/sci/ - Science & Math

[Anonymous No.14963228]

Need help with some quicks maths

[Anonymous No.14963231]

0,1,infinity,infinity

[Anonymous No.14963238]

>>14963231
So left to right does matter?

[Anonymous No.14963258]

>>14963238
yes

[Anonymous No.14963265]

>>14963228

[Anonymous No.14963291]

>>14963228
A) Undefined.
B) Undefined.
C) Undefined.
D) Undefined.

What do I win?

[Anonymous No.14963360]

>>14963228
>A. Undefined
>B. Undefined
>C. Undefined
>D. Undefined

[Anonymous No.14963415]

[math] \infty~-~\infty~=~Undefined [/math]
[math]1~+~\infty~-~\infty~=~Undefined [/math]
[math]\infty~-~\infty~+~\infty~=~Undefined [/math]
[math](\infty~-~\infty)~+~\infty~=~Undefined [/math]
Hope that helps OP

[Anonymous No.14963433]

>>14963291
>>14963360
>>14963415
So the first guy is full of shit?

[Anonymous No.14963447]

>>14963433
He's undefined.

[Anonymous No.14963873]

>>14963415
wait... why is it illegal to substitute infinite withm for example, "a"?

[Anonymous No.14963876]

>>14963228
[math]\hat{\infty}\\\hat{\infty}\\\hat{\infty}\\\hat{\infty}[/math]

[Anonymous No.14963878]

>>14963873
Infinity isn't a number

>>14963876
Go away tooker

[Anonymous No.14963890]

>>14963878
>Infinity isn't a number
then what is it

[Anonymous No.14963911]

>>14963890
the size of ur mum's cunt

[Anonymous No.14963935]

>>14963291
>>14963360
>>14963415
not in [math]\hat{\mathbb{R}}[/math]

[Anonymous No.14963962]

>>14963890
>Real analysis
>In real analysis, the symbol {\displaystyle \infty }\infty , called "infinity", is used to denote an unbounded limit. The notation {\displaystyle x\rightarrow \infty }x\rightarrow \infty means that {\displaystyle x}x increases without bound, and {\displaystyle x\to -\infty }x\to -\infty means that {\displaystyle x}x decreases without bound.

[Anonymous No.14963965]

>>14963231
fpbp /thread

[Anonymous No.14964127]

>>14963228
inf - inf is undefined
all are undefined

[Anonymous No.14964379]

You don't need help. Those are perfectly valid formulas.

[Anonymous No.14964404]

>>14963962
>Op, op, op, op, oppa display style!

[Anonymous No.14964408]

>>14963935
What set is this?

[Anonymous No.14964441]

>>14963935
I'm sure you can assert there's an algebra of fairies and unicorns too. It doesn't make these things any better defined.

[Anonymous No.14966129]

bump

[Anonymous No.14966159]

>>14964408
[math]\mathbb{\hat{R}} := \mathbb{R}\ \cup\ \{+\infty\}\ \cup\ \{-\infty\}[/math]
It's the compactification of [math]\mathbb{R}[/math].

[Anonymous No.14966162]

>>14964441
Sure, or out of Bierdeckel and Biergläser.

[Anonymous No.14967577]

>>14964441
Just...

[Anonymous No.14967617]

>>14963228
I can tell you that B is 1+ A and C == D, does that help?

[Anonymous No.14969412]

>>14963935
Wrong.

[Anonymous No.14969418]

>>14963873
Infinity can be a bunch of different numbers. If you double an infinite number you get an infinite number. If you substitute that you get

2a=a

subtract a on both sides you get

a=0.

0= infinite is clearly wrong.

Simple algebraics don't work if you permit that substitution. With a little more trickery you can prove every statement to be true from that (principle of explosion, ex falso sequitur quodlibet)

[Anonymous No.14969528]

>>14963890
An unbounded quantity that is greater than every real number.

[Anonymous No.14969576]

>>14963228
in https://en.wikipedia.org/wiki/Wheel_theory [math]\bot[/math] is used to mop up undefined, so at least in that sense [math]\bot[/math] is the answer to A, B, C and D
>>14966159
not entirely right
[math]{\overline {\mathbb {R}} = {\mathbb {R}} \cup \left\{-\infty ,+\infty \right\}}[/math]
https://en.wikipedia.org/wiki/Extended_real_number_line
[math]{\widehat {\mathbb {R} }}={\mathbb {R} \cup \{\infty \}}[/math]
https://en.wikipedia.org/wiki/Projectively_extended_real_line

[Anonymous No.14969581]

>>14969576
>not entirely right
what did he got wrong?

[Anonymous No.14969600]

>>14969581
well, correct me if im wrong but isn't [math]\mathbb{R}\ \cup\ \{+\infty\}\ \cup\ \{-\infty\}[/math] the same as [math]{\mathbb {R}} \cup \left\{-\infty ,+\infty \right\}}[/math]?

[Anonymous No.14969605]

>>14969581
well, correct me if im wrong but isn't [math]\mathbb{R}\ \cup\ \{+\infty\}\ \cup\ \{-\infty\}[/math] the same as [math]\mathbb {R} \cup \left\{-\infty ,+\infty \right\}[/math]?

[Anonymous No.14969806]

>>14963878
It is a hyperreal number, though, and a hyperreal number is by definition a number.

[Anonymous No.14969810]

>>14963228
Undefined for all. Infinity is neither a number nor a variable

[Anonymous No.14969881]

>>14969806
Yes, and that number is formed by constructing it as a sequence of reals, of the form
(a_0, a_1, a_2, ...) = the number that can be used to represent infinity
It's not a neat apple number and never will be (to anyone with IQ above 80, it should be obvious that one such apple number equals a loss of information compared to mentioned sequence of apple numbers), no matter how much you try.
I somehow doubt OP and other mathlets that try to calculate with infinity expect operate on sequences.