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This video introduces the idea of a 3-Form including its definition and how it acts on vectors to yield the volume spanned by the vectors. It looks at tangent spaces and how these spaces are related to vectors and 3-forms using pictorial representations to support the ideas covered.
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Sumanthuuuu on Instagram: "Spent 3 hours solving all three Pascal’s Triangle variations, mastered the nCr combinatorics approach! Solved Variation I (find specific element at row r, column c using nCr formula), Variation I| (generate entire row using optimized nCr calculation), and Variation I|I (generate complete Pascal’s Triangle by building each row iteratively). The key insight: instead of computing factorials directly which causes overflow, I optimized nCr by calculating res = res * (n-i) |
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Sumanthuuuu on Instagram: "Spent 3 hours solving all three Pascal’s Triangle variations, mastered the nCr combinatorics approach! Solved Variation I (find specific element at row r, column c using nCr formula), Variation I| (generate entire row using optimized nCr calculation), and Variation I|I (generate complete Pascal’s Triangle by building each row iteratively). The key insight: instead of computing factorials directly which causes overflow, I optimized nCr by calculating res = res * (n-i) |
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