#serious-discussion

1 messages · Page 142 of 1

surreal sapphire
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because its just weird symbol pushing and all the symbol pushing they did in the past obeyes more rules

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so one might think its better to start with known examples and then have students notice more esoteric behavior from that

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ring are a pretty good playground for this

visual breach
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Oh

surreal sapphire
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you have this entire zoo of rings with increasingly "less nice" structure

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and you could introduce them one by one

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and students can notice this structure via examples themselves and actually play with it

visual breach
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I guess that could play out nicer

surreal sapphire
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groups seems simpler but computations in them are actually more esoteric than multiplying and adding polynomials

visual breach
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Certainly since group is more abstract, in that they are usually something which acts on spaces

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Not a generalization of numbers

jagged forge
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personally by the time I started looking at groups, I already was familiar with like, matrices and some of the matrix groups

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so it just seemed to make sense i guess

visual breach
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Opinion: High school should continue to teach matrices

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It gives taste of noncommutative cases, showing that world is not nice even with math

surreal sapphire
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its also worth noting that historically the abstract definition of a ring is older than of a group

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yes, (permutation) groups were already studied previously but not in an abstract setting

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the field of abstract algebra really started with the invention of ideals and then soon modern ring theory followed

bronze pelican
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Interesting

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What would you cover in an intro abstract algebra course starting with rings? @surreal sapphire

vale plover
bronze pelican
brazen mulch
surreal sapphire
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yeah, i would probably follow that book, at least roughly

urban beacon
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what isMAtrices why do we need to study this

surreal sapphire
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pretty general question, cant really be answered like that

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you can read the wikipedia article on matrices

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they're important because they can encode important data about many different mathematical objects

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and at the same time they are very easy to compute with

visual breach
brazen mulch
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@visual breach, bold of you to assume that every country even starts discussing matrices

visual breach
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Hence what I said: High school should

brazen mulch
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you said "continue"

brazen mulch
visual breach
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My bad, wording error

brazen mulch
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High schools should teach matrices

is that what you meant?

visual breach
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Yep

fading crown
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can i spam ?

vernal token
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40 years ago or so, they even taught the type of linear algebra you'd do in the first semester here

visual breach
brazen mulch
fading crown
visual breach
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Then do that, read the rules

vernal token
brazen mulch
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I wonder what high school you're learning under

vernal token
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Though this was 40 years ago, as I said

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It's no longer like this

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My teacher had it like this

brazen mulch
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sure

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what high school did they learn under 🤔

vernal token
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Must've been great

brazen mulch
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their high school better start at 19 years of age

vernal token
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Apparently they decided it's too abstract for elementary schoolers

brazen mulch
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I really need to know for what age these schools started

vernal token
royal creek
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ζ(s) = 1 + 1/2s + 1/3s + 1/4s + …

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Oops

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Wrong

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Simplify the following algebraic expressions. A) -2x + 5 + 10x - 9. B) 3(x + 7) + 2(-x + 4) + 5x

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I need help

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With mah homework

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Wait

brazen mulch
vernal token
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grade 12 is around 18

visual breach
royal creek
#

Nani

visual breach
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Maybe it is true that mankind's intelligence is on downtrend

royal creek
#

Common sense isn't really common

brazen mulch
royal creek
vernal token
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There was, yes

visual breach
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Assuming uni at 19

vernal token
royal creek
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But some school districts in Oregon offer a grade 13

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And in Canada grade 13 was replaced with OAC for students starting high school Grade 9 in 1984

brazen mulch
royal creek
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New message!!

brazen mulch
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huh

midnight iron
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is there a way to keep track of the sig figs in binary?

river moon
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what do you mean by that exactly?

midnight iron
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binary number system

river moon
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there are different levels at which you can "keep track of significant figures" and it also depends on what you mean by "in binary"

midnight iron
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yeah

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here's the exact question

river moon
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by definition every rational number can be represented in binary given enough bits

midnight iron
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i am learning about conversion from binary to hexadecimal (in digital electronics)

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i learned that for the fractional part of the binary number, we need to add trailing zeroes in order to make convertible into a hexadecimal

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for example 0.1000010 is the fractional part of a binary number

river moon
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fractional part of a binary number?

midnight iron
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yeah

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I am sorry if I am using the wrong term here

river moon
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numbers in binary system don't have decimal representation, they're integers

midnight iron
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didn't get ya buddy

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what do you mean?

river moon
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by definition the number in decimal system can be converted to it's binary representation by counting the amount of powers of two that make up that number

midnight iron
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yeah

river moon
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and placing 0 and 1 in proper places

midnight iron
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yeah

river moon
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numbers of the form 100101101 are all integers, there's no such thing as fractional part

midnight iron
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there is

river moon
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this is why i'm asking

midnight iron
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like 0.1 in binary is 0.5 in decimal

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it's a one in the place holder of 2^-1

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so, we get 1/2

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thus 0.5

river moon
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you can just assign 1 in proper position if the number has 2^{-1} in it

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repeat the same thing for 2^{-2}, 2^{-3}, etc

midnight iron
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yup!

