RH

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@ryanng1905 17 күн бұрын

God bless you

@Mann_neet 17 күн бұрын

If i have x value how to get the first number before mod

@yrus7802 18 күн бұрын

this video a blessing

@samueldeandrade8535 21 күн бұрын

0:04 no, that's the null sign, the symbol to denote the empty set. Phi is something else.

@RandellHeyman 21 күн бұрын

You are correct. I think at the time I just used what was in Word. But that's no excuse. Thx for pointing it out.

@samueldeandrade8535 21 күн бұрын

@@RandellHeyman hehe. That's nice. I really don't care about the notation, you did a good job. Keep doing it. We need good math content creators.

@NotFlame 27 күн бұрын

what if the x has coeffecients to solve? Like i have this question that goes: 2x congruent 6 mod 14 3x congruent 9 mod 15 5x congruent 20 mod 60 Just confused a little bit, anyways the video was very helpful thank you!

@RandellHeyman 26 күн бұрын

In this case you can divide the first equation by 2 to get x congruent to 3 mod 7 (you might like to prove that it is ok to do this). Do the same for the other equations and then use my video.

@NotFlame 26 күн бұрын

@@RandellHeyman oh thank you!

@ahmadalzah3065 Ай бұрын

God bless you

@RandellHeyman Ай бұрын

Thanks

@mark_tilltill6664 Ай бұрын

You still have a problem with addition, Believe it or not.

@JonathanSebastianS 2 ай бұрын

I wanna ask for the term of gcd is one, is this term for two problems above or just for modular multiplicative invers?

@theguythatplaysuniversesan9869 2 ай бұрын

human

@BELGACEMMERIEM23 2 ай бұрын

pretty cool explanation

@bugr4378 2 ай бұрын

Thanks sir . 2024

@RandellHeyman 2 ай бұрын

Thanks for commenting. There is another video on big O also.

@tonymontaro 2 ай бұрын

Best explanation so far.

@RandellHeyman 2 ай бұрын

Thanks. I'm glad it helped you.

@randyvines1497 3 ай бұрын

Thankyou so much, none of my lecture notes are making sense but this does

@RandellHeyman 3 ай бұрын

Thanks for letting me know.

@ChanyaM 3 ай бұрын

Thanks, helped a lot!

@justinhunt8518 3 ай бұрын

so glad i understood absolutely nothing that was said

@RandellHeyman 3 ай бұрын

My accent?

@Shreya-vz9ei 3 ай бұрын

thanks!

@RandellHeyman 3 ай бұрын

You're welcome.

@sandraa1234 4 ай бұрын

Why did my teacher just skip to teach this bit? Thank you for a good video.

@RandellHeyman 4 ай бұрын

Glad it was helpful!

@sivakumartharmalingam4305 5 ай бұрын

Gcd 15 and45

@markkane1632 5 ай бұрын

Another great explanation - this is a fantastic resource. RH is a great educator, someone who breaks it down simply for students, rather than some academics who seem to take pleasure in showing how clever they are by describing things in a complex way!

@RandellHeyman 4 ай бұрын

Thanks for the positive feedback.

@markkane1632 5 ай бұрын

It's great to find a maths teacher who explains thing simply for us normal mortals! Thank you!

@RandellHeyman 5 ай бұрын

Glad it helped

@user-bn4st6qm8g 5 ай бұрын

cool

@Kaneki 6 ай бұрын

best explanation of this i've seen.

@RandellHeyman 6 ай бұрын

Thanks, appreciate you taking the time to let me know. Great that it's still helping people.

@EtreNameless 6 ай бұрын

What about 26?

@RandellHeyman 6 ай бұрын

Go to 5'00" on the video and I explain.

@x_iamnotrobo_xplayz252 6 ай бұрын

youtube.com/@Enjoying8?si=Oi5M-6A59FbuPh45

@x_iamnotrobo_xplayz252 6 ай бұрын

This is great for math

@pierrewagner4190 6 ай бұрын

The most clear and structural explanation without just using the usual steps without reason like other videos!!! Thank you !😇

@RandellHeyman 6 ай бұрын

Thanks. Appreciate such positive feedback.

