Hartogs' extension theorem - Revision history

en>Trappist the monk: /* References */Remove redundant |year= parameter from CS1 citations; using AWB

2014-12-23T01:37:23Z

References: Remove redundant |year= parameter from CS1 citations; using AWB

← Older revision		Revision as of 03:37, 23 December 2014
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Kelp and other seaweeds are high~~ on ~~trace mineral Iodine~~, ~~every single one of~~ the ~~trace minerals~~ and ~~B Vitamin Complex~~ in ~~moderateness~~. ~~They boost~~ your ~~metabolism~~ and ~~their use will greatly enhance weight~~-~~loss programs and Diet Plan~~. ~~Don't eat a lot~~ of ~~seaweed unless~~ the ~~fiber may be removed through processing. 1 cap~~ of ~~Seaweed Complex has 297mcg of natural Iodine. 1-3 caps/day~~.<br><br>~~They rely upon Transdermal scientific knowledge. Once you apply~~ the ~~patch regarding your skin~~, ~~elements are absorbed straight into your bloodstream. They don't have~~ to ~~follow through~~ the ~~stomach~~ to ~~reach the body~~. ~~This ensures that almost 95% within~~ the ~~ingredients remain intact~~. ~~As a result a little dose can produce a lot better effects~~.<br><br>~~There are extensive blends in~~ the ~~market geared~~ to ~~promote weight~~ the ~~loss~~. ~~Some ingredients added to these teas are Asia Berry~~, ~~chromium polynicotinate, and also Garcinia [http://cambogiaxts~~.~~com/ Cambogia XT Reviews]~~. ~~These blends help~~ in ~~maintaining your overall wellness because substantial full~~ of [~~http~~://~~cambogiaxts~~.com/ ~~Cambogia XT~~] ~~antioxidants~~. ~~Other uses~~ is ~~going~~ to be the ~~protection against diseases such as certain cancers of the prostate, skin, lung, and breast~~.~~<br><br>Patches are highly easy the following and produce faster penalties~~. ~~This is because they deliver components directly into the bloodstream~~. ~~Almost 95% in the ingredients remain intact~~. ~~This provides a patch an edge over pills since a lot of the ingredients in case of is wasted in stomach because of the neutralization by various fluids and chemicals~~.<br><br>~~People globe want~~ to ~~get stubborn belly fat, but few individuals know ways to do the game~~. ~~There are a range of options assure to shrink your belly, and many say that don't for~~ you to ~~do a thing~~ to ~~these work other than use children.<br><br>Biotin is really a part of B-complex and plays a huge role in metabolic process of amino-acids, sugars and fats. 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99.241.166.168: formatting improvements and plain html to {{math|...

2014-02-20T05:34:08Z

formatting improvements and plain html to {{math|...

← Older revision		Revision as of 07:34, 20 February 2014
Line 1:		Line 1:
	~~In the theory of~~ [~~[partially ordered set]]s, a '''pseudoideal''' is a subset characterized by a bounding operator LU~~.		JavaFit has three levels you can join possibly at. At some point in time in which get maximin compensation [http://cambogiaxts.com/ Cambogia XT Reviews] learn how to upgrade towards the Exective Set. With all these packages you get plenty of coffee and marketing subject matter. You will have plenty to on-line business installed and operating.<br><br>Such an area can easily help you lose almost 6 pounds within full week. There are many people who've been able to obtain rid of up to twenty pounds inside of 30 days with such patches.<br><br>Iodine - Kelp and all seaweeds Should be from an incredibly pure reservoir. The label should say that this is tested for cleanliness. Kelp and other seaweeds are high on trace mineral Iodine, every single one of the trace minerals and B Vitamin Complex in moderateness. They boost your metabolism and their use will greatly enhance weight-loss programs and Diet Plan. Don't eat a lot of seaweed unless the fiber may be removed through processing. 1 cap of Seaweed Complex has 297mcg of natural Iodine. 1-3 caps/day.<br><br>They rely upon Transdermal scientific knowledge. Once you apply the patch regarding your skin, elements are absorbed straight into your bloodstream. They don't have to follow through the stomach to reach the body. This ensures that almost 95% within the ingredients remain intact. As a result a little dose can produce a lot better effects.<br><br>There are extensive blends in the market geared to promote weight the loss. Some ingredients added to these teas are Asia Berry, chromium polynicotinate, and also Garcinia [http://cambogiaxts.com/ Cambogia XT Reviews]. These blends help in maintaining your overall wellness because substantial full of [http://cambogiaxts.com/ Cambogia XT] antioxidants. Other uses is going to be the protection against diseases such as certain cancers of the prostate, skin, lung, and breast.<br><br>Patches are highly easy the following and produce faster penalties. This is because they deliver components directly into the bloodstream. Almost 95% in the ingredients remain intact. This provides a patch an edge over pills since a lot of the ingredients in case of is wasted in stomach because of the neutralization by various fluids and chemicals.<br><br>People globe want to get stubborn belly fat, but few individuals know ways to do the game. There are a range of options assure to shrink your belly, and many say that don't for you to do a thing to these work other than use children.<br><br>Biotin is really a part of B-complex and plays a huge role in metabolic process of amino-acids, sugars and fats. It to build blood sugar efficiently, as the fuel completely not stored as system fat. Take 250 mcg daily.
	~~== Basic definitions ==~~
	~~LU(''A'') is the set of all [[lower bound~~]~~]s of~~ the ~~set of~~ all ~~[[upper bound]]s~~ of ~~the subset ''A'' of a [[partially ordered set]]~~.

