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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 into -K (q1 q2)T = q2T q1T Star complex conjugates A, B, C, D Bar is product of T and Star, Norm(q) = qTq Norm(q1*q2)=Norm(q1)*Norm( q2) q in H1 iff q qT = qT q = 1 4-vector X=t + i*x*I +i*y*J + i*z*K XPRIME = q X Bar(q) for q in H1 Form with real scalar, imaginary spatial is preserved Bar(X) = X and Bar(XPRIME )= XPRIME Norm(XPRIME) = Norm(X) = t*t - x*x - y*y - z*z q=cos(theta/2)+K*sin(theta/2) rotates by theta about z q=cosh(alpha/2)+i*I*sinh(alpha/2) boosts by alpha along x

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.

...Create: 7Z, ARC, BZip/GZip, PEA, TAR, WIM, XZ, ZPAQ, ZIP files and more Open and extract 180+ file types: ACE, CAB, DEB, ISO, RAR, ZIPX and more Features of PeaZip includes extract, create and convert multiple archives at once, create self-extracting archives (sfx), split files, strong encryption with two factor authentication, encrypted password manager, secure deletion, find duplicate files, calculate hashes, export task definition as command line script. Only source code distribution of my improvements by using of Subversion.