Gaussian integral - Revision history

87.115.115.203: mismatch between definite and indefinite integrals

2015-01-11T14:39:43Z

mismatch between definite and indefinite integrals

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97.123.203.186: /* Integrals of similar form */

2014-02-13T01:54:41Z

Integrals of similar form

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en>FerrousTigrus: Re-introduced the Gaussian graph SVG.
2014-01-30T11:57:36Z

Re-introduced the Gaussian graph SVG. <Investigation: Oct 2012: Anonymous user changed the code making it unusable; Following Edit: A user deletes the code entirely.

← Older revision Revision as of 13:57, 30 January 2014
Line 1: Line 1:

Asian women have been massaging their breasts for centuries now, and be acquainted with the compensation of such a course over the artificial methods and surgeries being used today. The widely used and trusted herbal breast enlargement products are Big B-36 pills and oil. The wide number of hospitals and the doctors providing these services has made it possible for almost everybody to make use of the service. Capsular contracture, which is the formation of firm scar tissue around the implant. Today’s silicone implants are resistant to folding and wrinkling, and many surgeons believe that they provide the most natural looking and feeling results. They also avoid activities like swimming or any physical activities that will require them to expose their bare chest in public. might find that there are clinics offering a package deal, so you can. If a saline implant bursts or leaks, the salt water will be absorbed into the body without great harm. For the best part, Americans continue to be guessing and hoping that more than SOME partial benefit can come from herbal breast supplementation or utilization. There are two reasons why women would want to undergo this procedure. The major side effect is defuse the variety of breast enlargement without surgery through any types of surgery technique so that the rounding the implant. For those women lucky enough to try the pills, they were so grateful with the results because not only are they inexpensive but the pill's method of enhancing their breast goes in synch with their body's natural ways. After undergoing a surgery, obviously, you need to stop the factors that caused you to have enlarged breast in the first place, if possible. Kristi, a staff member of a local female plastic surgeon reports that, "she had a couple of friends that had fat grafting instead of silicone or saline implants and the girl has less now than she had before. After 48 hrs of cold compresses, alleviate the swelling and discoloration of your breasts by using warm compresses. Feel free to use this article on your website or ezine as long as the following information about author is included. Here are some of the popular breast enlargement herbs:. If you live in the Dallas, Texas area and would like to learn more about breast augmentation, please visit the website of cosmetic surgeon, Dr. • Likely outcomes of the procedure and any risks or potential complications. Surgery of the breast consists of insertion of a silicone bag under the breast or under the breast and chest muscle and then inserting the bag with saline. However, with exercising, you can get a firmer and a more prominent line that makes your bust appear larger. It is also an excellent way to keep your breast healthy by creating awareness of any fibrous areas of possible indications of breast cancer. necessary arrangements for you, taking a large part of the worry. There are also herbs that you can eat to increase breast size. With regards to breast enhancement recovery, you have to know that cold and hot compresses are applied within the first couple of days of recovery, drainage may be required to remove fluid, and massage therapy can help you achieve natural-looking breasts. Fenugreek and soya are easily available edible items that help in breast enlargement. The clear advantage to this method is that you can show the surgeon what you want in three-dimensions and on your own body. bra while exercising will also provide support to the breasts and one can achieve breast enlargement in a natural way. As mentioned earlier Triactol is made from 100% safe natural ingredients with no harmful chemicals. Of course, a much better method would be to visit an FDA approved cohesive gel surgeon and ask to see and feel one of the new cohesive gel implants. If you cherished this article and you would like to receive more info about pills to make your boobs bigger ([http://www.lucky-house.info/sitemap/ lucky-house.info]) please visit our webpage.
{{Unreferenced|date=January 2011}}

In [[mathematics]], a '''solution set''' is the [[set (mathematics)|set]] of values that satisfy a given set of equations or inequalities.

For example, for a set <math>\{f_i\}</math> of [[polynomial]]s over a [[Ring (mathematics)|ring]] <math>R</math>,

the solution set is the subset of <math>R</math> on which the polynomials all vanish (evaluate to 0), formally

:<math>\{x\in R:\forall i\in I, f_i(x)=0\}.\ </math>

== Examples ==

1. The solution set of the single equation <math>f(x)=x</math> is the set  {0}.

2. For any non-zero polynomial <math>f</math> over the [[complex numbers]] in one variable, the solution set is made up of finitely many points.