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but my question is different

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it's about conversion from binary to hexadecimals

river moon
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surely that doesn't require using any of that fractional business, it's just regular binary to hexadecimal conversion of integer to hexadecimal number

midnight iron
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no, i think my question may seem stupid, but it is valid considering the method adopted to convert binary numbers to hexadecimal numbers

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hexadecimals are used to conveniently represent binary numbers

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for the integral part of binary numbers, we group them in sizes of 4 from right to left

prisma plinth
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Integers or rationals?

midnight iron
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integers

prisma plinth
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Or irrationals I suppose, but that’s just turning it from a power series in one to a power series in the other

prisma plinth
midnight iron
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for example 10001010 would be 8A in hexadecimal

prisma plinth
midnight iron
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?

prisma plinth
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$\sum_{n = 0}^{N}{b_n * 10^n} = x$

midnight iron
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i didn't understand

fathom swallowBOT
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Mizalign

prisma plinth
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Where b_n is 0 or 1

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So you can use Euclidean division

midnight iron
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oh okay

prisma plinth
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I am on mobile right now, let me grab my computer to type this out easier

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Actually btw this is why polynomial division is like long division, because numbers in base 10 are kind of like polynomials

midnight iron
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i am actually more interested in the problem i posed in the beginning

prisma plinth
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Going between basss

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*bases

midnight iron
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yeah

prisma plinth
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Gimme a second

tender tulip
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back

midnight iron
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just to be clear, this is not an exact mathematical translation of a binary number to hexadecimal numbers

tender tulip
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Okay so

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Just an algorithm?

midnight iron
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it's the way it's taught in digital electronics

tender tulip
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I mean the algorithm can be done in arbitrary bases, but it's nice because 2 divides 16 (many times actually)

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So if you have your binary representation, like 10001010, we know that 16 = 2^4, so we can break it into blocks of 4 digits, or pad it to a multiple of 4

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(1000)(1010)

midnight iron
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oh!!

tender tulip
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1010 is 10 in binary, i.e A, and 1000 is 8 in binary, i.e 8

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So we have 8A

midnight iron
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so, this is an exact translation

river moon
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this is quite literally the standard conversion from binary to hexadecimal

midnight iron
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i had a belief this is wasn't the case

tender tulip
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to do the reverse, you just take a hexidecimal number, like 8AF, and reverse it into (1000)(1010)(1111) aka 100010101111

river moon
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what did you mean when you said keep track of significant figures in binary?

midnight iron
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yeah

tender tulip
midnight iron
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so what about when the number is such that there's an incomplete group

tender tulip
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I.e floating point doubles have 53 significant figures in respect to base 2

midnight iron
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we add zeroes right?

tender tulip
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yes

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That works because our base is a power of the other base

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this works if we had like ternary (base 3) and like, base 27

midnight iron
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i get it

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but take for example .010110

tender tulip
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same principle

midnight iron
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what would its hexadecimal be

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.58

tender tulip
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0.(01011)(0000)

river moon
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the dot doesn't change the fact that the number is still being interpreted as a regular binary number

midnight iron
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dot == zero?

river moon
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it's a matter of convention how you mark where the bit related to 2^0 is

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you might not even mark it or put a bar or any other symbol

tender tulip
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It's because any real number in base N is:
$\sum_{n = -\infty}^{m}{c_n N^n}$ where $c_n \in {0... N-1}$

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So we can break it into blocks

midnight iron
fathom swallowBOT
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Mizalign

midnight iron
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that's when i started thinking about the loss of the actual number of sig figs in the original number

tender tulip
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significant figures are NOT conserved between base conversions, usually

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but because 16 is a power of 2, you can kind of take your sig figs of binary, and divide it by 4 and round down, or up

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your choice

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idk if there is a standard for it

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Since you're essentially breaking up your binary number of the form x.xxxxxxx * 2^P

midnight iron
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yeah

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this was an awesome discussion btw

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thanks man

tender tulip
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you're welcome lol

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you made me realize basically floating point doubles have explicitly 53 sig figs as there are 52 bits for the mantissa, plus the 1

midnight iron
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i don't what i did but i'll take the credit

tender tulip
tender tulip
midnight iron
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oh this is good

tender tulip
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gtg

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godspeed homie

midnight iron
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🤝

tender tulip
midnight iron
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yeah got it! just had a look at the wiki

normal fog
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Hello

neat lintel
loud snow
surreal sapphire
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how is it better then to start with groups

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i would motivate groups by just looking at groups of units in number rings opencry

gusty bridge
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just motivate groups by going

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"you like symmetries right? you won't after this course"

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then start with definitions immediately after

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uh tbh though

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i think i would struggle more with rings first

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because rings are similar enough to something familiar

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that i would probably be more prone to making assumptions that aren't actually true

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groups from 0 is like almost forgetting everything you know

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which is hard

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but once you do it i think its good for you

surreal sapphire
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bcs you know how to compute with polynomials

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with groups its kinda weird bcs an intro group class has a lot of "meaningless symbol pushing"

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its also very easy imo to build a ring that behaves in a certain way

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say you want a ring that isnt an integral domain, you just take Z or wtv and build Z[x,y]/(xy)

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this is very intuitive because you add 2 new elements that are zero divisors

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say you want a ring that isnt a ufd, what do you do?

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||Z[x,y,z,w]/(xy-zw)||

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you add some elements and build 2 factorizations that agree

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this gives you infinitely many examples and also teaches you how to build objects that behave in a way you want

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and at the same time its very easy to do computations in those objects

glass peak
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This is the 2nd time this has come up recently and I honestly wasn’t aware that people found basic groups conceptually challenging, I didn’t and to the best of my knowledge, most people in my intro group theory course didn’t either (it was bundled in with analysis 1 and everyone found the groups side of the course far easier, group actions were like the hardest part to grasp maybe?)

