• √2 ≈ 1.414
According to Pythagoras theorem the diagonal length of a square with each side measuring one unit would be square root of two.
The assumption that square root of two could be expressed as a ratio of two integers deduces a contradiction.
○○○ expect ⪢⪢
Now if a is greater than 0 and b was greater than 1, then we can expect the graph to look something like this. If a is greater than 0 and b is greater than 0 but less than 1, then the graph will look something like this.
• ψ ≈ 137.5° ⪢⪢
Divides the angle of 360° in the proportions of the golden section. As angles smaller than 180° proved more handy in practice, the smaller of the resultant angles is usually called golden angle.
• Φ ≈ 1.618
Keplar observed that the relationship between a number in Fibonacci sequence and the previous number more and more closely approaches the irrational number Φ the longer the sequence is continued and Φ describes nothing other than the golden section.
◎◎◎ cardinal ⪢⪢
A _____ number says how many of something there are. It answers the question how many. They are no fractions or decimals as it is only used for counting.
￫ nominal, ordinal
◎◎◎ nominal ⪢⪢
A nominal number is a number used like a name, not as an actual value or position. 14 identifies the player. It doesn't mean how old he is or anything.
￫ cardinal, ordinal
○○○ look ⪢⪢
Now if a is less than 0 and b was greater than 1, then we can expect the graph to look something like this. And finally, if a is less than 0 and b is greater than 0 but less than 1, then the graph will look something like this.