Lee Baker reveals the secrets of how the statistical hustlers use numbers, stats, graphs and charts to manipulate and misrepresent for political or commercial gain – and often get away with it.
Over the years I have invented and/or collected various clever and/or stupid ways of solving Fizz Buzz. In this book are ten solutions I found particularly interesting, each one the inspiration for a discussion of different aspects of coding, Python, testing, Fizz Buzz, mathematics, software design, technical interviewing, and related topics.
The fifth part covers exponentials and evaluation in sets and categories, subobjects, equalizers, equivalence classes and quotients, coequalizers, congruence categories, morphism functors, and presheaves.
The fourth part covers non-concrete categories, group objects, monoid, group, opposite, arrow, slice, and coslice categories, forgetful functors, monomorphisms, epimorphisms, and isomorphisms.
The Saga of PLS narrates, in an agreeable way, the historical development of Partial Least Squares (PLS) methods.
The third part covers adjoint functors, diagram shapes and categories, cones and cocones, limits and colimits, pullbacks and pushouts.
This book is actually a cheat sheet about computing matrix algebra operations such as matrix multiplication, inversion and factorization.It is written foR (aspiring) data scientists where with "foR" (capital letter R) I mean the side of data science addicted to R and its gorgeous ecosystem especially including Rcpp, RcppArmadillo and RcppEigen.
This machine learning book series aims at providing real hands-on training from general concepts and architecture to low-level details and mathematics. The first epoch covers the simplest linear associative network, proposes a brick notation for algebraic expressions, shows required calculus derivations, and illustrates gradient descent.
Google engineers are regular expression masters. Do you want to become one, too? The Smartest Way to Learn Python Regex transforms you into a regular expression master. The book leverages an innovative learning approach: (1) read a chapter, (2) watch a course video, and (3) solve a code puzzle. It's fun!
An algebraic axiomatic theory of formulas for mathematicians and programmers.
Was a spell laid to Earth mathematicians that the most important concept in general topology was discovered only in 2019?
A generalization of general topology expressing topological properties with algebraic formulas. Even beginning math students can read.
The second part covers duality, products, coproducts, biproducts, initial and terminal objects, pointed categories, matrix representation of morphisms, and monoids.
Category theory abstractions are very challenging to apprehend correctly, require a steep learning curve for non-mathematicians, and, for people with traditional naïve set theory education, a paradigm shift in thinking. The book uses LEGO® to teach category theory.