MATH RHM TERMS

A function y=f(x) is called a __________function in an interval if it is such that throughout the interval a larger value of x gives a large value of y, I.e., an increase in the value of x always causes an increase in the value of

A function is called a __________ function, if it is such that an increase in the value of x always causes a decrease in the value of the function.

A function which is either monotonically increasing or decreasing is called a _________.

A function f : A → B is _______ if for each b ∈ B there is at most one a ∈ A with f (a) = b.

A function f : A → B is _______ if for each b ∈ B there is at least one a ∈ A with f (a) = b. A. one-to-one

One-to-one is also known as

Onto is also known as

Both One-to-one and Onto is also known as

The function R→R, literally means a function of Real numbers to Real numbers given by the function f(x)=2x + 1 , this function

The function Z→Z means a function from integers to integers given by the function f(x) = 2x + 1 , this function is ______.

A square matrix C, If C^2= C, then the matrix is

A square matrix B, If B^(k+1)=B, where k is some positive integer. Then the matrix is

A square matrix A, If A^k = 0, where k is some positive integer. Then the matrix is

A type of matrix where A^2=I, the matrix is

If A is any statement, then which of the following is not a contradiction?

¬ (A ∨ q) ∧ (A ∧ q) is a ___________

The inverse of p → q is the proposition:

A → (A ∨ q) is a __________

P → q is logically equivalent to

¬ (p ↔ q) is logically equivalent to:

(p → q) ∧ (p → r) is logically equivalent to:

In hypothesis testing, H_1 represents the claim we want to establish, this is known to be

In hypothesis testing, H_0 represents the negation of the claim

Rejection of H_0 when H_0 is true.

Nonrejection of H_0 when H_1 is true.

The _______is the probability of obtaining a value for the test statistic that is as extreme as or more extreme than the value actually observed. Probability is calculated under the null hypothesis.

The alternative formula for correlation coefficient r is.

_______is an important preliminary step preceding any statistical analysis of the two variables. The existence of any increasing, or decreasing, relationship becomes readily apparent

One of the key concepts in creating a designed experiment, when randomizing a factor is impossible or too costly, it lets you restrict randomization by carrying out all of the trials with one setting of the factor and then all the trials with the other setting.

One of the key concepts in creating a designed experiment, which refers to the order in which the trials of an experiment are performed. A randomized sequence helps eliminate effects of unknown or uncontrolled variables

One of the key concepts in creating a designed experiment, which refers to repetition of a complete experimental treatment, including the setup.