I feel like rings first would be a lot from the start, like starting with abelian groups and monoids (obviously you don’t have to use those words) and for polynomials you then have equivalence classes and stuff to worry about, but if you start with groups, everyone knows permutations and symmetries and matrices (obviously nxn matrices also form rings and vector spaces but still)

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I’d be interested to see a rings first approach though, but I just don’t really see how that way would be easier conceptually

tulip depot
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pls tell whats 2+2

deep mango
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My issue is that even if rings are very familiar, the "special kinds of rings" are a lot more confusing

neat lintel
fathom swallowBOT
#

we is typing, they

deep mango
surreal sapphire
neat lintel
#

I'm feeding them knowledge

deep mango
glass peak
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Yeah while rings have a lot of nice properties, like modular arithmetic is easy, but people don’t describe them as a zoo for no reason, stuff like zero divisors and the lack of inverses can just feel weird for people

neat lintel
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They will be like "what's suc" then start a career in number thoery resarch

deep mango
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Because then you can learn quotients without having to worry about normality / ideals

surreal sapphire
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this includes basic math stuff like equivalence relations

deep mango
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To me the one benefit of teaching rings before groups is that ideals are more inuitive IMO than normal subgroups

surreal sapphire
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my algebra class also did basic constructions (quotients mostly) for both at the same time

deep mango
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But

surreal sapphire
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i would only teach comm rings

deep mango
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I do think the focus should be on abelian groups after a first section of the course on general group theory

surreal sapphire
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and then introduce groups where this breaks

tulip depot
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broo

tulip depot
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i am just schooling

glass peak
tulip depot
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so idk these complex maths

deep mango
surreal sapphire
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i mean an intro algebra class should classify fg abelian groups right

deep mango
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I kind of like the artin approach of groups + lin alg simultaneously

surreal sapphire
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i feel like you need more LA later then though

deep mango
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But I also think knowing lin alg well before any other algebra is pretty important

glass peak
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I mean you take an introductory LA course before either of them, but it’s much more computational (not fully, but it’s not exactly an algebra course either)

deep mango
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so idk

tulip depot
surreal sapphire
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group theory many mathematicians dont need too much

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but LA is quite important everywhere, so i really want a year long class on it

deep mango
surreal sapphire
#

human please just read the channel topics and try to read the room, there is a serious discussion going on rn

glass peak
tulip depot
#

can this server help me with maths of like 10th standard

surreal sapphire
glass peak
#

But I think they are actually planning to switch it up in the future since there’s such a long gap between the intro la class the fully general one

tulip depot
#

ok

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thanks guys

surreal sapphire
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frontloading a class on groups seems like you do it just to hit students with abstraction

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what are even the standard examples of week 1 group theory

glass peak
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I think we started with basic graph theory to introduce the idea of isomorphisms

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Then just started with the axioms

surreal sapphire
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i think if you focus on matrix groups its fine

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those at least allow computations

deep mango
surreal sapphire
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the main struggle for algebra students is not having enough examples imo

deep mango
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and then a few matrix groups

alpine verge
surreal sapphire
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the issue with matrices is that computing with anything beyond 2x2 is torture

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one thing i would definitely do if i ever teach algebra is use CAS early on

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this could fix many issues

glass peak
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My LA/rings and modules class teaches sage with it

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Which I do think is helpful, because on the rare occasion you actually have to compute something, like inverting and multiplying some matrices, you definitely don’t want to do that by hand

surreal sapphire
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i compute things every day!

glass peak
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I mean the rare occasion for this course not generally, I know lots of people use it lol

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The commalg and alggeo courses next year uses sage quite a bit afaik

surreal sapphire
#

based

glass peak
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But yeah it’s not typically useful in the LA class since the goal of it is to do everything as generally and abstractly as possible, so the coding assignments are generally quite separate

cinder zephyr
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Or use something like cocalc to offload the programming setup

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Because teaching basic programming + algebra at the same time would probably require cutting corners on both

surreal sapphire
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(luckily i will never teach algebra)

cinder zephyr
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I think teaching algebra could be fun

glass peak
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This is where the strict prereq system in Europe helps, everyone doing the course has taken at the very least 1 very good programming class so you can assume that

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They’re not even teaching us programming in this class, it’s much more just that we have coding assignments in sage in addition to our regular homework

plain owl
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my highschool computer science class was certainly not a very good programming class

jagged forge
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yeah im not sure where the very good comes from opencry

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well i guess i'm not european actually

glass peak
# plain owl what do you mean by that

Yeah this is worded confusingly, I mean everyone at MY uni has taken at least 1 good programming class because it is a prereq to the algebra class

versed gale
#

Haskell

glass peak
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I think the strict prereqs thing can be good because it means you can safely assume things like that

long matrix
#

meow

rapid briar
storm sage
#

I feel like in general there should be recommended prereqs, but let people take what they want with the knowledge that they might fail (i.e. don't slow the class down for people who don't have the recommended prereqs)

cold needle
#

i find professors have difficulty in not slowing down because they habitually explain things

storm sage
#

My school has like an over-a-month period to drop classes though, I'm not sure how y'all's schools function w.r.t. dropping classes?

cold needle
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So i vote for having preliminary tests prior to taking classes

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maybe its too hardcore idk

storm sage
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I'd be in favor of having a preliminary HW assignment to check prereqs though

cold needle
#

It worked well for my calc 3 class but i can see how this is rough for other classes because they can't know well what the prereqs actually cover in full

cold needle
#

of course i am also only talking undergrad math classes

zealous garden
#

Just let me test out of all the credits I should have anyways

storm sage
cinder zephyr
#

It is probably the thing I will miss most once I leave this university to begin grad school

storm sage
cinder zephyr
#

having 8 weeks to drop a class without it going on your transcript is so so so so nice

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I genuinely cannot fathom a 1 week deadline, or even 2

cinder zephyr
#

so the prof gave a prereq check HW that everyone had to work on solo

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enough people dropped

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wasn't even that hard tbh but if you weren't comfy with the prereqs then yea it would be rough

cinder zephyr
heavy mist
#

anyone from toronto

ocean harbor
#

why?

neat lintel
heavy mist
ocean harbor
#

I'm guessing you're planning for uni or what

heavy mist
ocean harbor
#

not even irl?