	~~A subset ''I'' of a partially ordered set (''P'',≤) is a '''Doyle pseudoideal''', if the following condition holds:~~

	~~For every finite subset ''S'' of ''P'' which has a [[supremum]] in ''P'', ''S''~~<~~math~~>~~\subseteq~~<~~/math~~> '~~'I'' implies that LU(''S'')~~ <~~math~~>~~\subseteq~~<~~/math~~> ~~''I''~~.

	~~A subset ''I''~~ of ~~a partially ordered set (~~'~~'P'',≤) is~~ a ~~'''pseudoideal''', if~~ the ~~following condition holds:~~

	~~For every subset ''S''~~ of ~~''P'' having at most two elements which~~ has ~~a [[supremum]] in ''P'', ''S''~~<~~math~~>~~\subseteq~~<~~/math~~> '~~'I'' implies~~ that ~~LU(''S'')~~ <~~math~~>~~\subseteq~~<~~/math~~> ~~''I''~~.

	~~== Remarks==~~
	~~#Every~~ [~~[Frink ideal~~]~~] ''I'' is a Doyle pseudoideal~~.
	~~#A subset ''I''~~ of ~~a lattice (''P'',≤) is a~~ ~~Doyle pseudoideal~~ [~~[if and only if~~]~~] it~~ is ~~a lower set that is closed under finite joins ([[suprema]]).~~

	~~==Related notions==~~
	*[[Frink ideal]]

	~~==References==~~
	*Abian, A., ~~Amin~~, W. A. ~~(1990) "Existence~~ of ~~prime ideals~~ and ~~ultrafilters in partially ordered sets", Czechoslovak Math. J~~., ~~40: 159–163~~.
	*Doyle, W.~~(1950) "An arithmetical theorem for partially ordered sets", [[Bulletin~~ of ~~the American Mathematical Society]]~~, ~~56: 366~~.
	*Niederle, J. ~~(2006) "Ideals in ordered sets", [[Rendiconti del Circolo Matematico di Palermo]] 55: 287–295~~.

