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C++ complex calculator with arrays, matrices, eigenvectors, functions
This is a command line C++ code which compiles and links using gnu g++. It has scientific notation, scientific functions, complex integration including path integrals, and loops with tests. User defined functions are strings. A variable may simultaneously represent a scalar, an array, and a string. Arrays up to ten dimensions are allowed. Householder reduction is used for determinants, eigenvectors, and QR matrix factorization. Class Matrix and class Polynomial facilitate finding...
Complex quaternion calculator with Lorentz boosts and rotations
C++ code to perform the Lorentz boosts and rotations of special relativity using complex quaternions The interface is a complex quaternion console-based calculator with operations + - * / ^ and functions for Lorentz boosts and rotations.
THEORY
Complex quaternions have form q = A + B * I + C * J + D * K with A, B, C, D complex
I * I = -1 , J * J = -1 , K * K = -1, I * J = K, J * I = -K , J * K = I,K * J = -I, K * I = J, I * K = -J
Transpose T takes I into -I, J into -J, K...