Symbolic math

Author: f | 2025-04-24

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GitHub - maddybartlett/math-symbols: List of math symbols for

The Symbolic Math Toolbox in MATLAB is an essential utility for symbolic computation, offering a suite of tools for algebra, calculus, and equation solving. This toolbox is integral for professionals and students in mathematics, engineering, and science, facilitating the symbolic manipulation of mathematical expressions and enhancing analytical capabilities.Symbolic Math Toolbox provides a user-friendly interface for performing symbolic mathematical operations within MATLAB.It allows for:Algebraic operations like expansion, factorization, and simplification.Solving equations and systems of equations symbolically.Performing calculus tasks such as differentiation, integration, and limits.Transforming mathematical expressions to simplify or reformat them.For example, solving a quadratic equation symbolically can be done with a simple command, and the toolbox will provide the exact roots in terms of symbolic parameters.Unlock mathematical understanding and streamline computation with MATLAB’s Symbolic Math Toolbox, your go-to for symbolic problem-solving.Key TakeawayExploring the Capabilities of MATLAB’s Symbolic Math ToolboxKey Features of Symbolic Math ToolboxApplications in Algebraic ManipulationsSymbolic Computation CapabilitiesUtilizing Symbolic Math Toolbox for CalculusEnhancing Mathematical Problem-Solving SkillsConclusionKey TakeawayThe Symbolic Math Toolbox in MATLAB is a utility for symbolic computation that offers tools for algebra, calculus, and equation solving.It enhances analytical capabilities in mathematics, engineering, and science by simplifying, expanding, and manipulating symbolic expressions.Symbolic Math Toolbox allows for symbolic differentiation and integration, solving differential equations, computing limits, and obtaining Taylor series expansions.It saves time and effort in performing complex mathematical operations, improves understanding and visualization of mathematical concepts, and is widely used in theoretical mathematics, engineering, and physics.Exploring the Capabilities of MATLAB’s Symbolic Math Toolbox FeatureDescriptionAlgebraic ManipulationsSimplify, expand, factor, and rewrite expressions.Equation SolvingFind exact solutions to algebraic equations symbolically.CalculusPerform differentiation, integration, limits, and series expansions.Expression SimplificationReduce expressions to simpler forms for analysis.Symbolic Function CreationDefine functions symbolically for manipulation and evaluation.Variable Precision ArithmeticCompute with arbitrary numerical precision.Symbolic-Numeric ConversionConvert between symbolic expressions and floating-point approximations.Code GenerationGenerate MATLAB code from symbolic expressions for numerical computation.Dive into the comprehensive features of MATLAB’s Symbolic Math Toolbox, designed for symbolic computation in algebra, calculus, and more, enhancing analytical tasks for mathematicians and engineers.Key Features of Symbolic Math ToolboxThe Symbolic Math Toolbox provides a comprehensive set of powerful tools for symbolically solving mathematical problems, frequently used in academic and research settings.It offers a wide range of key features, including symbolic computation, equation solving, calculus operations, linear algebra manipulations, and algebraic simplifications.Symbolic computation enables the manipulation of mathematical expressions and equations with variables, allowing for precise and exact solutions.The toolbox’s equation-solving capabilities provide solutions in terms of variables, making it particularly useful for complex problem-solving. Moreover, it facilitates calculus operations such as differentiation, integration, and limits symbolically.Additionally, it offers a variety of linear algebra manipulations, including matrix operations and determinants.These features make the Symbolic Math Toolbox an essential resource for various applications in algebraic manipulations, enabling efficient and accurate mathematical problem-solving.Applications in Algebraic ManipulationsAn essential application of the Symbolic Math Toolbox is its capability to perform precise and efficient algebraic manipulations.This toolbox allows for the manipulation of symbolic expressions and equations, making it invaluable for tasks such as simplifying expressions, solving equations, and manipulating algebraic formulas. The table below

