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Resources
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Definition
Lagrange's four-square theorem: Every non-negative integer can be expressed as the sum of four squares.
For example:
9 = 12 + 22 + 22 + 02
36 = 52 + 32 + 12 + 12
Background Information
- Lagrange's four-square theorem - Wikipedia [View Resource]
- Lagrange's Four-Square Theorem - MathWorld [View Resource]
- Adrien-Marie Legendre Life and Work [View Resource]
K-12 Lesson Plans, Proofs and Science Fair Projects
- Lagrange's four-square theorem proof [View Resource]
- An applet decomposing numbers as sums of four squares [View Resource]
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A New Method to Prove Euler's Equation by Using the Lagrange Mean Value Theorem[View Resource]
- Lagrange Four Square Theorem (Bachet Conjecture) Calculation ind Instructions [View Resource]
- Lagrange's Four Square Theorem Proof [View Resource]
Undergraduate Lesson Plans, Proofs, Studies and Articles
- Representations of binary forms by quinary quadratic forms [View Resource]
- Lagrange's four-square theorem proof using convex geometry [View Resource]
- A Proof of Lagrange's Four Square Theorem Using Quaternion Algebras [View Resource]
- Cosets and Cardinality Lesson [View Resource]
- Patterns in Prime Numbers: The Quadratic Reciprocity Law [View Resource]
Theses and Dissertations
- Convex functions and optimization techiniques [View Resource]
- Automatic Formulation of Lagrangian DAEs [View Resource]
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