Trajectory - Revision history

en>DOwenWilliams: added note

2014-10-31T01:15:54Z

added note

← Older revision		Revision as of 03:15, 31 October 2014
Line 1:		Line 1:
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It would be good to believe that with her family becoming there for her Jamie will be ok but appear at the condition Britney is in.

en>SilkTork: clean up

2014-02-27T14:54:55Z

clean up

← Older revision		Revision as of 16:54, 27 February 2014
Line 1:		Line 1:
	In [[mathematics]], a [[binary relation]] ''R'' over a [[Set (mathematics)\|set]] ''X'' is '''symmetric''' if it holds for all ''a'' and ''b'' in ''X'' that if ''a'' is related to ''b'' then ''b'' is related to ''a''.

	~~In [[mathematical notation]], this is:~~

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Otherwise, you might finish up ruining your finances and even your relationship with your family.<br><br>Another card sport is Texas Holdem. Top on the checklist that consists of a mixture of luck and ability is blackjack games. There are different types of blackjack but still with the same rule. What is more well-liked than card games in on line casino? Card games has many sorts to choose from that produced it the most-played casino sport, whether on-line or offline. It is a variation of poker games.<br><br>This doesn't imply that if you play $50 that you will win $48. If a sign states there is a 98%25 payback, you know it is a free Slot machine. Some of these games have a higher payback and better odds. This indicates more than a time period of time (1000's sometimes millions of spins) the pay out will be 98%twenty five. [http://freetowerdefensegames.org/profile/shteakle Svenska casinon på nätet] You could shed all of your money or hit a jackpot. 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It would be good to believe that with her family becoming there for her Jamie will be ok but appear at the condition Britney is in.

	~~'''Note~~:~~''' symmetry is '''~~not'~~'' the exact opposite~~ of ~~''[[antisymmetric relation\|antisymmetry]]'' (''aRb''~~ and ~~''bRa'' implies ''b'' = '~~'a~~'')~~. ~~There~~ are ~~relations which are both symmetric and antisymmetric ([[equality (mathematics)\|equality]] and its subrelations~~, ~~including~~, ~~[[vacuous truth\|vacuously]]~~, the ~~empty relation), there are relations~~ which ~~are neither symmetric nor antisymmetric (~~the ~~relation "divides"~~ on the ~~set ℤ;~~ the ~~relation "preys~~ on" in ~~biological sciences)~~, there ~~are relations which are symmetric and not antisymmetric ([[congruence relation\|congruence]] [[modular arithmetic\|modulo]]~~ ''~~n'')~~, and ~~there are relations which~~ are not ~~symmetric~~ but ~~are antisymmetric ("~~is ~~less than or equal~~ to").

	~~A symmetric relation~~ that ~~is also [[transitive relation\|transitive]]~~ and [~~[reflexive relation\|reflexive]~~] is ~~an [[equivalence relation]]~~.

	~~==Graph-theoretic interpretation==~~
	~~In an [[undirected graph]]~~, the ~~relation over the set~~ of ~~[[vertex (graph theory)\|vertices]]~~ of ~~the graph under which ''v''~~ and ~~''w''~~ are ~~related if and only if they are adjacent forms~~ a ~~symmetric relation~~. ~~Conversely,~~ if ~~''R''~~ is a ~~symmetric relation over a set ''X''~~, ~~one can interpret~~ it ~~as describing an undirected graph with the elements~~ of '~~'X'' as~~ the ~~vertices and~~ the ~~pairs~~ in '~~'R'' as~~ the ~~edges. Thus~~, ~~symmetric relations~~ and ~~undirected graphs are combinatorially equivalent objects~~.

	~~==Examples==~~

	* "is ~~married~~ to" is a ~~symmetric relation, while "is less~~ than~~" is not~~.
	* "is equal to~~" ([[equality (mathematics)\|equality]])~~
	* "is [[comparability\|comparable]] to~~" for a [[partial order]]~~
	* "... is odd and ... is ~~odd too":~~

	~~::::::[[Image:Bothodd~~.~~png]]~~

	~~==See also==~~
	* [[Symmetry in mathematics]]
	* [[Asymmetric relation]]
	* [[Antisymmetric relation]]

	~~[[Category:Mathematical relations]]~~
	~~[[Category:Symmetry]]~~

en>Discospinster: Reverted edits by 23.242.13.106 (talk) to last revision by ClueBot NG (HG)

2014-01-28T03:03:57Z

Reverted edits by 23.242.13.106 (talk) to last revision by ClueBot NG (HG)

