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Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.
Let n >= 2 be a number. Define the graph L2(n) as follows: Vertices are ordered pairs from the set {1, ..., n}. Two vertices are adjacent if they have the same first coordinate, or the same second coordinate (but not both).
How many different triple-scoop cones can be made if the flavors can be duplicated?
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
Check for symmetry with respect to the x and y-axis and the origin.
Run the lab_03_01.sql script in the attached file to create the SAL_HISTORY table. Display the structure of the SAL_HISTORY table.
Develop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Define Tree Diagram and Dice Tossing
Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.
Center of Mass of 3D Pyramid, Finding the center of mass of a square-based 3D pyramid is usually done in calculus, but our professor wants us to work it out in algebra.
Determine the mean oil production with 95 percent confidence
This problem is in reference to students who may or may not take advantage of the opportunities provided in QMB such as homework. Some of the students pass the course, and some of them do not pass
Subtracting, Adding and multiplying two complex numbers
To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled.
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