# Browse Classroom Capsules and Notes

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Displaying 1121 - 1130 of 1135

It is shown that (b - a)/(ln b - ln a) fits between the arithmetic and geometric mean.

A new technique is described for providing a geometric interpretation of a function of a complex variable.

Two proofs, one from calculus I, one from calculus II, that 1 - x^r < r*(1 - x).

Now is the time for all good men to do mathematics. Work, work, work more. Count, add, subtract, and more. MathDL now is MAAs pathway within the National Science Digital Library. Other features...
Now is the time for all good men to do mathematics. Work, work, work more. Count, add, subtract, and more. MathDL now is MAA?s pathway within the National Science Digital Library. Other features...
The author provides an elementary proof of the reflection property of the ellipse, without using calculus.
The author presents a geometric proof for the sum of a geometric series by using similar triangles.

If $$s_n$$ is the product of the entries in the $$n$$th row of Pascal's Triangle and $$r_n = s_n/s_{n-1}$$, then a proof is given of the fact that \( \lim_{n \rightarrow \infty} r_n/r_{n-1} =...

Capsules on sequences and series
The author describes how small truncation errors propagated dramatically on the Vancouver stock exchange.