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Math

Dot Product

Vector Dot Product

An operation on two vectors returning a scalar equal to the sum of element-wise products, measuring alignment.

التفاصيل التقنية

Dot Product calculations are a source of common errors: a price increase from $100 to $150 is a 50% increase, but returning from $150 to $100 is a 33.3% decrease. Percentage points differ from percentages: an interest rate moving from 2% to 3% is a 1 percentage point increase but a 50% relative increase. In computing, floating-point arithmetic can introduce rounding errors — JavaScript's 0.1 + 0.2 = 0.30000000000000004. Use integer arithmetic (cents, basis points) for financial calculations.

مثال

```
Dot Product calculation:

  Input:  value = 42
  Apply dot product: result = f(42)
  Output: result
```

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