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by Example Series Course Fact Sheet |
Area is a measure of the square units of an enclosed 2 dimensional space:
Area of a circle = where, r is the radius ( ½ the diameter) and
(3.1415926535897932384626433832795...)
e is the base of the natural system of logarithm, having a numerical value of approximately 2.718
Constants:
Avogadro's number = N = 6.02 x 1023 | mass of earth = 5.98 x 1024 kg |
speed of light = c = 3 x 108 m/s | earth equator radius =3960 mi = 6.38 x 106 m |
density (mass / volume) of water = 1 g / cm3 | acceleration of gravity =32 ft / s2 = 9.8 m / s2 |
distance to sun from earth = 93,000,000 miles | .. , e = 2.142.. |
Conversion Factors / Formulas:
Length | Volume | Energy | Mass |
1 in = 2.54 cm | 1 gallon = 3.7854 L | ! J = 1 kg m2 / s2 | 1 oz = 28.3495 g |
1 ft = 0.3048 m | 1 quart = 0.946353 L | 1 cal = 4.184 J | 1 lb = 0.453592 kg |
1 mi = 1.609344 km |
Abbreviations:
Inch = in | Millimeter = min | Second = sec = s | Ounce = oz |
Feet = ft | centimeter = cm | minute = min | pound = lb |
yard = yd | meter = m | hour = hr | gram = g |
mile = mi | kilometer = km | year = yr. | kilogram = kg |
quart = qt | millimeter = ml | Joule = J | atmosphere = atm |
gallon = gal | liter = L | calorie = cal | Coulomb = C |
radian = rad | miles per hour = mi . Hr = mph | meter per second = m / sec = m /s | degree = deg = 0 |
feet per second = ft / sec = ft / s | revolutions per minutes = rev / min = RPM |
Approximations / Others:
N0 = 1, e.g. 230 = 1 |
Math Models:
Linear Model
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Exponential Model
or k = ln(1+r) |
Logarithmic Model
y = ln x , e y =x, x > 0
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Absolute Value
| a | = a and | a | = -a Square Root Models |