Calculator Help

Control Functions:

Button "Help": Switch to Help-Window.

Button "Unit": Switch to Unit-Window.

Button "DEL" : Deletes last Character.

Button "C" : Deletes Input and Output.

Button "=" : Displays Result.

Scrollen : Input\Output right\left.


Contens Calculator:

Calcultator Functions

Unit Functions

Physics Constants

Calculator Help

Calculator Functions

Table of Contents Calculator Functions:

Calculator Functions

Unit Functions

Unit Functions:

Temperatur Temperature

Units for Conversion:

--Fahrenheit , Celsius, Kelvin, Rankine--

Volumen Volume

Units for Conversion:

--Barrel, Foot, Inch, Cubic-Millimeter, Cubic-Centimeter, Cubic-Meter, Liter, Milliliter, Centiliter, Deciliter, Hectoliter, Pint(UK), Pint(US)--

Fläche Surface

Units for Conversion:

--Quadnanometer, Quadmicrometer, Quadmillimeter, Quadcentimeter, Quaddecimeter, Quadtmeter, Quaddekamete, Quadhektometer Quadkilometer, Aresurface, Hectaresurface, Inchsurface, Feetsurface, Yardsurface, Milesurface, Angstormsurface--

Länge Length

Units for Conversion:

--Nanometer, Micrometer, Millimeter, Centimeter, Decimeter, Meter, Kilometer, Picometer, Fentometer, Attometer, Zeptometer, Yoctometer, Inch, Feet, Yard, Mile--

Zeit Time

Units for Conversion:

--Millisecond, Microsecond, Nanosecond, Second, Minute, Hour, Day, Week, Month(31), Month(30), Month(29), Month(28), Year--

Gewicht Weight

Units for Conversion:

--Microgram, Milligram, Gram, Kilogram, Tonne(US), Tonne(UK), Ounce, Pound, Pound(Metric), Stone, Carat, Grain--

Geschwindigkeit Velocity

Units for Conversion:

--Meters per Second, Kilometer per Second, Millimeter per Second, Micrometer per Second, Nanometer per Second, Meile per Second, Yard per Second Feet per Second, Inch per Second, Gravity, Node per Second--

Energie Energy

Units for Conversion:

--Watt, Milliwatt, Kilowatt, Megawatt, Joule per Second, Kilojoule per Second, Horsepower, Calorie per Second, KiloCalorie per Hour, Foot-Pound per Second Foot-Pound per Hour, Newtonmeter per Hour, BTU per Second, BTU per Minute, BTU per Hour--

Leistung Power

Units for Conversion:

--Joule, Kilojoule, Megajoule, Millijoule, Kilowatt per Hour, Kilowatt per Second, Watt per Hour, Watt per Second, Newtonmeter, Hoursepower per HourCalorie Kilocalorie(therm.), Calorie(therm.), Hartree Energy, British Thermal Unit, Electron Volts--

Energie Button:

Switch to the Physics Window.

Unit Functions

Physics Constants

Table of Contents Physics Constants:

