Question

Prefing; he bauchy schesarte Inequedity \[ \left.\left(\sum_{i=1}^{n} x_{i} y_{i}\right)^{2} \leq\left(\sum_{i=1}^{n} x_{i}^{2}\right)_{i=1}^{n} \sum_{i}^{2}\right) \]

          Prefing; he bauchy schesarte Inequedity
\[
\left.\left(\sum_{i=1}^{n} x_{i} y_{i}\right)^{2} \leq\left(\sum_{i=1}^{n} x_{i}^{2}\right)_{i=1}^{n} \sum_{i}^{2}\right)
\]

Prefing; he bauchy schesarte Inequedity

.(∑i=1^n xi yi)^2≤(∑i=1^n xi^2)i=1^n∑i^2)

Added by Daniel J.

The Chemistry Maths Book

Erich Steiner 2nd Edition

Chapter 7

Instant Answer

Solved by Expert Matthew Wagner

Step 1

It states that for any real or complex numbers \(x_1, x_2, \ldots, x_n\) and \(y_1, y_2, \ldots, y_n\), the following inequality holds: \[ \left( \sum_{i=1}^{n} x_i y_i \right)^2 \leq \left( \sum_{i=1}^{n} x_i^2 \right) \left( \sum_{i=1}^{n} y_i^2 \right) \] Show more…

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Prefing; he bauchy schesarte Inequedity \[ \left.\left(\sum_{i=1}^{n} x_{i} y_{i}\right)^{2} \leq\left(\sum_{i=1}^{n} x_{i}^{2}\right)_{i=1}^{n} \sum_{i}^{2}\right) \]