Undergrad Asymmetric Tensor: Overview & Uses

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The discussion centers on the proper handling of a question regarding asymmetric tensors, with a focus on formatting equations using LaTeX for clarity. Participants emphasize that homework-related queries should be directed to the appropriate forum and adhere to specific guidelines. There is a clarification that the term "omega" is not defined, which complicates calculations. The conversation highlights the simplification of summation due to the antisymmetry of omega, noting that only a limited number of components are independent. To provide a complete answer, more context about the desired outcome is necessary.
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Is this a homework problem? If so, it should go in the appropriate homework forum, and the homework template should be filled out.

Also, formulas should not be pasted in as images; they should be done using the PF LaTeX feature. Otherwise it's impossible for people to quote your formulas properly when responding.
 
No, this is not a homework, I just learn by myself. thank you for your suggestion.
 
If you generated your equations using LaTeX, simply enclose the code for each equation between $$ delimiters on each side (for standalone equations) or ## delimiters (for "inline" equations, embedded inside a paragraph).
 
We also don't know how to calculate the term, because you don't give us what this omega is. Because omega is antisymmetric, the summation however simplifies, because only ##\frac{1}{2}D(D-1)## components of it are independent.
 
To answer the original question, you have to tell us what you want to achieve. I don't understand what you mean by "how to calculate it". It's just the expression you wrote down, what else should it be?
 

Thread 'Am I understanding the concept of proper frame of reference?'

MOVING CLOCKS In this section, we show that clocks moving at high speeds run slowly. We construct a clock, called a light clock, using a stick of proper lenght ##L_0##, and two mirrors. The two mirrors face each other, and a pulse of light bounces back and forth betweem them. Each time the light pulse strikes one of the mirrors, say the lower mirror, the clock is said to tick. Between successive ticks the light pulse travels a distance ##2L_0## in the proper reference of frame of the clock...
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