User:Paul August/Sandbox

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< User:Paul August

1 Unicode
2 Table of mathematical constants
3 Distance formulas
4 Truth tables
5 I'm on vacation!
6 I'm on vacation!

Hi — this is an em-dash seperated comment — Bye

—The preceding unsigned comment was added by 83.34.209.186 (talk • contribs) 22:56, July 15, 2006 (UTC)

[edit] Unicode

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[edit] Table of mathematical constants

Symbol	Approximate Value	Name	Field	N	First Described	# of Known Digits
π	≈ 3.14159 26535 89793 23846 26433 83279 50288	Pi, Archimedes' constant or Ludoph's number	Gen, Ana	T	?	1,241,100,000,000
e	≈ 2.71828 18284 59045 23536 02874 71352 66249	Napier's constant, base of Natural logarithm	Gen, Ana	T		50,100,000,000
√2	≈ 1.41421 35623 73095 04880 16887 24209 69807	Pythagoras' constant, square root of two	Gen	I A		137,438,953,444
√3	≈ 1.73205 08075 68877 29352 74463 41505	Theodorus of Cyrene's constant, square root of three	Gen	I A
γ	≈ 0.57721 56649 01532 86060 65120 90082 40243	Euler-Mascheroni constant	Gen, NuT	?		108,000,000
φ	≈ 1.61803 39887 49894 84820 45868 34365 63811	Golden mean	Gen	A		3,141,000,000
β^*	≈ 0.70258	Embree-Trefethen constant	NuT
δ	≈ 4.66920 16091 02990 67185 32038 20466 20161	Feigenbaum constant	ChT
α	≈ 2.50290 78750 95892 82228 39028 73218 21578	Feigenbaum constant	ChT
C₂	≈ 0.66016 18158 46869 57392 78121 10014 55577	Twin prime constant	NuT			5,020
M₁	≈ 0.26149 72128 47642 78375 54268 38608 69585	Meissel-Mertens constant	NuT		1866 1874	8,010
B₂	≈ 1.90216 05823	Brun's constant for twin prime	NuT		1919	10
B₄	≈ 0.87058 83800	Brun's constant for prime quadruplets	NuT
Λ	> – 2.7 · 10^-9	de Bruijn-Newman constant	NuT		1950?
K	≈ 0.91596 55941 77219 01505 46035 14932 38411	Catalan's constant	Com			201,000,000
K	≈ 0.76422 36535 89220 66	Landau-Ramanujan constant	NuT	I (?)		30,010
K	≈ 1.13198 824	Viswanath's constant	NuT			8
B´_L	≈ 1.08366	Legendre's constant	NuT
μ	≈ 1.45136 92348 83381 05028 39684 85892 027	Ramanujan-Soldner constant	NuT			75,500
E_B	≈ 1.60669 51524 15291 763	Erdös-Borwein constant	NuT	I
Ω	?	Chaitin's constant	Inf	T
β	≈ 0.28016 94990	Bernstein's constant	Ana
λ	≈ 0.30366 30029	Gauss-Kuzmin-Wirsing constant	Com		1974	385
D(1)	≈ 0.35323 63719	Hafner-Sarnak-McCurley constant	NuT		1993
λ, μ	≈ 0.62432 99885	Golomb-Dickman constant	Com NuT		1930 1964
	≈ 0.62946 50204	Cahen's constant
	≈ 0.66274 34193	Laplace limit
	≈ 0.80939 40205	Alladi-Grinstead constant	NuT
Λ	≈ 1.09868 58055	Lengyel's constant	Com		1992
	≈ 1.18656 91104	Khinchin-Lévy constant	NuT
	≈ 1.20205 69031 59594 28539 97381	Apéry's constant			1979	1,000,000,000
θ	≈ 1.30637 78838 63080 69046	Mills' constant	NuT	?	1947
	≈ 1.45607 49485 82689 67139 95953 51116 54356	Backhouse's constant
	≈ 1.46707 80794	Porter's constant	NuT		1975
	≈ 1.53960 07178	Lieb's square ice constant	Com		1967
	≈ 1.70521 11401 05367	Niven's constant	NuT		1969
	≈ 2.58498 17596	Sierpinski's constant
	≈ 2.68545 2001	Khinchin's constant	NuT	?	1934	7350
F	≈ 2.80777 02420	Fransén-Robinson constant	Ana
L	≈ .5	Landau's constant	Ana			1

