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Describe the Properties of Inequalities ?
Postulate In comparing two quantities, say a and b, there are exactly three possibilities.(1) a is less than b. (a < b) (2) a is equal to b. (a = b) (3) a is greater than b. (a > b)
Notice:1. a < b and b > a are equivalent expressions.2. All the above statements are true if we replace the symbol "<" with ">". 3. If a < b and c > d, then no conclusion can be stated regarding how the values of a + c and b + d compare.
In the innovations algorithm, show that for each n = 2, the innovation Xn - ˆXn is uncorrelated with X1, . . . , Xn-1. Conclude that Xn - ˆXn is uncorrelated with the innovations X
48 more than the quotientvof a number and 64
A differential equation is termed as an ordinary differential equation, abbreviated through odes, if this has ordinary derivatives in it. Similarly, a differential equation is term
Your friends have opened an ocean fishing operation that requires their fishing vessel to cross a channel, where the depth of the water (measured in metres) varies with time, and i
You are given that the total frequency is 900 and the median 100.48. From the following frequency distribution, find the class frequencies that are missing. Intelligence No. of Int
The Lognormal Distribution If ln(X) is a normally distributed random variable, then X is said to be a lognormal variable. If P1, P2, P3, ... are the prices of a scrip in per
Comparison Test or Limit Comparison Test In the preceding section we saw how to relate a series to an improper integral to find out the convergence of a series. When the inte
A retention counselor at a state university believes that freshman year success is related to high school standard tests in math and reading, and in the number of credits the stude
Hyperboloid of One Sheet The equation which is given here is the equation of a hyperboloid of one sheet. x 2 /a 2 + y 2 /b 2 - z 2 /c 2 = 1 Here is a diagram of a com
The Fisher's index The index of Fisher acts as a compromise between Paasche' index and Laspeyre's index. This is calculated as a geometric mean of the two indexes.
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