• √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.
http://qindex.info/i.php?x=9592
○○○ 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.
http://qindex.info/i.php?x=10539
○○○ 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.
#bookmark
http://qindex.info/i.php?x=20598
○○○ about ⪢⪢
Notice how as x increases, the increase in y itself becomes greater and greater. This is one of the key things _____ exponential functions in that the graph increases at an increasing rate.
http://qindex.info/i.php?x=4050
○○○ Φ ≈ 1.618 ⪢⪢
Keplar observed that the relationship between a number in the Fibonacci sequence and the previous number more and more closely approaches the irrational number Φ, the longer the sequence is continued. #bookmark
http://qindex.info/i.php?x=9464
• Topology Riddles
• prime number theorem
• irrational number
○○○ perimeter ⪢⪢
○○○ rhombus ⪢⪢
◎◎◎ number ⪢⪢
○○○ number ⪢⪢
○○○ numeral ⪢⪢
○○○ logarithm ⪢⪢
○○○ logarithm ⪢⪢
○○○ logarithm ⪢⪢
○○○ tensor ⪢⪢
○○○ Point ⪢⪢
○○○ ｢｢2x⸤i⸥Δx Σi=1,n｣ Ƚn￫∞｣ ⪢⪢
○○○ Pythagorean Theorem ⪢⪢
○○○ nominal number ⪢⪢
◎◎◎ dimension ⪢⪢
○○○ Goldbach conjecture ⪢⪢
○○○ Isometric Transformations ⪢⪢
○○○ logarithm ⪢⪢
○○○ Golden Section ⪢⪢
○○○ logarithm ⪢⪢
○○○ composite number ⪢⪢
○○○ prime number ⪢⪢
○○○ complex number ⪢⪢
◎◎◎ complementary ⪢⪢
◎◎◎ complement ⪢⪢
• 05 Liber Abaci - Leonardo Fibonacci