	~~[[Category:Order theory]]~~

en>TakuyaMurata: /* Historical note */ Ehrenpreis' fundamental principle

2013-07-17T16:05:01Z

Historical note: Ehrenpreis' fundamental principle

← Older revision		Revision as of 18:05, 17 July 2013
Line 1:		Line 1:
	~~So when you still have few days to go before you hit~~ the ~~beach why don’t you buy the perfect swimwear. The CSNY style parody~~ '~~Mission Statement~~' is ~~so jam packed with corporate buzz words that it might induce panic attacks in many~~ a ~~cubicle dweller~~. ~~However, no one makes a big fuss as Austin isn~~'~~t big on going goo-goo over their famous residents. Some~~ of the ~~games played after~~ the ~~marriage ceremony, when the bride comes to her in- laws house, with her husband are:. This might seem too simple and almost childish to you and you would be partly right but that~~'~~s not~~ a ~~bad thing.~~ [~~http://100.dressesgalore.pw summer fun activities for teenagers~~] ~~Also a day in the sun at the garden can really be a whole lot of fun~~. ~~You are sure to spark much conversation and become the centre~~ of ~~attention. <br><br>Decorating is simply not going to be any more fun than it~~ is ~~with~~ a ~~life raft that can be painted with family names or any other memorable name or beach location. What is it made of, was this material commonly used at the time~~, ~~and~~ if so, for what purposes. Some villa rentals also guide people to different tourist destinations. Offer to attend as an escort while your ex goes to some event that they love. Thimbles have been made of many different types of materials through the ~~centuries, including gold, silver, bone, mother~~ of ~~pearl~~, ivory and brass. Being able to get every just about every pro sports team and college team printed on their shirt will give them the opportunity to show off just what team they love the most. Pros of the Pure Fun 12-Foot Trampoline and Enclosure. <br><br>~~You can pick up a package~~ of ~~water balloons and have~~ a ~~water balloon catch~~, ~~egg toss or even play Blind Man. So it~~ is ~~important that you select the correct size. And if you were~~ a ~~real die hard~~, ~~invariably you could make your candles by dipping~~ the ~~wick over and over, so to speak. A paper bag is great fun for your Guinea Pig to have some fun with too. Dora is respectful and independent, and treats others with kindness~~ at ~~all time. Make sure you prepare all these stuff ahead of time. Most of the state is flat land so Mount Bonnell is~~ a ~~diamond~~ in ~~the rough.~~ <br><br>~~Fares begin on this beautiful ship at just $449, which~~ is ~~per person, based on double occupancy. In art class, students should use their now dried and finished dyed cloths in order to design and create~~ a ~~class quilt~~. ~~In the meantime, practice the four suggestions above and see if you don~~'~~t see an improvement in your attitude and in your business. Think about the age~~ of ~~the children you are teaching and plan activities that are appropriate for that age group. The easiness, with which they open the knots~~, ~~corresponds to the lifestyle and the smoothness they will have in their lives. 1~~) ~~Make time for each other and for having quality time together. Using this mobile spyware app for i - Phone allows you to discreetly take a video while making it appear that you are browsing~~ a ~~website once you activate its spy mode feature.~~ ~~<br><br>With the number of us with small pets growing steadily, the pet product companies have answered by making these dog carrier bags. *Cross-That-Fish: This game takes the Tic-Tac-Toe concept~~ and ~~applies~~ it ~~to VBS studies. This city~~ is ~~known as the live music capital of the world. Remember to give the silent auction you are organizing~~ a ~~fun and creative touch so~~ that ~~kids can have a great time~~. ~~The money will arrive once you have made a decision and you are committed to Being~~, ~~Doing and Having what you desire~~. ~~If you are creating these sketches~~, ~~you have to remember that you are not going to get everything right the first time~~. ~~, decide on the theme, the written content, design on the outside and a design on the inside and ask each person to be [http://Photo~~.~~net/gallery/tag-search/search?query_string=responsible responsible] for one aspect~~ of ~~the card)~~. ~~<br><br>There is almost nothing that says how much a person loves their home than their d~~. ~~The possibility for injury does exist~~, ~~though~~, ~~so very young children should be watched closely if they are playing the game or playing nearby~~. ~~accessories~~, ~~and the rest~~ of the ~~amenities of camping gear. If you have a flowery theme~~, ~~choosing yellow napkins is a great idea~~. ~~But since you are going to the beach it is better to wear bright colors for a fun filled day out in the beach. Honeydew is a variety of muskmelon~~, ~~considered the sweetest of all melons~~. ~~However~~ in ~~todayâ€™s world~~, ~~the bb guns on offer provide exhilarating, intense fun for adults looking for a great way to experience combat whilst remaining safe~~.		In the theory of [[partially ordered set]]s, a '''pseudoideal''' is a subset characterized by a bounding operator LU.
			== Basic definitions ==
			LU(''A'') is the set of all [[lower bound]]s of the set of all [[upper bound]]s of the subset ''A'' of a [[partially ordered set]].

			A subset ''I'' of a partially ordered set (''P'',≤) is a '''Doyle pseudoideal''', if the following condition holds:

			For every finite subset ''S'' of ''P'' which has a [[supremum]] in ''P'', ''S''<math>\subseteq</math> ''I'' implies that LU(''S'') <math>\subseteq</math> ''I''.

			A subset ''I'' of a partially ordered set (''P'',≤) is a '''pseudoideal''', if the following condition holds:

			For every subset ''S'' of ''P'' having at most two elements which has a [[supremum]] in ''P'', ''S''<math>\subseteq</math> ''I'' implies that LU(''S'') <math>\subseteq</math> ''I''.

			== Remarks==
			#Every [[Frink ideal]] ''I'' is a Doyle pseudoideal.
			#A subset ''I'' of a lattice (''P'',≤) is a Doyle pseudoideal [[if and only if]] it is a lower set that is closed under finite joins ([[suprema]]).

			==Related notions==
			*[[Frink ideal]]

			==References==
			*Abian, A., Amin, W. A. (1990) "Existence of prime ideals and ultrafilters in partially ordered sets", Czechoslovak Math. J., 40: 159–163.
			*Doyle, W.(1950) "An arithmetical theorem for partially ordered sets", [[Bulletin of the American Mathematical Society]], 56: 366.
			*Niederle, J. (2006) "Ideals in ordered sets", [[Rendiconti del Circolo Matematico di Palermo]] 55: 287–295.

			[[Category:Order theory]]

en>Daniele.tampieri: Minor lexical improvement

2012-06-18T08:01:34Z

Minor lexical improvement

New page

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