#

that's sad

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I am personally the same but like I dont care

heavy mist
ocean harbor
#

sure go ahead

heavy mist
#

i dont know how to, plz u dm me

exotic anchor
#

Hello, I've been working through the Natural Numbers Game and I've gotten stuck on the LessOrEqual world level 8 (x <= y or y <= x). Is there a good channel here to ask for help with this?

reef carbon
#

<@&268886789983436800> troll

delicate mulch
#

I think 1+1 = 3 not quite sure though tbh

#

sniped by metal 😔

cold needle
#

joy in the world

delicate mulch
#

oh nvm bot's just slow?

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or did we somehow both ban

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nah I got it smugsmug

reef carbon
glass peak
# storm sage I feel like in general there should be recommended prereqs, but let people take ...

While I do get that and it’s why I’m generally iffy about the strict prereq system, the class actually wasn’t bad if you already knew how to code, you could just do the assignments, the weekly ones were trivial and the 2 large ones were actually of a decent level

If it got fully bogged down in the real basics it would have been shit, but they didn’t so it wasn’t too bad.

Since I did physics too though I had to take their mandatory coding class and that was insanely basic, but luckily everything assigned was available week 1 so I just did everything right off the bat and didn’t worry about it for the rest of the semester, so like it can be made to work as long as they recognise there’s a range of coding abilities in the class

glass peak
reef hornet
#

In a question where i have to find the value for X would it count as a valid answer if i just plug in different numbers for X until i get the correct value?

glass peak
half reef
#

my best friend wrote me into a short story and i just read it and its about someone stalking me 😭

spiral flame
solar condor
#

Somebody in the Christ centered discord just claims that 2019 was their personal best year because fortnite was at its peak.

It's official, the church has fallen into apostasy.

solar condor
half reef
#

quite the juxtaposition

solar condor
half reef
#

not just that, this app in general tends to be quite far from god

solar condor
half reef
#

lmao

burnt ledge
#

why is the fortnite thing apostasy but that fine

solar condor
burnt ledge
#

but discord isnt

quartz sluice
#

helo!

#

is anyone into calculus here

latent edge
#

No

neat lintel
#

lol

cursive apex
#

No

ocean harbor
quartz sluice
#

lol

#

okay'

#

why

lofty mango
little atlas
#

any one on collatz conjecture

lofty mango
#

Damm that's something interesting

little atlas
#

also known as 3n+1 rule

lofty mango
#

Yup there are two rules in it actually

little atlas
#

kakutanis problem

lofty mango
little atlas
#

yeah

#

anyone researching about its proof

paper widget
#

Is there a section for stats of psych

little atlas
#

what?

#

no one has either proved the conjecture or disproved the conjecture

#

anyone's on it

glass peak
little atlas
#

k

#

i see

alpine comet
#

Not that it's incredibly hard, just that we don't know how to approach it effectively

#

We don't even have any meaningful partial results

#

Unlike, say, RH, where it has been proven for many other fields iirc

neat lintel
#

can someone help me with a question

#

like dm me please

storm sage
lofty mango
#

Question 0f what topic?

woven whale
#

i know a guy

storm sage
random tangle
#

Yea but read how to get help page first

uneven lily
#

How old is too old to get into a Math PhD program?

vivid halo
#

21

cold needle
#

im 21 rn

#

its grover for me

glass peak
meager sonnet
vivid halo
meager sonnet
#

I'm also in a program

undone spear
glass peak
#

Guess I just need to skip the last year of my degree if I want a chance sadcat

#

Never mind it’s actually just too late for my I’ll be 21 before next apps season monkey

tall minnow
#

last year of undergrad = applying for grad

neat lintel
#

are you in pure or applied mathematics?

tall minnow
#

I'm not talking about myself, if that helps

glass peak
neat lintel
vivid halo
#

the virgin "applying for grad school while finishing undergrad" versus the gigachad "take a gap year and read 100 papers"

neat lintel
loud snow
#

Not gradschool but anything

#

Not good enough or low confidence -> study up informally, no institution -> achieve goal

#

Like job or school or hobbies

#

I feel like these things value institutionalize knowledge significantly more than independent

visual breach
vale plover
#

pen users, do you prefer black or blue ink?

latent zodiac
#

black

peak tide
#

always black

latent zodiac
#

whatever color the pens i find on the ground are 🤷‍♂️

visual breach
#

I could accept red

latent zodiac
#

my calc teacher mad at me for using yellow

#

it is what it is

cold needle
#

a yellow pen

#

Bro

latent zodiac
#

for the sole purpose of pissing her off

cold needle
#

Opinion discarded, watch this instead: https://www.youtube.com/watch?v=F4_j5W8-L3g

agile fiber
dusty spear
#

I’m year 12 college now (Australian), and I’m taking what is the second highest level of mathematics behind specialist. My final year has just started and I just don’t think I can do it. Our teacher is very foreign, and respectfully almost completely unhelpful. She’s lovely but I can’t see myself even scraping a pass together. I really do want to drop down a level, but my parents are refusing as I’ve done “well” in previous year (consistently top 20 among around 200 students ish excluding specialist), but even then I’d only really be getting Cs which is about 55-60~ percent on tests. I just don’t know what to do. It’s my first day with the new class and I’ve spend an hour on the first textbook page. I just don’t understand. In addition it just drags down all my other classes as I can’t give them time. I just don’t really even know what to do

neat lintel
fervent flame
#

it sounds like youve already made up your mind about the class

#

also this is probably a bit of an early/overreaction

#

give it a few more days and stop being a debbie downer

#

if it still sucks

#

then switch

dusty spear
dusty spear
vale plover
fervent flame
agile fiber
#

blue, red, green, purple. just the colors that came as a set when i bought it

fervent flame
#

which certainly wont help in succeeding in it

#

perhaps this is the first time a class hasnt gone smoothly from the getgo

#

but still

#

keep a positive attitude, maybe talk to a prof, and if you arent making any progress, then switch

neat lintel
fervent flame
#

not US grading system... pls use eyes and reading comprehension. C is 55-60 which is... a C

