@math_with_ash: calc is short for calculator btw #mathiscool #womeninstem #math #mathematics #algebra #geometry #precalc #apprecalc #calculus #calc #apcalculus #apcalc #differentialequations #linearalgebra #analysis #realanalysis #complexanalysis #proof #mathproof #satmath #actmath #putnam #mathcompetition #deepmathtiktok #maththeory #mathtips #mathtricks #mathhack #teachersoftiktok #TikTokLearningCampaign

math with ash!
math with ash!
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Tuesday 15 July 2025 01:37:56 GMT
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ireshdissanayaka
Iresh Dissanayaka :
n^2 = ((n-1)+1)n = n(n-1)+n if n is odd, n-1 is even. if n-1 even, n(n-1) even, then if n(n-1) even, since n is odd, n(n-1)+n = n^2 is odd.
2025-07-18 19:47:27
0
casemanagementdoc
CaseManagementPhysician :
My discrete math self study is finally paying off.
2025-07-15 02:37:36
185
the_smiddy
Matthew Smith :
Q.E.D. will always mean Quite Enough Done to me
2025-07-15 09:32:00
212
boet_legend
Akhona :
You can also let 2k^2 + 2K = t element of Z so the final result looks pretty as 2t+ 1 😈
2025-07-30 05:59:34
0
mathis999fr
mathis999FR :
I had this in my Math 1 University, how to proof somthing, i get it, but proofing something is a little difficult
2025-07-29 11:23:36
0
wterdragon5
wterdragon5 :
fun fact: calc is short for the latin word calculus which means small pebble.. yes calculator is derived from calculus.. lol
2025-07-21 05:37:42
0
itz_mikko_mikko_mi
Itz_amiko(Taylor's version) :
odd×odd is always odd
2025-07-27 11:25:51
0
luisduran0170
luisduran0170 :
How do you do these videos?
2025-07-29 00:23:17
0
manitehei
manitehei :
watched the whole thing and still didnt get it 😃
2025-07-29 08:12:03
0
stoicpanther
Apollo :
n^2 = n(n-1) +n n-1 is even any number multiplied by an even number is even so n(n-1) is even an even number plus an odd number is odd so n(n-1) +n is odd
2025-07-16 20:02:55
0
sciencepen
SciencePen :
If n² even, then n is also even. 😉
2025-07-15 01:49:57
360
mic11225
Mic :
If n is odd, n^2 has to be odd because a number can only be even if one of its factors are 2. To be even itself is to be divisible by 2 and to be odd is to not be even.
2025-07-16 12:01:47
0
micha_420_69
Michael :
Does this mean that 0 is even?
2025-07-16 15:45:54
0
stemhelp123
STEM Help :
Could you tell me what you use to film your videos please? And what iPad/software are you using (please)
2025-07-16 20:21:31
0
laureneliiizabeth
lauren :
im taking abstract algebra rn and i miss these kinds of proofs💔💔💔
2025-07-20 04:17:28
0
doomsdaycount
Black :
Can this be prouved by mathematical induction?
2025-07-19 05:23:07
0
aldairbc_
Aldair :
Your epsilon at the end looked like a plus sign to me so I got confused for a sec lol
2025-07-19 18:50:46
0
luskkkaaas2
lsclscloveeee :
Just use the definition of an odd number. A similar question was on a major test in Brazil (UNESP, if i remember)
2025-07-25 09:27:06
0
_marcus.d_
_Marcus.D :
could you also just prove by exhaustion? i know its slower but i feel like it would always work
2025-07-15 20:06:46
16
shaaz.89
Shaaz :
I would just do it like this: If n is odd, n-1 must be even. n^2 = n(n-1) + n = odd(even) + odd = even + odd = odd I’m assuming here that odd x even = even, and odd + even = odd. Both of which are trivial.
2025-07-16 04:14:37
0
whisper.joy
Joy :
Wow that’s beautiful, good explanation! , I love math and I’m 14 ( I learn calculus right now ), so what branch of math is this and what resources do u recommend to study this from ?
2025-07-15 19:56:30
0
annikalva
annika :
discrete i miss u 😢😢😢
2025-07-15 02:47:18
16
hiyas154
Crystal :
I dont get it, but its still awesome
2025-07-15 13:35:27
0
kerrse
kerrse :
what does ∈Z mean
2025-07-15 05:33:18
7
cool.user.name3
user7653783866693 :
n ≡ 1 (mod 2) => n^2 ≡ 1 (mod 2)
2025-07-18 08:05:11
0
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