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The MATLAB Symbolic Math Toolbox allows users to perform symbolic computation, enabling manipulation of algebraic expressions, solving equations symbolically, and working with calculus operations such as differentiation and integration.Here’s a simple example of using the Symbolic Math Toolbox to differentiate a symbolic function:syms xf = x^2 + 3*x + 2;df = diff(f, x);disp(df);Introduction to the Symbolic Math ToolboxWhat is the Symbolic Math Toolbox?The MATLAB Symbolic Math Toolbox is an invaluable resource for researchers, engineers, and mathematicians alike. It allows users to perform mathematical computations symbolically rather than numerically, enabling more precise and insightful analyses. With symbolic computation, you can manipulate mathematical expressions just like you would in algebra, providing deeper insights into your mathematical models.Why Use Symbolic Math in MATLAB?Using the symbolic math toolbox presents several advantages, particularly when precise mathematical solutions are required. Unlike numerical methods, which only provide approximate solutions, symbolic math delivers exact answers. This is especially useful in research and complex problem-solving scenarios, such as deriving formulas or simplifying complex expressions. In summary, the toolbox shines in situations where mathematical purity and exactness are paramount.Exploring Powerful Matlab Toolboxes for Your ProjectsGetting Started with the Symbolic Math ToolboxInstallation and SetupGetting started with the MATLAB Symbolic Math Toolbox is straightforward. If you have MATLAB installed, check if the toolbox is included:ver symbolicIf it is not available, you can install it via the Add-Ons menu in MATLAB. Once installed, you can access all of its functionalities seamlessly.Basic Syntax and StructureTo start using symbolic variables, you will need to define them using the `syms` function. For instance:syms x yThis command creates symbolic variables `x` and `y`, allowing for a myriad of mathematical operations. You can now express symbolic operations in a familiar algebraic form.Mastering Matlab Subplot Title CustomizationKey Features of the Symbolic Math ToolboxSymbolic Variables and ExpressionsSymbolic variables can represent arbitrary values and allow for manipulation and transformation. You can create complex symbolic expressions and apply various functions. For instance:expr = x^2 + 2*x + 1;simplified_expr = simplify(expr);In this example, the expression is defined, and `simplify()` is used to reduce it to its simplest form, demonstrating the capability of the symbolic math toolbox.DifferentiationOne of the powerhouse features of the toolbox is its differentiation functionality. The `diff()` function allows you to compute derivatives with ease. For example:f = sin(x) * cos(x);derivative_f = diff(f, x);This snippet demonstrates how to compute the derivative of a trigonometric product. You can also calculate higher-order derivatives

GitHub - fyash/SITL3-Symbolic-Math: Symbolic Math Toolbox

If you have the Symbolic toolbox, then you can download the MATLAB install it with the symbolic toolbox. If you already have MATLAB installed, then you can click you can click Add-ons and search for the symbolic toolbox and install it. % Ensure the Symbolic Math Toolbox is availablesyms v(t)% Define the ODEode = diff(v, t) == -0.5*v + sec(t) + tan(v);% Specify initial conditioncond = v(0) == 0;% Solve the ODEsol = dsolve(ode, cond);% Display the solutiondisp('The exact solution is:');disp(sol);% Ensure the Symbolic Math Toolbox is availablesyms v(t)% Define the ODEode = diff(v, t) == -0.5*v + sec(t) + tan(v);% Specify initial conditioncond = v(0) == 0;% Solve the ODEsol = dsolve(ode, cond);% Display the solutiondisp('The exact solution is:');disp(sol);% Optionally, convert the solution to a function for further usev_exact = matlabFunction(sol); ode = diff(v, t) == -0.5*v + sec(t) + tan(v);sol = dsolve(ode, cond);Warning: Unable to find symbolic solution.disp('The exact solution is:');v_exact = matlabFunction(sol); ode = diff(v, t) == -0.5*v + sec(t) + tan(v);sol = dsolve(ode, cond);Warning: Unable to find symbolic solution.disp('The exact solution is:');ode = diff(v, t) == -0.5*v + sec(t) + tan(v);sol = dsolve(ode, cond);Warning: Unable to find symbolic solution.disp('The exact solution is:');v_exact = matlabFunction(sol) % Clear workspace and command windowclear; clc;T==2; %Final time% Define symbolic variablessyms v(t) % Define the ODEode = diff(v, t) == -0.5*v + sec(t) + tan(v) - (exp(-t) + v + int(v^2, t, 0, t));% Specify the boundary conditioncond = v(0) == 0;cond = v(T) == 1;% Solve the ODEsol = dsolve(ode, cond);% Display the exact solutiondisp('The exact solution is:');disp(sol);. matlab symbolic math toolbox, matlab symbolic math toolbox install, matlab symbolic math toolbox tutorial, matlab symbolic math toolbox free download, matlab symbolic math toolbox pdf, matlab symbolic math toolbox vs maple, matlab symbolic math toolbox solve, matlab symbolic math toolbox simplify, matlab symbolic math toolbox vs mathematica, matlab symbolic math

