Semiprime: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit
en>Enric Naval
m Reverted edits by 103.246.106.10 (talk) to last version by PrimeHunter
en>Donner60
Reverted good faith edits by 92.44.190.135 (talk): Unnecessary addition. (TW)
 
Line 1: Line 1:
In [[mathematics]], '''pointwise convergence''' is one of various senses in which a [[sequence]] of functions can [[Limit (mathematics)|converge]] to a particular function.<ref>{{cite book | last=Rudin | first=Walter | authorlink = Walter Rudin | title=Principles of Mathematical Analysis | publisher=[[McGraw-Hill]] | year=1976 | isbn=0-07-054235-X}}</ref><ref>{{cite book | last=Munkres | first=James R. | authorlink=James Munkres | title=Topology | edition=2nd | publisher=[[Prentice Hall]] | year=2000 | isbn=0-13-181629-2}}</ref>
== 殺意があります ==


==Definition==
殺意があります！アメージング人！ [http://www.aseanacity.com/webalizer/prada-bags-25.html プラダ人気財布] 「この時点で、「ヤンは「最も深刻な警告が来た<br>3影が、空には雲が低温側で見ているようだ、すべての殺人が濃縮されている [http://www.aseanacity.com/webalizer/prada-bags-23.html prada 財布 通販]。最も凶暴な打撃を醸造で釘付けに肉食獣のように [http://www.aseanacity.com/webalizer/prada-bags-35.html プラダ 財布 新作]。<br>第二百十章とげの月、星を破壊し、朱西安 私を殺すために起こっているhuan​​hangrn「私は大草原を選んだが、私は夜の血を持っていて、身体の王である、それは、私はスクリーンセーバーをマスターすることはできませんが残念ですが、ありません準備せずに、私をスパイするために誰か、ヤンあなたは私のために解くさて！私はわずかなマナに近すぎる、最も重要な瞬間に智リアン超自然的な力を、指し、また瞬間があった、また瞬間があった、私は2番目の頭を開くことができました！ [http://www.aseanacity.com/webalizer/prada-bags-33.html 財布 プラダ レディース] '<br>側冷たい心と魂スターパワーでの護衛の、及び集積闘志遺物、第二の心を開くには、彼の心に渡されたわずかな気晴らしが、ヤンのアイデアを持つことができない、彼はまた感じたが、彼ハート
Suppose { ''f''<sub>''n''</sub> } is a sequence of [[function (mathematics)|functions]] sharing the same domain and [[codomain]] (for the moment, we defer specifying the nature of the values of these functions, but the reader may take them to be [[real number]]s).  The sequence { ''f''<sub>''n''</sub> } '''converges pointwise''' to ''f'', often written as
相关的主题文章：
<ul>
 
  <li>[http://minecraftforum.co.uk/showthread.php?tid=479966 http://minecraftforum.co.uk/showthread.php?tid=479966]</li>
 
  <li>[http://www.plick.co.jp/bbs/aska.cgi http://www.plick.co.jp/bbs/aska.cgi]</li>
 
  <li>[http://www.7d100.com/home.php?mod=space&uid=5329 http://www.7d100.com/home.php?mod=space&uid=5329]</li>
 
</ul>


:<math>\lim_{n\rightarrow\infty}f_n=f\  \mbox{pointwise},</math>
== ' この名前、心あなたが怖がって聞いたが、 ==


if and only if
散乱始めているGangqi。<br>「よく、彼は最高のMogong木綿で大切除！、大削り取る手術クラス超自然をキャストしたい！カットするようにしてください、そうでないと思ったが、永遠の破壊をカットする必要があります！ [http://www.aseanacity.com/webalizer/prada-bags-30.html プラダ 財布] '<br>ヤン区日数黒ギザギザ段ボール道路から出てくる水を見悪魔、助けることが驚きませんでした [http://www.aseanacity.com/webalizer/prada-bags-33.html プラダ メンズ ベルト]。<br>'大きな切除 [http://www.aseanacity.com/webalizer/prada-bags-27.html プラダ 財布 値段]！' この名前、心あなたが怖がって聞いたが、<br>サイド寒さが、残余の魂をクリーンアップする悪魔未満のマスター木綿セーバーエクセルので、それは本当に垂直方向と水平方向の世界であることができ、薄い死んだラクダ馬よりも大きいとは思いませんでした。<br>「Tiens布ギャング！ [http://www.aseanacity.com/webalizer/prada-bags-33.html 財布 プラダ レディース] '<br>ためらい、正方形の冷たい心の動きは、数フィートの厚Gangqi壁への前日の突然3獅子は自分の目の前に抵抗する。<br>'カット [http://www.aseanacity.com/webalizer/prada-bags-25.html prada トートバッグ]！' 牙漢江におけるhuan​​hangrnはちょうどこのアクションを完了し、水の狂気の悪魔ビッグカット
相关的主题文章：
<ul>
 
