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Spring-Mass-Damper model (based on IACS physics)
Spring-Mass-Damper Model
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This model keeps track of the formal development of Timescale calculus available at http://mds.marshall.edu/cgi/viewcontent.cgi?article=1036&context=etd&sei-redir=1&referer=http%3A%2F%2Fwww.google.com%2Furl%3Fsa%3Dt%26rct%3Dj%26q%3Dtime%2520scale%2520calculus%26source%3Dweb%26cd%3D8%26sqi%3D2%26ved%3D0CFgQFjAH%26url%3Dhttp%253A%252F%252Fmds.marshall.edu%252Fcgi%252Fviewcontent.cgi%253Farticle%253D1036%2526context%253Detd%26ei%3Dd5peUOTkOan2igLrqICoDQ%26usg%3DAFQjCNH3g65pFJ4LV38xiG7FIfRexA9uiA .

The idea is to use infinitesimals to extend Geometric and Grassmann Algebra to better flush out the details of the interpretation of an unbound vector as a "massless point at the point at infinity". Essentially, the Grassmann and Geomeric Algebra is being generalized to admit multiplication of vectors by infinitesimals, not just real numbers. Doing so allows one to define a concept of a point approaching infinity without having to use limits. This is a work in progress, and so some of the ideas in the above description will likely change as more is descovered as the research unfolds.
Time Scale Tensor Geometric Grassmann Calculus
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Spring-Mass model used in IACS physics class
Clone of Spring-Mass Model
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Simple Pendulum
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Clone of Conducción térmica 5x5
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Clone of Conducción térmica 5x5
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Clone of Rocket Model 2015 DiCarlo
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RC-curve van een condensator
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Clone of Wind Resistance Model
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​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.

Clone of S-Curve + Delay for Bell Curve by Guy Lakeman
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Clone of Wind Resistance Model
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In diesem Modell wird das Verhalten, also die Positionsänderungen von drei Körpern innerhalb eines Bezugssystems aufgrund der Gravitationskraft simuliert. Je nach Änderung der Parameter (Masse, Ausgangsposition, Radius der Massen(-punkte) ​variiert auch die Chaotizität des System.
Zusätzlich wird als Gedankenexperiment die Reibungskraft die durch ein hypothetisches umgebenes Medium entsteht eingeführt und die Auswirkung auf die Chaotizität gezeigt.
3-Körper-Problem mit Reibung
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Clone of Pendulum
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Clone of Pendulum
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A PID control loop for a simple linear system
Some stochasticity in the throttle and sensor ​
2nd Order PID Loop
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Problem of the sliding chain
Sliding Chain
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Clique aqui para ver uma descrição do que é o número PI e sua importância na ciências exatas.

Valor de PI
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Electron in a Coulomb potential (H atom)

W2=-3.401 eV
-3.4 electron in a Coulomb potential (H atom)
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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.
Driven damped oscillator
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Balloon Car
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Clone of Bomba de golpe de Ariete
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IACS Rocket Science
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Grundmodell der Newtonschen Mechanik angewendet auf den Fall mit Luftreibung (z.B. Fallschirmspringen)
Clone of Fall_mit_Luftreibung
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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)

Clone of THE BROKEN LINK BETWEEN SUPPLY AND DEMAND CREATES CHAOTIC TURBULENCE (+controls)