Software Engineering Project Weekly Blogs Are Coming?

Hello

Go check out my medium here. I can’t write posts too much because I’m so tired. This semester the writing assignments are just too much for me. I have to keep notes here and there. It’s just driving me crazy. I can’t seem to keep everything like in place hahahaha.

Anyway, I’m kinda happy because in the quantum computing course I take, we actually study some abstract algebra which I really wish to learn as well. Here are some axioms summary I steal from a pdf.

The Ring Axioms

Definition.

A ring is a set $R$ with an operation called addition: for any $a, b \in R$, there is an element $a+b \in R$, and another operation called multiplication:

for any $a, b \in R$, there is an element $a b \in R$, satisfying the following axioms:

• Addition is associative, i.e. $(a+b)+c=a+(b+c)$ for all $a, b, c \in R$.
• There is an element of $R$, called the zero element and written 0 , which has the property that

\(a+0=0+a=a \text { for all } a \in R \text {. }\)

• Every element $a \in R$ has a negative, an element of $R$ written $-a$, which satisfies

\(a+(-a)=(-a)+a=0 .\)

• Addition is commutative, i.e. $a+b=b+a$ for all $a, b \in R$.
• Multiplication is associative, i.e. $(a b) c=a(b c)$ for all $a, b, c \in R$.
• Multiplication is distributive over addition, i.e. $a(b+c)=a b+a c$ and $(a+b) c=a c+b c$ for all $a, b, c \in R$.

Definition. A field is a ring $R$ which has the following extra properties:

• $R$ is commutative, i.e. $a b=b a, \forall a, b \in R$.
• $R$ has a nonzero identity element 1 .
• Every nonzero element of $R$ is invertible.

Definition. An integral domain is a ring $R$ which satisfies the following extra properties:

• $R$ is commutative.
• $R$ has a nonzero identity element 1 .
• $R$ has no zero divisors.

Binostrovaltes

The small one on the left is Fugi Binostrovalte, the right one is Gido Binostrovalte. The left one is a tiger, the right one is a leopard. The middle one is surely binatang.

I gained 3kgs while spending a week in Jakarta and Jogja. I’m so sad.

Anski and I at Jujutsu Kaisen 0 fan screening, Pejaten Village on 12th of March lol. There was this girl asked me to take a picture together. It was hilarious lmao. Talking about hilarious, this is my condition on the last one month in this semester: