Here is a word, phrase, or sentence fragment in indonesian language which is considered by Narita difficult to translate in English and I helped a little, and I will them.
if you still have difficulty, or not clear, you can see at the address listed at the top of each number.

1. coordinates : Numbers that determine the position of a point.
2. addition : The process of adding two numbers to obraint heir sum.
3. number of tribes and many of.
4. geometric series : A series in which the ratio of each term to the preceding term is a given constant.
5. Arithmetic progression : In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. For instance, the sequence 3, 5, 7, 9, 11, 13... is an arithmetic progression with common difference 2.

If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence is given by:

and in general

6.division : A basic arithmetical operation determining how many times one quantity is contained within another.

7. Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers. It is done by

• proving that the first statement in the infinite sequence of statements is true, and then
• proving that if any one statement in the infinite sequence of statements is true, then so is the next one

The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science. Indeed, the validity of mathematical induction is logically equivalent to the well-ordering principle.
8. Space diagonal : In a rectangular box or a magic cube, the four space diagonals are the lines that go from a corner of the box or cube, through the center of the box or cube, to the opposite corner. These lines are also called triagonals or volume diagonals.

For the cube to be considered magic, these four lines must sum correctly.

The word triagonal is derived from the fact that as you travel down the line, three coordinates change. The equivalent in a magic square is diagonal, because two coordinates change. In a tesseract it is quadragonal because 4 coordinates change, etc.

introdoction to english 1

assalamu 'alaikum everyone...
i hope you are fine same as me now.
let me introduce my name is Billy Arifa Tengger. i'm 18 years old. i live in blater, a small village in Purbalingga. now i want to tell you about my experience when i got my first english lesson in Yogyakarta State University. Mr Marsigit as the lecture for this lesson give us task to make a formal blog, with a formal photos there, but some students didn't follow his order. when we will study something there are 3 steps to develop our ability. First of all is motivation. the highest is praying to God. The next step is support (behaviour, attitude) ,and then skill. and the last step is knowledge communication. knowledge communication is about how to talk, to write, to discuss, to translate, to reflect, to comment and to understand.
i think thats all, thanks for your attention.