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Algebra text

Another calc

Math terms and symbols

Greek alphabet, number prefixes, etc

Calculus definitions

A good calc like HP

Conversion Factors
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