Exponential Functions In Complex Analysis

calculuskatie · Sep 22, 2008

Can someone please tell me if I have the correct answer for this one?

e^(5pi/4) = (1-i)/(-sqrt(2))

Thanks...

CompuChip · Sep 22, 2008

You might want to check the sign of the imaginary part...
Drawing a picture might help.

uocan · Sep 22, 2008

I guess it should be e^(3pi/4)

HallsofIvy · Sep 22, 2008

Stop guessing! Show us how you arrived at either of those answer, please.

I will point out that whether you say
[tex]e^{5\pi/4}= \frac{1- i}{-\sqrt{2}}[/itex] or [tex]e^{3pi/4}= \frac{1- i}{-\sqrt{2}}[/itex] You run into the rather sizeable difficulty that the number on the left of the equal sign is real while the number on the right is not! Is it at all possible that you meant [itex]e^{5\pi i/4}[/itex] and [itex]e^{3\pi i/4}[/itex]?[/tex][/tex]

Exponential Functions In Complex Analysis

Undergrad Why ##a^0=1##?

Undergrad Finding the minimum distance between two curves

High School Arc Length for Hyperbolic Sin

Undergrad Why is ##x=e^y## the inverse of ##y=\int_1^x \frac{1}{t} dt##?

Undergrad Best way to numerically solve this system of equations?

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

Graduate About ellipticity and a proof that a system of PDEs is elliptic

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Exponential Functions In Complex Analysis

Similar threads