RELATIONS - DISCRETE MATHEMATICS

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We introduce relations. How to write them, what they are, and properties of relations including reflexivity, symmetry, and transitivity.

#DiscreteMath #Mathematics #Relations

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x-y != 0

This situation is not transitive. xRy and yRz imply xRz. Consider the case 3R4, 4R3, therefore 3R3. We know 3R3 is 0, so the relationship isn't transitive!

Trevtutor
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Thank you. You are literally the only person who can explain this in simple English it seems. My professor seems to get joy from talking in the most confusing, and ambiguous terms possible

sontath
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i wish more teachers were like you. You make stuff way more intuitive and easy to understand.

loremipsum
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"and if you don't get confused... I really hope you don't" haha thank you

richardt.rogers
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i just started computer science at uni this year and i got recommended your amazing videos! They are so helpful, even if my main language isnt english i still managed to understand you easily and mathematics have their own universel language which helps even more. Thank you again

kallychicken
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I got an A+ on my test.. you're awesome...keep it up 💪👍

MaxzeeKVO
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Hey, I just wanna let you know that this video helped me so damn much. Thank you very much, you have no idea how good it felt when I finally had that eureka moment after many weeks having no idea what my professor was talking about. Keep doing what you're doing bro.

groundg
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I was so stuck on transitive and your less than sign example just exploded a eureka, thanks a million.

rorydaines
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You are an excelent Prof., thank you very much, it was very clever to introduce the logic tables on the symmetric relationship.

JP-xmqf
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This is such a better explanation than my professor. Everyone in class struggled with the homework on this topic. This helped a bit

KillerKeeton
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11:42 "they want you to play with yourself" oh math, when did you become so enticing?

extremelyhappysimmer
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The diagrams for reflexive symmetric and transitive help SO much.

Graysonvb
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Glad I found your channel before finals! Wish I found it in August, will recommend! Great stuff, thank you!

DrewBrooksPB
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Your explanation is so easy to understand. Hope our Professors could teach as good as you.

mariageorge
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A correction: every function may also be represented as a relation (i.e., as a subset of a Cartesian product), but not every relation is a function. Just think of a simple relation like a total order on a set and you will see that a given argument in a relation may be related to many other arguments and does not have to be related to an exclusive output as a function does.

personaincognita
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0:53 smoothest "L" I've ever seen
your handwriting is so satisfying >.>

leafslizer
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Thank you for the tutorial...seems like you are the only one who can help me understand what my lec teaches me☺☺

amosmaggy
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Am really grateful 🙏 your explanation was superb, it really helped me, thanks sooo much, looking forward to more of your videos 😊

animejacker
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I love your course, the explanation is powerful..

ekleanthony
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u save me while I'm studying last minute for my midterm tmr 🤦🏻‍♀️ thank you so much

jingu