GitHub - saiananya/SITL2-Symbolic-Math: Symbolic Math Toolbox

Perform symbolic math computationsRelease NotesPDF DocumentationSymbolic Math Toolbox™ provides functions for solving, plotting, and manipulating symbolic math equations. You can create, run, and share symbolic math code. In the MATLAB® Live Editor, you can get next-step suggestions for symbolic workflows. The toolbox provides functions in common mathematical areas such as calculus, linear algebra, algebraic and differential equations, equation simplification, and equation manipulation.Symbolic Math Toolbox lets you analytically perform differentiation, integration, simplification, transforms, and equation solving. You can perform dimensional computations and convert between units. Your computations can be performed either analytically or using variable-precision arithmetic, with the results displayed in mathematical typeset.You can share your symbolic work with other MATLAB users as live scripts or convert them to HTML, Word, LaTeX, or PDF documents. You can generate MATLAB functions, Simulink® Function blocks, and Simscape™ equations directly from symbolic expressions.Get Started Learn the basics of Symbolic Math ToolboxSymbolic Computations in MATLABSymbolic variables, expressions, functions, conversionsbetween symbolic and numericMathematicsEquation solving, formula simplification, calculus,linear algebra, and moreGraphicsTwo- and three-dimensional plots, data exploration,and visualization techniquesCode GenerationUse symbolic results in MATLAB, Simulink, Simscape, C, Fortran, and LaTeXApplicationsPerform application-specific workflows using Symbolic Math Toolbox

GitHub - AjinkyaSPawar/SITL3-Symbolic-Math: Symbolic Math Toolbox

Perform symbolic math computationsSymbolic Math Toolbox™ provides functions for solving, plotting, and manipulating symbolic math equations. You can create, run, and share symbolic math code using the MATLAB® Live Editor. The toolbox provides functions in common mathematical areas such as calculus, linear algebra, algebraic and ordinary differential equations, equation simplification, and equation manipulation.Symbolic Math Toolbox lets you analytically perform differentiation, integration, simplification, transforms, and equation solving. You can perform dimensional computations and conversions using SI and US unit systems. Your computations can be performed either analytically or using variable-precision arithmetic, with the results displayed in mathematical typeset.You can share your symbolic work with other MATLAB users as live scripts or convert them to HTML or PDF for publication. You can generate MATLAB functions, Simulink® function blocks, and Simscape™ equations directly from symbolic expressions.TutorialsCreate Symbolic Numbers, Variables, and ExpressionsUse symbolic values and variables.Create Symbolic FunctionsUse symbolic functions that accept symbolic inputs,such as f(x,y).Create Symbolic MatricesUse matrices containing symbolic values.Create Symbolic Matrix VariablesUse symbolic matrix variables.Symbolic Objects to Represent Mathematical ObjectsUse symbolic objects to represent mathematical objects.Perform Symbolic Computations Perform operations on symbolic objects.Use Assumptions on Symbolic VariablesModel your problem and get simpler results by usingassumptions.Featured Examples

