Update pages/Transformation.py

pages/Transformation.py

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+import streamlit as st 
+import pandas as pd 
+
+st.subheader(":red[**Transformation**]")
+st.write("**What is Transformation?**")
+st.write("""
+a transformation refers to the operation of changing the position, size, orientation, or shape of a geometric object while maintaining some of its properties. Common types of transformations include:
+
+- Translation (shifting an object).
+- Rotation (turning an object).
+- Scaling (resizing an object).
+- Reflection (flipping an object across a line).
+- Shearing (slanting an object).
+""")
+
+st.write("**What is an Affine Transformation?**")
+st.write("""
+An affine transformation is a specific type of transformation that preserves:
+
+- Points.
+- Straight lines.
+- Parallelism (parallel lines remain parallel after the transformation).
+
+Affine transformations can include:
+
+- Translation.
+- Rotation.
+- Scaling.
+-Shearing.
+
+Affine transformations do not necessarily preserve angles or lengths, but they do maintain the general shape and relative proportions of geometric figures.
+""")
+
+st.write("**Mathematical Representation of Affine Transformations**")
+st.write("Affine transformations can be expressed using matrix multiplication and vector addition:")
+code="""
+y=A⋅x+b
+"""
+st.code(code,language="python")
+st.write("""
+Where:
+
+𝑥
+x: Input vector (original point coordinates).
+
+𝑦
+y: Output vector (transformed point coordinates).
+
+𝐴
+A: Transformation matrix (2x2 for 2D transformations).
+
+𝑏
+b: Translation vector.
+""")