/sci/ - Science & Math » Thread #12411271

44KiB, 1280x369, photo_2020-12-02_13-31-41.jpg

View Same Google iqdb SauceNAO

Abuse of Notation

Anonymous Wed 02 Dec 12:33:22 2020 No.12411271 View Reply Original Report

Quoted By: >>12411278 >>12411413 >>12411460 >>12411471 >>12412513 >>12412532 >>12412789

Why do we allow inconsistent notation to defile mathematics?

Anonymous

Anonymous Wed 02 Dec 2020 12:38:20 No.12411278 Report

Quoted By: >>12411286

>>12411271
Its not inconsistent you're just retarded

Anonymous

Anonymous Wed 02 Dec 2020 12:41:29 No.12411286 Report

Quoted By:

>>12411278
That is nst aniie Ehing tssay. Please Show me my deductisnal error

Anonymous

Anonymous Wed 02 Dec 2020 13:38:34 No.12411413 Report

Quoted By:

>>12411271
Should be defined at the start. It's a way to group vaguely related syntax to have fewer syntactic structures to remember. Many such cases. Sometimes it causes more harm than good, especially when people refuse to define and bulli if you can't understand from context.

Anonymous

Anonymous Wed 02 Dec 2020 13:50:48 No.12411435 Report

Quoted By: >>12412429 >>12412557

sin^2(x) should be sin(sin(x)) and sin(x)^2 should be sin(x)sin(x)

I hate people who write sin^2(x) to mean sin(x)sin(x) when they use sin^-1(x) to mean arcsin(x)

Inconsistent fucking retards.

Anonymous

Anonymous Wed 02 Dec 2020 14:04:32 No.12411460 Report

Quoted By: >>12412421

>>12411271
Second notation is composition not multiplication

Anonymous

Anonymous Wed 02 Dec 2020 14:10:04 No.12411471 Report

Quoted By:

>>12411271
it's not inconsistent you dumb retard
sin^2(x) is sin(x) * sin(x) as per the definition of taking something to the power of 2

in line 2 you assert that taking sin^2(x) is the same as taking the sin of sin(x), which runs contrary to the definition because that's not what it is

Anonymous

Anonymous Wed 02 Dec 2020 15:34:21 No.12411604 Report

Quoted By:

$\sin^{-1} \left(x \right)$ does annoy the hell out of me

Anonymous

Anonymous Wed 02 Dec 2020 20:25:21 No.12412421 Report

Quoted By:

>>12411460
that's correct. And what is the inverse of composition?

Anonymous

Anonymous Wed 02 Dec 2020 20:28:20 No.12412429 Report

Quoted By: >>12412692

>>12411435
so the solution to this conundrum would probably be to just abandon the $sin^{-1}(x)$ notation.

Anonymous

Anonymous Wed 02 Dec 2020 20:55:14 No.12412513 Report

Quoted By:

>>12411271
>sin^2(x) := sin(sin(x))

What the fuck am I reading. OP you are the retard here. go kill yourself for making another thread archived with your bullshit thread.

Anonymous

Anonymous Wed 02 Dec 2020 20:59:01 No.12412532 Report

Quoted By: >>12412605

>>12411271
Any one that uses sin^-1(x) for 1/sin(x) needs to stop.
csc(x), sec(x) and cot(x) were invented to clear up this confusion.

Anonymous

Anonymous Wed 02 Dec 2020 21:08:42 No.12412557 Report

Quoted By:

>>12411435
this

another notation is to use parentehses when the superscript denontes repeated application sin^(2) x=sin sin x, while sin^2 x = sin x sin x, though this will look weird when you try to combine exponents and repeated composition

Anonymous

View Same Google iqdb SauceNAO file.png, 78KiB, 1746x1746

Anonymous Wed 02 Dec 2020 21:23:04 No.12412605 Report

Quoted By:

>>12412532
Actually, cosecant, secant, and cotangent all have their own geometric meanings/origins, along with some other functions you probably haven't heard of.

Anonymous

Anonymous Wed 02 Dec 2020 21:55:58 No.12412692 Report

Quoted By:

>>12412429
Inverse functions are a widely used thing though, it's sin^2 that's at fault

Anonymous

Anonymous Wed 02 Dec 2020 22:21:51 No.12412760 Report

Quoted By:

$\sin(x)^2$ is the correct way to write it
parentheses are pointless here

!!cRdR+QWdjgt

!!cRdR+QWdjgt Wed 02 Dec 2020 22:30:15 No.12412789 Report

Quoted By:

>>12411271
math was already defiled by reals and irrationals, there's no going back.

Capcode	All Only User Posts Only Moderator Posts Only Admin Posts Only Developer Posts
Show Posts	All Only With Images Only Without Images
Deleted Posts	All Only Deleted Posts Only Non-Deleted Posts
Ghost Posts	All Only Ghost Posts Only Non-Ghost Posts
Post Type	All Only Sticky Threads Only Opening Posts Only Reply Posts
Results	All Grouped By Threads
Order	Latest Posts First Oldest Posts First

Your latest searches