streamlit numpy sympy matplotlib scipy pandas

import streamlit as st import numpy as np import sympy as sp import matplotlib.pyplot as plt from sympy.plotting import plot from sympy import symbols, sin, cos, tan st.set_page_config(page_title="VMathLab Ultimate", layout="wide") st.title("VMathLab Ultimate 2.0: Complete Interactive Math Lab") # Sidebar: Module selection module = st.sidebar.selectbox("Hitamo Module:", [ "Algebra", "Calculus", "Trigonometry", "Linear Algebra", "Statistics", "Differential Equations", "Graphing", "Number Theory" ]) x = symbols('x') # --------------------- Algebra --------------------- if module == "Algebra": st.header("Algebra Module") eq_input = st.text_input("Shyiramo equation (urugero: x**2 - 5*x + 6):") if eq_input: try: expr = sp.sympify(eq_input) solutions = sp.solve(expr, x) st.write(f"Solutions: {solutions}") except: st.error("Error: Enter a valid algebraic expression.") # --------------------- Calculus --------------------- elif module == "Calculus": st.header("Calculus Module") func_input = st.text_input("Shyiramo function (urugero: x**3 - 2*x + 1):") if func_input: try: func = sp.sympify(func_input) st.write(f"Derivative: {sp.diff(func, x)}") st.write(f"Integral: {sp.integrate(func, x)} + C") except: st.error("Error: Enter a valid function.") # --------------------- Trigonometry --------------------- elif module == "Trigonometry": st.header("Trigonometry Module") trig_func = st.selectbox("Hitamo function:", ["sin(x)", "cos(x)", "tan(x)"]) x_vals = np.linspace(-2*np.pi, 2*np.pi, 400) if trig_func == "sin(x)": y_vals = np.sin(x_vals) elif trig_func == "cos(x)": y_vals = np.cos(x_vals) else: y_vals = np.tan(x_vals) fig, ax = plt.subplots() ax.plot(x_vals, y_vals, label=trig_func) ax.set_title(f"{trig_func} plot") ax.grid(True) st.pyplot(fig) # --------------------- Linear Algebra --------------------- elif module == "Linear Algebra": st.header("Linear Algebra Module") st.write("Matrix Calculator") matrix_input = st.text_area("Shyiramo matrix (urugero: [[1,2],[3,4]]):") if matrix_input: try: mat = np.array(eval(matrix_input)) st.write("Determinant:", np.linalg.det(mat)) st.write("Inverse (if exists):", np.linalg.inv(mat)) except: st.error("Invalid matrix input.") # --------------------- Statistics --------------------- elif module == "Statistics": st.header("Statistics Module") data_input = st.text_area("Shyiramo data (urugero: 1,2,3,4,5):") if data_input: try: data = np.array([float(i) for i in data_input.split(",")]) st.write("Mean:", np.mean(data)) st.write("Median:", np.median(data)) st.write("Variance:", np.var(data)) except: st.error("Invalid data input.") # --------------------- Differential Equations --------------------- elif module == "Differential Equations": st.header("Differential Equations Module") de_input = st.text_input("Shyiramo DE (urugero: f(x).diff(x) - f(x) = 0):") f = sp.Function('f') if de_input: try: de = eval(de_input) sol = sp.dsolve(de) st.write("Solution:", sol) except: st.error("Invalid differential equation.") # --------------------- Graphing --------------------- elif module == "Graphing": st.header("Graphing Module") func_input = st.text_input("Shyiramo function y(x):") x_min = st.number_input("X min", value=-10.0) x_max = st.number_input("X max", value=10.0) color = st.color_picker("Graph Color", "#FF0000") if func_input: try: x_vals = np.linspace(x_min, x_max, 400) f = sp.lambdify(x, sp.sympify(func_input), "numpy") y_vals = f(x_vals) fig, ax = plt.subplots() ax.plot(x_vals, y_vals, color=color, label=func_input) ax.axhline(0, color='black', linewidth=0.7) ax.axvline(0, color='black', linewidth=0.7) ax.grid(True) ax.legend() st.pyplot(fig) except: st.error("Enter a valid function.") # --------------------- Number Theory --------------------- elif module == "Number Theory": st.header("Number Theory Module") num = st.number_input("Shyiramo integer:", step=1) if num: try: def is_prime(n): if n < 2: return False for i in range(2,int(n**0.5)+1): if n % i == 0: return False return True st.write(f"Prime: {is_prime(num)}") st.write("Factors:", [i for i in range(1,num+1) if num % i == 0]) except: st.error("Invalid input.")