Button "C": Speed of Light

Button "G": Gravitational Constant

Button "h": Planck's Effect Quantum

Button "!h": Reduced Effect Quantum

Button "lp": Planck's Length

Button "mp": Planck's Mass

Button "tp": Planck's Time

Button "qp": Planck's Charge

Button "Tp": Planck's Temperature

Button "mu": Atomic Mass

Button "Na": Avogardo-Number

Button "k": Boltzmann-Number

Button "C1": First Radiation Constant

Button "n0": Lochschmidt-Number

Button "R": Universal Gas Constant

Button "Vm": Molar Volume

Button "C2": Second Radiation Constant

Button "b": Wiensche Displacement Constant

Button "Mu": Molar Mass

Button "atm": Atmospheric Pressure

Button "a0": Borscher Radius

Button "re": Electrons Radius

Button "me": Electrons Mass

Button "GF": Ferminumber

Button "Eh": Hartree-Energy

Button "mp": Protons Mass

Button "md": Deuteros-Mass

Button "mn": Neutrons Mass

Button "R": Rydberg-Constant

Button "F": Faraday-Constant

Button "μ0": Magnetic Field Constant

Button "ε0": Electric Field Constant

Button "Z0": Characteristic Impedance Vacuum

Button "k": Coulomb's Constant

Button "e": Elementary Charge

Button "μB": Bohr Magneton

Button "G0": Conductivity Quantum

Button "!G0": Inverted Conductivity Quantum

Button "μN": Nuclear Magneton

Button "Rk": Von Klitzing Constant

Physics Constants

Basic Arithmetic

--Addition: 1 + 2 + 3 + 4 = 10

--Subtraction: 10 - 1 - 2 - 3 = 4

--Multiplication: 1 * 2 * 3 * 4 = 24

--Division: 100/2 + 10/2 = 55

--Decimal: 1.2 * 2.8 - 3.0 = 0.36

--Fraction: 1/2 + 1/4 + 2/8 = 1

--Bracket Expression: (1 + 9 - 2)/(5 - 3) = 4

--Modulo: 5 mod 2 = 1

Basic Arithmetic

Powers and Roots

-- Positiv Integer: 2^4 = 16

-- Positiv Fraction: 4^(1/2) = 2

-- Negativ Integer: 2^(-4) = 0.0625

-- Negativ Fraction: 4^(-1/2) = 0.5

-- √ 16: 16^(1/2) = 4

-- ³√ 27: 27^(1/3) = 3

-- ³√ 27²: 27^(2/3) = 9

Powers and Roots

Trigonometry

Calculation in Radians:

-- Sinus: sin(pi) = 0

-- Cosinus: cos(pi) = -1

-- Tangens: tan(pi/4) = 1

Calculation in Degrees:

-- Sinus: sin(90 deg) = 1

-- Cosinus: cos(180 deg) = -1

-- Tangens: tan(45 deg) = 1

Trigonometric Inverse Functions in Radians:

-- ArcusSinus: asin(1) = 1.57079...

-- ArcusCosinus: acos(0) = 1.57079...

-- ArcusTangens: atan(0) = 0

Trigonometry

Exponential and Logarithmic Function

Exponential Function:

-- Positiv Integer: e^1 = 2.7182...

-- Positiv Fraction: e^(1/2) = 1.6487...

-- Negativ Integer: e^-2 = 0.13533...

-- Negativ Fraction: e^(-1/2) = 0.606...

Ten Logarithm:

--Button "log": log10(100) = 2

Natural Logerithm:

--Button "ln": log(e^-1) = -1

Exponential and Logarithmic Function

Hyperbolic Functions

Hyperbolic Functions:

-- Sinushyperb.: sinh(1) = 1.17520...

-- Cosinushyperb.: cosh(2)=3.76219...

-- Tangenshyperb.: tanh(0) = 0

Hyperb. Invers Functions:

--ArcusSinHyperb.: asinh(4) = 2.0947...

--ArcusCosHyperb.: acosh(1) = 0

Hyperbolic Functions

Matrices and Vectors

Calculation of a 3x3 Matrix:

[[1,2,3], [4,5,6], [7,8,9]] - [[1,2,3], [4,5,6], [7,8,9]] = [[0,0,0],[0,0,0],[0,0,0]]

Inverse Matrix

1/([[-1,5,-1], [5,5,0], [10,0,-4]]) = [[-0.117,0.1176,0.0294],[0.1176,0.08235,-0.02941],[-0.294,0.2941,-0.1764]]

Multiply of a Matrix

[[1,2,3], [4,5,6], [7,8,9]]^3 = [[468576,684,[1062,1305, 1548],[1656,2034,2412]]

Calculation of Vectors:

[1,2,4]+[4,0,2]=[5,-2,6]

Scalar Produkct:

[1,2,4]*[4,0,2]=10

Cross Product:

[1,2,4]x[4,0,2]=[4,14,-8]

