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/sci/ - Science & Math


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10542885 No.10542885 [Reply] [Original]

´

>> No.10542905

>>10542885
9^e = 392.554602272...

>> No.10542912

stupid thread
I have a better question
how to improve my eyesight? I'm almost completely blind
glasses don't help and I can't afford laser op

>> No.10542949

>>10542912
You need to build muscle, the healthier diet from it will help your eyes.

>> No.10542959

>>10542885
9^e = 9 * 9 * 9^(2-e)

>> No.10542968

>>10542912
Have a healthy diet, one that facilitates good eyesight. Other than that, have smarter viewing habits.

>> No.10542986

>>10542885
>>10527130
>>10527130

>> No.10543007

>>10542968
>>10542949
wwhat is healthy diet?

>> No.10543021

>>10542959
I came here to post this

>> No.10543039

>>10543021
Is it a known meme or how would you have writte down that wrong statement in particular?

>> No.10543042 [DELETED] 

eeeeeeeee

>> No.10543048

>>10542885
9x9x9

e=3=pi

>> No.10543055

>>10542905
>>10542959
>>10542885
Exponentiation can't be defined by recursive multiplication on non integers. How can you all be so sure that 9^e is even a number?

>> No.10543066

>>10543055
Is it an operator?

>> No.10543069

>>10543066
what do you mean by that?

>> No.10543070

>>10542885
[math]9^e=e^{e ~ ln9}[/math], where [math]e^x[/math] is defined as the solution to the differential equation [math]Df(x)=f(x)[/math] and [math]f(0)=1[/math], and [math] ln(x) = \int_1^x \frac{dt}{t}[/math].

>> No.10543076

>>10543069
>he doesn't know what an operator is

>> No.10543079

>>10543070
you can't be sure that a real solution to the differential equation is guaranteed.

>> No.10543084

>>10543079
Sure can, Picard-Lindelof.

>> No.10543086
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10543086

>>10543070

>> No.10543088

>>10543076
>is
>it
>an
>operator
>?
is what an operator?

>> No.10543097

>>10543084
>requires completeness on the reals
The theorem is irrelevant.

>> No.10543098

>>10542959
> 9^e = 9^(4-e)
Someone needs to go back and review his exponent rules

>> No.10543100
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10543100

>>10543086

>> No.10543105

>>10543097
What's wrong with the Dedeking cut construction?

>> No.10543119

>>10543105
Nothing. What's wrong is the theorem was discovered before Dedekind. You got lucky, you fucks.

>> No.10543126
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10543126

>>10543119
Dark spirit status: banished.
Clean the thread up, jannie.

>> No.10543796

just find a taylor expansion for 9^x and plug in e. great way to define exponentiation over the reals

>> No.10543802

you can define exponentiation for the rationals trivially and then just cauchy sequence that shit to the reals

>> No.10543921

>>10543070
>where [math]e^x[/math] is defined as the solution to the differential equation
holy shit kill yourself faggot.
[math]e^x[/math] is defined as [math]lim_{n \to \infty} (1 + \frac{x}{n})^{\frac{1}{n}}[/math]

>> No.10543927

>>10543126
based math shaman

>>10543105
>>10543119
cauchy sequences construction is superior to Dedecuck cuts any day of the week except Sunday

>> No.10543934

>>10543802
>then just cauchy sequence that shit
/sci/ now officially works as an anonymous image board.

>> No.10543960

>>10542949
Inb4nomusclemassguy

>> No.10543976
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10543976

>>10543086

>> No.10544040
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10544040

>>10543070
>he didn't do early transcendentals

>> No.10544227
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10544227

>>10543976
>>10543086

>> No.10544232

>>10543921
>what are equivalent definitions

>> No.10544255 [DELETED] 

>>10543921
[math] \displaystyle
lim_{n \to \infty} \left ( 1 + \dfrac{x}{n} \right )^{\frac{1}{n}}
[/math]
Optimized.

>> No.10544261

>>10543921
[math] \displaystyle
\lim_{n \to \infty} \left ( 1 + \dfrac{x}{n} \right )^{\frac{1}{n}}
[/math]
Optimized.

>> No.10544276
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10544276

>>10544040
>tfw the morning class was full so had to do late transcendentals instead

>> No.10544278

>>10544232
two statements being equivalent doesn't change the fact that one is the definition and the other isn't
drop out and never look back. you're useless

>> No.10544840

>>10543088
You dense motherfucker. Let me rephrase the question. Does it happen to be an operator?

>> No.10544863

>>10544840
Is this a forklift meme?

>> No.10544971

is this the brainlet math helpthread

someone halp me find local max/min for x^4e^-x

>> No.10545060

Knuth defines real exponents as far I can tell (TAOCP 1, p. 22), is there anything wrong with applying his fairly simple definition here?

>> No.10545203

>>10544971
Take first and second derivatives, find their roots.

>> No.10545578

>>10544840
>does it happen?
>is it an operator?
What is it?

>> No.10545605

>>10545578
an operator

>> No.10545629

But what is 9^(a+bi)

>> No.10545646
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10545646

>>10544040
>mistaking the title of a freshman-year textbook for the name of an actual subject

>> No.10546002

>>10545629
(9^a) * (9^b)^i

>> No.10546007 [DELETED] 

>>10543055
Because exponent is defined as the differentiable function that satisfies f(x)=f’(x) for any real x and f(0)=1.

>> No.10546028

>>10542885
>>10543055
>What is 9^(1/2)?

>> No.10546038

>>10544971
Function is non negative and zero at x=0, this is the first minimum

>> No.10546045

>>10543055
It's defined as a limit. Now go read a book instead of asking to be spoonfed.