#

aka

neat lintel
#

You would get academic probation with Cs

fervent flame
#

you are dislikable

neat lintel
dusty spear
#

Thanks for the help guys 👍

dusty spear
#

I’ll stay for a bit longer :).

agile fiber
#

...what kind of school do people go to where C's get you on academic probation

neat lintel
leaden torrent
#

this is a high school

#

i have never heard of a high school giving any sort of probation for anything besides outright fails

#

(or plagiarism)

neat lintel
#

they said college

#

I’m year 12 college now

leaden torrent
#

"year 12 college" means high school

neat lintel
#

Huh what?

leaden torrent
#

why are you commenting on the australian system without understanding it

neat lintel
#

ICANT i thought college was college sorry

dusty spear
leaden torrent
#

(theres a technical difference but the point is that theyre both secondary level)

#

anyway reading your post i would not be concerned at all

#

for one, if your teacher is genuinely incompetent, then thatll probably factor into your class' grade distribution

#

but regardless of that point, most learning in mathematics happens during exercises, not during lecture

#

plenty of students have passed university courses without attending a single lecture just by doing textbook exercises

#

im not saying you shouldnt try to pay attention in class or anything, just that theres ways to overcome these obstacles

#

i think youre kinda overstressing yourself

dusty spear
# leaden torrent i think youre kinda overstressing yourself

I do stress a lot especially about school work. Big concern of mine is not dealing myself appropriate amounts of time for other classes. The way the gaps work and from even doing practice work/tests from classes below, I'd be so unbelievably fine to just drop down a level. I'm just worried because i believe that times I've done well have been a result of some really good teachers. Comparatively I've actually done well in past our school has just had some really hard units.

#

I really have appreciated the advice from people, it has meant a lot

leaden torrent
#

also fwiw all high school math courses have 10 gajillion resources on the internet

#

so if you really do find the lectures inscrutable, you can go on khan academy or pauls math notes or whatever

#

might not align completely with the topics covered in your lecture but it should be close enough (probably a superset)

fervent flame
#

oh yeah. i used prof leonard every now and then for multivar in hs, not that our teacher was bad, but i didnt really pay attention a lot

sonic sentinel
#

why tf and how tf am i more stressed about school now than when it was exam time like two weeks ago

#

every day during exam time i could go to bed and sleep within like 10 or 15 minutes and get 8.5 hours or so of sleep, now i'm so jittery i can't even go to bed until like 7 hours before wake time

errant ridge
#

Why are you jittery?

#

are you drinking coffee before bed time hmmcat

sonic sentinel
#

no

#

i drink coffee ~10h before bedtime, during school

shut ermine
#

do you work out?

#

perhaps you should work out

#

i fall asleep instantly, haven’t had trouble sleeping for a decade

#

mostly just doing physical activity forces sleep

errant ridge
#

,studying

#

,iam studying

fathom swallowBOT
#

Gave you the studying! selfrole.

vast wraith
#

the food at my uni is way too freaking good

#

i ate @frail lagoon today, mwahaha

#

and some gulrot (why are there no carrots in here?)

fervent flame
#

olives sully

frail lagoon
frail lagoon
vast wraith
#

twas amazing

#

was actually sweet potato prepare in three diffirent ways

frail lagoon
#

I just had dinner at my college lol

vast wraith
#

the one on the left was filled (i’ve no idea with what but it was nice) and baked

frail lagoon
#

Like uhhh what do you call it

#

I don't even know the name lol

#

Oh well paella anyway

#

Very tasty

vast wraith
#

sounds lovely

frail lagoon
knotty spoke
vast wraith
#

i found a good spot in my library building, there was some lovely evening sunlight outside

knotty spoke
#

Yea I see

junior jolt
#

i wanted to discuss a different version of halting problem

#

so (idk how rigorous this version of the proof is) but basically the halting problem proof relies on

def g():
  if halts(g):
    loop_forever()
#

i was wondering if you could just replace halts() with has_property() for some arbitrary property?

#

for example i could do:

def g():
  if does_not_print_helloworld(g):
    print("hello world")

if g doesn't print hello world, then it does; if it does, then it doesn't (there's no 'hello world' to be seen)

#

is this correct?

#

as a generalization of halting problem

leaden torrent
junior jolt
#

is it basically

#

'we dont know if the program will halt so we dont know any property until it shows up'

leaden torrent
#

define a function f by

function f(g):
    if g returns [value]
        loop forever

and then apply the halting problem to f

#

the point is that "its impossible for a computer to determine whether an arbitrary program will halt" applies if you replace "halt" by any other criteria

#

"halt" is just used because the original formalism was turing machines

junior jolt
#

i just thought they thought halting was a particularly interesting property

#

by apply halting problem, do you mean to say 'we dont know if f will halt'?

leaden torrent
#

correct

#

we apply the halting problem to f

#

"we dont know" is misleading though

#

thats not what the halting problem says

#

the halting problem doesnt say its impossible to dteermine whether a program will halt

junior jolt
#

its for arbitrary programs

leaden torrent
#

just that a computer algorithm cant determine whether an arbitrary program will halt

junior jolt
#

oh ok

#

ye

alpine verge
leaden torrent
#

all of them

#

to be a bit more formal, define a turing machine whose accept states correspond to the property you care about

#

this turing machine, by the halting problem, cannot determine whether arbitrary input will halt

alpine verge
#

Arent all of these properties just equivalent to some turing jump though?

junior jolt
#

don't we care about any arbitrary property of g

#

also since g is the only arbitrary program here, surely we can only apply halting theorem to g?

leaden torrent
#

i mean, replace g by a function g' that just returns true/false if it satisfies [property]

junior jolt
#

ok fine

leaden torrent
junior jolt
#

yes

leaden torrent
#

the contradiction in the proof of the halting problem is that the program cannot accept itself as an input and return the correct value

#

the point is that, if it was possible to computably determine whether g satisfied a certain property, we would have a function/procedure f that does this

#

but such an f cannot exist (for arbitrary g)

#

if you mean for a SPECIFIC g, then thats fine

#

its "usually" possible to determine the properties of a SPECIFIC procedure by just running that procedure

#

i say "usually" informally here, i am not aware of any combinatorial arguments or anything

#

i just mean like, in terms of questions youd want to ask

junior jolt
#

yeah

#

oh okay i get what's going on

#

i confused myself

lucid bane
#

<@&286206848099549185>

ocean harbor
#

?

