Perceptual Control Theory Model of Balancing an Inverted Pendulum. See  Kennaway's slides  on Robotics. as well as PCT example WIP notes. Compare with  IM-1831  from Z209 from Hartmut Bossel's System Zoo 1 p112-118

Perceptual Control Theory Model of Balancing an Inverted Pendulum. See Kennaway's slides on Robotics. as well as PCT example WIP notes. Compare with IM-1831 from Z209 from Hartmut Bossel's System Zoo 1 p112-118

Simulation der Umlaufbahn der Erde um die Sonne
Simulation der Umlaufbahn der Erde um die Sonne
This shows the motion of a simple harmonic oscillator, described in terms of the natural frequency of oscillation. An accurate solution requires a small time step and RK4 as the integration algorithm.
This shows the motion of a simple harmonic oscillator, described in terms of the natural frequency of oscillation. An accurate solution requires a small time step and RK4 as the integration algorithm.
 Dieses Modell beschreibt die Dynamik des Wasserlösens. Siehe dazu das Video "Harnflussmessung"  https://youtu.be/EgOaPAEmXo0
Dieses Modell beschreibt die Dynamik des Wasserlösens. Siehe dazu das Video "Harnflussmessung"
https://youtu.be/EgOaPAEmXo0
11 months ago
How Newton's inverse square law of gravity produces the elliptical orbits of the planets
How Newton's inverse square law of gravity produces the elliptical orbits of the planets
This shows the motion of a mass suspended from a spring, with damping. An accurate solution requires a small time step and RK4 as the integration algorithm. (simplified clone)
This shows the motion of a mass suspended from a spring, with damping. An accurate solution requires a small time step and RK4 as the integration algorithm. (simplified clone)
 
  Um corpo é
lançado obliquamente no vácuo com velocidade inicial de 100 m/s, numa direção que forma com
a horizontal um ângulo x, tal que sen(x) = 0,8 e cos(x) = 0,6. Adotando g = 10m/s², determine:   a) Os módulos das componentes horizontal e vertical da
velocidade no instante de lançamento;  b)

Um corpo é lançado obliquamente no vácuo com velocidade inicial de 100 m/s, numa direção que forma com a horizontal um ângulo x, tal que sen(x) = 0,8 e cos(x) = 0,6. Adotando g = 10m/s², determine:

a) Os módulos das componentes horizontal e vertical da velocidade no instante de lançamento;

b) O instante em que o corpo atinge o ponto mais alto da trajetória;

c) A altura máxima atingida pelo corpo;

d) O alcance do lançamento.

Fonte: (RAMALHO, NICOLAU E TOLEDO;Fundamentos da Física, Volume 1, 8ª edição, pp. 12 – 169, 2003).

Clique aqui para ver uma descrição do que é Lançamento Oblíquo no vácuo.

THE BROKEN LINK BETWEEN SUPPLY AND DEMAND CREATES TURBULENT CHAOTIC DESTRUCTION  The existing global capitalistic growth paradigm is totally flawed  Growth in supply and productivity is a summation of variables as is demand ... when the link between them is broken by catastrophic failure in a compon
THE BROKEN LINK BETWEEN SUPPLY AND DEMAND CREATES TURBULENT CHAOTIC DESTRUCTION

The existing global capitalistic growth paradigm is totally flawed

Growth in supply and productivity is a summation of variables as is demand ... when the link between them is broken by catastrophic failure in a component the creation of unpredictable chaotic turbulence puts the controls ito a situation that will never return the system to its initial conditions as it is STIC system (Lorenz)

The chaotic turbulence is the result of the concept of infinite bigness this has been the destructive influence on all empires and now shown up by Feigenbaum numbers and Dunbar numbers for neural netwoirks

See Guy Lakeman Bubble Theory for more details on keeping systems within finite working containers (villages communities)

In diesem Modell wird das Verhalten, also die Positionsänderungen von drei Körpern innerhalb eines Bezugssystems aufgrund der Gravitationskraft simmuliert. Je nach Änderung der Parameter (Masse, Ausgangsposition, Radius der Massen(-punkte) ​variiert auch die Chaotizität des System. Zusätzlich wir al
In diesem Modell wird das Verhalten, also die Positionsänderungen von drei Körpern innerhalb eines Bezugssystems aufgrund der Gravitationskraft simmuliert. Je nach Änderung der Parameter (Masse, Ausgangsposition, Radius der Massen(-punkte) ​variiert auch die Chaotizität des System.
Zusätzlich wir als Gedankenexperiment die Reibungskraft die durch ein hypothetisches umgebenes Medium entsteht eingeführt und die Auswirkung auf die Chaotizität gezeigt.
  ​S-Curve + Delay for Bell Curve Showing Erlang Distribution      Generation of Bell Curve from Initial Market through Delay in Pickup of Customers     This provides the beginning of an Erlang distribution model      The  Erlang distribution  is a two parameter family of continuous  probability dis
​S-Curve + Delay for Bell Curve Showing Erlang Distribution

