Equal Integration on Real and Rotated Axes: Why the Difference at +pi/4?

In summary, equal integration on real and rotated axes refers to the concept of integrating a function over a real axis and a rotated axis, and the difference arises at +pi/4 due to the rotation causing a change in the orientation of the axes. This difference is important to consider in mathematical calculations and can lead to different results depending on the chosen axis of integration.
  • #1
naima
Gold Member
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bonjour,

on http://galileo.phys.virginia.edu/cla...atPhase101.htm
we have the same value on the real axe and on rotated one by-pi/4?
<Note that the result of integration is different wit a rotation of +pi/a (infinity)
regards
 
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  • #2
Sorry I can't open that page.
 
  • #4
of course the question is: why is there an equality when integrating on these axes(real and -pi/4) and why ist it different an the +pi/4 axe?
thanks
 

FAQ: Equal Integration on Real and Rotated Axes: Why the Difference at +pi/4?

What is integration in scientific terms?

Integration is a mathematical process that involves finding the area under a curve. It is used to solve problems in many scientific fields, including physics, engineering, and biology.

How is integration related to axe rotation?

In physics and engineering, integration is used to calculate the rotational motion of objects, such as an axe. By finding the area under the curve of the rotational velocity, we can determine the angular displacement and acceleration of the axe.

Why is integration important in studying axe rotation?

Integration allows us to analyze the rotational motion of objects, which is crucial in understanding their behavior and performance. By using integration, we can predict how an axe will rotate and how it will respond to different forces.

What are some real-world applications of integration in axe rotation?

Integration is used in designing and analyzing various types of axes, such as hatchets, woodchoppers, and battle axes. It is also used in sports such as axe throwing, where the rotational motion of the axe is essential for accuracy and distance.

How can integration be used to improve axe rotation?

By using integration, we can optimize the design and performance of axes. By analyzing the rotational motion of different axes, we can determine the best weight distribution, shape, and materials to achieve the desired rotation and accuracy. This can lead to more efficient and effective axes for various purposes.

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