Your assumptions about digit distribution of transcendental numbers are incorrect. There are 2 separate concepts: Transcendental numbers are number like e and π and a=10^-(1!)+10^-(2!)+10^-(3!)+10^-(4!)+... which are not roots of equations with rational coefficients. Normal numbers are numbers (like 0.12345678910111213141516..., although that is hard to prove!) that have every finite sequence of digits (either in their base-10 representation (or some other base) or, if you take the stronger more common definition, in all bases) appearing at the "appropriate" frequency.

It is not known whether π is normal. (See my writeup on Everything2 for details and more links). It is known that many transcendental numbers are not normal. For instance, the number a above cannot be normal, as the only digits appearing in its decimal representation are 0 and 1.

---

---

Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!

Titles consisting of a single word are discouraged, and in most cases are disallowed outright.

Read Where should I post X? if you're not absolutely sure you're posting in the right place.

Please read these before you post! —

• How do I compose an effective node title?
• How do I post a question effectively?
• Markup in the Monastery

Posts may use any of the Perl Monks Approved HTML tags:

a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr

You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)

	For:		Use:
	&		&
	<		&lt;
	>		&gt;
	[		&#91;
	]		&#93;

Link using PerlMonks shortcuts! What shortcuts can I use for linking?

See Writeup Formatting Tips and other pages linked from there for more info.