GitHub - Jatharvak/symbolic: Symbolic Math

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

Math::Symbolic - Symbolic calculations - metacpan.org

Highlights some of the key algebraic manipulation functions provided by the Symbolic Math Toolbox:Algebraic Manipulation FunctionsDescriptionExamplesimplify()Simplifies algebraic expressionssimplify(x^2 + 2x + 1)solve()Solves algebraic equationssolve(x^2 – 4 = 0)expand()Expands algebraic expressionsexpand((x + 1)^2)factor()Factors algebraic expressionsfactor(x^2 + 2x + 1)collect()Collects like terms in algebraic expressionscollect(x^2 + 2x + x^2, x)Algebraic Manipulation FunctionsThe Symbolic Math Toolbox provides a comprehensive set of tools for executing algebraic manipulations with accuracy and efficiency.Symbolic Computation CapabilitiesSymbolic Math Toolbox’s symbolic computation capabilities enable precise and efficient manipulation of mathematical symbols and expressions.It provides functions for simplifying, expanding, and manipulating symbolic expressions, allowing for the manipulation of mathematical equations without specific numerical values. This capability is essential in various fields such as physics, engineering, and computer science, where complex equations often arise. Users can easily substitute variables, apply various algebraic rules, and even incorporate greek symbols in mathematical operations to enhance clarity and precision. By leveraging these tools, individuals can efficiently solve problems and derive meaningful insights from abstract mathematical concepts.The toolbox can perform tasks such as simplifying algebraic expressions, solving equations symbolically, computing derivatives and integrals, and performing transformations on mathematical expressions.Symbolic computation is particularly useful in theoretical mathematics, engineering, and physics, where exact solutions are necessary for analysis.By utilizing symbolic computation, users can perform complex mathematical operations, derive precise solutions, and gain a deeper understanding of mathematical concepts.This capability sets Symbolic Math Toolbox apart as a powerful tool for symbolic manipulation and computation in various scientific and technical fields.Utilizing Symbolic Math Toolbox for CalculusUtilizing the Symbolic Math Toolbox for calculus enables precise manipulation and computation of mathematical symbols and expressions.This powerful tool enhances the study of calculus by providing a range of capabilities, including:Symbolic Differentiation: Easily compute derivatives of algebraic and transcendental functions symbolically.Symbolic Integration: Perform indefinite and definite integrals symbolically, handling a wide range of functions.Solving Differential Equations: Solve differential equations symbolically, enabling a deeper understanding of their behavior.Limit Calculations: Compute limits of functions symbolically, facilitating the analysis of functions’ behavior at critical points.Taylor Series Expansion: Obtain Taylor series expansions of functions symbolically, aiding in approximating complex functions.These features empower users to explore calculus concepts with precision and depth, enhancing mathematical problem-solving skills.Enhancing Mathematical Problem-Solving SkillsThe Symbolic Math Toolbox enhances mathematical problem-solving skills by providing precise and powerful capabilities for manipulating and computing mathematical symbols and expressions.This toolbox equips users with the ability to solve complex equations, perform algebraic manipulations, simplify expressions, and solve systems of equations symbolically.By utilizing symbolic math functions, users can gain a deeper understanding of mathematical concepts and develop stronger problem-solving skills.The toolbox enables the manipulation of mathematical expressions in their exact symbolic form, allowing for more accurate and comprehensive analyses.Through its functionality, the Symbolic Math Toolbox empowers users to tackle intricate mathematical problems with confidence, leading to improved proficiency in problem-solving and a deeper comprehension of mathematical principles.ConclusionThe Symbolic Math Toolbox offers a range of powerful features for algebraic manipulations, symbolic computation, and calculus applications. Its capabilities provide a valuable tool for enhancing mathematical problem-solving skills.With its wide range of applications,. matlab symbolic math toolbox, matlab symbolic math toolbox install, matlab symbolic math toolbox tutorial, matlab symbolic math toolbox free download, matlab symbolic math toolbox pdf, matlab symbolic math toolbox vs maple, matlab symbolic math toolbox solve, matlab symbolic math toolbox simplify, matlab symbolic math toolbox vs mathematica, matlab symbolic math Unicode Math Symbols. Math Symbols ∑ ∫ π ∞; Set Theory Symbols ∈ ⊂ ∪ ∩; Logic Symbols ∀ ∃; Geometry Symbols ∡ ⦜ Math Brackets ⦑ ⦒ Arrows → ⇒ ↦; Brackets

