Search Results for "b-link"

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. Class Matrix and class Polynomial facilitate finding...

...Multiple hash types can be generated simultaneously per file. Handy hash and file comparison functions, such as comparing calculated hashes will make this task as simple as A-B-C.