Numbers between 0 and 1

... In Arithmetic, 1+1 = 2, in Computer Science, 1+1 = 0, but in Love, 1+1 = 1!
00          None/Never         Number 0         Number 0 in Math. 
 
1/256 - 1/16 - 1/8 - 1/4 - 1/2

[Science]  Sedimentary units of rock:

The size of clay unit is less than 1/256 mm.

The size of silt unit is from 1/256 to 1/16 mm.

The size of very fine sand is from 1/16 to 1/8 mm.

The size of fine sand is from 1/8 to ¼ mm.

The size of medium sand is from ¼ to ½ mm.

The size of coarse sand is from ½ to 1 mm.

The size of very coarse sand is from 1 to 2 mm.

The size of granule is from 2 to 4 mm.

The size of pebble is from 4 to 64 mm.

The size of cobble is from 64 to 256 mm.

The size of boulder is greater than 256 mm.

 

0.01

[Science]  The thermodynamic temperature of the triple point of water, where water forms an interface of 3 phases: solid, liquid and vapor: 0.01 oC (Celsius or centigrade) = 273.16 K (Kelvin) = 32.018 oF (Fahrenheit).

 

0.05

[Measure]  Commercially: 1 fluid ounce = 576 drops, 1 drop = 0.051 ml and a pharmacist’s drop is rounded to exactly 0.05 ml. Then 1 fluid ounce = 591.5 pharmacist’s drops.

U.S. customary units for kitchen measurements: ½ pints = 1 cup = 8 fluid ounces = 16 tablespoons = 48 teaspoons = 2880 drops = 236.588 ml.

 

0.11

[Math.]  Liouville’s number (founded in 1844) is the first provably transcendental number 0.1100010000000…, in which digits 1 appear only at the (1!)th, (2!)th,…,(n!)th decimal positions.

 

0.123

[Math.]  The Champernowne number is 0.12345678910111213141516… is proved by Mahler (1961) to be transcendental.

 

[Math.]  137,174,210/1,111,111,111 = 0.(123 456 789 0).

 

0.235

[Math.]  The number is 0.23571113171923… is proved by Copeland and Erdös (1945) to be transcendental.

 

0.25 or 1/4

[Measure]  A quarter of a unit.

 

[Science]  Metamorphic or pyroclastic units of rock

The size of fine ash unit is less than from ¼ mm.

The size of coarse ash unit is from ¼ to 4 mm.

The size of lapilli unit is from 4 to 32 mm.

The size of block unit is greater than 32 mm.

 

.30 & 0.33

[Education]  When computing a student’s GPA (general point average) in the popular 4.0-scale GPA system of most schools, a sign +/– may add/subtract .30 or 0.33 to the basic point, depending on schools.

 

0.333… or 1/3

[Measure]  The difference of one full shoe size is 8.47 mm = 1/3 inch.

 

0.45

[Movie]  Name of TV show/series or movie: “.45”.

 

0.453

[Measure]  1 lb (pound) = 0.45359 kg (kilograms).

U.S. customary units for weight measures: 35.274 oz (ounces) = 2.20462 lb (pounds) = 1 kg (kilogram & 16 ounces = 1 lb (pound).

 

0.5 (separate page)

 

0.608

[Math.]  The probability that 2 integers are prime to each other is 6/p2 = 0.6079271…

 

0.621

[Measure]  1 km (kilometer) = 0.621371 miles.

(U.S. customary and metric units for linear measures).

 

0.661

[Math.]  The average distance between any two points in a unit cube is: 0.6617 = (4+17×21/2–6×31/2+21×log(1+21/2)+42×log(2+31/2)–7×p)/105.

 

0.666… or 2/3

[Measure]  In some votes of critical issues, a 2/3 majority is preferred over a simple majority (over half or 50:50)\
 
0.69, 0.70 & 0.72
[Math.]  "Rule of 69", "Rule of 70" and "Rule of 72" are used in accounting to compute the time interval for a principal to double for a compound interest rate r. Since t = ln2/ln(1+r) = 0.693147/r, those rules state that value of t can be approximated by 0.69/r for low interest rates or more calculating-conveniently 0.70/r or 0.72/r for higher typical rates (such 5% to 10%).

 

0.5, 0.7, 0.9 & 1.1                 

[Tech.]  The minimum size (diameter, in mm, millimeters) of lead for mechanical pencils. Other popular sizes: 0.7, 0.9 and 1.1 mm.

 

0.74

[Math.]  The highest average density of sphere-stacking in Kepler’s conjecture is p/(18)1/2 = 0.74048048… by either cubic close packing (face centered cubic lattice) and hexagonal close packing.

 

0.9

[Calendar]  Leap seconds are added in every 450 to 500 days to guarantee that the Coordinated Universal Time (UTC), which is based on a system of atomic clock, does not differ from the Earth’s rotational time by more than 0.9 seconds. The Earth’s rotation is slower than the UTC approximately 1.5 to 2 milliseconds per day due to the frictional action of the tides.

 

[Money]  The price per gallon of gasoline at any U.S. gas station is usually ended with 9/10 of a cent.

 

0.914

[Measure]  1 yard = 0.914411 m (meters). (U.S. customary and metric units for linear measures).

 

0.946

[Measure]  1 fluid quart = 0.946353 l (liters).

U.S. customary units for liquid measures: 1 gallon = 4 quarts = 8 pints = 32 gills = 128 fluid ounces = 1024 fluid drams = 61440 minims = 3.785411784 liters = 231 inch3.  
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