01
Probability Generating Functions & MGFs
A self-contained guide from CDFs, PMFs, and expectation through PGFs, MGFs, common distributions, compound sums, and worked problems.
Open library | 8 free PDFs
Ideas worth working through.
Self-contained notes and worked solutions across mathematics, probability, statistics, and physics. Read online or download any document for later.
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02
Mathematics Interest: An Instagram Poll
An exploratory analysis of 67 poll responses using proportions, a z-test, Fisher's exact test, Wilson intervals, and careful discussion of survey limitations.
03
A good place to start
The Birthday Paradox
Why 23 people are enough for a shared birthday to become more likely than not, with exact formulas, intuition, approximation, and pair counting.
04
Actuarial Claim Payment Problem
A step-by-step derivation of the expected value and variance of aggregate claim payments for 1,000 employees across three risk groups.
05
Counting Integer Solutions
A visual introduction to stars and bars, cardinality, permutations, combinations, and bijections through one complete counting problem.
06
Indonesian Cryptarithm Problems
Worked cryptarithms built from Indonesian number words, solved carefully through column carries, distinct-digit constraints, and verification.
07
Latihan Logika Matematika
Pembahasan dua soal logika tentang kuantor, negasi, hukum De Morgan, dan implikasi, lengkap dengan tabel serta penjelasan verbal.
08
Hukum Newton dalam Koordinat Polar
Penurunan lengkap kecepatan dan percepatan polar, empat suku percepatan, kasus khusus, serta aplikasi pada gerakan populer di TikTok.
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About the author
Hi, I'm Giodanno.
I make structured notes from questions that interest me in mathematics, probability, statistics, actuarial science, and physics. This library keeps them easy to read, share, and revisit.