Symbol Typer - Write Math and Symbols

Perform application-specific workflows using Symbolic Math Toolbox™Symbolic Math Toolbox provides tools to solve, plot, and manipulate mathematical expressions, both analytically and numerically with high precision. From the results of symbolic computations, you can also generate MATLAB® functions, Simulink® Function blocks, and Simscape™ equations to use with other toolboxes. Use these tools to perform application-specific workflows.Teaching and ResearchMathematicsEigenvalues of the Laplace OperatorThis example shows how to solve the eigenvalue problem of the Laplace operator on an L-shaped region.Solve Partial Differential Equation of Nonlinear Heat TransferThis example shows how to solve a partial differential equation (PDE) of nonlinear heat transfer in a thin plate.Solve Partial Differential Equation of Tsunami ModelThis example simulates a tsunami wave phenomenon by solving the partial differential equations that model the tsunami.Using Symbolic Mathematics with Optimization Toolbox SolversThis example shows how to use the Symbolic Math Toolbox functions jacobian and matlabFunction to provide analytical derivatives to optimization solvers.Analytical Plotting with Symbolic Math ToolboxSymbolic Math Toolbox provides analytical plotting of mathematical expressions without explicitly generating numerical data.PhysicsThe Physics of the Damped Harmonic OscillatorThis example explores the physics of the damped harmonic oscillator by solving the equations of motion in the case of no driving forces. Simulate 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.Functional Derivatives TutorialThis example shows how to use functional derivatives in Symbolic Math Toolbox using the context of a wave equation.Solve Differential Equations of RLC Circuit Using Laplace TransformSolve differential equations of an RLC circuit by using Laplace and inverse Laplace transforms.Harmonic Analysis of Transfer Function OutputThis example finds closed-form solutions for the coefficients of frequencies in an output signal. Units in Physics CalculationsThis example shows how to work with units in physics calculations. Mathematical System ModelingAnimation and Model of Automotive PistonThis example shows how to model the motion of an automotive piston by using MATLAB and Symbolic Math Toolbox.Padé Approximant of Time-Delay InputThis example shows how to use a Padé approximant in control system theory to model time delays in the response of a first-order system. Analytical Model of Cantilever Truss Structure for SimscapeThis example shows how to find parameterized analytical expressions for the displacement of a joint of a cantilever truss structure in both the static and frequency domains.Estimate Model Parameters of a Symbolically Derived Plant Model in SimulinkThis example uses Simulink Design Optimization™ to estimate

