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Browse High School Transcendental Numbers

Stars indicate particularly interesting answers or good places to begin browsing.



Proving Transcendence [05/15/1999]
How does one prove transcendence in a number?

The Reality of e [7/26/1996]
Does e exist outside of the classroom? Can I find it in nature?

Solving the Equation x^y = y^x [12/09/2004]
Solve x^y = y^x for x in terms of y only. Also, how do I find all possible solutions beyond the obvious ones of x = y, (2,4), and (4,2)?

Transcendental numbers [11/17/1994]
We just learned about e today and how it is similar to pi because it is irrational without a radical. Are there any other transcendental numbers, and if so, how are they used?

Transcendental Numbers [5/31/1996]
a=.110001000000000000000001..... Where is the next 1?

Trisecting a Line [01/25/1998]
Is it possible to trisect a line? (Using propositions 1-34, Book 1 of Euclid's elements.)

What is e? A Ratio? [7/25/1996]
Pi is the ratio of the circumference of a circle to its diameter. Is there a similar explanation for e?

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