#

I wonder why helpers ping are enabled in discussy

lucid bane
#

can you help me ?

ocean harbor
lucid bane
#

noo its not a math ?

ocean harbor
#

it is

lucid bane
#

its a general one

#

plz help

#

i really want an answer

ocean harbor
#

the pictures at least helps

burnt ledge
strange garnet
#

how do you do weighted averages

neat lintel
fathom swallowBOT
#

we is typing, they

neat lintel
#

something like that

strange garnet
#

what the freak

#

i dont think so

#

but thanks

neat lintel
#

Stop thinking!

austere ether
#

I've been awake for 27 hours

neat lintel
austere ether
#

I tried to sleep

#

But all I can think about is polynomials

stray cedar
#

Bro

proven knoll
#

Today I poured nearly all my wealth into ETFs

#

100% stocks 0% bonds

neat lintel
junior jolt
#

(i messed up the capitalization and omitted the last 5 characters)

gray barn
neat lintel
#

How would you prove that the best solution is to just order the digits from least to greatest?

You are given a positive integer N consisting of exactly four digits. Split N into two new integers new1 and new2 by using the digits found in N. Leading zeros are allowed in new1 and new2, and all the digits found in N must be used.

    For example, given N = 2932, you have the following digits: two 2's, one 9 and one 3. Some of the possible pairs [new1, new2] are [22, 93], [23, 92], [223, 9] and [2, 329].

Return the minimum possible sum of new1 and new2.
visual breach
burnt ledge
#

like SERIOUSLY

wanton sierra
#

Is that what you meant by "best solution"?

junior jolt
burnt ledge
#

really no, its fine, we can be freunds again

junior jolt
#

im SO glad our friendship stays unrocked

tender tulip
#

My brain just goes:

Take like 398273, sort into [2,3,3,7,8,9]. num1's digits is the evens, num2's is the odds

#

so (238,379)

#

I think you can prove this relatively simply

fervent pebble
#

it says exactly four digits.

#

,w is 6 > 4

sharp pier
#

infinity is a concept or like a direction

#

its not really a number

#

the same way

#

its too vague

#

and whatnot

#

it has to be a number to be subtracted at all generally

#

problem is infinity is really vague

#

id have to answer 0 in general

#

but like

#

it gets odd

#

yes

#

that

#

doesnt contradict what i said

sharp pier
#

because thats the point
it isnt being subtracted by a number so it doesnt make sense

#

right so what subtraction is at that point becomes vague

#

it isnt

#

and subtracting a tree from a tree is vague in process

#

sure you can pick up a tree but do you need to take away every molecule of the tree? what constitutes as a molecule of the tree? is the moss a part of the tree? is the bark apart of the tree? some bark fell off of this tree, is that bark a part of the tree?

#

subtracting infinity from infinity is also vague

#

is integer minus integer 0?

#

i will relay that answer to you

#

yes, if its the same infinity

#

but infinity is vague

crisp seal
#

What is really vague is what is meant by subtracting infinity from itself

leaden torrent
mental stratus
neat lintel
#

if the infinities in question are the same number then the answer is zero

#

if they aren't the same number then it depends on their value

vivid halo
neat lintel
vivid halo
#

Nope

lunar spear
#

Me neither

flint jolt
#

i can fix that

#

did you know, that i am on 46% on my phone right now

neat lintel
# flint jolt did you know, that i am on 46% on my phone right now

I know that now. Thank you for this information. It truly is such a wonderful world that we live in that we can grow and gain more knowledge at the push of the button. We should really thank all our ancestors for working so hard to keep the human race surviving and thriving. Without their dedication to the cause of popping out babies we would not be where we are today. I hope to one day contribute to man kind and allow our future generations to learn even more things. Maybe they will know what percentage your phone is at before you even know yourself. What a time to be alive!

flint jolt
#

lmfao

#

this is a chatgpt esque reply

#

idk y, maybe its the baby popping that makes it seem that way

storm sage
flint jolt
#

was a nonsense message so any reply to that doesnt really mean much

#

just jokes

cold needle
#

Its one thing to be funny and its another thing to over do it

#

but idk

flint jolt
#

he prlly didnt mean to be rude

#

i thought it was funny

slate turret
# neat lintel I know that now. Thank you for this information. It truly is such a wonderful wo...

Thank you for this information. It truly is such a wonderful world that we live in that we can grow and gain more knowledge at the push of the button. We should really thank all our ancestors for working so hard to keep the human race surviving and thriving. Without their dedication to the cause of popping out babies we would not be where we are today. I hope to one day contribute to man kind and allow our future generations to learn even more things. What a time to be alive!