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# VMathLab Pro **VMathLab Pro** ni **interactive Quadratic Function Graphing Calculator** yakozwe na Viateur. Iyi app igufasha gusobanukirwa no kugaragaza **quadratic functions** nko: - Kubara **roots** (aho graph ihura na x-axis) - Kwerekana **vertex** (igicumbi cya parabola) - Kwerekana **axis of symmetry** - Gukora **interactive graph** aho ushobora guhindura parameters n’amabara --- ## Screenshot  --- ## Features - Input parameters: `a`, `b`, `c` - Interactive graph update uko uhindura **x-range, color, line style** - Real and complex roots display - Vertex and axis of symmetry highlighted on the graph - Modern, interactive UI --- ## How to Run 1. Clone this repository: ```bash git clone https://huggingface.co/VIATEUR-AI/VMathLab

import streamlit as st import numpy as np import matplotlib.pyplot as plt st.title("VMathLab Pro: Interactive Quadratic Graphing Calculator") # Inputs st.sidebar.header("Quadratic Function Parameters") a = st.sidebar.number_input("Shyiramo a:", value=1.0) b = st.sidebar.number_input("Shyiramo b:", value=0.0) c = st.sidebar.number_input("Shyiramo c:", value=0.0) st.sidebar.header("Graph Settings") x_min = st.sidebar.number_input("X min:", value=-10.0) x_max = st.sidebar.number_input("X max:", value=10.0) color = st.sidebar.color_picker("Graph Color", "#FF0000") line_style = st.sidebar.selectbox("Line Style", ['-', '--', '-.', ':']) # Kubara discriminant na roots D = b**2 - 4*a*c if D > 0: root1 = (-b + np.sqrt(D)) / (2*a) root2 = (-b - np.sqrt(D)) / (2*a) st.write(f"Roots ebyiri: x1 = {root1}, x2 = {root2}") elif D == 0: root1 = -b / (2*a) st.write(f"Root imwe: x = {root1}") else: st.write("Roots complex:") real_part = -b / (2*a) imag_part = np.sqrt(-D) / (2*a) st.write(f"x1 = {real_part} + {imag_part}i") st.write(f"x2 = {real_part} - {imag_part}i") # Vertex na axis of symmetry vertex_x = -b / (2*a) vertex_y = a*vertex_x**2 + b*vertex_x + c st.write(f"Vertex: ({vertex_x}, {vertex_y})") st.write(f"Axis of Symmetry: x = {vertex_x}") # Graph x = np.linspace(x_min, x_max, 400) y = a*x**2 + b*x + c fig, ax = plt.subplots() ax.plot(x, y, color=color, linestyle=line_style, label=f'{a}x^2 + {b}x + {c}') ax.axhline(0, color='black', linewidth=0.7) ax.axvline(0, color='black', linewidth=0.7) ax.scatter(vertex_x, vertex_y, color='blue', label='Vertex') ax.axvline(vertex_x, color='blue', linestyle='--', linewidth=0.7, label='Axis of Symmetry') ax.set_title("Graph of Quadratic Function") ax.set_xlabel("x") ax.set_ylabel("y") ax.legend() ax.grid(True) st.pyplot(fig)

app.py

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# VMathLab VMathLab ni interactive app igaragaza graphs za **quadratic functions**. - Input: a, b, c (coefficients) - Output: Roots + Graph Ikorwa muri Python na Streamlit. Ishobora gushyirwa kuri Hugging Face Spaces.

streamlit numpy matplotlib

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