User:MarSch

From Wikipedia, the free encyclopedia

[edit] Medicine patents

[edit] The joys of good math notation

If e is a bivector, then we have $e^{ix} = -e^{xi}\;$ or equivalently $e^{ij} = -e^{ji}\;$ . In quaternions much the same formula is true. We have $\mathrm{e}^{\mathrm{i}\mathrm{j}} = \mathrm{e}^{-\mathrm{j}\mathrm{i}} = \mathrm{e}^\mathrm{k}\;$ , but $\mathrm{e}^{\mathrm{i}x} = \mathrm{e}^{-x\mathrm{i}}\;$ holds only if x is purely quaternionic: $x = j\mathrm{j} + k\mathrm{k}\;$ for real j and k.

Now let x, p, d and μ be real numbers and e a bivector on a compact 2-manifold R. Then we can calculate the integral $\int_R expd\mu \in \mathbf{R}$ and it is a real number. On the other hand it is much easier to simply calculate $\int_\mathbf{R} \exp \; \mathrm{d\mu} = \infty$ , because it is infinity. Unfortunately Greek letters are autoitalicized.

This stuff is all pretty simple. Let's get into some deeper waters.

Let $i := ({}^0_\mathrm{i} {}^{-\mathrm{i}}_0)\;$ . Then $i^2 = 1\;$ so we have $\mathrm{e}^{ix} = \cosh x + i \sinh x\;$ . On the other hand $\mathrm{e}^{\mathrm{i}x} = \cos x + \mathrm{i} \sin x\;$ .

[edit] Main page subdivision hacking

[edit] Misc hacking

take closer look at User:Korath/autovfd.js

[edit] Articles significantly edited

Mathematics, manifold, topological manifold, differentiable manifold, Laplace operator, scalar, scalar field, bijection, injection and surjection

[edit] Wikipedia links

[edit] Article links

[edit] Illegal numbers

I am in support of fully stating illegal primes, AACS encryption keys and other numbers and facts while they pose no legal risk to Wikipedia and while no official decision from the operators of Wikipedia has been made to censor such numbers.

[edit] more links

Wikipedia:Babel

nl	Deze gebruiker spreekt Nederlands als moedertaal.

en-4

This user speaks English at a near-native level.

de-2

Dieser Benutzer hat fortgeschrittene Deutschkenntnisse.

fr-2

Cet utilisateur peut contribuer avec un niveau intermédiaire en français.

eo-1

Ĉi tiu uzanto povas komuniki per baza nivelo de Esperanto

io-1

Ta uzanto povas komunikar per bazala nivelo di Ido.

la-1

Hic usor simplici latinitate contribuere potest.

grc-1

Ὅδε ὁ χρήστης δύναται συνεισφέρειν ὀλίγῃ γνώσει τῆς ἀρχαίας ἑλληνικῆς.

This user is a cat lover.

ath

This user is interested in atheism.

This user is an expert mathematician.

C++

This user can program in C++.

SI	This user prefers the metric system of measurement.

This user exercises regularly and drinks a lot of water to stay hydrated.

LOTR

This user loves The Lord of the Rings book series but not the film trilogy. This user may prefer the 1978 animated film to the film trilogy.

Secondhand smoke is one of this user's pet peeves.

Search user languages

See also ebooksgratis.com: no banners, no cookies, totally FREE.

User:MarSch

From Wikipedia, the free encyclopedia

Contents

[edit] Medicine patents

[edit] The joys of good math notation

[edit] Main page subdivision hacking

[edit] Misc hacking

[edit] Articles significantly edited

[edit] Wikipedia links

[edit] Article links

[edit] Template links

[edit] Illegal numbers

[edit] more links

Views

Navigation

Interaction

Search