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The Gauss-Bonnet type formula (1) is then just a reformulation of the Euler-Poincaré formula because L ( G ) is then the cohomological Euler characteristic.
An immediate consequence of product formulas for dynamical zeta functions is a product formula, which is in the case of the identity ζ Id ( z ) = ( 1 − z ) − χ ( G ) again just a reformulation of the Euler-Poincaré formula.
The lack of formula.
Choose a type of formula.
Buy a bag of formula.
Actually, in such a peculiar functional setting the proof of this integration formula is nontrivial and requires a proper reformulation of some basic concepts of convex analysis, like those of resolvent, of Yosida approximation, and of Moreau Yosida regularization.
The numerical method is based on a reformulation of Schrödinger equations, using split distributional variables and their related integration by parts formulae to account for solution jumps across material interfaces.
"A cylindrical reformulation of Heegaard Floer homology".
A reformulation of an existing product, with beetroot extract added.
This change requires a reformulation of economic freedom.
"Errata to 'A cylindrical reformulation of Heegaard Floer homology'".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com