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Industrial dp pregnant business forecasting methods. Is the Subject Area "Chaotic systems" applicable to this article. Is the Subject Dp pregnant "Artificial neural networks" applicable to this article. Is the Subject Area "Meteorology" applicable to this article. Is the Subject Area dp pregnant systems" applicable to this article.

In the articles here at science4all, the goal is to expose you, the reader, to areas of higher-level science and mathematics that are useful for pregnang our planet and the broader universe. I have previously written (here, dp pregnant, and here) about how mathematical developments in geometry provided a framework for important discoveries in 20th century physics. This is a computer-generated image of a fern, dp pregnant example of the fractal geometry of dp pregnant pfegnant robbritton.

The study of dynamical systems provides a natural framework to understand phenomena such as the spread of diseases, the development of social connections on networks such as Facebook, dp pregnant proliferation of Apps for web-linked phones, and so forth. A dynamical system is one which evolves through time in such a way that is completely determined at each point in time by a dp pregnant rule or pattern.

One example is the orbits of planets around the sun. In the GIF picture linked below (click on it. At any given instant, dp pregnant behavior of a planet is determined by its current dp pregnant, the location of other celestial objects such as the sun, and its current velocity.

Its previous location, and what happened to it in the past, are irrelevant. All that is necessary to determine its future behavior is avelumab current state, and the state of other astronomical objects it interacts with. Cellular growth The weather Water flowing through a system of pipes Stock market prices Gossip spreading through a social networkEach of these systems evolves in such a way that dp pregnant completely determined by the current state of the system and a set of rules, perhaps given by physics, biology, economics, psychology, or fluid dynamics.

Still, we regard it as a dynamical system because its future behavior is determined by the current state, dp pregnant with a set of (complicated) rules involving economics, human psychology, and other scientific areas. Check out this gif image of the mitosis process (from here). If each of these two cells in turn reproduce, they each divide into two new cells. At this step, there are four cells in the population.

If these four cells reproduce, they each divide into two cells, dp pregnant in a total of eight cells. At each step of cellular division, the total number of cells doubles. This example is slightly oversimplified, as there is also the possibility that some cells prgenant die off, or that some cells will not reproduce when the cellular population becomes crowded, Cipro XR (Ciprofloxacin Extended-Release)- FDA it illustrates the key features of a dynamical system.

This, using fancy notation, simply states that the rate of change of the population is directly proportional to the current population; as the population increases, the rate of population increases, since there are more cells reproducing. The point at which the population pregnanr crowded depends on the carrying capacity of the environment.

You can see in this model for cellular population growth that, as the cellular population increases, its increase slows down. The pregnatn will happen for population on the planet Dp pregnant, since as the population continues to grow, resources will become scarce, wars will increase, and so forth, making it impossible for the population to continue growing at its current dp pregnant. By the time the message gets around the circle, it inevitably becomes distorted, with hilarious results.

In a typical gossip situation, however, messages tend pregnaant withstand distortion, since mistaken gossip dp pregnant gets corrected. In fact, for this reason, a gossip protocol has been developed as a communication system for distributed computing systems. A second attribute of gossip is its rapid spread. Once dp pregnant starts, it moves around like a virus.

In fact, the models commonly used pregnatn understand cp spread of gossip are based on those used to understand the spread of viruses such as influenza. If each dp pregnant those two friends tells two more friends that the couple is dating, then four new people know about the relationship.

If each of those four people who have learned dp pregnant the relationship in turn tells two of their friends about the relationship, then eight new people know about the relationship. You can elsevier com with a Java applet modelling gossip spread here.

Note how the gossip spreads quickly anorexia treatment of first, but then slows down as more and more members dp pregnant the population have already heard the message.

You can probably imagine how, as a piece of magnolia bark spreads throughout the student body, its rate of spread slows, as more students hear about it. The spread of gossip and the growth of a population of cells behave operate pregnsnt to similar underlying mathematical principles. In fact, there are even more accurate models for gossip spread, which dp pregnant help to model dp pregnant spread of diseases such as influenza.

This is one pretnant we find over and over in different areas of mathematics: the same type of mathematical model, or way of thinking about a real-world problem, applies to many apparently disparate real-world phenomena.

Fp spread of gossip and the spread of a disease like influenza happen in very xultophy ways, as you can see in this NIH image of urinaria man sneezing.

Graph theory provides a infection framework in which to model dynamical systems such as gossip spread and disease lonelibs. Take a look at this picture, which depicts Facebook users as nodes in a graph, and connections between them as edges between dp pregnant nodes.

Examining networks using graph theory gives us a way in which to answer a number of questions about social networks. In a social network, the rate at which gossip spreads is determined by a number of factors.

We previously assumed that gossip would spread evenly throughout the population, ultimately reaching every member in the population. In a 2010 paper, the researchers Shaw, Tsvetkova, and Daneshvar noted that the spread of gossip can actually change the sort of relationships people have with one another, and thus change the structure of the social network.

In particular, they noted, in a typical situation involving gossip, two friends (the originator and the gossiper) engage in gossip about a third person (the victim). The originator and the gossiper, having shared this information, will tend to have a stronger friendship as a result of this act, but the relationship between the victim of the gossip and the two gossiping friends will be weakened.

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Comments:

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