背景:应用sympy可以构造矢量函数,并且可以定义用户的坐标系,定义了矢量函数后,运算时后的结果表达式时一个矢量函数表达式,有时需要取出分量、求模、归一化等等操作。 示例代码如下: importsympyassymfromsympy.physics.vectorimportReferenceFramefromsympy.physics.vectorimportgradient,divergence,curl#init_printing(use_unico...
矢量之间的运算、矢量与数量的运算在sympy已经预置了基本功能,使用示例如下: fromsympy.vectorimportCoordSys3D,directional_derivative#定义笛卡尔坐标系,也可定义求坐标系、柱坐标系R=CoordSys3D('R')x,y,z=R.x,R.y,R.zi,j,k=R.i,R.j,R.k#定义标量def_scalar_field=x*y*z#定义矢量def_vector_field=...
we decouple the sign and magnitude. The sign is part of the unit vector, specifying the direction, and the magnitude should always be positive. A user could combine it all in a single equation-k * (x(t) * A.x). The only possible problem is that one also required to define the init...
>>>fromsympy.vectorimportdivergence>>>sphere = ParametricRegion((4*sin(phi)*cos(theta),4*sin(phi)*sin(theta),4*cos(phi)),...(phi,0, pi), (theta,0,2*pi))>>>solidsphere = ParametricRegion((r*sin(phi)*cos(theta),r*sin(phi)*sin(theta), r*cos(phi)),...(r,0,4),(phi,0...
classsympy.physics.vector.point.Point(name) 此对象代表动态系统中的一个点。 它存储点的位置、速度和加速度。位置是一个向量,定义为从父点到此点的向量距离。 参数: name: 字符串 点的显示名称 示例 >>>fromsympy.physics.vectorimportPoint, ReferenceFrame, dynamicsymbols>>>fromsympy.physics.vectorimportini...
magnitude() (sympy.physics.mechanics.essential.Vector method) major (sympy.geometry.ellipse.Ellipse attribute) make_perm() (sympy.combinatorics.perm_groups.PermutationGroup method) make_prime() (in module sympy.solvers.diophantine) mangoldt() (in module mpmath) Manifold (class in sympy.diffgeom) ...
The orders of magnitude O(x**n, (x, oo)) are now correctly compared to each other with Order.contains. (#15476 by @normalhuman) added a heuristic method for solving indefinite forms in limits (#14939 by @maurogaravello) implemented expression-based recursive sequence class (#15184 by @...
p=1gives the sum of absolute values. p=2is the standard Euclidean vector norm. p=infgives the magnitude of the largest element. Forxa matrix,p=2is the Frobenius norm. For operator matrix norms, usemnorm()instead. You can use the string ‘inf’ as well as float(‘inf’) or mpf(‘...
返回系统 Bode 幅值图的数值数据。它由bode_magnitude_plot在绘制 Bode 幅值图时内部使用。用户可以使用这些数据进一步分析系统的动态或使用不同的后端/绘图模块进行绘图。 参数: system:SISOLinearTimeInvariant 要计算其数据的系统。 initial_exp:Number,可选 ...
x2,y2 = _vectorComponent(v2,_x,_y) return (x1-x2,y1-y2)# return (v1-v2).magnitude() # # SolveSpace does it like below instead of above. See comments in # _vectorsParallel() # x1,y1,z1 = _vectorComponent(v1) x2,y2,z2 = _vectorComponent(v2) ...