Equation library

Author: h | 2025-04-25

Equation Library - marcusnicolas1 - Is there an equation library for the HP Prime the way there was for the HP50G? RE: Equation Library - Bill_G - 03

GitHub - albertodev01/equations: An equation solving library

Function is used. The following script finds the dot product between the inverse of matrix A and the matrix B, which is the solution of the Equation 1.B = np.array([20, 26])X = np.linalg.inv(A).dot(B)print(X)Output:Check out our hands-on, practical guide to learning Git, with best-practices, industry-accepted standards, and included cheat sheet. Stop Googling Git commands and actually learn it![2. 4.]Here, 2 and 4 are the respective values for the unknowns x and y in Equation 1. To verify, if you plug 2 in place of the unknown x and 4 in the place of the unknown y in equation 4x + 3y, you will see that the result will be 20.Let's now solve a system of three linear equations, as shown below:4x + 3y + 2z = 25-2x + 2y + 3z = -103x -5y + 2z = -4The above equation can be solved using the Numpy library as follows:Equation 2:A = np.array([[4, 3, 2], [-2, 2, 3], [3, -5, 2]])B = np.array([25, -10, -4])X = np.linalg.inv(A).dot(B)print(X)In the script above the linalg.inv() and the linalg.dot() methods are chained together. The variable X contains the solution for Equation 2, and is printed as follows:[ 5. 3. -2.]The value for the unknowns x, y, and z are 5, 3, and -2, respectively. You can plug these values in Equation 2 and verify their correctness.Using the solve() MethodIn the previous two examples, we used linalg.inv() and linalg.dot() methods to find the solution of system of equations. However, the Numpy library contains the linalg.solve() method, which can be used to directly find the solution of a system of linear equations:A = np.array([[4, 3, 2], [-2, 2, 3], [3, -5, 2]])B = np.array([25, -10, -4])X2 = np.linalg.solve(A,B)print(X2)Output:[ 5. 3. -2.]You can see that the output is same as before.A Real-World ExampleLet's see how a system of linear

7.3 Heat Equation – Differential Equations - Open Library

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Equation library: Generalized Nernst Equation. Includes LaTeX

The unknown capacitance and initial voltage of a symbolically derived algebraic model of a simple resistor-capacitor (RC) circuit. Customize and Extend Simscape Libraries for a Custom DC MotorCreate custom-equation-based components for the Simscape library using Symbolic Math Toolbox.Finite Element Formulation for Timoshenko Beam ProblemThis example shows how to apply the finite element method (FEM) to solve a Timoshenko beam problem, using both linear and quadratic basis functions for analysis. Robotic Control SystemsAnalytical Solutions of the Inverse Kinematics of a Humanoid RobotThis example shows how to derive analytical solutions for the inverse kinematics of the head chain of a humanoid robot.Derive and Apply Inverse Kinematics to Two-Link Robot ArmThis example shows how to derive and apply inverse kinematics to a two-link robot arm by using MATLAB and Symbolic Math Toolbox.Derive Quadrotor Dynamics for Nonlinear Model Predictive ControlThis example shows how to derive a continuous-time nonlinear model of a quadrotor using Symbolic Math Toolbox.Derive Equations of Motion and Simulate Cart-Pole SystemThis example shows how to derive the equations of motion for the cart-pole system using Symbolic Math Toolbox™ and then simulate the cart-pole system using the ode45 solver. Quantitative FinanceThe Black–Scholes Formula for Call Option PriceThis example shows how to calculate the call option price using the Black–Scholes formula. Explore Single-Period Asset ArbitrageExplore basic arbitrage concepts in a single-period, two-state asset portfolio.Simulate a Stochastic Process Using the Feynman–Kac FormulaThis example obtains the partial differential equation that describes the expected final price of an asset whose price is a stochastic process given by a stochastic differential equation. Markov Chain Analysis and Stationary DistributionThis example shows how to derive the symbolic stationary distribution of a trivial Markov chain by computing its eigen decomposition. Related InformationTeaching Calculus with MATLAB and Symbolic Math ToolboxTeaching Rigid Body Dynamics: A Combination of Symbolic and Numeric ComputingMass-Spring-Damper Systems (MathWorks Teaching Resources)Courseware on Finite Element Methods (MathWorks Teaching Resources)Featured ExamplesSolve Partial Differential Equation of Nonlinear Heat TransferSolve a partial differential equation (PDE) of nonlinear heat transfer in a thin plate.Open Live ScriptAnalytical Plotting with Symbolic Math ToolboxSymbolic Math Toolbox provides analytical plotting of mathematical expressions without explicitly generating numerical data.Open Live ScriptSimulate the Motion of the Periodic Swing of a PendulumSolve the equation of motion of a simple pendulum analytically for small angles and numerically for any angle.Open Live ScriptAnalytical Model of Cantilever Truss Structure for SimscapeFind parameterized analytical expressions for the displacement of a joint of a cantilever truss. Equation Library - marcusnicolas1 - Is there an equation library for the HP Prime the way there was for the HP50G? RE: Equation Library - Bill_G - 03

