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Algebra text

 length SI unit: Meter (m) 1 kilometer = 1000. meters = 0.62137 mile 1 meter = 100. centimeters 1 centimeter = 10. millimeters 1 nanometer = 1.00 x 10-9 meters 1 picometer = 1.00 x 10-12 meters 1 inch = 2.54 centimeters (exact) 1 ngstrom = 1.00 x 10-10 meters Volume SI unit: Cubic meter (m3) 1 liter (L) = 1.00 x 10-3m3 = 1000. cm3 = 1.056710 quarts 1 gallon = 4.00 quarts Pressure Si unit: Pascal (Pa) 1 pascal = 1 N/m2 = 1 kg/m * s2 1 atmosphere = 101.325 kilopascals = 760. mmHg = 760 torr = 14.70 lb/in2 = 1.01325 bar 1 bar = 105 Pa (exact) Energy SI unit: Joule (J) 1 joule = 1 kg * m2/s2 = 0.23901 calorie = 1C x 1V 1 calorie = 4.184 joules Mass SI unit: Kilogram (kg) 1 kilogram = 1000. grams 1 gram = 1000. milligrams 1 pound = 453.59237 grams = 16 ounces 1 ton = 2000. pounds Temperature Si unit: Kelvin (K) K = 273.15 C K = C + 273.15 C ? C = (5 C/9 F)(F - 32 F) ? F = (9 F/5 C)C + 32 F

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calculus symbols
Calculus & analysis math symbols table

Symbol Symbol Name Meaning / definition Example limit limit value of a function ε epsilon represents a very small number, near zero ε → 0 e e constant / Euler's number e = 2.718281828... e = lim (1+1/x)x , x→∞ y ' derivative derivative - Leibniz's notation (3x3)' = 9x2 y '' second derivative derivative of derivative (3x3)'' = 18x y(n) nth derivative n times derivation (3x3)(3) = 18 derivative derivative - Lagrange's notation d(3x3)/dx = 9x2 second derivative derivative of derivative d2(3x3)/dx2 = 18x nth derivative n times derivation time derivative derivative by time - Newton notation time second derivative derivative of derivative partial derivative ∂(x2+y2)/∂x = 2x ∫ integral opposite to derivation ∬ double integral integration of function of 2 variables ∭ triple integral integration of function of 3 variables ∮ closed contour / line integral ∯ closed surface integral ∰ closed volume integral [a,b] closed interval [a,b] = {x | a ≤ x ≤ b} (a,b) open interval (a,b) = {x | a < x < b} i imaginary unit i ≡ √-1 z = 3 + 2i z* complex conjugate z = a+bi → z*=a-bi z* = 3 + 2i z complex conjugate z = a+bi → z = a-bi z = 3 + 2i ∇ nabla / del gradient / divergence operator ∇f (x,y,z) vector unit vector x * y convolution y(t) = x(t) * h(t) Laplace transform F(s) = {f (t)} Fourier transform X(ω) = {f (t)} δ delta function ∞ lemniscate infinity symbol