| T.R | Title | User | Personal
Name | Date | Lines |
|---|
| 1518.1 | another name for this? | STAR::ABBASI | | Wed Nov 06 1991 23:16 | 6 |
| is this theory called by a different name? i've looked the index of
what books i have and did not see a 'Lindemann-Weierstrass' theorm.
there are offcourse other Weierstrass theorms, but i did not see the
above as is.
must be new theory and not in the "text" books yet ?
/nasser
|
| 1518.2 | Lindemann's theorem | GIDDAY::FERGUSON | Murphy was an optimist | Thu Nov 07 1991 06:34 | 10 |
| I believe it's known simply as the "Lindemann theorem". One of its
reults is that either � or exp� is transcendental when � is non-zero;
thus log� and exp� are transcendental for algebraic arguments �. From this,
pi's transcendentality follows, since exp(2.pi.i) = 1. I wouldn't call it
a new theory though; it was named after the German analyst and geometer,
Carl Louis Ferdinand von Lindemann (1852-1939). Not to be confused with
another very important theory of transcendental numbers, the
Gelfond-Schneider theorem, or simply Gelfond's theorem.
James.
|
| 1518.3 | | ZFC::deramo | I've seen it raining fire in the sky. | Thu Nov 07 1991 08:09 | 4 |
| The title is too long for terminal based notes; the last
word is "Theorem" not "Theory". Reply .2 describes it.
Dan
|
| 1518.4 | are they different? | STAR::ABBASI | | Thu Nov 07 1991 11:28 | 2 |
| is there a difference between a 'theory' and a 'theorem' ? if so
what is it?
|
| 1518.5 | | ZFC::deramo | I've seen it raining fire in the sky. | Thu Nov 07 1991 12:09 | 6 |
| Phrases like "set theory" or "number theory" or "group theory"
seem to refer to a body of work in that field. The base note
was just talking about one particular result, or theorem, in
number theory.
Dan
|