@Raphinium 7 ай бұрын

The last one was real absurd!❤

@RandellHeyman 7 ай бұрын

Thanks for commenting. One of my colleagues found a variation that gives 1 divided by e squared.

@Raphinium 7 ай бұрын

@@RandellHeyman Great job!❤️ can you please make a video explaining why this "e" thing shows up everywhere as a messenger of continuity and calculus?

@RandellHeyman 7 ай бұрын

See my video titled The making of the video e

@jacobmarch1297 7 ай бұрын

Thanks Mate! Great video

@RandellHeyman 7 ай бұрын

Glad it helped. Thanks for letting me know.

@samirnoori767 7 ай бұрын

very unclear solutions. Just goes direkt to the answer.

@RandellHeyman 7 ай бұрын

Sorry you didn't understand it. Probably best to find another video, but if you let me know where you first get stuck I'm happy to explain further.

@seojio8014 7 ай бұрын

extremely informative content out here, would've never figured out how it worked if not your help. Thanks you

@RandellHeyman 7 ай бұрын

Thanks for commenting. Great to hear that my 10 year old video is still helping people.

@nBodyResearch 8 ай бұрын

im sorry lol but how can anyone say this is a good explanation?? he just says substitute this line with this line?? like which part do i substitute with what lol

@RandellHeyman 8 ай бұрын

Sorry you couldn't understand. There are of course other videos that might be better for you. Otherwise.... You are probably getting stuck around the 2 min mark. On the right hand side I show my workings to express 1 as the difference between multiples of 3000 and 197. From the last line on the left I have 6=1(5)+1. This means that 1=6-1(5). So I write that on the right. Now I want to get rid of that multiple of 5. To do that I look at the second last line on the left. This is 11=1(6)+5. This means that 5=11-1(6). So I can replace 5 in the first line on the right with 11-1(6). So then I get 1=6-1(11-1(6)). This means 1=2(6)-1(11), which is 2nd line on the right. Next I want to replace 2(6). To do this I use the 3rd last line on the left. This continues until I get to the last line on the right side.

@nBodyResearch 8 ай бұрын

@@RandellHeyman ahhh cool, thanks

@Grassmpl 8 ай бұрын

I immediately know the answer and this is not the video for me but I'm watching it anyways.

@vaishnavj2589 8 ай бұрын

Should the polynomial we are dividing be irreducible or primitive?

@RandellHeyman 8 ай бұрын

Irreducible

@vaishnavj2589 8 ай бұрын

Great video. Thanks

@RandellHeyman 8 ай бұрын

Glad you liked it!

@MC-Minority 9 ай бұрын

0:44 3000 = 15(197) + 45 3000 div 197 = 15 3000 mod 197 = 3000 - (197 *15) = 45 2:05 Left side of video 6 = 1(5) + 1 (solve for 1) 6 -1(5) = 1 1 = 6 - 1(5) (just switched sides, now it looks like the top right) Now get rid of the 5 from this equation So we work with the 2nd last equation on the left side 11 = 1(6) + 5 5 = 11 - 1(6) Now plug into [5 = 11 - 1(6)] into [1 = 6 - 1(5)] 1 = 6 - 1(5) 1 = 6 - 1(-1(6) +11) 1 = 6 +6 - 11 1 = 2(6) - 11 Repeat the process one more time Use the 3rd last equation on the left side and isolate 6 17 = 1(11) + 6 17 - 1(11) = 6 6 = 17 - 1(11) [re-expressed the equation] Plug [6 = 17 - 1(11) ] into the 2nd equation on the right side [1 = 2(6) - 11 ] 1 = 2(6) - 11 1 = 2(17 -1(11)) - 11 1 = 2(17) -2(11) - 11 let a = 11 1 = 2(17) -2a - a 1 = 2(17) -3a 1 = 2(17) - 3(11) Hopefully, that helps, that was too much mental arithmetic going on for me 🤣😭

@kaikun26 10 ай бұрын

Much help thanks a lot.

