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Mathematica symbols are the ultimate atoms of symbolic data. Every symbol has a unique name, exists in a certain Mathematica context or namespace, and can have a variety of types of values and attributes.
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Are greek symbols causing different evaluation?
Now, if we do the very same integration, but with different symbols:
Integrate[gr[x, τ, δ, Δ, τs, δs], {x, 0, TR},
Assumptions -> {0 < τ < τ+δ < τ+Δ < τ+δ+Δ < τ+δ+Δ+τs < τ+δ+Δ+τs+δs < TR}]
All of a …