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| # **App Name**: Lagrange Leap | |
| ## Core Features: | |
| - Data Input: User input for data points (x, y) for interpolation. | |
| - Specify Interpolation Point: Allows the user to define the point at which they wish to estimate a function's value using interpolation. | |
| - Interpolation Calculation: Calculation of Lagrange interpolation polynomial and interpolated value. | |
| - Result Display: Display the calculated interpolated value at the specified point. | |
| - Polynomial Display: Displaying the Lagrange polynomial so the user can inspect the computation | |
| ## Style Guidelines: | |
| - Primary color: Deep blue (#3F51B5) to convey a sense of mathematical precision and reliability. | |
| - Background color: Light gray (#F0F2F5), offering a neutral backdrop that ensures readability and focuses user attention on the data and results. | |
| - Accent color: Vibrant orange (#FF9800), drawing attention to important interactive elements and results. | |
| - Body and headline font: 'Inter' sans-serif font, lending the interface a clean and modern feel for improved readability. Suitable for both headlines and body text. | |
| - Simple, geometric icons to represent data points and functions. | |
| - Clear, structured layout with distinct sections for input, calculation, and results. | |
| - Subtle transitions for displaying results and highlighting interactions. |