/sci/ - Science & Math » Thread #14048444

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Anonymous Sun 02 Jan 20:24:59 2022 No.14048444 View Reply Original Report

Quoted By: >>14048469 >>14048488 >>14048497 >>14048500 >>14048503 >>14048518 >>14048529 >>14048558 >>14048632

You have 10 seconds to explain what natural logarithm is without reverting to reverse functions.

Anonymous

Anonymous Sun 02 Jan 2022 20:29:36 No.14048469 Report

Quoted By: >>14048480

>>14048444
integral of 1/x

Anonymous

Anonymous Sun 02 Jan 2022 20:31:08 No.14048480 Report

Quoted By: >>14048498

>>14048469
false

Anonymous

Anonymous Sun 02 Jan 2022 20:32:41 No.14048488 Report

Quoted By:

>>14048444
>reverse functions
dunno what that is, so I'll define it in terms of inverse functions.
$f(x)=\ln{x}$ when $f\big(\exp(x)\big)=1$

Anonymous

Anonymous Sun 02 Jan 2022 20:34:54 No.14048497 Report

Quoted By: >>14048514

>>14048444
$\ln(x) = \int_{1}^{x} \frac{1}{t} \, \mathrm{d}t$

Anonymous

Anonymous Sun 02 Jan 2022 20:35:20 No.14048498 Report

Quoted By: >>14048514

>>14048480
no, you're false
$\ln x\equiv \int_1^x\frac{dt}{t}$

Anonymous

Anonymous Sun 02 Jan 2022 20:35:34 No.14048500 Report

Quoted By:

>>14048444
maximum compound judaism

Anonymous

Anonymous Sun 02 Jan 2022 20:35:54 No.14048503 Report

Quoted By: >>14048508 >>14048513

>>14048444
the unique function (over the reals) which splits additively over products, is linear in exponential changes to its argument, and which passes through the point (e, 1)

the family of functions not necessarily passing through (e, 1) but satisfying all the other conditions are the family of logarithms

Anonymous

Anonymous Sun 02 Jan 2022 20:36:55 No.14048508 Report

Quoted By: >>14048513

>>14048503
>over the reals
sorry, over the positive reals

Anonymous

Anonymous Sun 02 Jan 2022 20:38:04 No.14048512 Report

Quoted By:

>reverse functions
do you mean inverse? fucking mathlet i'm not answering your questions you don't even know basic terminology

Anonymous

Anonymous Sun 02 Jan 2022 20:38:09 No.14048513 Report

Quoted By:

>>14048503
>>14048508
i suppose the second condition is redundant, also

Anonymous

Anonymous Sun 02 Jan 2022 20:38:37 No.14048514 Report

Quoted By: >>14048519

>>14048498
>>14048497
brainlet take

Anonymous

Anonymous Sun 02 Jan 2022 20:39:33 No.14048518 Report

Quoted By: >>14048530

>>14048444
A logarithm is where you determine how much e needs to be multiplied by itself in order to get the number you feed into it.

Anonymous

Anonymous Sun 02 Jan 2022 20:39:33 No.14048519 Report

Quoted By:

>>14048514
Give a better definition, go for it!

Anonymous

Anonymous Sun 02 Jan 2022 20:40:54 No.14048529 Report

Quoted By:

>>14048444
the infinitesimal generator of a smooth deformation (in the case of a "continuous" uniform scaling with factor e^x this number is x).

Anonymous

Anonymous Sun 02 Jan 2022 20:41:36 No.14048530 Report

Quoted By:

>>14048518
t. wikipedialet

Anonymous

Anonymous Sun 02 Jan 2022 20:49:34 No.14048558 Report

Quoted By: >>14048563 >>14048578

>>14048444
derivative of eulers function. An inverse function if you will.

Anonymous

Anonymous Sun 02 Jan 2022 20:50:51 No.14048563 Report

Quoted By:

>>14048558
>derivative of eulers function
what did he mean by this

Anonymous

Anonymous Sun 02 Jan 2022 20:52:27 No.14048572 Report

Quoted By: >>14048581 >>14048599 >>14048603 >>14048615

Isn't every function an inverse of something?

Anonymous

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Anonymous Sun 02 Jan 2022 20:53:58 No.14048578 Report

Quoted By:

>>14048558
>derivative of eulers function

Anonymous

Anonymous Sun 02 Jan 2022 20:54:24 No.14048581 Report

Quoted By:

>>14048572
no

Anonymous

Anonymous Sun 02 Jan 2022 20:56:51 No.14048595 Report

Quoted By:

Solution to the differential equation e^-y=y’

Anonymous

Anonymous Sun 02 Jan 2022 20:57:46 No.14048599 Report

Quoted By:

>>14048572
lmfao

Anonymous

Anonymous Sun 02 Jan 2022 20:59:18 No.14048603 Report

Quoted By: >>14048642

>>14048572
yes. non-bijective math isn't real math.

Anonymous

Anonymous Sun 02 Jan 2022 21:02:09 No.14048615 Report

Quoted By: >>14048661

>>14048572

Take f(x)=x2 for instance. Given any real number, for instance, a, we have that f(a)=f(-a).

Now try to figure out why you cant have an inverse for the function f. Tip: it is related to the definition of what a function is.

Anonymous

Anonymous Sun 02 Jan 2022 21:06:08 No.14048632 Report

Quoted By:

>>14048444
No one really knows a good explanation for the existence of the natural logarithm

Anonymous

Anonymous Sun 02 Jan 2022 21:08:00 No.14048642 Report

Quoted By: >>14048648

>>14048603
> $x^2$ is...LE BAD!

Anonymous

Anonymous Sun 02 Jan 2022 21:08:57 No.14048648 Report

Quoted By: >>14048657

>>14048642
not if you just do it on the correct real numbers (the non-negative reals) retard

Anonymous

Anonymous Sun 02 Jan 2022 21:13:06 No.14048657 Report

Quoted By: >>14048665

>>14048648
> $sqrt{x}$ is... LE GOOD!

Anonymous

Anonymous Sun 02 Jan 2022 21:13:58 No.14048661 Report

Quoted By: >>14048691 >>14048726

>>14048615
Retard. He said every function IS an inverse of some function, not HAS an inverse. In you example the function x^2 is a left inverse of the square root function and the negative square root function

Anonymous

Anonymous Sun 02 Jan 2022 21:15:04 No.14048665 Report

Quoted By: >>14048671

>>14048657
yes.

Anonymous

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Anonymous Sun 02 Jan 2022 21:18:07 No.14048671 Report

Quoted By:

>>14048665

Anonymous

Anonymous Sun 02 Jan 2022 21:22:15 No.14048691 Report

Quoted By:

>>14048661
the claim that every function is an inverse (left or right or both) of some other function is simply wrong.

Anonymous

Anonymous Sun 02 Jan 2022 21:30:57 No.14048726 Report

Quoted By:

>>14048661
i really hope this was a joke post

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