#

humor is such a thin thread to balance on sometimes

flint jolt
#

yea lmfao

#

been banned far too many times

#

friends cant take my jokes man

#

ends up with me making alts

slate turret
#

alts for free expression

#

im worried on day i might cross the line

#

i probably already have to someone w/o realizing it

flint jolt
#

i find it fine pushing

#

seeing how far i can go

flint jolt
#

prbly

#

hopefully

solar hawk
#

hello

#

What is chat talking about

#

Today

flint jolt
#

idk i just recently spawned

#

youre gonna have to scroll a bit

solar hawk
#

lol I got

#

One of those recommended chat messages

#

It Said “Humor and Balance”

flint jolt
#

lmfao

solar hawk
#

That feature is getting better and better

#

Nobody even said the word balance

storm sage
#

Wait what recommended chat messages??

solar hawk
flint jolt
#

ive never heard of this feature

flint jolt
#

thats like the snapchat notifications ive been starting to get

#

x is on snapchat

solar hawk
#

For example “Jay [panda smthn smthn hurricane] is talking about differentiating matrices”

solar hawk
#

I mean like a discord thing

flint jolt
#

like who tf r u, and y r u telling me youre on

flint jolt
solar hawk
storm sage
#

Weird, I don't have that

solar hawk
solar hawk
storm sage
#

"Matrixes"??

solar hawk
#

XD

#

They must have been spelling it wrong a lot or smthn

flint jolt
#

how do u get this

solar hawk
#

Idk

#

Update the app

#

Iv had it for a while

flint jolt
flint jolt
#

ever

flint jolt
#

hacker

solar prism
#

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa 2>100

#

sos

solar prism
#

hati

ocean harbor
#

what

jagged forge
solar hawk
#

Let’s see if can trigger more for people

#

You know what I love? Fish and chips

#

Gosh fish and chips are just amazing. The preparation is so fire

jagged forge
#

i have actually never had fish and chips

solar hawk
proven knoll
#

Blade of justice

ocean harbor
#

gg

tender tulip
ocean harbor
#

ye

#

its my favourite level

tender tulip
#

I thought it was Spacelocked II for a second

upbeat current
#

hi

tawdry pecan
#

what does this mean

#

reconsider though, look at this funny emoji i found: 🦐

zealous garden
#

Who did you bite?

meager sonnet
#

I love telling people something like "I'm scheduled to be dead between the 14th and the 17th, but I could squeeze you in on the 13th or the 20th"

neat lintel
#

Guys i have a really hard problem

#

What is 1+1

#

I cant get it

surreal sapphire
#

go troll somewhere else

fervent pebble
#

daily 1+1 poster

raven plaza
#

Squeeze pandawow

neat lintel
#

Yo guys question

#

In probability

#

It takes me like

#

5 mins

#

To solve a 3 dices question

#

Is there an easier way?

idle skiff
#

no

lofty mango
neat lintel
#

There is no like formula?

#

Cuz bro it rlly takes 5 mins

#

In my final exam

#

I need the 5 mins

#

As the question worth only 2 marks

raven plaza
#

What's a 3 dice question hmmcat

tawdry pecan
#

It means there are three of them i think

ocean harbor
solar prism
#

1000009>11000000000000

loud snow
#

12 fold path

neat lintel
#

Is there a formula tho?

#

For probability

#

Or no?

#

This is the only way?

fervent flame
#

wtf is a "3 dices question"

reef carbon
#

do you mean solving something to do with the distribution of a 3d6 roll

loud snow
#

Its the way

#

Learn it and you will be better than all your peers at counting

#

In combinatorics, the twelvefold way is a systematic classification of 12 related enumerative problems concerning two finite sets, which include the classical problems of counting permutations, combinations, multisets, and partitions either of a set or of a number. The idea of the classification is credited to Gian-Carlo Rota, and the name was s...

#

To become counting god learn to decontextualize counting problems instantly into a graph or function format

#

Literally read this wiki article and spend a week coming up with different examples of viewpoints and youll be better than most

long matrix
wind kelp
#

@neat lintel It'll be cheaper just developing a software for something that can run your program

#

instead of making hardware for it

unkempt sedge
#

anyone know physics here?

neat lintel
proven knoll
#

I know I was warned to check my stocks just once a year but I’m tempted to check it every day

neat lintel
#

Its normal to check stocks every 15 minutes if you're balling like that

jagged forge
#

also depends on your temperament

#

if you're investing long-term (like most people probably should) and you're liable to panic sell then yea lol

#

dont check every day

fallen mango
#

Yeah

#

Honestly would you guys rather invest in buulding companys who got tons of land claimed for building or the smp500?

tight comet
#

I wouldn't use this place for investment advice

surreal sapphire
#

i would

#

invest in me

brazen mulch
#

so poor, can't even invest in oneself

visual breach
#

Way so many remarks about investing in mathematics server?

#

Honestly it seems like I should enter a short position soon

jagged forge
visual breach
#

Sure, but IIRC it was not like this for about a year.

jagged forge
#

one time when i was a music major i ran into my high school friend who was doing a master’s degree in financial mathematics

#

and he was like “music? nah, get that shit outta here, do math and make money”

jagged forge
visual breach
#

In a year?

jagged forge
#

yeah

limpid sand
tight comet
#

fin math is pretty boring

jagged forge
tight comet
#

if it's fin math already done, someone's already made a simple decision boundary for it

jagged forge
#

though i also put it down for a couple months because it was causing too much pain

limpid sand
#

is it like bifurcation theory and stuff

tight comet
#

if it's fin math not already done, then it's probably not very relevant

limpid sand
#

at what point do you "make" money

tight comet
#

when you join a company as a quant

#

more likely than not, most of the technical knowledge won't be very relevant

limpid sand
#

all my life ive struggled to grasp the concept of where money is made like in an mmo game you cut down trees and sell the logs and the shop magically prints money, but irl i can chop down every tree in the US and if someone with money doesnt want a log all my work is for nothing

#

my leading theory is everything ties back to the military sector, and its defense related tasks that "print money"

tight comet
#

what

jagged forge
#

nowadays many jobs are many layers removed from actually selling stuff to customers, especially in tech

#

there are jobs where your job is to help people in other jobs do their job better