Matrices and Vectors

Determinants Calculation

Calculations of a Determinant:

^[Determinant]^= Result

Calculation of 2x2 Determinant:

^[-1,2;3,1]^ = -7

Calculation of 4x4 Determinant:

^[1,4,5,-1-;-2,3,1,0;2,1,1,1,0;3,-1,2,1]^ = -40

Determinants Calculation

Complex Numbers

Card Form:

-- Addition: (1-2*i) + (1+2*i) = 2

-- Subtraction: 1-2*i)-(1+2*i) = -4i

-- Multiplication: (1-2*i)*(1+2*i) = 5

-- Division: (1-2*i)/(1+2*i) = -0.6-0.8*i

-- Root: sqrt(1-2*i) = 1.272 - 0.78615*i

-- Log.: log10(1-2*i) = 0.3494 - 0.48082*i

-- Power: (1-2*i)^3 = -11 + 2*i

-- Sinus: sin(1-2*i)= 3.16-1.959*i

Polar Form:

--Multip.: e^(1-2*i)*e^(1+2*i) = 7.389

--Eulerform: e^(2*pi*i) = 1

Complex Numbers

Integral Calculus

Indefinite Integral:

Button "Sdx": integrate(sin(x)*cos(x))=-(1/2)*cos(x)^2

Button "Sdx": integrate(cos(x)*e^(x-1))=(-sin(x)+cos(x)+sin(x)*x)*e

Complex Integral:

Button "Sdx": integrate(e^(4*i*x))= (1/4)*e^(4*i*x)/i)

Definite Integral:

Upper Limits pi and lower Limits 0:

Button "Sdx": integrate(sin(x);pi;0)=2

Upper Limits 2 and lower Limits 0:

Button "Sdx:" integrate(x^2;2;0)=2.6666

Integral Calculus

Differential Calculus

Reele's Differentiation:

Button "d/dx": diff(e^(x-1)^2)=2*(x-1)*e^(x-1)^2)

Button "d/dx": diff(log(x^2+4*x-2*x+2)) = (2+2*x)/(x^2+2*x+2)

Button "d/dx": diff(x^x)=(log(x)+1)*x^x

Button "d/dx": diff(sin(x)*cos(x)*log(x))=-log(x)*sin(x)^2+cos(x)*sin(x)*x^-1+cos(x)^2*(log(x))

Complex Differentiation:

Button "d/dx": diff(sin(2*i*x)*tan(2*x*i)=2*i*sec(2*i*x)^2*(sin(i*x)+cos(i*x)*i*tan(2*i*x))

Differential Calculus

Resolution of Equations

Calculations of an Equation:

solve(G(x) = 0)

Button "solve": solve(x-4) = [4]

Button "solve": solve(x^2+4*x+4) = [-2]

Button "solve": solve(2*x^5-3*x^4-6*x^3+4*x^2-2*x+2) = [-0.0318 + 0.599i, -0.0318 - 0.599i, 0.7166, -1.5883, 2.4351]

Button "solve": solve(log(x)*sin(x)) = [-6.283, -9.4248, -3.1416, 0, 1, 3141, 15.708, 47.1239]

Resolution of Equations

Function Graphs

Function with a variable whose derivatives, zeros and integral are displayed as graphics.

Function: f(x); Viewport: xmin bis xmax; Resolution: xstep; plot(f(x);xmin;xmax;xstep)

Button "plot": f(x)=sin(x); xmin=-10; xmax=10; xstep=0.1; plot(sin(x)) Button "=" Graphic Window Opens

Button "plot": f(x)=cos(x); xmin=0; xmax=10; xstep=0.1; plot(cos(X);0) Button "=" Graphic Window Opens

Button "plot": f(x)=e^x; xmin=-2; xmax=2; xstep=0.1; plot(e^x;-2;2) Button "=" Graphic Window Opens

Button "plot": (x)=X^2; xmin=-1; xmax=1; xstep=0.01; plot(x^2;-1;1;0.01) Button "=" Graphic Window Opens

Function Graphs