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Greek and Roman lettering used in formulas is derived from the scientist or theorist that developed the formula. Sigma represents stress directly. When a formula uses a capital or lwercase f, it is referring to stress as a type of force., hence the letter choice.

Q: Why the stress is written as sigma sometimes and as f or F others?

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The motto of Phi Sigma Phi is 'Do unto others as you would'.

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The sigma sign (Î£, which resembles a sideways M) represents the sum of. Sometimes there are numbers above and below the sigma sign. For example, below the sigma sign can be written x=2, and above the sigma sign can be written 6. This signifies the sum of the numbers between the number below, and the number above. If there is a formula alongside this, it signifies that you should apply the formula to each number, and add the numbers together (hence the Î£, sum of, sign).

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Different symbols are used but if you are referring to the greek symbol "σ", it is pronounced "sigma" (like stigma without the t).

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deformation is related to metamorphic rock structures because deformation can create metamorphic rocks through the stress it creates, and also certain structures in the foliations of metamorphic rocks can indicate stress and stress direction from deformation. Some structures caused by stress are folds and faults, and the resulting indicators in metamorphic rocks include things such as sigma structures, Z structures, mica fish, boudinage structures and many others.