fi4002 on lecture-notes

agent-based model and boid

Fri, 15 Sep 2023 09:14:00 +0800

links blackboard links Link to heading alignment clustering index for boid butiran.js, a simple JS-based simulator for agent-based model blackboard Link to heading

matrix intro

Fri, 01 Sep 2023 05:15:00 +0700

Matrix is set of numbers arranged in rows and columns as to form a rectangular array, where the numbers are called elements or entries of the matrix (Britannica, 2023). It can also considered as a compact but general way to represent any linear transforms, such as rotations, scallings, projections that map points / lines / planes to point / lines / planes (user65203, 2018). The concept of matrix overlaps in the fields of mathematics and computer science, where elements represent data or mathematical equations, which are used as a way of providing quick approximations of more complicated calculations since they can offer accurate and quick calculations used to better control an operation regarding as a mechanical device or a computer (Monitor, 2023).

linear regression least square

Wed, 30 Aug 2023 15:02:00 +0700

linear interpolation

Tue, 29 Aug 2023 20:07:00 +0700

Fungsi linier yang dibuat untuk menghubungkan dua buah titik data terdekat akan menyediakan informasi sehingga titik-titik lain di antara kedua titik data tersebut dapat diperoleh menggunakan fungsi tersebut. Hal ini dengan asumsi bahwa hubungan antara variabel bebas dan terikatnya antara kedua titik data bersifat linier. range $0$ and $1$ Link to heading Ilustrasi paling sederhana untuk interpolasi adalah mencari fungsi $$\tag{1} f(x) = c_0 + c_1 x, \ \ \ \ 0 \le x \le 1.

temperatur conversion formula

Thu, 24 Aug 2023 18:52:00 +0700

There are three common temperature scales, that each scale has its uses and conversion formulas between them are available (Helmenstine, 2019). Here illustrations how to obtain the formulas are given. the ratios Link to heading Notice three different temperature scales in following figure. Figure 1. Temperature scales and some references points (LivePhysics, 2023). The ratios holds for any temperature scales are as follow

polynomial integration

Thu, 24 Aug 2023 17:39:00 +0700

Polynomial is sum of terms, which is built with constant, variables, and exponent (Pierce, 2021), where the exponent is greater and equal to zero (Gruber & user103828, 2015). Then integral of any polynomial is simply sum of the integrals of its tems, whose formula of its indefinite integral is well known (Nave, 2017) and its definite integral can be calculated with the help of the formula, e.g. using Python (Mehta, 2021).

graphical programming

Wed, 23 Aug 2023 05:31:00 +0700

The term graphical programming (id: pemrograman grafik) can refer to graphical programming language, where each subprogram and program structure are represented by icons (Bolton, 2004). This programming language provides a different method of coding, instead of high level statements in procedural and object-oriented languages, it is coded by selecting objects, connecting them, and adding functionality (Christiano, 2015). This type of language can be designed to support only specific purpose, such as for Insect Intelligent Building platform (Chen et al.

applications of kinematics

Tue, 22 Aug 2023 04:22:00 +0700

As a mathematical branch of physics, kinematics uses equations to describe motion of objects, specifically objects’ trajectories, without referring the forces that cause it (Beck, 2020). One way to study it is by performing various simple experiments (Carolina, 2010). Estimating motion of vehicles at intersections is one of kinematics application (Ahn & Kim, 2008). Following are examples of kinematis, and actually also with the help of dynamics, written in JS.

some graphs from butiran

Mon, 21 Aug 2023 20:01:00 +0700

Some test of butiran (Viridi, 2023). circular motion Link to heading parabolic motion Link to heading harmonic motion Link to heading transient motion Link to heading lissajous motion Link to heading motion of two masses coupled through a spring Link to heading motion of two colliding spheres in 2-d Link to heading motion of two colliding spheres bound by gravitational force Link to heading

code secant quadratic func

Thu, 27 Jul 2023 05:15:00 +0700

Metode secant, some method (Haftka & Gustafson, 2009) Advantage and disadvantage of the method (Mohan, 2020) Secant method does not require derivate function (Testbook, 2023) Code https://onecompiler.com/python/3zfnq9cb7

rmse function matrix

Wed, 26 Jul 2023 11:35:00 +0700

Kesalahan kuadrat rata-rata diakarkan, yang dalam bahasa Inggrisnya root mean square error atau RMSE dapat direpresentasikan dalam bentuk fungsi dan matriks. Di sini hanya fungsi linier yang diilustrasikan. data Link to heading Terdapat pasangan nilai $(x_i, y_i)$ dengan $i = 1, 2, \dots, N$, di mana $N$ adalah jumlah data. Tabel 1. Contoh data dengan $N = 8$. $i$ 1 2 3 4 5 6 7 8 $x_i$ 2.0 3.0 4.

root finding flowchart

Thu, 26 Jan 2023 13:19:00 +0700

Secara umum rumusan pencarian akar secara iteratif melibatkan setidaknya dua nilai tebakan sebelumnya dan fungsinya atau satu tebakan sebelumnya dan fungsi serta turunannya. Generalisasi ini mencakup metode Newton-Raphson, secant, dan false position. flowchart Link to heading Untuk mencari akar suatu fungsi $f(x)$ dapat dirumuskan terdapatnya suatu fungsi $g(f(x), f’(x), x)$ yang akan memberikan nilai tebakan berikutnya $x_n$, yang semakin mendekati nilai akar yang dicari dengan bergerak dari tebakan awal, misalnya $x_1$ (dan $x_2$), dengan menggunakan informasi $f(x)$ dan $f’(s)$.