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With a simple command.IntegrationIntegration, both definite and indefinite, is another vital aspect of the toolbox. With the `int()` function, computing integrals becomes efficient. Consider the following:integral_f = int(f, x);This will yield the indefinite integral of the function `f`. The toolbox can also handle definite integrals, providing you a robust tool for analytical calculus.Solving EquationsThe toolbox excels in finding solutions to algebraic equations via the `solve()` function. This function can solve single equations or systems of equations. An example usage is as follows:eq = x^2 - 4 == 0;solutions = solve(eq, x);This snippet illustrates how to solve for `x` in a simple quadratic equation. The toolbox can also handle multiple equations, making it extremely versatile.Mastering Matlab Scatter: A Quick Guide to Visualizing DataAdvanced FunctionalitiesSimplification and ExpansionThe toolbox provides essential functions for simplifying and expanding expressions. Use `simplify()` to condense expressions into a more manageable form. For example:expanded_expr = expand((x + 1)^2);This command expands the expression, showcasing the toolbox's ability to manipulate polynomial forms.Series Expansions and ApproximationsCreating series expansions, such as Taylor series, is another robust feature. This can be useful in approximating functions around a specific point. For instance:taylor_expansion = taylor(exp(x), x);The result provides a polynomial approximation of the exponential function, reinforcing the symbolic toolbox's utility in mathematical analysis.Matrix Operations with Symbolic MatricesSymbolic matrices enhance your capability to operate on matrices symbolically. You can define a symbolic matrix using:A = [syms a, syms b; syms c, syms d];This creates a 2x2 matrix of symbolic variables, allowing for further mathematical operations like matrix multiplication and eigenvalue computations symbolically.Mastering Matlab Smoothness: A Quick Guide to CommandsPlotting Symbolic FunctionsGraphing is an integral part of understanding mathematical concepts. The toolbox allows you to visualize symbolic expressions using `fplot()`. For example:fplot(sin(x), [-2*pi, 2*pi]);This command generates a plot of the sine function over the specified interval. You can enhance your plots by adding titles, labels, and legends for clarity.Mastering Matlab Documentation: A Quick GuideCommon Use Cases and ApplicationsThe symbolic math toolbox finds utility in various fields:Engineering ApplicationsIn engineering, symbolic math aids in control systems and robotics by allowing for precise models of dynamic systems, facilitating iterative design processes and optimizations.Physics and MathematicsSymbolic computation is pivotal in areas like solving differential equations, making it easier to derive fundamental laws and principles.Financial ModelingIn finance, symbolic math assists in creating models such as those used in option pricing, enabling more accurate assessments of investment risks and strategies.Mastering Matlab Certification: Your. matlab symbolic math toolbox, matlab symbolic math toolbox install, matlab symbolic math toolbox tutorial, matlab symbolic math toolbox free download, matlab symbolic math toolbox pdf, matlab symbolic math toolbox vs maple, matlab symbolic math toolbox solve, matlab symbolic math toolbox simplify, matlab symbolic math toolbox vs mathematica, matlab symbolic math Unicode Math Symbols. Math Symbols ∑ ∫ π ∞; Set Theory Symbols ∈ ⊂ ∪ ∩; Logic Symbols ∀ ∃; Geometry Symbols ∡ ⦜ Math Brackets ⦑ ⦒ Arrows → ⇒ ↦; Brackets

math symbol/math equation support - forums.scribus.net

On the symbolic math features of Python. Command-Line Interface The simplest IPython interaction takes place at the command line or "shell". Here's an IPython command-line example that produces and displays a symbolic solution to the quadratic equation $ a x^2 + b x + c = 0$: In [1]: from sympy import *In [2]: init_printing()In [3]: a,b,c,x = symbols('a b c x')In [4]: solve(a*x**2+b*x+c,x)Out[4]: ⎡ _____________ ⎛ _____________⎞⎤⎢ ╱ 2 ⎜ ╱ 2 ⎟⎥⎢-b + ╲╱ -4⋅a⋅c + b -⎝b + ╲╱ -4⋅a⋅c + b ⎠⎥⎢─────────────────────, ───────────────────────⎥⎣ 2⋅a 2⋅a ⎦ Notes: Entry [1] imports Python's symbolic math library "sympy" (symbolic Python). Entry [2] initializes pretty-printing, which allows math results to be rendered "nicely", i.e. nicer than the default format: Out[4]:[(-b + sqrt(-4*a*c + b**2))/(2*a), -(b + sqrt(-4*a*c + b**2))/(2*a)] Entry [3] formally declares the algebraic symbols to be used in the solution. Entry [4] calls sympy's "solve()" function with an equation to be solved and the variable to be solved for. The output cell [5] renders the result using fonts to simulate mathematical notation. Notebook Interface The above command-line interface can produce useful results in an environment with limited resources and minimal display abilities, but it has some drawbacks. One drawback is that the user's entries aren't preserved. Another is that the display quality is limited. These issues are addressed by IPython's notebook interface. Here's an example: The notebook interface saves user sessions as plain-text files that can be archived, edited, and refined over time. The notebook supports Latex rendering so the quality of the equation rendering is better, and the notebook interface also supports advanced graphics that can be placed inline with the notebook cells: The notebook interface allows a high degree of control over editing and revision, and has a number of productivity aids. Summary In my view,