  <li>[http://www.qsbbs.cc/home.php?mod=space&uid=1120090 http://www.qsbbs.cc/home.php?mod=space&uid=1120090]</li>
 
  <li>[http://0668dd.com/plus/view.php?aid=336183 http://0668dd.com/plus/view.php?aid=336183]</li>
 
  <li>[http://www.love999.cc/bbs/home.php?mod=space&uid=16658 http://www.love999.cc/bbs/home.php?mod=space&uid=16658]</li>
 
</ul>


:<math>\lim_{n\rightarrow\infty}f_n(x)=f(x).</math>
== to escape out ==


for every ''x'' in the domain.
Energy shot for me, but I do not care, I'll let you [http://www.aseanacity.com/webalizer/prada-bags-34.html prada] see that I am [http://www.aseanacity.com/webalizer/prada-bags-27.html プラダ 財布 スタッズ] more powerful than the strength of the wind edge, so you know do not disgrace my servant but a glory. '<br>heart Huang Son look at all this is very [http://www.aseanacity.com/webalizer/prada-bags-25.html プラダ人気財布] accurate, dòng police people.<br>'Then you try.' bare Senior Gu Changfeng not able to tolerate kneeling here, everything is not able to tolerate it, can not wait to be broken seal, to escape out, [http://www.aseanacity.com/webalizer/prada-bags-22.html プラダ 財布 定価] crazy vent, then penance supernatural [http://www.aseanacity.com/webalizer/prada-bags-34.html prada] powers, looking for party cold revenge.<br>'Well!'<br>heart Wong Son face sè look turned serious: 'You ready for my magic will directly damage the seal, if you could not stand, it will blown powder.' between<br>speak, one of his big hands in the air immediately appeared many free runes, these runes formed a huge statue of the heart, like lotus tires in general, that huge heart center
相关的主题文章：
<ul>
 
  <li>[http://www.derel.cn/plus/feedback.php?aid=31 http://www.derel.cn/plus/feedback.php?aid=31]</li>
 
  <li>[http://www.xinzhinang.com.cn/plus/feedback.php?aid=174 http://www.xinzhinang.com.cn/plus/feedback.php?aid=174]</li>
 
  <li>[http://www.blasthaus.com/cgi-bin/dada/mail.cgi http://www.blasthaus.com/cgi-bin/dada/mail.cgi]</li>
 
</ul>


==Properties==
== Grip to the unseen world ==
This concept is often contrasted with [[uniform convergence]].  To say that


:<math>\lim_{n\rightarrow\infty}f_n=f\ \mbox{uniformly}</math>
Grip to the unseen world, Lent god statue body.<br>However, a huge fist, as if the dead among [http://www.aseanacity.com/webalizer/prada-bags-31.html プラダ 財布 中古] the powerful spirits Wang broke the eternal seal, shock out of direct bombardment to the cold side of the head! very<br>dangerous!<br>this look if the bombardment, the party cold I'm afraid to be beaten to pieces, being eternal repression!<br>In this critical moment, the cold side of life and death fight many times, have got experience of the reign of terror once again [http://www.aseanacity.com/webalizer/prada-bags-34.html prada] perfect show, do not know somewhere, where they come [http://www.aseanacity.com/webalizer/prada-bags-29.html prada 財布 スタッズ] from tyrannical body will mobilize all their strength, the strength of all [http://www.aseanacity.com/webalizer/prada-bags-24.html 長財布 prada] magic, all together, the moment between a full body close to the cold side of Chunyang Shizhao immortality is burned, not the cost of transporting many elixir out into the [http://www.aseanacity.com/webalizer/prada-bags-28.html prada 財布 2014] Coorong zhenjun other powerful masters of the body.<br>these experts are taking a 'risk-day battle elixir.' Mana condensed into one. Full body binding and square cold.
相关的主题文章：
<ul>
 
  <li>[http://www.cbdbay.net/home.php?mod=space&uid=15411 http://www.cbdbay.net/home.php?mod=space&uid=15411]</li>
 
  <li>[http://zgaxtgy.us19.veryadm.com/read.php?tid=1546072&ds=1 http://zgaxtgy.us19.veryadm.com/read.php?tid=1546072&ds=1]</li>
 
  <li>[http://www.shurey.com/cgi/fantasy/fantasy.cgi http://www.shurey.com/cgi/fantasy/fantasy.cgi]</li>
 
