Functions, our latest simulations http://www.edumedia-sciences.com/ eduMedia, RSS feeds en quentin.thiaucourt@edumedia-sciences.com http://www.edumedia-sciences.com/media/logo.jpg Logo http://www.edumedia-sciences.com/ <![CDATA[Phasors]]>

A sinusoidal magnitude is characterized  by an equation of the type :

V(t)=A sin(2πft+φ)

  • A: Amplitude of the signal. V(t) will have the same units as A.
  • 2πft+φ: the argument or phase of the function expressed in radians
  • f: frequency of the signal expressed in Hertz. One sometimes manipulates the pulsation, ω=2πf, the units of which are rad.s-1.
  • Φ is the phase at the origin (time zero) expressed in radians

The Fresnel Representation, with vectors that are also called "phasors", is a means of representing a sinusoidal function  by just taking the amplitude and the phase of origin into account. This representation is very useful in optics or in electronics, for summing, taking the derivatives of and integrating sinusoidal functions of the same frequency, but of different amplitudes and phases.

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<![CDATA[Sine wave - phasor]]>

A sinusoidal magnitude is characterized  by an equation of the type :

V(t)=A sin(2πft+φ)

  • A: Amplitude of the signal. V(t) will have the same units as A.
  • 2πft+φ: the argument or phase of the function expressed in radians
  • f: frequency of the signal expressed in Hertz. One sometimes manipulates the pulsation, ω=2πf, the units of which are rad.s-1.
  • Φ is the phase at the origin (time zero) expressed in radians

The Fresnel Representation, with vectors that are also called "phasors", is a means of representing a sinusoidal function  by just taking the amplitude and the phase of origin into account. This representation is very useful in optics or in electronics, for summing, taking the derivatives of and integrating sinusoidal functions of the same frequency, but of different amplitudes and phases.

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<![CDATA[Combinational logic]]>

Logic gates are at the basis of digital circuits. They carry out the basic functions of Boolean Algebra using digits in binary code.

This original theory, developed by George Boole in the 1830's, is at the heart of all current computer systems, which can function only with digital inputs, in binary code.

Combinational  Logic  only deals with logical functions in which the output depends solely  on the inputs.  This differs from Sequential Logic, in which the outputs also depend on inputs, but also on previous outputs ("memory" effect).

This animation only permits simulations using Combinational Logic functions.

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<![CDATA[Equation of a line]]>

Construction of a line joining two points. You can move this line around and display its equation.

The general equation of a straight line is given in the form y = mx+b where m stands for the gradient (slope).

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<![CDATA[Parabola - Hyperbola]]>

A conic section can be defined as the intersection of a plane and a cone. The angles between the plane and the cone determines the kind of conic section: parabola or hyperbola.
Click and drag the plane to move it.

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<![CDATA[sin(x) ; cos(x)]]>

Graph of some trigonometric functions. The point A is a cursor that you can move either with the mouse or step by step with the keyboard's arrows.

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<![CDATA[ax²+bx+c]]>

Graph of some polynomial function. The point A is a cursor that you can move either with the mouse or step by step with the keyboard's arrows.

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<![CDATA[Exp(x) ; Log(x)]]>

Graph of some exponential and logarithmic functions. The point A is a cursor that you can move either with the mouse or step by step with the keyboard's arrows

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<![CDATA[f(-x) ; -f(x)]]>

Graph of f(x), f(-x) and -f(x). The point A is a cursor that you can move either with the mouse or step by step with the keyboard's arrows

 

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<![CDATA[Absolute value]]>

Absolute value influence. The point A is a cursor that you can move either with the mouse or step by step with the keyboard's arrows.

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