#

etc

limpid sand
tight comet
#

what

limpid sand
#

i watted your what watson

jagged forge
#

get a job for the government or something then idk

#

but that too may be fleeting

#

when your department gets budget cuts and you get laid off opencryfried

limpid sand
#

but the government wont be around long, ya

#

maybe farming is another source

#

food i guess

#

people need to eat always

#

but look at france mdr

jagged forge
#

i let the businesses worry about how to make money

#

they have all sorts of plans and tricks

#

as long as i get paid im good

limpid sand
#

do you not question if you are underpaid

jagged forge
#

yes

#

but you can also switch jobs for higher pay

#

or negotiate

limpid sand
#

what would happen if you asked to have the ceos job

jagged forge
#

i don’t want to be the ceo bleak

#

my boss is the ceo and he is in meetings all the time opencryfried

limpid sand
#

they sound cool

jagged forge
#

ceos in general? or mine

limpid sand
#

yours

#

i bet your office has a snack room with good snacks

jagged forge
#

i agree, tho im not sure what made u think that

#

well i work remote so i don’t have access to the snacks anymore bleakcat

#

but yeah we have some good stuff

limpid sand
#

does your country have a postal service?

jagged forge
#

yeah

limpid sand
#

ask your boss to ship you a regular supply

#

i feel like people avoid talking to bosses like they are people, and it translates subconsciously and bosses subconsciously pick up on it and act crappier because of it

visual breach
#

Interesting

visual breach
#

I do think some kind of "worth" is generated by farming, yea

limpid sand
#

you should remind them with direct human questions like "The office has a snack room but my house only has a pantry that i hab to pay for myself. Can you ship me a box of snacks biweekly and bury the cost in the company books? If not, out of the ceos income works too." Remind them sharing is caring.

#

I feel like if you cant ask that in a meeting then the company doesnt value you

#

i genuinely believe this

#

workers having quality snacks would becof very high importance if i was a ceo

visual breach
#

It all comes down to money for them

limpid sand
visual breach
#

Wdym "quells the rebellions"

visual breach
#

Ah, do you mean like

#

What if worker union interferes?

next blade
zinc jasper
#

Hey, I have sometimes problem to "snap" my focus to topic I am learning from book. Its like: I start in conscious state and then I go to automatic non conscious mode and I have to reread multiple times. I bet anyone can relate in some way. What are your thoughts on that?

snow peak
#

legit just read more

#

and take breaks

faint light
ionic star
#

compare with listening to music

#

you learn the lyrics without trying

#

because it's enjoyable

#

like ark says drugs solve it by force making it enjoyable

fallen mango
bleak prairie
#

hello

ocean harbor
#

helo

zinc jasper
zinc jasper
fallen mango
#

What your having is stimulation distress

#

Your addicted to dopamine or something so you keep looking at stuff, make as many less dostractions so your only stimulu is the math question

zinc jasper
limpid sand
#

You need to tell the ceo you cant afford the extra snacks

next blade
#

instead of asking the ceo for snacks ask for their value in hard currency

limpid sand
#

Well you see, ceos care about money, and they dont want to share hard money. But they innately can understand the importance of snacks and will gladly supply them, which if you are smart you can barter elsewhere.

bleak prairie
ocean harbor
#

hbu

rain moat
limpid sand
fervent flame
#

ordered mine today catglasses

jagged forge
#

how long till it arrives?

fervent flame
#

uhh i havent checked

#

lemme see

#

i cant find anything?

#

regular shipping is 3/6 days, so im assuming next next week

#

idk the order -> build -> ship turnaround

jagged forge
#

what specs did you get again?

fervent flame
#

7800x3d 4090 catglasses

jagged forge
#

niiiiice

#

basically the best possible cpu/gpu for gaming

fervent flame
#

gonna be a real gamer^tm

#

yeah

jagged forge
#

what are you upgrading from

fervent flame
#

hp envy laptop

jagged forge
#

brb googling that

#

how old was it

fervent flame
#

from 2018*

#

let me get the specs

#

okay its

#

i7 8565U
intel UHD graphics 620

#

yeahh

#

mega potato

jagged forge
#

damn your mind is gonna be blown with your new pc KEK

fervent flame
#

lmaoo yeah

#

whole new world

spice zinc
#

anyone good at basic algebra

frigid pebble
#

ME

#

I KNOW A LOT

spice zinc
#

actually can you please help

frigid pebble
#

YES

#

YOU CAN TELL ME YOUR PROBLEMS

#

OF MATH

#

I CAN TEACH YOU

slow jewel
#

awwww

slow jewel
scenic patio
#

#help-48 message
@worthy mortar: No. The message that invited action warranted far more serious repercussions than a mere time-out. And actually, that person was probably removed from the server (hopefully for ever). You were timed out separately for whatever reason applicable.

neat lintel
#

Just done my math exam, I failed my mom again ;/

#

If only I concentrated in chapter functions

scenic patio
scenic patio
runic egret
bleak prairie
bleak prairie
shrewd ledge
#

ho is watching anime

ocean harbor
scenic patio
#

u gotta do what u gotta do

neat lintel
magic dawn
#

what does the role emeritus mean here on the server?

surreal sapphire
#

people who used to be active but currently arent

tiny saddle
long matrix
old oak
magic dawn
neat lintel
#

Can somebody help me

ocean harbor
hazy shore
ocean harbor
#

if you don't have a pfp

hazy shore
#

ohh alr

tender tulip
#

$\int_{0}^{\infty}{\frac{\cos(t)dt}{t^x}}$

fathom swallowBOT
#

Mizalign

ocean harbor
lyric scarab
#

no gif here

#

no man

#

any way

ocean harbor
#

there is

lyric scarab
#

??

#

why i cant

#

unfair

ocean harbor
#

you need an active role

tender tulip
lyric scarab
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but ive boosted the server

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well looks like money not solution to everything