How does this transition work?

In summary, transitions in science refer to a change from one state or phase to another, and can occur through various mechanisms. Factors such as stability, resources, and external conditions can influence the success of a transition. While some transitions can be predicted and controlled, others may be too complex. Transitions are studied through theoretical models and experimental methods, and can be found in natural and man-made systems. Examples include water phase transition, chemical reactions, metamorphosis, and societal changes.
  • #1
metalhead
1
0
Hi there
I have been stumped by this (probably simple) math transition in the attached file. Can someone please explain it in full detail?
Big thanks http://postimage.org/image/11vseawf8/"

<< edit by berkeman to post the explicit URL >>

http://postimage.org/image/11vseawf8
 
Last edited by a moderator:
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  • #2
I think you forgot to attach a file :smile:
 
  • #3
You mean, explain what they did? as in they allowed i to take the values 0, 1, and 2 and explicitly wrote the terms of the summation?
 

Related to How does this transition work?

1. How does this transition work?

Transitions in science typically refer to a change from one state or phase to another. This can occur through a variety of mechanisms such as chemical reactions, physical processes, or biological events. The exact details of how a specific transition works will depend on the context and variables involved.

2. What factors influence the success of a transition?

The success of a transition can be influenced by a variety of factors, including the stability and energy of the initial state, the availability of reactants or resources, the presence of catalysts or inhibitors, and external conditions such as temperature and pressure. These factors can impact the rate and direction of the transition.

3. Can transitions be predicted or controlled?

In some cases, transitions can be predicted and controlled through careful study and understanding of the underlying mechanisms. For example, in chemical reactions, the use of specific catalysts can speed up or direct the transition in a desired direction. However, some transitions may be too complex or unpredictable to fully control.

4. How are transitions studied in scientific research?

Transitions are studied through a combination of theoretical models and experimental methods. Scientists may use techniques such as spectroscopy, microscopy, and computer simulations to observe and analyze transitions in real time. By studying transitions, scientists can gain a better understanding of natural processes and develop new technologies.

5. What are some real-world examples of transitions?

Transitions can be found in many natural and man-made systems. Some examples include the phase transition of water from liquid to gas, the chemical reaction of iron rusting, the metamorphosis of a caterpillar into a butterfly, and the transition of a country from a monarchy to a democracy. Transitions are also important in fields such as materials science, environmental science, and medicine.

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