3. However, for a complex polynomial in more than one variable the solution set has no isolated points.

== Remarks ==

In [[algebraic geometry]], solution sets are used to define the [[Zariski topology]]. See [[affine varieties]].

== Other meanings ==

More generally, the '''solution set''' to an arbitrary collection ''E'' of [[relation (mathematics)|relation]]s (''Ei'') (''i'' varying in some index set ''I'') for a collection of unknowns <math>{(x_j)}_{j\in J}</math>, supposed to take values in respective spaces <math>{(X_j)}_{j\in J}</math>, is the set ''S'' of all solutions to the relations ''E'', where a solution <math>x^{(k)}</math> is a family of values <math>{(x^{(k)}_j)}_{j\in J}\in \prod_{j\in J} X_j</math> such that substituting <math>{(x_j)}_{j\in J}</math> by <math>x^{(k)}</math> in the collection ''E'' makes all relations "true".

(Instead of relations depending on unknowns, one should speak more correctly of [[Predicate (mathematics)|predicate]]s, the collection ''E'' is their [[logical conjunction]], and the solution set is the [[inverse image]] of the boolean value ''true'' by the associated [[boolean-valued function]].)

The above meaning is a special case of this one, if the set of polynomials ''fi'' if interpreted as the set of equations ''fi(x)=0''.

===Examples===

* The solution set for '' E = { x+y = 0 } '' w.r.t. <math>(x,y)\in\mathbb R^2</math> is '' S = { (a,-a) ; a ∈ '''R''' } ''.

* The solution set for '' E = { x+y = 0 } '' w.r.t. <math>x\in\mathbb R</math> is '' S = { -y } ''. (Here, ''y'' is not "declared" as an unknown, and thus to be seen as a [[parameter]] on which the equation, and therefore the solution set, depends.)

* The solution set for <math> E = \{ \sqrt x \le 4 \} </math> w.r.t. <math>x\in\mathbb R</math> is the interval '' S = [0,2] '' (since <math>\sqrt x</math> is undefined for negative values of ''x'').

* The solution set for <math> E = \{ \exp(i x) = 1 \} </math> w.r.t. <math>x\in\mathbb C</math> is '' S'' = 2 π '''Z''' (see [[Euler's identity]]).

==See also==

* [[equation solving]]

{{DEFAULTSORT:Solution Set}}

[[Category:Equations]]

en>Jason Quinn: MOS:APPENDIX fix

2012-07-16T12:30:59Z

MOS:APPENDIX fix

New page

Asian women have been massaging their breasts for centuries now, and be acquainted with the compensation of such a course over the artificial methods and surgeries being used today. The widely used and trusted herbal breast enlargement products are Big B-36 pills and oil. The wide number of hospitals and the doctors providing these services has made it possible for almost everybody to make use of the service. Capsular contracture, which is the formation of firm scar tissue around the implant. Today’s silicone implants are resistant to folding and wrinkling, and many surgeons believe that they provide the most natural looking and feeling results. They also avoid activities like swimming or any physical activities that will require them to expose their bare chest in public. might find that there are clinics offering a package deal, so you can. If a saline implant bursts or leaks, the salt water will be absorbed into the body without great harm. For the best part, Americans continue to be guessing and hoping that more than SOME partial benefit can come from herbal breast supplementation or utilization. There are two reasons why women would want to undergo this procedure. The major side effect is defuse the variety of breast enlargement without surgery through any types of surgery technique so that the rounding the implant. For those women lucky enough to try the pills, they were so grateful with the results because not only are they inexpensive but the pill's method of enhancing their breast goes in synch with their body's natural ways. After undergoing a surgery, obviously, you need to stop the factors that caused you to have enlarged breast in the first place, if possible. Kristi, a staff member of a local female plastic surgeon reports that, "she had a couple of friends that had fat grafting instead of silicone or saline implants and the girl has less now than she had before. After 48 hrs of cold compresses, alleviate the swelling and discoloration of your breasts by using warm compresses. Feel free to use this article on your website or ezine as long as the following information about author is included. Here are some of the popular breast enlargement herbs:. If you live in the Dallas, Texas area and would like to learn more about breast augmentation, please visit the website of cosmetic surgeon, Dr. • Likely outcomes of the procedure and any risks or potential complications. Surgery of the breast consists of insertion of a silicone bag under the breast or under the breast and chest muscle and then inserting the bag with saline. However, with exercising, you can get a firmer and a more prominent line that makes your bust appear larger. It is also an excellent way to keep your breast healthy by creating awareness of any fibrous areas of possible indications of breast cancer. necessary arrangements for you, taking a large part of the worry. There are also herbs that you can eat to increase breast size. With regards to breast enhancement recovery, you have to know that cold and hot compresses are applied within the first couple of days of recovery, drainage may be required to remove fluid, and massage therapy can help you achieve natural-looking breasts. Fenugreek and soya are easily available edible items that help in breast enlargement. The clear advantage to this method is that you can show the surgeon what you want in three-dimensions and on your own body. bra while exercising will also provide support to the breasts and one can achieve breast enlargement in a natural way. As mentioned earlier Triactol is made from 100% safe natural ingredients with no harmful chemicals. Of course, a much better method would be to visit an FDA approved cohesive gel surgeon and ask to see and feel one of the new cohesive gel implants. If you cherished this article and you would like to receive more info about pills to make your boobs bigger ([http://www.lucky-house.info/sitemap/ lucky-house.info]) please visit our webpage.

