how summation works and it's actually very simple#maths
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Integration vs Summation. Continuous vs Discrete. Same sine curve — different mathematics. What’s the difference between: ∫ sin(x) dx and Σ sin(x) They may look similar, but they are fundamentally different. 1️⃣ Integration of sin(x) ∫ sin(x) dx = −cos(x) C Integration gives the continuous accumulated area under the sine curve. Graphically: You are measuring smooth area under a smooth wave. 2️⃣ Summation of sin(x) Σ sin(xₖ) Summation adds discrete sampled values of the sine function. Graphically
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TikTokphyxon_17
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