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I'm currently studying Discrete Mathematics right now on my own. These proofs are a good summary of what I've been doing. Right now I'm working through the How To Prove It Book by Daniel J. Velleman. I find your channel to be very helpful. Thank you for your videos!👋

thank you

thanks xqcL

great vid man, luv

that's an amazing explanation. I had a project presentation and my topic is about heads and nodes in syntax....... I couldn't find any relation between them they both have almost the same use. can you help me with that, please?

hello pls i think you need to revisit the question on donoughts. I think it is a combination without repalcement because you are asked to choose 12 unique sets of doughnuts from the the 20

Can someone explain why in the case of 4-4 != 0 is symmetric I don’t get it at all

Bruh I thought I was tripping until 2:30

i am not sure your statement about CB -> BC is a fact, simple because A isnt just eqaual B on the left it can be X = CB too, then it can produce anything for the rhs, please check again

thanks a lot

a - b - c | \ \ e f d | \ g h

Its positive 2 for the first one

Aum

Thank you.

Too bad you don't explain where did the idea of the characteristic equation come from.

Last one is same as x-y!=0

thanks teach

Thank, this is very useful for my exam preparation!

bro, you save my life

TrevTutor saving my DM univerisity module 6 years before it started! THANKS SO MUCH ! It makes so much more sense when explained like this ♥

Muchas palabras tienen que ser aprendidas de memoria y no en base a gramática y cosas como ésta en dicho idioma.

Why are the square brackets italicized?

Savior. THANKS A LOT!!! You literally save my final

This is a lifesaver! As a student undertaking the Bachelor of Secondary Education Major in English (BSEd-English), this greatly helps me! Thank you!

There are not enough words to express how much you are saving my life with this videos.

Hi guys, First @Trevtutor thank you very much. Videos are awesome, incredible keep going this way! Now maybe this question was asked and maybe it is stupid however: Does the question is 2 a subset of B valid? If not why, if yes why and how? And yes as you have noticed the 2 here is not encapsulated in set! So it is not written as {2}. 1:19

Your videos are great review for my syntax course!

so we're basically racist towards free variables

11:30, That definition of C-command suggests that X and Y are “sister nodes”, but this definition also suggests that X and Y can have multiple parents… Asumming they aren’t ‘half-sisters’ or ‘partial-sisters’ (these aren’t formal terms),,, then the c-command condition is met. So… PolyTrees are fun. Are there Multiple Roots in Constituents/ related-topics!? That’s interesting…

We sometimes call the elements of trees “Items”, but im not sure why. “Vertices” belong to “Graphs” “Nodes” belong to “Networks” but the language is interchangeable, because there is no formal distinction between those two things, to my understanding. This specific type of tree, is a ‘Tree Spread’ Since the edges are Directed, some mathematicians use the terms: “DAG” (directed acyclic graph), but since this has a single root, you might hear the term “Arborescence” So, fun terminology… Tree Spreads are composed of: - items - a single root item We call the ending nodes “Leaves” Also, Items in a Tree correspond to 1 unique “SubTree”, so it is common to call the items subtrees,, but that property doesn’t extend to some of its ancenstors. That’s a pretty unique property for Graphs, in my opinion. A “Transversal” which is different from a “Walk” (both are related), is what we call iterating through the elements of the graph. Something like that,, it’s also a great term. Cheers

What about those particles in japanese/korean?

Please I want to know if it’s one bar when there is a specifier or two bars

I'm sick of discrete

Hi Trev. Thanks for your videos. How would you solve the same equation as in this video if the equation equalled 1/3^n?

lol, everything was smooth sailing until 13:20.. where the hell did Z And W and v come from???

UA-cam will always be better than our lecturers 😂 Great videos 👍

10 minutes before the test, guys wish me luck (I'm cooked)

00:02 Understanding sum and product rule in permutations 01:47 Finding ways to choose one circle and one rectangle 04:09 Understanding permutations through examples 06:35 Calculating permutations using the sum and product rule 10:15 Understanding Permutation and its application in forming combinations. 14:37 Explanation of permutation with example 17:19 Understanding permutation rules between 100 and 1000 19:05 Finding 3-digit odd numbers with certain rules

pronounce ɗįгծ՛ʐʔ̥ð̀̄͡ɱ͜χ̆

Have you ever dealt with quasi-injective functions? This is a function f:A -> B where f(x)=b has at most finitely many solutions. Does it have any applications? Yes, it has. Consider a convergent real sequence a_n that converges against 0. Then a_n = a can have at most finitely many solutions if a /=0.

bunnygirl143 LOL

Thank you TrevTutor I believe you really do help a lot of people that previously did not have the opportunity to study further due to financial issues or time constraints etc.

its 2024 and he still hasnt made the next video

the implication operator can also be expressed as p->q = max(1-val(p),val(q))

When I was earning my master's degree, I heard a lot about finite state machines (FSMs), but it was all theory - like clouds in the sky: there's a lot of water, but you can't drink it. I toiled for three months after graduating until I implemented my first FSM in code in 1981. Now, there is a programming methodology based on this concept - v-agent oriented programming (VAOP) - with many examples of its implementation. It's best to start learning about VAOP with this article on Medium: "Bagels and Muffins of Programming or How Easy It Is to Convert a Bagel into a Black Hole".

Good explanation

2nd Distributive law explanation is wrong. If u have A + (B*C) , u cannot insert A into the bracket. The arithmetic explanation doesn't work. 10+(3*3) is NOT THE SAME AS 10(3) + 10(3)

How could a point NOT be related to itself? 🤔

Grade A content!