← Older revision		Revision as of 13:57, 30 January 2014
Line 1:		Line 1:
	~~Asian women have been massaging their breasts for centuries now~~, ~~and be acquainted with~~ the ~~compensation~~ of ~~such~~ a ~~course over the artificial methods and surgeries being used today~~. ~~The widely used and trusted herbal breast enlargement products are Big B-36 pills and oil. The wide number of hospitals and the doctors providing these services has made it possible~~ for ~~almost everybody to make use~~ of the ~~service. Capsular contracture, which~~ is the ~~formation~~ of ~~firm scar tissue around~~ the ~~implant. Today’s silicone implants are resistant~~ to ~~folding and wrinkling~~, ~~and many surgeons believe that they provide the most natural looking and feeling results.~~ <br><br>~~They also avoid activities like swimming or any physical activities that will require them to expose their bare chest in public~~. ~~might find that there are clinics offering a package deal, so you can. If a saline implant bursts or leaks,~~ the ~~salt water will be absorbed into~~ the ~~body without great harm~~. For the best part, Americans continue to be guessing and hoping that more than SOME partial benefit can come from herbal breast supplementation or utilization. There are two reasons why women would want to undergo this procedure. <br><br>~~The major side effect~~ is ~~defuse the variety~~ of ~~breast enlargement without surgery through any types of surgery technique so that~~ the ~~rounding the implant~~. ~~For those women lucky enough~~ to ~~try~~ the ~~pills~~, ~~they were so grateful with~~ the ~~results because not only are they inexpensive but the pill~~'s ~~method of enhancing their breast goes~~ in ~~synch with their body~~'~~s natural ways. After undergoing~~ a ~~surgery~~, ~~obviously~~, ~~you need to stop~~ the ~~factors that caused you~~ to ~~have enlarged breast in~~ the ~~first place, if possible. Kristi~~, a ~~staff member of a local female plastic surgeon reports that, "she had~~ a ~~couple~~ of ~~friends~~ that ~~had fat grafting instead of silicone or saline implants and the girl has less now than she had before. After 48 hrs of cold compresses, alleviate the swelling and discoloration of your breasts~~ by ~~using warm compresses.~~ <br><br>~~Feel free to use this article on your website or ezine as long as~~ the ~~following information about author is included~~. ~~Here are some~~ of ~~the popular breast enlargement herbs:. If you live in the Dallas~~, ~~Texas area and would like to learn~~ more ~~about breast augmentation~~, ~~please visit~~ the ~~website of cosmetic surgeon~~, ~~Dr. • Likely outcomes~~ of the ~~procedure and any risks or potential complications~~. ~~Surgery~~ of the ~~breast consists~~ of ~~insertion~~ of ~~a silicone bag under the breast or under the breast and chest muscle and then inserting the bag with saline~~. <br><br>~~However~~, ~~with exercising, you can get~~ a ~~firmer and~~ a ~~more prominent line that makes your bust appear larger~~. It is ~~also~~ an ~~excellent way~~ to ~~keep your breast healthy by creating awareness of any fibrous areas of possible indications of breast cancer. necessary arrangements for you, taking~~ a ~~large part of~~ the ~~worry. There are also herbs that you can eat to increase breast size. With regards to breast enhancement recovery~~, ~~you have to know that cold~~ and ~~hot compresses are applied within~~ the ~~first couple of days of recovery, drainage may be required to remove fluid~~, ~~and massage therapy can help you achieve natural-looking breasts~~. <br><br>~~Fenugreek and soya are easily available edible items that help in breast enlargement~~. ~~The clear advantage to this method is that you can show the surgeon what you want in three-dimensions and on your own body~~. ~~bra while exercising will also provide support to the breasts and one can achieve breast enlargement~~ in ~~a natural way. As mentioned earlier Triactol~~ is ~~made from 100% safe natural ingredients with no harmful chemicals. Of course~~, ~~a much better method would be to visit an FDA approved cohesive gel surgeon and ask to see and feel one~~ of ~~the new cohesive gel implants~~.<br><br>~~If you cherished this article and you would like to receive more info about pills to make your boobs bigger ([http://www~~.~~lucky-house~~.~~info~~/~~sitemap/ lucky-house.info~~]) ~~please visit our webpage~~.		{{Unreferenced\|date=January 2011}}

