Mathematics APIs

POST /++simplifyExprEq

This service endpoint simplifies a given mathematical equation formatted as MathJax LaTeX. It validates the subscription before proceeding with the simplification process.

Request Body:

The request body must be a JSON object containing the following parameter:

• formula: A string representing the mathematical equation formatted as MathJax LaTeX to be simplified.

Example:

{
    "formula": "\\frac{a}{b} + \\frac{b}{a}"
}

Response:

The response will be a JSON object containing the simplified equation. If an error occurs, an error message will be returned.

Success Response:

• Status Code: 200 OK
• Body: JSON object with the simplified equation.

Example:

{
    "simplified": "\\frac{a^2 + b^2}{ab}"
}

Error Responses:

• Status Code: 500
• Body: JSON object with an error message.

Example:

{
    "error": "Unknown error <the error>" 
}

POST /++drawFormulaGraph

This API service generates an a graph as an image from a LaTeX formula provided in the request body.

You can only use variable \(x\) and \(y\) in the entered equation

Linear Equations:

• $\backslash (y=mx+b\backslash )$
• \(ax+by+c=0\)

Quadratic Equations:

• \(y=ax^2 + bx + bc\)

Cubic Equations:

• \(y=ax^3+bx^2+cx+d\)

Exponential Equations:

• \(y =a \cdot b^x\)

Trigonometric Equations:

• \(y = \sin (x)\)
• \(y = \cos (x)\)
• \(y = \tan (x)\)

Endpoint

POST /++drawFormulaGraph

Request

Headers:

• Content-Type: application/json
• Accept: application/json

Body:

The request body should be a JSON object containing the LaTeX formula to be graphed.

{
    "formula": "your_latex_formula_here"
}

Parameters:

• registration_id: The registration ID of the user (sent as a request parameter).
• subscription_method: The method of subscription validation (sent as a request parameter).

Response

Success Response:

• Status Code: 200 OK
• Content-Type: application/json
• Body:

  {
      "drawing": "iVBORw0KGgoAAAANSUhEUgAAArwAAAH0CAYAAADfWf7fAAAgAE…XzqxJigACCCCAAAIImBT4A+K2M0 ..."
  }
  

Error Responses:

• Status Code: 500
• Body: JSON object with an error message.

Example:

{
    "error": "Unknown error <the error>" 
}

POST ++solveAlgebricEquations

This API service solves a system of up to three algebraic equations provided in the request body in LaTex formula.  For example 

• 3x -2y +1/2z = 0
• 2x +3y -2z = 8
• 1/2x -2y -12z = 8

Request

Headers:

• Content-Type: application/json
• Accept: application/json

Body:

The request body should be a JSON object containing up to three LaTeX formulas representing algebraic equations.

{
    "formula1": "your_first_latex_formula_here",
    "formula2": "your_second_latex_formula_here",
    "formula3": "your_third_latex_formula_here"  // Optional
}

Response

Success Response:

• Status Code: 200 OK
• Content-Type: application/json
• Body:

  {
      "solution": {
          "x": "\frac12",
          "y": "3",
          "z": "2"
      }
  }
  

Error Responses:

• Status Code: 500
• Body: JSON object with an error message.

Example:

{
    "error": "Unknown error <the error>" 
}