@RandellHeyman 9 ай бұрын

Glad it helped

@xbz24 10 ай бұрын

Thanks a bunch❤

@gilberttheisen9270 10 ай бұрын

FERMAT n'a jamais utilisé tous ces calculs inconnus de son temps ! La solution est bien plus facile. Trouvez d'abord l'équation générale UNIVERSELLE cachée de FERMAT, valable quelle que soit la valeur de Zpuissance(N) et ENSUITE, vous en déduisez que Zpuissance(N) =Xpuissance(N) + Ypuissance(N) n'a pas de solution ! (conjecture de FERMAT).J'ajoute que c'est le plus beau CANULAR mathématique de tous les temps et c'est un mystère de voir autant de mathématiciens tomber dans le piège en formulant des théories inconnues de FERMAT .Il y en a même qui pensent que FERMAT n'a jamais eu la démonstration ! La démonstration est si courte et si facile que vous ne trouverez pas, cherchant une solution compliquée. Ce n'est pourtant pas difficile à comprendre ! Pour ceux que ça intéresse , afin de ne pas me répéter encore une fois, aller sur d'autres sites de FERMAT pour avoir plus d'explications de ma part..

@faridabdi3590 10 ай бұрын

The explanation for question one does not make sense to someone who knows nothing about this subject, the syntax and operations performed are inexplicable: Because Randell says 5 mod 3 = 2 mod 3 Without any explanation of why that is or how such a stupid looking syntax came about. Therefore not worth even trying to look at the other questions he aims to explain

@RandellHeyman 10 ай бұрын

Sorry the video didn't help, and thanks for letting me know. If you can't find help elsewhere email me through my website and I'll try to help further.

@TheYmBProduction 11 ай бұрын

Just amazing! Thanks to you i saved a lot of time

@RandellHeyman 11 ай бұрын

I appreciate the feedback; thanks.

@namdarbolour9890 11 ай бұрын

Great examples!

@RandellHeyman 11 ай бұрын

Thanks.

@ricardochambilla2875 Жыл бұрын

very useful, ty

@RandellHeyman 11 ай бұрын

Glad it was helpful!

@dashdroptv Жыл бұрын

That was super-easy to follow! Thank you.

@RandellHeyman Жыл бұрын

Thanks for the positive feedback.

@vearlleroyvillanueva6123 Жыл бұрын

is 5^34 divided by 17 have a remainder of 1? Cause the textbook I have has a different answer.

@RandellHeyman Жыл бұрын

I don't think the answer is 1.

@vearlleroyvillanueva6123 Жыл бұрын

@@RandellHeyman I figured it out. I just misunderstood the theorem. Thank you for responding.

@user-qs4yo1qp9i Жыл бұрын

merci bcp j taime fort

@RandellHeyman 9 ай бұрын

Merci

@pppkenken6610 Жыл бұрын

Triangle form is modular form. Proof of x^n+y^n=z^n < triangle ratio.

@sundaytheblack3111 Жыл бұрын

Hi this is an amazing video thank you! Just wanted to clarify if a_0 is meant to be divided by 2 in the original formula at the beginning? I’ve seen it like that on a lot of other formulas online, I could be wrong though!

@RandellHeyman Жыл бұрын

I think what I have in the video is correct; a_0 is meant to be divided by two. Go to 4'35" where I say for a_0 you just integrate both sides with respect to x between -pi and pi and then solve for a_0.

@user-ti7me6yv7w Жыл бұрын

I hate my lecturer who never makes things clear and also doesn't point out where to study, he'd better leave the academy since he's that incompetent to teach the student. Everyone suffers other than those who already got a mathematics background, everyone.

@surflougbe5974 Жыл бұрын

Sorry but this explanation is very difficult to understand, no idea what is even going on

@RandellHeyman Жыл бұрын

Sorry to hear that. If you tell me exactly where you first had trouble I might be able to help. Otherwise try to find a better video :)

@pppkenken6610 Жыл бұрын

x^n+y^n=z^n is natural number combination three take in set theory are the three theory did a graph undercover

@halaganiramya1856 Жыл бұрын

thanks a lot sir I understood the concept very easily😃

@RandellHeyman Жыл бұрын

Great. Glad it helped.

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