  </ul>


means that
== then there are countless lives Great concubine ==


:<math>\lim_{n\rightarrow\infty}\,\sup\{\,\left|f_n(x)-f(x)\right|: x\in\mbox{the domain}\,\}=0.</math>
Find square Kiyoshi senior sister apprentice, and she must sacrifice refining a baby, this baby Ji Lian Well, even if it is [http://www.aseanacity.com/webalizer/prada-bags-22.html prada トートバッグ] wishful son brought 'Wild ancient [http://www.aseanacity.com/webalizer/prada-bags-35.html プラダ スタッズ 財布] furnace' confrontation I have no use. '<br>side cold body flash, flew out from the 'eight Buddha' at home.<br>Jia blue gently sigh, [http://www.aseanacity.com/webalizer/prada-bags-33.html prada] sat down cross-legged and started running saver.<br>'That Jia Blue senior sister apprentice really interesting to me, but ...... ..........' After 方寒飞 out eight Buddha, secretly sighed.<br>'What are they afraid! eat her cold side you later do the magic figure of God, three thousand imperial concubines are too few, then there are countless lives Great concubine, [http://www.aseanacity.com/webalizer/prada-bags-22.html プラダ メンズ ベルト] and even countless confidante. Even Extreme wind feather palm to teach you , then when there are countless romantic bonds in the body. '<br>Yan growled figure in their lives.<br>'eternal giant marble so [http://www.aseanacity.com/webalizer/prada-bags-22.html pradaの財布] I say it, and now I'm going to party Kiyoshi, with her immortal power breaks, refining
 
相关的主题文章：
That is a stronger statement than the assertion of pointwise convergence: every uniformly convergent sequence is pointwise convergent, to the same limiting function, but some pointwise convergent sequences are not uniformly convergent. For example we have
<ul>
 
 
:<math>\lim_{n\rightarrow\infty} x^n=0\ \mbox{pointwise}\ \mbox{on}\ \mbox{the}\ \mbox{interval}\ [0,1),\ \mbox{but}\ \mbox{not}\ \mbox{uniformly}\ \mbox{on}\ \mbox{the}\ \mbox{interval}\ [0,1).</math><!-- don't change [0,1) to [0,1]. That is a mathematical error. This sequence does NOT converge to 0 when x = 1. -->
  <li>[http://www.recel.com.cn/plus/feedback.php?aid=70 http://www.recel.com.cn/plus/feedback.php?aid=70]</li>
 
 
The pointwise limit of a sequence of continuous functions may be a discontinuous function, but only if the convergence is not uniform. For example,
  <li>[http://www.ruthannesimmons.com/cgi-bin/guestbook/guestbook.cgi http://www.ruthannesimmons.com/cgi-bin/guestbook/guestbook.cgi]</li>
 
 
:<math>f(x)=\lim_{n\rightarrow\infty} \cos (\pi x)^{2n}</math>
  <li>[http://www.ecoolr.com/plus/feedback.php?aid=435 http://www.ecoolr.com/plus/feedback.php?aid=435]</li>
 
 
takes the value 1 when ''x'' is an integer and 0 when ''x'' is not an integer, and so is discontinuous at every integer.
</ul>
 
The values of the functions ''f''<sub>''n''</sub> need not be real numbers, but may be in any [[topological space]], in order that the concept of pointwise convergence make sense.  Uniform convergence, on the other hand, does not make sense for functions taking values in topological spaces generally, but makes sense for functions taking values in [[metric space]]s, and, more generally, in [[uniform space]]s.
 
==Topology==
Pointwise convergence is the same as convergence in the [[product topology]] on the space ''Y''<sup>''X''</sup>.  If ''Y'' is [[compact set|compact]], then, by [[Tychonoff's theorem]], the space ''Y''<sup>''X''</sup> is also compact.
 
==Almost everywhere convergence==
In [[measure theory]], one talks about ''almost everywhere convergence''  of a sequence of [[measurable function]]s defined on a [[measurable space]]. That means pointwise convergence [[almost everywhere]]. [[Egorov's theorem]] states that pointwise convergence almost everywhere on a set of finite measure implies uniform convergence on a slightly smaller set.
 
==See also==
*[[Modes of convergence (annotated index)]]
 
==References==
{{reflist}}
 
{{DEFAULTSORT:Pointwise Convergence}}
[[Category:Topology of function spaces]]
[[Category:Measure theory]]
[[Category:Convergence (mathematics)]]
[[Category:Topological spaces]]
 
[[hu:Függvénysorozatok konvergenciája#Pontonkénti konvergencia]]

