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- *Rescaling should affect the dynamics in a continuous fashion. *Rescaling shouldn't affect the direction of the dynamics at all.38 KB (2,588 words) - 14:23, 19 September 2012
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- The actual dynamics resembles that of your bank account: once a year the current amount is chec '''Exercise.''' Confirm that the dynamics is as expected for all values of $k>0$ and $k<0$.47 KB (8,415 words) - 15:46, 1 December 2015
- ...unction $x:I\to S$ of time $t$, where $I$ is some interval. Meanwhile, the dynamics of the particle is governed by the velocity of the flow, at each location a Let's start with dimension $1$ and $S:={\bf R}$. Then this dynamics is given by an ''ordinary differential equation'' (ODE):42 KB (7,138 words) - 19:08, 28 November 2015
- ...Is it possible for them to stay constant? In other words, does every price dynamics allow an equilibrium? The dynamics of prices is captured by a continuous function $F:P\to P$. However, we know41 KB (7,169 words) - 14:00, 1 December 2015
- Let's take a look at an example of a possible dynamics ($\alpha=0.10$, $\beta=0.50$, $\gamma=0.20$, $\delta=0.20$, $h=0.2$): We will investigate the dynamics at all locations in the first quadrant of the $tx$-plane.63 KB (10,958 words) - 14:27, 24 November 2018
- *Rescaling should affect the dynamics in a continuous fashion. *Rescaling shouldn't affect the direction of the dynamics at all.38 KB (2,588 words) - 14:23, 19 September 2012
- ...is a function $u:{\bf Z}^+\to {\bf R}^2$ of time $t\ge 0$. Meanwhile, the dynamics of the particle is governed by the velocity of the flow, at each moment of ...ets<!--\index{spreadsheet}-->, such as Excel, can be used to model various dynamics and some of the processes can also be visualized.26 KB (4,649 words) - 12:43, 7 April 2016
- The actual dynamics resembles that of a bank account: once a year the current amount is checked '''Exercise.''' Confirm that the dynamics is as expected for all values of $k>0$ and $k<0$.16 KB (2,913 words) - 22:40, 15 July 2016
- **1.2 Nonlinear Dynamics *10 Nonlinear Dynamics5 KB (616 words) - 14:03, 6 October 2016
- Imagine a hound running after a rabbit. Let's investigate their mutual dynamics. ...r 21 we used the discrete equation above to the motion of spring and other dynamics. What about the other equation? In the simplest case $a=0$, it was also sol50 KB (8,692 words) - 14:29, 24 November 2018
- ''Adsorption Dynamics of CO on Silica Supported Gold Clusters: Cluster Size Effects in Molecular ...e gold metal clusters on gas-surface energy transfer processes (adsorption dynamics)... For the statistical analysis, commercial imaging analysis software (Pix1 KB (132 words) - 15:10, 9 October 2010
- ...idered an example of how functions appear as direct representations of the dynamics given by an indirect description: motion's velocity is derived from the acc Suppose we know the forces affecting a moving object. How can we predict its dynamics?59 KB (10,063 words) - 04:59, 21 February 2019
- '''Example (Newton's Law of Cooling).''' The dynamics of cooling of an object is depends on the difference between its temperatur Such a sequence is called a ''logistic sequence''. Its dynamics dramatically depends on $r$:113 KB (18,425 words) - 13:42, 8 February 2019
- ...vertical and horizontal directions, simultaneously and independently. The dynamics is very different. In the ''horizontal'' direction, as there is no force ch Any possible dynamics is found by specifying the values of the four constants:76 KB (13,017 words) - 20:26, 23 February 2019
- ...rplane in a wind-tunnel. A similar idea is used to model a fluid flow. The dynamics of each particle is governed by the velocity of the flow, at each location, Suppose we know the forces affecting a moving object. How can we predict its dynamics?91 KB (16,253 words) - 04:52, 9 January 2019
- ...the distribution of heat throughout the rod at every moment of time or the dynamics of the temperature at every location. Conclusion: the temperature evens out ...xample, a square heater in the middle of a room will produce the following dynamics of distribution of the temperature over the floor:53 KB (9,682 words) - 23:19, 18 November 2018
- ...tions of the Lefschetz fixed point theory techniques, already available in dynamics, in control theory. ...and input spaces, we can gain insight from this theorem into the possible dynamics of the system. For example, the condition of the theorem holds if $H_{2k}(N17 KB (3,052 words) - 22:12, 15 July 2014
- ...he general case of edges/rooms of arbitrary size. Then what determines the dynamics of the heat transfer isn't the amount of heat $U(a)$ in room $a$ but its '' The simplest way to implement this dynamics with a spreadsheet is to use the first two rows for the initial conditions16 KB (2,843 words) - 21:41, 23 March 2016
- *4a. How would predator and prey populations interact when their dynamics is affected by seasons? ([http://users.marshall.edu/~saveliev/Teaching/Spri *4b. How would predator and prey populations interact when their dynamics is affected by random fluctuation?9 KB (1,360 words) - 15:10, 1 June 2017
- ...motion: if we know the ''velocity'' of a moving object, we can predict its dynamics. For example, the ODE: ...ecting the object and, therefore, its acceleration. How can we predict its dynamics?64 KB (11,426 words) - 14:21, 24 November 2018
- ...atement'': (a) How would predator and prey populations interact when their dynamics is affected by seasons? ([http://users.marshall.edu/~saveliev/Teaching/Spri ...atement'': (b) How would predator and prey populations interact when their dynamics is affected by random fluctuation?13 KB (2,078 words) - 22:43, 26 October 2019