Geography of India

Continent	Asia
Region	South Asia Indian subcontinent
Coordinates	20°00'N 77°00' E
Area	Ranked 7th 3,287,590 km² (Expression error: Unrecognised punctuation character "," sq mi) 90.44% land 9.56% water
Borders	Total land borders: 14,103 km (8,763 miles) Bangladesh: 4,053 km (2,518 miles) Bhutan: 605 km (376 miles) Burma (Myanmar): 1,463 km (909 miles) China (PRC): 3,380 km (2,100 miles) Nepal: 1,690 km (1,050 miles) Pakistan: 2,912 km (1,809 miles)
Highest point	Kanchenjunga 8,598 m (28,209 ft)
Lowest point	Kuttanad −2.2 m (−7.2 ft)
Longest river	Ganges-Brahmaputra
Largest lake	Chilka Lake

Noted¹ Horses² Tina³

Contents:	A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

[edit] Distance formulas

The Euclidean distance for two points in the Euclidean plane (also called Euclidean 2-space), $P = (x 1, y 1)$ and $Q = (x 2, y 2),$ is given by the following formula:

$\sqrt{(x_1-y_1)^2 + (x_2-y_2)^2}$

This can be seen to be an application the Pythagorean theorem, since the distance between P and Q be represented as the diagonal of a right triangle whose third verticy is the point $R = (x 2, y 1).$

1-norm distance	= $\sum \left\| x_i - y_i \right\|$
2-norm distance	= $\left( \sum \left\| x_i - y_i \right\|^2 \right)^\frac{1}{2}$
p-norm distance	= $\left( \sum \left\| x_i - y_i \right\|^p \right)^\frac{1}{p}$
infinity norm distance	= $\lim_{p \to \infty} \left( \sum \left\| x_i - y_i \right\|^p \right)^\frac{1}{p} = \max \left\| x_i - y_i \right\|.$

1-norm distance	=	$\sum \left\| x_i - y_i \right\|$
2-norm distance	=	$\left( \sum \left\| x_i - y_i \right\|^2 \right)^\frac{1}{2}$
p-norm distance	=	$\left( \sum \left\| x_i - y_i \right\|^p \right)^\frac{1}{p}$
infinity norm distance	=	limit of the p norm distance as p goes to infinity $\lim_{p \to \infty} \left( \sum \left\| x_i - y_i \right\|^p \right)^\frac{1}{p}$
	=	max $\left\| x_i - y_i \right\|.$

[edit] Truth tables

The truth table for the disjunction of $\lnot A \lor \lnot B$ is:

$A$	$B$	$\lnot A$	$\lnot B$	$\lnot A \lor \lnot B$
F	F	T	T	T
F	T	T	F	T
T	F	F	T	T
T	T	F	F	F

Since the enumeration of all possible truth-values for $A$ and $B$ yields the same truth-value under both $\lnot (A \land B)$ and $\lnot A \lor \lnot B$ , the two are logically equivalent, and may be substituted for each other.

Global usage share from OneStat.com
Date	IE	Mozilla	Safari	Netscape	Opera	Source
04/29/02	97%			2.8%	0.5%
07/21/02	95%	0.4%		3.4%	0.7%
09/30/02	95%	0.8%		3.0%	0.9%
12/16/02	95%	1.1%		3.0%
02/03/03	95%	1.2%	0.11%	2.9%
07/28/03	95%	1.6%	0.25%	2.5%
01/19/04	95%	1.8	0.48		0.8%¹
05/28/04	94%	2.1%	0.71%		1.02%¹
11/22/04	89%	7.35%	0.91%		1.33%
02/28/05	87%	8.45%	1.21%	1.11%	1.09%
¹ Usage for Opera 7.0 only.

USA usage share from: WebSideStory.com
Date	IE	Firefox	Mozilla¹
06/04/04	95.48%		3.53%
11/05/04	92.89%	3.03%	5.98%
12/03/04	91.80%	4.06%	6.89%
01/14/05	90.28%	4.95%	7.59%
02/18/05	89.85%	5.69%	8.16%
¹All Netscape and Mozilla-based browsers, including Firefox.

August&dbname=enwiki

Paul August ☎

$\|f\|_\infty := \inf \{ C\ge 0 : |f(x)| \le C \mbox{ for almost every } x\}.$

$\|f\|_\infty := \inf \{ a \ge b : |f(x)| \le C \mbox{ for almost every } x\}.$

$\Delta x \Delta p \ge \frac{h}{4\pi}$

$\{ a \ge b \}$

Anons are allowed to vote on VFD and elsewhere. There is no policy (that I know of) that says that anons can't vote or that their votes don't count. Admins can, however, discount anon votes if there is "strong evidence of bad faith". For the relevant policy see: Wikipedia:Deletion guidelines for administrators. Also, it is helpful to keep in mind that decisions are made in Wikipedia by "rough consensus". Voting takes place only to help determine whether such a consensus exists.

Paul August ☎ 17:13, Dec 15, 2004 (UTC

[edit]

I'm on vacation!

In case anyone is trying to contact me, I will be unavailable until April 12th.

I'm on vacation!

