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Compute $H_{*}\left(S^{1} ; E\right)$ and $H^{*}\left(S^{1} ; E\right)$ for $E \rightarrow S^{1}$ the nontrivial bundle with fiber $\mathbb{Z}$.

Calculus 3

Chapter 3

Cohomology

Section 11

Local Coefficients

Vectors

Johns Hopkins University

Missouri State University

Harvey Mudd College

University of Nottingham

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

00:36

The normalised fibre frequ…

So the question says that the normal as viper frequency is expressed by by so, let's solve this question. So let's solve this question normal fibre frequency is expressed by it is expressed by it is normalized fibre frequency v equals to 2 pi a by lambda, not 1 square minus 1 by 2, that is, v equals to 2 pi pi ta equalsecond.

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