Generation of Bell Curve from Initial Market through Delay in Pickup of Customers

This provides the beginning of an Erlang distribution model

The Erlang distribution is a two parameter family of continuous probability distributions with support . The two parameters are:

  • a positive integer 'shape' 
  • a positive real 'rate' ; sometimes the scale , the inverse of the rate is used.

Depending on the pressure, water flows out of a vessel.
Depending on the pressure, water flows out of a vessel.
 Basic model for standing waves on a string with varying mass density (e.g. beads)         f1=8.1 Hz;   f2= 21.05 Hz
Basic model for standing waves on a string with varying mass density (e.g. beads)

f1=8.1 Hz; f2=21.05 Hz
This shows the motion of a driven damped harmonic oscillator, described in terms of the undamped natural frequency, and a frequency gamma that reflects the degree of damping, parameterized as a damping ratio gamma/natural frequency.     The oscillator is driven with a force that is a sine function o
This shows the motion of a driven damped harmonic oscillator, described in terms of the undamped natural frequency, and a frequency gamma that reflects the degree of damping, parameterized as a damping ratio gamma/natural frequency. 

The oscillator is driven with a force that is a sine function of time, with a frequency that can be varied, expressed as a forcing ratio driving frequency/natural frequency.

An accurate solution requires a small time step and RK4 as the integration algorithm.
Thanks to  https://insightmaker.com/insight/1830/Rossler-Chaotic-Attractor for this example of chaos, and the  transition  to chaos. "After running the default settings Bossel describes A=0.2, B=0.2, Initial Values X=0 Y=2 and Z=0 and varying C=2,3,4,5 shows period doubling and transition to chaotic
Thanks to
https://insightmaker.com/insight/1830/Rossler-Chaotic-Attractor
for this example of chaos, and the transition to chaos. "After running the default settings Bossel describes A=0.2, B=0.2, Initial Values X=0 Y=2 and Z=0 and varying C=2,3,4,5 shows period doubling and transition to chaotic behavior."

We're looking into environmental applications in our course, and how dramatically dynamics can change, based on a small change in parameters. Climate change "suffers" this chaotic behavior, we fear, and we're going to be "taken by surprise" when the dynamics changes on us suddenly....

Andy Long
   ​The probability density function (PDF) of the normal distribution or Bell Curve of Normal or Gaussian Distribution is the mean or expectation of the distribution (and also its median and mode).        The parameter is its standard deviation with its variance then, A random variable with a Gaussi
​The probability density function (PDF) of the normal distribution or Bell Curve of Normal or Gaussian Distribution is the mean or expectation of the distribution (and also its median and mode). 

The parameter is its standard deviation with its variance then, A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate.
However, those who enjoy upskirts are called deviants and have a variable distribution :) 

A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate.

If mu = 0 and sigma = 1

If the Higher Education Numbers Are Increased then the group decision making ability of society would be raised above that of a middle teenager as it is now
BUT 
Governments can control children by using bad parenting techniques, pandering to the pleasure principle, so they will make higher education more and more difficult as they are doing


85% of the population has a qualification level equal or below a 12th grader, 17 year old ... the chance of finding someone with any sense is low (~1 in 6) and the outcome of them being chosen by those who are uneducated in the policies they are to decide is even more rare !!!

Experience means little if you don't have enough brain to analyse it

Democracy is only as good as the ability of the voters to FULLY understand the implications of the policies on which they vote., both context and the various perspectives.   National voting of unqualified voters on specific policy issues is the sign of corrupt manipulation.

Democracy:  Where a group allows the decision ability of a teenager to decide on a choice of mis-representatives who are unqualified to make judgement on social policies that affect the lives of millions.
The kind of children who would vote for King Kong who can hold a girl in one hand and swat fighter jets out of teh sky off the tallest building, doesn't have a brain cell or thought to call his own but has a nice smile and offers little girls sweets.


updated 16/3/2020 from 4 years 3 months ago