點是没有面積的
線無限長,線段才有長度
看一個數,要先看它前面的符號
eg: -2 不是 "-" 和"2",是 "-2"
Thursday, May 19, 2011
Wednesday, May 18, 2011
Tuesday, May 17, 2011
數學是甚麼? What is mathematics?
Copy from wiki
Mathematics is commonly described as the "Science of Pattern." Any sequence of numbers that may be modeled by a mathematical function is considered a pattern.
In Pattern theory, mathematicians attempt to describe the world in terms of patterns. The goal is to lay out the world in a more computationally friendly manner.
Patterns are common in many areas of mathematics. Recurring decimals are one example. These are repeating sequences of digits which repeat infinitely. For example, 1 divided by 81 will result in the answer 0.012345679... the numbers 0-9 (except 8) will repeat forever — 1/81 is a recurring decimal.
Fractals are mathematical patterns that are scale invariant. This means that the shape of the pattern does not depend on how closely you look at it. Self-similarity is found in fractals. Examples of natural fractals are coast lines and tree shapes, which repeat their shape regardless of what magnification you view at. While the outer appearance of self-similar patterns can be quite complex, the rules needed to describe or produce their formation can be extremely simple (e.g. Lindenmayer systems for the description of tree shapes).
Definition of Important Terms 重要名詞定義
要識做題目,先要識解題
數學elegant的地方在於,一切提及的事物都有精確的定義
咁首先定義係咩意思?
Positive: Greater than zero
Negative: Smaller than zero
Integer(整數)
Prime Number: 不包括1
咁首先定義係咩意思?
Definition: Another explanation that link with what we know
以下係一d睇落簡單但係一定要識的重要名詞:
Positive: Greater than zero
Negative: Smaller than zero
Integer(整數)
Prime Number: 不包括1
Rational Number:
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