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Ein mg 214Pb zerfällt in 214Bi, danach in 214Po, dann blitzschnell in 210Pb.
Radioaktiver Zerfall
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​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.



Clone of Clone of ​The probability density function (PDF) of the normal distribution or Bell Curve Gaussian Distribution by Guy Lakeman
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Clone of Rocket Model 2015 DiCarlo
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How relativistic dynamics can be explained by adding a kinetic mass component due to E=mc^2.
Relativistic dynamics (including energy calculations)
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Oscillator with limit cycle from Z202 System Zoo 1 p84-87
Van der Pol Oscillator
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A Fourier series is a way to expand a periodic function in terms of sines and cosines. The Fourier series is named after Joseph Fourier, who introduced the series as he solved for a mathematical way to describe how heat transfers in a metal plate.

The GIFs above show the 8-term Fourier series approximations of the square wave and the sawtooth wave.

Fourier series
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How gravity and air drag interact to create terminal velocity.
Terminal velocity
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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)
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Após uma enchente, um grupo de pessoas ficou ilhado numa região. Um avião de salvamento, voando horizontalmente a uma altura de 720 m e mantendo uma velocidade de v = 50m/s, aproxima-se do local para que um pacote com medicamentos e alimentos seja lançado para as pessoas isoladas. A que distância, na direção horizontal, o pacote deve ser abandonado para que caia junto às pessoas? Despreze a resistência do ar e adote um g = 10m/s².

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 Horizontal no vácuo.

Clone of Lancamento Horizontal
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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.
Clone of Driven damped oscillator
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Grundmodell der Newtonschen Mechanik angewendet auf den freien Fall
Freier_Fall
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An steel cylinder oscillates inside a glass tube and over confined air within a glass bottle. As consecuence one observes an oscilation of the inside presure and the inner energy (temperature).
Clone of Rüchardts experiment 24 11 2023
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Uma empresa de transportes precisa efetuar a entrega de uma encomenda o mais breve possível. Para tanto, a equipe de logística analisa o trajeto desde a empresa até o local da entrega. Ela verifica que o trajeto apresenta dois trechos de distâncias diferentes e velocidades máximas permitidas diferentes. No primeiro trecho, a velocidade máxima permitida é de 80 km/h e a distância a ser percorrida é de 80 km. No segundo trecho, cujo comprimento vale 60 km, a velocidade máxima permitida é 120 km/h. Supondo que as condições de trânsito sejam favoráveis para que o veículo da empresa ande continuamente na velocidade máxima permitida, qual será o tempo necessário, em horas, para a realização da entrega? 

Fonte: Enem 2012

Clique aqui para ver uma descrição do que é Movimento Uniforme.

Clone of Movimento Uniforme
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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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​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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Simple Pendulum
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Spring-Mass-Damper model (based on IACS physics)
Spring-Mass-Damper Model
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OVERSHOOT GROWTH GOES INTO TURBULENT CHAOTIC DESTRUCTION

The existing global capitalistic growth paradigm is totally flawed

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 limited size working capacity containers (villages communities)

Clone of OVERSHOOT GROWTH INTO TURBULENCE
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Clique aqui para ver uma descrição do que é Movimento Uniformemente Variado

Exemplo:

(FUVEST -2004) Um veículo parte do repouso em movimento retilíneo e acelera com aceleração escalar constante e igual a 2,0 m/s2. Pode-se dizer que sua velocidade escalar e a distância percorrida após 3,0 segundos, valem, respectivamente:

Clone of Movimento Uniformemente Variado
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Spring-Mass model used in IACS physics class
Clone of Spring-Mass Model
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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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Spring-Mass model used in IACS physics class
Clone of Spring-Mass Model
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D'après l'article Wikipedia
Oscillateur de Van der Pol
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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