In case anyone is trying to contact me, I will be unavailable for two weeks. Paul August, Nov 20, 2004

In case anyone is trying to contact me, I will be unavailable for two weeks.

[edit]

I'm on vacation!

Paul August, Nov 20, 2004

[1]

[edit] Attalid geneaology

                      Attalus = Boa  
                              |
     ------------------------------------------------------
     |               |                                    |
Philetaerus      Eumenes = Satyra                      Attalus
                         |                                |
          ---------------------                -----------------------
          |                   |                |                     |
      Eumenes I         Philetaerus (?)     Attalus = Antiochis   Eumenes (?)
                                                    |  
                                                Attalus I = Apollonis
                                                          |
               --------------------------------------------------
               |               |                |               |
            Eumenes II     Attalus II      Philetaerus      Athenaeus
               |
            Attalus III

How to do a note.¹

15:37, Oct 21, 2004 (UTC)

[javascript:void((function () {userName="JesseW";days=3;q=document.getElementsByTagName("ul");for (n=0;n<days;n++) {r="";z=q[n].childNodes; for (x=0;x<z.length;x=x+2) {if ((z[x].childNodes[7] && z[x].childNodes[7].innerHTML != userName) && (z[x].childNodes[9] && z[x].childNodes[9].innerHTML != userName)) {r=r+"<li>"+z[x].innerHTML+"</li>\n"}};q[n].innerHTML=r}})())]

[[User:Cohesion|cohesion ☎]]

Topics in Greek mythology
Gods:
Primordial gods and Titans Zeus and the Olympians Pan and the nymphs Apollo and Dionysus Sea-gods and Earth-gods
Heroes:
Heracles and his Labors Achilles and the Trojan War Jason and the Argonauts Perseus and the Gorgon Oedipus and Thebes Theseus and the Minotaur Triptolemus and the Eleusinian Mysteries Mystery religions
Related: Satyrs and centaurs Greek religion

Thanks for experimenting with Wikipedia. Your test worked, and has been reverted or removed. Please use the sandbox for any other tests you want to do. Take a look at the welcome page if you would like to learn more about contributing to our encyclopedia. Thanks.

Please stop adding nonsense to Wikipedia. It is considered vandalism. If you would like to experiment, use the sandbox. Thank you.

Please stop. If you continue to vandalize pages, you will be blocked from editing Wikipedia.

1-200

Image:Phocaea_map.jpg rv to previous version, (see Talk:Naive set theory )

See Axiomatic set theory#Well-foundedness and hypersets

to browse: http://en.wikipedia.org/w/wiki.phtml?title=Special:Allpages&from=The

$\frac{2}{4} or {2 \over 4}$

A ∪ A	= (A ∪ A) ∩ U	by the identity laws
&nbsp	= (A ∪ A) ∩ (A ∪ A′)	by the complement laws
&nbsp	= A ∪ (A ∩ A′)	by the distributive laws
&nbsp	= A ∪ ∅	by the complement laws
&nbsp	= A	by the identity laws

Pausanias says that Phocaea was founded by Phocians under Athenian leadership, on land given to them by the Aeolian Cymaeans, and that they were admitted into the Ionian confederacy (see Panionion) after accepting as kings the line of Codrus. (Pausanias, Description of Greece, 7.3.10 [2]). Pottery remains indicate Aeolian presence as late as the 9th century BC, and Ionian presence as early as the end of the 9th century BC. From this an approximate date of settlement for Phocaea can be inferred (see: [3]).

[edit] References

August, P, et al., Wikipedia, The Free Encyclopedia, Wikimedia Foundation (2005)
Knott, T , et al., Wikipedia, The Free Encyclopedia: "User:Theresa knott'", Wikimedia Foundation (2005)

[edit] Notes

¹ And now it is.

² However some scholars disagree, believing that such explanations are full of "horse shit aroma", see Knott, p 1

³ This question has of course plagued philosophers and theologians for ages, some speculate that this referes to a cultural icon from the late 20th century.

1-norm distance	=	$\sum \left\| x_i - y_i \right\|$
2-norm distance	=	$\left( \sum \left\| x_i - y_i \right\|^2 \right)^\frac{1}{2}$
p-norm distance	=	$\left( \sum \left\| x_i - y_i \right\|^p \right)^\frac{1}{p}$
infinity norm distance	=	limit of the p norm distance as p goes to infinity $\lim_{p \to \infty} \left( \sum \left\| x_i - y_i \right\|^p \right)^\frac{1}{p}$
	=	max $\left\| x_i - y_i \right\|.$

User:Paul August/Sandbox

From Wikipedia, the free encyclopedia

Contents

[edit] Unicode

[edit] Table of mathematical constants

[edit] Distance formulas

[edit] Truth tables

[edit]

I'm on vacation!

[edit]

I'm on vacation!

[edit] Attalid geneaology

[edit] References

[edit] Notes

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