Reference no: EM131074913
Suppose v1,,,,,,,,,,,, vk are linearly independent vectors in Rn(1 ≤ k ≤ n). Then the set Xk = conv {±v1,,,,,,,,,±vk} is called a k-crosspolytope.
a. Sketch X1 and X2.
b. Determine the number of k-faces of the 3-dimensional crosspolytope X3 for k = 0, 1, 2. What is another name for X3?
c. Determine the number of k-faces of the 4-dimensional crosspolytope X4 for k = 0, 1, 2, 3. Verify that your answer satisfies Euler's formula
d. Find a formula for fk (Xn), the number of k-faces of Xn, for 0 ≤ k ≤ n - 1.
|
Find the speed of the train
: A train leaving town X for town Y at dawn is to arrive at its destination 300km away, traveling at 72km/hr, find the speed of the train in m/s
|
|
Rate of interest that company is paying for borrowed money
: A company sold a $1,000,000 issue of bonds with a 15-year life, paying 4% interest per year. The bonds were sold at par value. If the company paid a selling fee of $50,000 and has an annual expense of $70,256 for mailing and record keeping, what is t..
|
|
In situation of increasing opportunity costs
: “In a situation of increasing opportunity costs, trade can be beneficial to both countries if they have identical tastes. However, trade cannot be beneficial to either country if the countries have identical PPFs” Is this statement correct of incorre..
|
|
Mid-point method to calculate own-price elasticity of demand
: A cafe catering for staff in a large corporation offers steak sandwiches and hamburgers as part of its menu. a) Recently corporation staff were awarded a 7.5% wage rise. your conclusion based upon your estimate of the own-price elasticity of demand. ..
|
|
Determine the number of k-faces of the 3-dimensional
: Determine the number of k-faces of the 3-dimensional crosspolytope X3 for k = 0, 1, 2. What is another name for X3?
|
|
What is denormalization
: Explain how attributes are transformed into columns. What column properties do you take into account when making the transformations? The attributes become the columns of the relation and the identifier of the entity becomes the primary key of the r..
|
|
I need to write the summary
: I need to write the summary, around 330 words from the newspaper, this is the link http://www.nytimes.com/2015/05/14/nyregion/officer-shoots-man-in-midtown-manhattan.html?ref=topics
|
|
Compare the responsibilities of local and state governments
: Compare and contrast the responsibilities of local, state, and federal governments under the National Response Framework. Use specific examples to illustrate the responsibilities of the different levels of government.
|
|
Find the speed of the train
: A train leaving town X for town Y at dawn is to arrive at its destination 300km away, traveling at 72km/hr, find the speed of the train in m/s
|