			In [[mathematics]], a '''solution set''' is the [[set (mathematics)\|set]] of values that satisfy a given set of equations or inequalities.

			For example, for a set <math>\{f_i\}</math> of [[polynomial]]s over a [[Ring (mathematics)\|ring]] <math>R</math>,
			the solution set is the subset of <math>R</math> on which the polynomials all vanish (evaluate to 0), formally
			:<math>\{x\in R:\forall i\in I, f_i(x)=0\}.\ </math>

			== Examples ==
			1. The solution set of the single equation <math>f(x)=x</math> is the set  {0}.

			2. For any non-zero polynomial <math>f</math> over the [[complex numbers]] in one variable, the solution set is made up of finitely many points.

			3. However, for a complex polynomial in more than one variable the solution set has no isolated points.

			== Remarks ==
			In [[algebraic geometry]], solution sets are used to define the [[Zariski topology]]. See [[affine varieties]].

			== Other meanings ==
			More generally, the '''solution set''' to an arbitrary collection ''E'' of [[relation (mathematics)\|relation]]s (''E<sub>i</sub>'') (''i'' varying in some index set ''I'') for a collection of unknowns <math>{(x_j)}_{j\in J}</math>, supposed to take values in respective spaces <math>{(X_j)}_{j\in J}</math>, is the set ''S'' of all solutions to the relations ''E'', where a solution <math>x^{(k)}</math> is a family of values <math>{(x^{(k)}_j)}_{j\in J}\in \prod_{j\in J} X_j</math> such that substituting <math>{(x_j)}_{j\in J}</math> by <math>x^{(k)}</math> in the collection ''E'' makes all relations "true".

			(Instead of relations depending on unknowns, one should speak more correctly of [[Predicate (mathematics)\|predicate]]s, the collection ''E'' is their [[logical conjunction]], and the solution set is the [[inverse image]] of the boolean value ''true'' by the associated [[boolean-valued function]].)

			The above meaning is a special case of this one, if the set of polynomials ''f<sub>i</sub>'' if interpreted as the set of equations ''f<sub>i</sub>(x)=0''.

			===Examples===

			* The solution set for '' E = { x+y = 0 } '' w.r.t. <math>(x,y)\in\mathbb R^2</math> is '' S = { (a,-a) ; a ∈ '''R''' } ''.
			* The solution set for '' E = { x+y = 0 } '' w.r.t. <math>x\in\mathbb R</math> is '' S = { -y } ''. (Here, ''y'' is not "declared" as an unknown, and thus to be seen as a [[parameter]] on which the equation, and therefore the solution set, depends.)
			* The solution set for <math> E = \{ \sqrt x \le 4 \} </math> w.r.t. <math>x\in\mathbb R</math> is the interval '' S = [0,2] '' (since <math>\sqrt x</math> is undefined for negative values of ''x'').
			* The solution set for <math> E = \{ \exp(i x) = 1 \} </math> w.r.t. <math>x\in\mathbb C</math> is '' S'' = 2 π '''Z''' (see [[Euler's identity]]).

			==See also==
			* [[equation solving]]

			{{DEFAULTSORT:Solution Set}}
			[[Category:Equations]]