HP 48G: Multiple Equation Solver and The Equation Library

Sophisticated scripting languages, business rules engines and for solving engineering equation ... type: Shareware ($700.00) categories: autoabacus, java, business rules, rules engine, math, mathematics, equation, solver, equation solver, api, library, calculator, calculate, constraints, language, satisfaction View Details Download MailMill COM 1.2.5 download by Active+ Software ... and sending. This component can be used by languages supporting COM objects, like Visual Basic, C++, Delphi and in scripting languages like VBScript and JScript. Benefits: Intuitive ... encoding mode. Handle multi-language (including asian and arabic languages). Support multiple To, CC, BCC and Reply-To. Support ... View Details Download MailMill COM x64 1.2.5 download by Active+ Software ... and sending. This component can be used by languages supporting COM objects, like Visual Basic, C++, Delphi and in scripting languages like VBScript and JScript. Benefits: Intuitive ... encoding mode. Handle multi-language (including asian and arabic languages). Support multiple To, CC, BCC and Reply-To. Support ... View Details Download

Petra: Building an equation library using Petra’s Equation

PoissonpyPlug-and-play standalone library for solving 2D Poisson equations. Useful tool in scientific computing prototyping, image and video processing, computer graphics.FeaturesSolves the Poisson equation on sqaure or non-square rectangular grids.Solves the Poisson equation on regions with arbitrary shape.Supports arbitrary boundary and interior conditions using sympy function experssions or numpy arrays.Supports Dirichlet, Neumann, or mixed boundary conditions.DisclaimerThis package is only used to solve 2D Poisson equations. If you are looking for a general purpose and optimized PDE library, you might want to checkout the FEniCSx project.UsageImport necessary libraries. poissonpy utilizes numpy and sympy greatly, so its best to import both:import numpy as npfrom sympy import sin, cosfrom sympy.abc import x, yfrom poissonpy import functional, utils, sovlersDefining sympy functionsIn the following examples, we use a ground truth function to create a mock Poisson equation and compare the solver's solution with the analytical solution.Define functions using sympy function expressions or numpy arrays:f_expr = sin(x) + cos(y) # create sympy function expressionlaplacian_expr = functional.get_sp_laplacian_expr(f_expr) # create sympy laplacian function expressionf = functional.get_sp_function(f_expr) # create sympy functionlaplacian = functional.get_sp_function(laplacian_expr) # create sympy functionDirichlet Boundary ConditionsDefine interior and Dirichlet boundary conditions:interior = laplacianboundary = { "left": (f, "dirichlet"), "right": (f, "dirichlet"), "top": (f, "dirichlet"), "bottom": (f, "dirichlet")}Initialize solver and solve Poisson equation:solver = Poisson2DRectangle(((-2*np.pi, -2*np.pi), (2*np.pi, 2*np.pi)), interior, boundary, X=100, Y=100)solution = solver.solve()Plot solution and ground truth:poissonpy.plot_3d(solver.x_grid, solver.y_grid, solution)poissonpy.plot_3d(solver.x_grid, solver.y_grid, f(solver.x_grid, solver.y_grid))SolutionGround truthErrorNeumann Boundary ConditionsYou can also define Neumann boundary conditions by specifying neumann_x and neumann_y in the boundary condition parameter.x_derivative_expr = functional.get_sp_derivative_expr(f_expr, x)y_derivative_expr = functional.get_sp_derivative_expr(f_expr, y)interior

c - library for visualizing mathematical equations (like an equation

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