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Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.
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Indeed and following
Indeed we have the following result.
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Indeed and suppose
:: Indeed, suppose for example that is divisible by and that this latter is a prime.
Indeed, suppose we know how to eliminate quantifiers from conjunctions of formulae, then if is a quantifier-free formula, we can write it in disjunctive normal form
Indeed and is
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Indeed it is possible to separate electron paramagnetic from nuclear effects.
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Indeed, it is even surprising in the Canon of Christ Church and Regius Professor of Ecclesiastical History, who fathered this most peculiar view, and in the brilliant Professor of Medieval and Renaissance English at Cambridge, who inherited it and is now its most eminent proponent.
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Indeed he is widely praised by his successors, both Labour and Conservative.
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