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Miloslav Ciz 2025-05-25 18:16:38 +02:00
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number.md
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@ -248,9 +248,11 @@ Here is a table of some numbers and "number like objects" worthy of mention, mos
| one over square root of two | 0.707106... | 1/sqrt(2), sin(pi/4), cos(pi/4), 2^(-1/2)| |
| | 0.862240124493837... | 0b0.110111001011101111... | base 2 Champernowne constant |
| [one](one.md) | 1 |2^0, 0!, 0.999..., sqrt(1), I, 0b1, cos(0)| NOT a prime, unit, multiplicative identity |
| | 1.261859... | ln(4)/ln(3) | Hausdorff dimension of Koch snowflake fractal |
| [square root](sqrt.md) of two | 1.414213... | sqrt(2), 2^(1/2), 0b1.0110101 | irrational, diagonal of unit square, important in geom. |
| ten over seven | 1.428571... | 10/7 | common approximation of sqrt(2) |
| supergolden ratio | 1.465571... | solve(x^3 - x^2 - 1 = 0) | similar to golden ratio, bit more difficult to compute |
| | 1.584962... | log(3)/log(2) | Hausdorff dimensions of Sierpinski triangle fractal |
|phi ([golden ratio](golden_ratio.md))| 1.618033... | (1 + sqrt(5)) / 2, solve(x^2 - x - 1 = 0)| irrational, visually pleasant ratio, divine proportion |
| square root of three | 1.732050... | sqrt(3), 3^(1/2), 0b1.1011101 | irrational |
| square root of pi | 1.772453... | sqrt(pi) | |
@ -263,6 +265,7 @@ Here is a table of some numbers and "number like objects" worthy of mention, mos
| twenty two over seven | 3.142857... | 22/7 | common approximation of pi |
| square root of ten | 3.162277... | sqrt(10) | approximation of pi |
| [four](four.md) | 4 | 2^2, 0b000100, IV, 0b100 |first composite number, min. needed to color planar graph|
| Feigenbaum constant | 4.669201... | | related to [chaotic](chaos.md) systems |
| [five](five.md) | 5 | 3^2 - 2^2, V, 0b101, fib(5) | (twin, triplet, super) prime, num. of plat. solids, Fib.|
| [six](six.md) (half dozen) | 6 | 3!, 1 * 2 * 3, 1 + 2 + 3, VI, 0b110 | highly composite number, 1st perfect number, semiprime |
| [tau](tau.md) | 6.283185... | 2 * pi, 360 degrees | radians in full circle, defined mostly for convenience |
@ -372,6 +375,7 @@ Here is a table of some numbers and "number like objects" worthy of mention, mos
| one thousand six hundred eighty | 1680 | 0x690, MDCLXXX | highly composite, often used as horizontal resolution |
| one thousand seven hundred ... | 1729 | 0x6c1, MDCCXXIX | Ramanujan number, taxican number, part of math lore |
| one thousand eight hundred ... | 1807 | 0x70f, MDCCCVII | 5th Sylvester's number |
| one thousand eight hundred ... | 1836.152673... | |proton to electron mass ratio, unitless, uncertainty err.|
| two thousand | 2000 | 0x7d0, MM | |
| two thousand forty eight | 2048 | 2^11, 0x800, MMXLVIII | number of values storable with 11 bits |
|two thousand one hundred eighty seven| 2187 | 3^7, 0x88b, MMCLXXXVII | |