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Algoritma Euclid

Pada setiap bilangan bulat $a$ dan $b$ dimana $b\ne 0$ yang memenuhi $a=bq+r$ dan $0\le r<\mathrm{|b|}$, dimana bilangan bulat $q$ adalah hasil bagi (quotient) dan bilangan bulat $r$ adalah sisa bagi (remainder), berlaku $gcd(a,b)=gcd(b,r)$

Pembagian Euclid

Pada setiap pembagian bilangan bulat $a$ oleh bilangan bulat $b$ dimana $b\ne 0$, pasti ada tepat satu pasangan bilangan bulat $q$ dan $r$, dimana $q$ adalah hasil bagi (quotient) dan $r$ adalah sisa bagi (remainder), yang memenuhi $a=bq+r$ dan $0\le r<\mathrm{|b|}$

Antrian Loket Dimana B di Antara A dan C

Ada enam orang mengantri di depan loket: A, B, C, D, E, F. Berapa banyak susunan yang mungkin sedemikian sehingga B berada di antara A dan C?

The Spendthrift and The Swallow

Aesop (620 - 564 BCE)

A foolish spendthrift saw a singing swallow, tought that summer had come, quickly sold his clothes and eventually suffered from the cold

The Old Woman and The Doctor

Aesop (620 - 564 BCE)

A greedy doctor who prolonged the treament of an old woman and during the course of the treament continuously stealing her belongings

The Moon and Her Mother

Aesop (620 - 564 BCE)

The moon asked her mother to make a gown for her but her mother couldn't make one for her because she keeps changing everyday

Mercury and The Woodman

Aesop (620 - 564 BCE)

An honest woodman who lost his wooden axe was not tempted by golden axe nor silver axe. Mercury gave all three axes to reward his honesty

The Ass, The Fox, and The Lion

Aesop (620 - 564 BCE)

A fox betrayed an ass, his comrades, and gave him up to a lion. The lion betrayed the fox and struck him first instead of the ass

The Lion and The Mouse

Aesop (620 - 564 BCE)

A generous lion spared a mouse life and some days later the mouse repaid his kindness by freeing the lion when he was trapped in a hunter's net

Segitiga Menindih Segi Empat dan Persegi

Soal geometri untuk mencari luas segitiga yang tidak menindih segi empat dan persegi. Baik digunakan untuk melatih intuisi matematika

Solusi Persamaan $n!=2^a+2^b$

Carilah semua triplet bilangan bulat positif $\text{(n, a, b)}$ dimana $a\le b$ yang memenuhi persamaan $n!=2^a+2^b$