← Older revision		Revision as of 05:03, 28 January 2014
Line 1:		Line 1:
	~~If you are trying to find fad diets that work quickly~~, all ~~we have to do is~~ a ~~rapid look online or ask about. There~~ is ~~an abundance of diets that all promise~~ to ~~shed the pounds off fast. Is this actually true? Do they certainly work? This article may offer info on fad diets, how they function and whenever it~~'~~s the proper time~~ to ~~utilize them~~.<br><br>~~The cabbage soup diet~~ is ~~considered to be among~~ the ~~right fad~~ [~~http://ruthculloch75~~.~~blogspot.com/ diet plans~~]~~. In this diet~~, ~~1 is expected to have only cabbage soup~~, ~~some veggies~~, ~~plus fruits daily. You~~ are ~~able to have cabbage soup for breakfast~~, ~~lunch, snacks, dinner~~, or ~~somewhat have it because various occasions because you feel hungry~~. ~~But, one should note~~ that ~~this diet ought to be followed only for 3~~-~~7 days~~, ~~plus is not suggested for a longer time duration.<br><br>These food arrive as single servings thus we eat really~~ the ~~proper amount to stay in a calorie count. All you need to do is warm~~ the ~~meal in~~ the ~~microwave~~ and ~~enjoy~~. ~~Along with removing temptation~~, ~~diet plans furthermore remove the difficulty associated~~ with ~~meal planning and shopping when we go on a diet. Forget all complicated stuff. Just purchase~~ the ~~food that appeal to you plus they usually arrive at your door. If you don~~'~~t desire to choose~~ and ~~choose your food you can even allow~~ the ~~firm choose~~ the ~~meals for you thus we have a balanced diet~~.~~<br><br>If you want to lose weight rapidly (like 48 hours)~~, ~~this diet can interest you~~. ~~For 48 hours all we are allowed~~ to ~~consume~~ is a ~~special fruit juice~~. It is ~~supposed~~ to ~~have all which your body needs~~ for ~~which time~~. ~~Many individuals have reported substantial fat loss inside those 48 hours~~. ~~The question~~ is~~, what occurs inside the next 48?<br><br>diets are rigid~~ and ~~boring! So what happens whenever somebody falls off the wagon? They usually just throw in the towel plus chalk it up to another diet that didnt work~~. Or worse then which they beat themselves up and consider themselves failures. This continues till the next magic diet comes along.<br><br>Another of the healthy eating facts for kids would be the importance of dairy. ~~Your child's bones are nonetheless developing~~. ~~This signifies that calcium~~ is ~~essential~~. ~~Dairy goods are really excellent~~ in calcium. All we should do is look for low fat treatments like skim or 1% milk plus low fat cheeses.<br><br>As we can see, these five healthy eating facts for kids can make it much simpler for you to receive started creating sure the own child is eating healthy for a greater future.		In [[mathematics]], a [[binary relation]] ''R'' over a [[Set (mathematics)\|set]] ''X'' is '''symmetric''' if it holds for all ''a'' and ''b'' in ''X'' that if ''a'' is related to ''b'' then ''b'' is related to ''a''.

			In [[mathematical notation]], this is:

			:<math>\forall a, b \in X,\ a R b \Rightarrow \; b R a.</math>

			'''Note:''' symmetry is '''not''' the exact opposite of ''[[antisymmetric relation\|antisymmetry]]'' (''aRb'' and ''bRa'' implies ''b'' = ''a''). There are relations which are both symmetric and antisymmetric ([[equality (mathematics)\|equality]] and its subrelations, including, [[vacuous truth\|vacuously]], the empty relation), there are relations which are neither symmetric nor antisymmetric (the relation "divides" on the set ℤ; the relation "preys on" in biological sciences), there are relations which are symmetric and not antisymmetric ([[congruence relation\|congruence]] [[modular arithmetic\|modulo]] ''n''), and there are relations which are not symmetric but are antisymmetric ("is less than or equal to").

			A symmetric relation that is also [[transitive relation\|transitive]] and [[reflexive relation\|reflexive]] is an [[equivalence relation]].

			==Graph-theoretic interpretation==
			In an [[undirected graph]], the relation over the set of [[vertex (graph theory)\|vertices]] of the graph under which ''v'' and ''w'' are related if and only if they are adjacent forms a symmetric relation. Conversely, if ''R'' is a symmetric relation over a set ''X'', one can interpret it as describing an undirected graph with the elements of ''X'' as the vertices and the pairs in ''R'' as the edges. Thus, symmetric relations and undirected graphs are combinatorially equivalent objects.

			==Examples==

			* "is married to" is a symmetric relation, while "is less than" is not.
			* "is equal to" ([[equality (mathematics)\|equality]])
			* "is [[comparability\|comparable]] to" for a [[partial order]]
			* "... is odd and ... is odd too":

			::::::[[Image:Bothodd.png]]

			==See also==
			* [[Symmetry in mathematics]]
			* [[Asymmetric relation]]
			* [[Antisymmetric relation]]

			[[Category:Mathematical relations]]
			[[Category:Symmetry]]

en>Chris the speller: /* Angle of elevation */typos, replaced: non trivial → nontrivial using AWB (8277)

2012-08-21T20:39:47Z

Angle of elevation: typos, replaced: non trivial → nontrivial using AWB (8277)

New page

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