User:Paul August/Sandbox
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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' 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 | ||
EB
| ≈ 1.60669 51524 15291 763 | Erdös-Borwein constant | NuT | I | ||
Ω
| ? | Chaitin's constant | Inf | T | ||
β
| ≈ 0.28016 94990 | Bernstein's constant[1] (http://mathworld.wolfram.com/BernsteinsConstant.html) | Ana | |||
λ
| ≈ 0.30366 30029 | Gauss-Kuzmin-Wirsing constant[2] (http://mathworld.wolfram.com/Gauss-Kuzmin-WirsingConstant.html) | Com | 1974 | 385 | |
D(1)
| ≈ 0.35323 63719 | Hafner-Sarnak-McCurley constant[3] (http://mathworld.wolfram.com/Hafner-Sarnak-McCurleyConstant.html) | NuT | 1993 | ||
μ
| ≈ 0.62432 99885 | Golomb-Dickman constant[4] (http://mathworld.wolfram.com/Golomb-DickmanConstant.html) | Com NuT | align=right 1930 1964 |
NotedTemplate:Rf HorsesTemplate:Rf TinaTemplate:Rf
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 |
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Distance formulas
The Euclidean distance for two points in the Euclidean plane (also called Euclidean 2-space), <math> P = (x_1, y_1) <math> and <math> Q = (x_2, y_2), <math> is given by the following formula:
- <math>\sqrt{(x_1-y_1)^2 + (x_2-y_2)^2} <math>
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 <math> R = (x_2, y_1). <math>
1-norm distance | = <math>\sum \left| x_i - y_i \right|<math> |
2-norm distance | = <math>\left( \sum \left| x_i - y_i \right|^2 \right)^\frac{1}{2}<math> |
p-norm distance | = <math>\left( \sum \left| x_i - y_i \right|^p \right)^\frac{1}{p}<math> |
infinity norm distance | = <math>\lim_{p \to \infty} \left( \sum \left| x_i - y_i \right|^p \right)^\frac{1}{p} = \max \left| x_i - y_i \right|.<math> |
1-norm distance | = | <math>\sum \left| x_i - y_i \right|<math> | |
2-norm distance | = | <math>\left( \sum \left| x_i - y_i \right|^2 \right)^\frac{1}{2}<math> | |
p-norm distance | = | <math>\left( \sum \left| x_i - y_i \right|^p \right)^\frac{1}{p}<math> | |
infinity norm distance | = | limit of the p norm distance as p goes to infinity
<math>\lim_{p \to \infty} \left( \sum \left| x_i - y_i \right|^p \right)^\frac{1}{p}<math> |
|
= | max <math>\left| x_i - y_i \right|.<math> |
The truth table for the disjunction of <math>\lnot A \lor \lnot B<math> is:
<math>A<math> | <math>B<math> | <math>\lnot A<math> | <math>\lnot B<math> | <math> \lnot A \lor \lnot B <math> |
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 <math>A<math> and <math>B<math> yields the same truth-value under both <math>\lnot (A \land B)<math> and <math>\lnot A \lor \lnot B<math>, the two are logically equivalent, and may be substituted for each other.
USA usage share from: WebSideStory.com (http://www.websidestory.com/services-solutions/datainsights/spotlight.html) | ||||||
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 (http://zwinger.wikimedia.org/~kate/cgi-bin/count_edits.cgi?user=Paul)
- <math>\|f\|_\infty := \inf \{ C\ge 0 : |f(x)| \le C \mbox{ for almost every } x\}.<math>
- <math>\|f\|_\infty := \inf \{ a \ge b : |f(x)| \le C \mbox{ for almost every } x\}.<math>
- <math>\Delta x \Delta p \ge \frac{h}{4\pi} <math>
- <math> \{ a \ge b \} <math>
- 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
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<center> I'm on vacation! </center>
In case anyone is trying to contact me, I will be unavailable for two weeks.
Paul August, Nov 20, 2004
[19] (http://en.wikipedia.org/w/wiki.phtml?title=Wikipedia:Featured+article+candidates&limit=20&offset=8000&action=history)
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 | |
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Gods: | |
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Heroes: | |
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Related: |
Thanks for experimenting with Wikipedia. Your test worked, and has now been removed. Please use Wikipedia:Sandbox for any other tests you want to do, since testing in articles will be reverted quickly. Please see 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 want to experiment, please use the sandbox. Thank you.
Please stop. If you continue to vandalize pages, you will be blocked from editing Wikipedia.
1-200 (http://en.wikipedia.org/w/wiki.phtml?title=Special:Contributions&limit=200&target=Paul_August)
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
<math>\frac{2}{4} or {2 \over 4}<math>
A ∪ A | = (A ∪ A) ∩ U | by the identity laws | |
  | = (A ∪ A) ∩ (A ∪ A′) | by the complement laws | |
  | = A ∪ (A ∩ A′) | by the distributive laws | |
  | = A ∪ ∅ | by the complement laws | |
  | = 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 [20] (http://www.perseus.tufts.edu/cgi-bin/ptext?lookup=Paus.+7.3.1)). 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: [21] (http://www.perseus.tufts.edu/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.04.0006%3Aid%3Dphokaia)).
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)
Notes
Template:Ent And now it is. Template:Ent However some scholars disagree, believing that such explanations are full of "horse shit aroma", see Knott, p 1 (http://en.wikipedia.org/w/index.php?title=User:Theresa_knott&diff=0) Template:Ent 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.