Latest revision as of 06:57, 4 June 2014

殺意があります

殺意があります！アメージング人！ プラダ人気財布 「この時点で、「ヤンは「最も深刻な警告が来た
3影が、空には雲が低温側で見ているようだ、すべての殺人が濃縮されている prada 財布 通販。最も凶暴な打撃を醸造で釘付けに肉食獣のように プラダ 財布 新作。
第二百十章とげの月、星を破壊し、朱西安 私を殺すために起こっているhuan​​hangrn「私は大草原を選んだが、私は夜の血を持っていて、身体の王である、それは、私はスクリーンセーバーをマスターすることはできませんが残念ですが、ありません準備せずに、私をスパイするために誰か、ヤンあなたは私のために解くさて！私はわずかなマナに近すぎる、最も重要な瞬間に智リアン超自然的な力を、指し、また瞬間があった、また瞬間があった、私は2番目の頭を開くことができました！ 財布 プラダ レディース '
側冷たい心と魂スターパワーでの護衛の、及び集積闘志遺物、第二の心を開くには、彼の心に渡されたわずかな気晴らしが、ヤンのアイデアを持つことができない、彼はまた感じたが、彼ハート 相关的主题文章：

' この名前、心あなたが怖がって聞いたが、

散乱始めているGangqi。
「よく、彼は最高のMogong木綿で大切除！、大削り取る手術クラス超自然をキャストしたい！カットするようにしてください、そうでないと思ったが、永遠の破壊をカットする必要があります！ プラダ 財布 '
ヤン区日数黒ギザギザ段ボール道路から出てくる水を見悪魔、助けることが驚きませんでした プラダ メンズ ベルト。
'大きな切除 プラダ 財布 値段！' この名前、心あなたが怖がって聞いたが、
サイド寒さが、残余の魂をクリーンアップする悪魔未満のマスター木綿セーバーエクセルので、それは本当に垂直方向と水平方向の世界であることができ、薄い死んだラクダ馬よりも大きいとは思いませんでした。
「Tiens布ギャング！ 財布 プラダ レディース '
ためらい、正方形の冷たい心の動きは、数フィートの厚Gangqi壁への前日の突然3獅子は自分の目の前に抵抗する。
'カット prada トートバッグ！' 牙漢江におけるhuan​​hangrnはちょうどこのアクションを完了し、水の狂気の悪魔ビッグカット 相关的主题文章：

to escape out

Energy shot for me, but I do not care, I'll let you prada see that I am プラダ 財布 スタッズ more powerful than the strength of the wind edge, so you know do not disgrace my servant but a glory. '
heart Huang Son look at all this is very プラダ人気財布 accurate, dòng police people.
'Then you try.' bare Senior Gu Changfeng not able to tolerate kneeling here, everything is not able to tolerate it, can not wait to be broken seal, to escape out, プラダ 財布 定価 crazy vent, then penance supernatural prada powers, looking for party cold revenge.
'Well!'
heart Wong Son face sè look turned serious: 'You ready for my magic will directly damage the seal, if you could not stand, it will blown powder.' between
speak, one of his big hands in the air immediately appeared many free runes, these runes formed a huge statue of the heart, like lotus tires in general, that huge heart center 相关的主题文章：

Grip to the unseen world

Grip to the unseen world, Lent god statue body.
However, a huge fist, as if the dead among プラダ 財布 中古 the powerful spirits Wang broke the eternal seal, shock out of direct bombardment to the cold side of the head! very
dangerous!
this look if the bombardment, the party cold I'm afraid to be beaten to pieces, being eternal repression!
In this critical moment, the cold side of life and death fight many times, have got experience of the reign of terror once again prada perfect show, do not know somewhere, where they come prada 財布 スタッズ from tyrannical body will mobilize all their strength, the strength of all 長財布 prada magic, all together, the moment between a full body close to the cold side of Chunyang Shizhao immortality is burned, not the cost of transporting many elixir out into the prada 財布 2014 Coorong zhenjun other powerful masters of the body.
these experts are taking a 'risk-day battle elixir.' Mana condensed into one. Full body binding and square cold. 相关的主题文章：

then there are countless lives Great concubine

Find square Kiyoshi senior sister apprentice, and she must sacrifice refining a baby, this baby Ji Lian Well, even if it is prada トートバッグ wishful son brought 'Wild ancient プラダ スタッズ 財布 furnace' confrontation I have no use. '
side cold body flash, flew out from the 'eight Buddha' at home.
Jia blue gently sigh, prada sat down cross-legged and started running saver.
'That Jia Blue senior sister apprentice really interesting to me, but ...... ..........' After 方寒飞 out eight Buddha, secretly sighed.
'What are they afraid! eat her cold side you later do the magic figure of God, three thousand imperial concubines are too few, then there are countless lives Great concubine, プラダ メンズ ベルト and even countless confidante. Even Extreme wind feather palm to teach you , then when there are countless romantic bonds in the body. '
Yan growled figure in their lives.
'eternal giant marble so pradaの財布 I say it, and now I'm going to party Kiyoshi, with her immortal power breaks, refining 相关的主题文章：

Retrieved from "https://en.formulasearchengine.com/index.php?title=Semiprime&oldid=228708"