kokulife | Entries tagged with ndmi002

NMAI069 (Mathematical skills) - just set theory nothing much of note.. next week we have a quiz

NDMI002 (Discrete mathematics) [lecture] - probability, defined the random variable and expected value of a random variable, trivial proof of linearity of expectation.. then markov's inequality, only used to prove chebyshev's inequality we'll see what use that has sometime else

NDMI002 (Discrete mathematics) [tutorial] - a quiz that i've made a small mistake on and also didn't write out that well, some problems on probability including the classic 20 people who don't share a birthday problem but also others like electronics with a fixed chance of being broken and sex assigned at birth, all pretty simple things

koku daily message:
take it easy but take it

no NMAI069 today because i was at the psychiatrist in the morning and when i arrived i didn't want to show up for just the end of the class

NDMI002 (Discrete mathematics) [lecture] - problem of a cloakroom attendant which in other words is the probability of a permutation to have no anchors (elements that permute onto oneself).. as the amount of things permuted nears infinity the probability approaches e^-1, with that we ended combinatorics and started with probability we had an example of a disease test with a specific probability of not working out that lead to the introduction of bayes' theorem

NDMI002 (Discrete mathematics) [tutorial] - had a quiz which i failed... after the quiz we had some examples of using the inclusion exclusion principle including counting the amount of surjective functions from and to a finite set!

koku daily message:
that's the way, positivity is the best!

NMAI069 (Mathematical skills) - got 19/20 on the quiz! after we wrote some statements using qualifiers or something..

NDMI002 (Discrete mathematics) [lecture] - proof of the binomial theorem using induction, amount of permutations of poker cards (even without the jokers) is more than the amount of atoms on earth! approximations of factorial its between e(n/e)^n and en(n/e)^n and it's approximately sqrt(2pi)n(n/e)^n which is head exploding emoji, approximations of binomial coefficients.. inclusion exclusion principle and its proof, application of it by counting the amount of numbers divisible by 2 or 3 or 5 under 120

NDMI002 (Discrete mathematics) [tutorial] - finished relations and moved unto combinatorics, more specifically solving equations containing combinations by coming up with good use cases of both sides and proving they describe the same reality

koku daily message:
break glass in case of emergency

alright, i've put off writing blog posts for a bit, but i'm back!! gonna write all of monday to thursday right now on the train

NMAI069 (Mathematical skills) - had a quiz on propositional logic, was simple, after that we went over something or other..

NDMI002 (Discrete mathematics) [lecture] - finished binary relations with the theorem "about the long and broad" proving that the product of the width and the length of a partially ordered is greater than or equal to the its size, then we started with combinatorial counting, permutation is bijection of X -> X, then something about power sets

NDMI002 (Discrete mathematics) [tutorial] - a quiz, i felt rather confident with my solutions, but then the teacher wrote the best solution and they were much more elegant than mine.. after we did some exercises on functions and equivalence relations and didn't have time to get to the partially ordered sets

koku daily message:
time is fuel

NMAI069 (Mathematical skills) - more of the same from last week, as in more propositional logic, what was interesting is that using just negation and the basic ones we defined every possible logic binary operator that could exist

NDMI002 (Discrete mathematics) [lecture] - partition of a set and proof that a if R is an equivalence to a set X, then partitions of R form a partition of X, definition of a partially ordered set and hasse diagrams

NDMI002 (Discrete mathematics) [tutorial] - we finished the proofs that we didn't have enough time for last week and then went onto relations, meaning we had some defined relations and were tasked with finding which properties they have

koku daily message:
god bless vim

NMAI069 (Mathematical skills) - we did propositional logic, nothing that i didn't already know

NDMI002 (Discrete mathematics) [lecture] - binary relations, their compositions, how they all relate to functions and composite functions. then we did properties of functions (injective, surjective and bijective) if they are the same size and finite then being injective proves it's surjective and vice versa. properties of binary relations, which are reflexive, symmetrical, anti-symmetrical and transitive

NDMI002 (Discrete mathematics) [tutorial] - we went over types of proofs (direct, indirect, by contradiction and by induction) and then had exercises where we had to prove various statements using those methods

koku daily message:
tautology

S	M	T	W	T	F	S
1	2	3	4	5	6	7
8	9	10	11	12	13	14
15	16	17	18	19	20	21
22	23	24	25	26	27	28
29	30	31

koku's life journal

studying notes and such

Entries tagged with ndmi002

Monday 2025-11-10

Monday 2025-11-03

Monday 2025-10-27

Monday 2025-10-20

Monday 2025-10-13

Monday 2025-10-06

Profile

March 2026

Syndicate

Most Popular Tags

Page Summary

Style Credit

Expand Cut Tags