Register to reply

Help me parse the logic of this statement

by Poopsilon
Tags: logic, parse, statement
Share this thread:
Mar17-12, 11:17 AM
P: 294
So I have this statement that I'm supposed to prove and I cannot for the life of me figure out what parts I'm allowed to assume and what part I am expected to prove, here it is:

The residue of an analytic function f at a singularity a ∈ ℂ is the uniquely determined complex number c, such that the function
[tex]f(z) - \frac{c}{z-a}[/tex]
admits a primitive in a punctured neighborhood of the point a. (end statement)

I know I'm allowed to assume that f is analytic with a singularity at a, but beyond that I just can't tell if it's a biconditional I have to prove, or if it's just a conditional and if so which way. Thanks
Phys.Org News Partner Mathematics news on
Professor quantifies how 'one thing leads to another'
Team announces construction of a formal computer-verified proof of the Kepler conjecture
Iranian is first woman to win 'Nobel Prize of maths' (Update)
Mar17-12, 11:42 AM
Sci Advisor
HW Helper
P: 7,111
I think if means prove two things.

1. The residue is a uniquely determined complex number c.
2. f(x) has the property stated.
Mar17-12, 02:28 PM
P: 294
Thanks for your input Aleph, but it's not the answer I want to hear lol. Can I get a second opinion?

Register to reply

Related Discussions
Translating a statement to logic. Calculus & Beyond Homework 0
Logic: Logical Status of Statement Forms Calculus & Beyond Homework 7
Logic: Negating if then statement Calculus & Beyond Homework 5
Proof of a simple logic statement Precalculus Mathematics Homework 3
Statement logic, negation Precalculus Mathematics Homework 2