| import sympy.physics.mechanics as _me | |
| import sympy as _sm | |
| import math as m | |
| import numpy as _np | |
| q1, q2 = _me.dynamicsymbols('q1 q2') | |
| x, y, z = _me.dynamicsymbols('x y z') | |
| e = q1+q2 | |
| a = (e).subs({q1:x**2+y**2, q2:x-y}) | |
| e2 = _sm.cos(x) | |
| e3 = _sm.cos(x*y) | |
| a = (e2).series(x, 0, 2).removeO() | |
| b = (e3).series(x, 0, 2).removeO().series(y, 0, 2).removeO() | |
| e = ((x+y)**2).expand() | |
| a = (e).subs({q1:x**2+y**2,q2:x-y}).subs({x:1,y:z}) | |
| bm = _sm.Matrix([i.subs({x:1,y:z}) for i in _sm.Matrix([e,2*e]).reshape(2, 1)]).reshape((_sm.Matrix([e,2*e]).reshape(2, 1)).shape[0], (_sm.Matrix([e,2*e]).reshape(2, 1)).shape[1]) | |
| e = q1+q2 | |
| a = (e).subs({q1:x**2+y**2,q2:x-y}).subs({x:2,y:z**2}) | |
| j, k, l = _sm.symbols('j k l', real=True) | |
| p1 = _sm.Poly(_sm.Matrix([j,k,l]).reshape(1, 3), x) | |
| p2 = _sm.Poly(j*x+k, x) | |
| root1 = [i.evalf() for i in _sm.solve(p1, x)] | |
| root2 = [i.evalf() for i in _sm.solve(_sm.Poly(_sm.Matrix([1,2,3]).reshape(3, 1), x),x)] | |
| m = _sm.Matrix([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]).reshape(4, 4) | |
| am = (m).T+m | |
| bm = _sm.Matrix([i.evalf() for i in (m).eigenvals().keys()]) | |
| c1 = _sm.diag(1,1,1,1) | |
| c2 = _sm.Matrix([2 if i==j else 0 for i in range(3) for j in range(4)]).reshape(3, 4) | |
| dm = (m+c1)**(-1) | |
| e = (m+c1).det()+(_sm.Matrix([1,0,0,1]).reshape(2, 2)).trace() | |
| f = (m)[1,2] | |
| a = (m).cols | |
| bm = (m).col(0) | |
| cm = _sm.Matrix([(m).T.row(0),(m).T.row(1),(m).T.row(2),(m).T.row(3),(m).T.row(2)]) | |
| dm = (m).row(0) | |
| em = _sm.Matrix([(m).row(0),(m).row(1),(m).row(2),(m).row(3),(m).row(2)]) | |