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/jp/ - Otaku Culture


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43200637 No.43200637 [Reply] [Original]

Is it true a sequence is convergent if and only if it is a Koishi sequence?

>> No.43200646

>>43200637
Calculus with Koishi?

>> No.43202781

>>43200637
Define what a Koishi sequence is first then I will actually try to give a proper answer in the form of a math proof to your question.

>> No.43202951

>>43202781
It's like a Cauchy sequence but more autistic

>> No.43206323
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43206323

Is this the stealth /sci/ thread?

>> No.43206890

>>43200637
This is only true in Koishi metric spaces. But there exist non-Koishi spaces, such as the rationals.

>> No.43211103

>>43200637
The other way around: it is a Koishi sequence if and only if a sequence is convergent.

>> No.43212227

>>43211103
logical biconditionals are commutative so both statements are true (of course assuming here we are talking about sequences of real numbers)

>> No.43214374

>>43212227
Well, not even necessarily the reals, just any complete metric space.

>> No.43215107
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43215107

>>43214374
Ah yes I'm not that far advanced in real analysis and linear algebra...

>> No.43215165

No, it is not true that a sequence is convergent if and only if it is a Cauchy sequence.

A Cauchy sequence is a sequence of real numbers in which the terms get arbitrarily close to each other as the sequence progresses. However, while every convergent sequence is a Cauchy sequence, the converse is not necessarily true. That is, there exist Cauchy sequences that do not converge to a limit.

On the other hand, a convergent sequence is a sequence of real numbers that has a limit as the number of terms in the sequence approaches infinity. However, not all convergent sequences are Cauchy sequences.

In summary, while the concepts of convergence and Cauchy sequences are related, they are not equivalent.

>> No.43228645
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43228645

>>43206323
I miss Yukariposter

>> No.43237562
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43237562

>>43228645
Did anyone actually understood what Yukariposter was saying?

>> No.43237735
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43237735

>>43237562
All we knew is that he was a shizo and believe Yukari was messing with him in real life, don't know what happen but I guess he either in a psych ward or homeless like most shizo.

>> No.43238584

>>43215165
>t. Koishi

>> No.43239220

>>43206890
>there exist non-Koishi spaces
Grim. I wouldn't like to be in a non-Koishi space.

>> No.43241615 [DELETED] 

>>43206323
Yes

>> No.43241693

>>43237735
INTENSE BABYMAKING with BABAA and LA CREATURA RETARDA DEL PALACIO DE LOS ESPÍRITUS DE LA TIERRA

>> No.43243020

which 2hu would you let be your doctoral advisor?

>> No.43243334

>>43243020
Cirno is clearly the strongest AND smartest

>> No.43250625
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43250625

>>43237735
A shame, really.

>> No.43256084

>>43228645
Sorry for my ignorance but who?

>> No.43256284
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43256284

>>43256084
A schizo and supposedly a physicist from /sci/ that used to talk about string theory, physics and math, he also used Yukari in his posts hence the name yukarifag AKA yukariposter.

>> No.43256338
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43256338

>>43256284
Yukari's manipulating the boundaries between the weak and strong forces, what's going to happen?

>> No.43262651
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43262651

>>43256284
Sometimes I wish I chose a more abstract field of study than engineering, but I don't think I have the right type of autism

>> No.43264059

>>43256284
Damn, how long has he been gone?

>> No.43264861

>>43237562
There were people on /sci/ who knew. I have some friends who are math PhDs that used to frequent /sci/ and they've talked with him several times and he was on some discords. Smart guy, cute images, im just a baby still studying commutative algebra

>> No.43266995 [DELETED] 
File: 251 KB, 850x1228, __komeiji_koishi_and_komeiji_satori_touhou_drawn_by_numenoko__sample-e6f03e4effd179d895c83f61032c9fc8.jpg [View same] [iqdb] [saucenao] [google]
43266995

>> No.43274801

>>43200646
I hope not. I hate math.

>> No.43275865

>>43262651
Is the talking anything with sense here or was the writer making shit up on the spot?

>> No.43284472

>>43256284
That's actually pretty cool, I would post Okuu every time I had to explain nuclear fusion or something.

>> No.43291306

>>43284472
Okay but are a you a physicist? can you explain it right now, in this thread?

>> No.43292574

>>43291306
Small balls who loves each other move in the same house, they love each other so much that hug tight and become even smaller balls, this makes water go woosh, which turns on the big fan which turns on your pc so you can watch porn!.

>> No.43292773

Could someone here explain the Koishi Inequality?

>> No.43296994

>>43292574
I was hoping this would turn into a serious discussion instead of this.

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