For the following relations on S = {0,1,2,3}, specify which of the properties (R), (AR), (AS),...

For the following relations on S = {0,1,2,3}, specify which of the properties (R), (AR), (AS), and (T) the relations satisfy.

(R) = reflexive

(AR) = anti reflexive

(AS) = anti symmetric

(T) = transitive

b.) (m,n) in the domain of R2 if m - n is even

c.) (m,n) in the domain of R3 if m less than or equal to n

d.) (m,n) in the domain of R4 if m + n is less than or equal to 4

e.) (m,n) in the domain of R5 if max{m,n} = 3

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

Which of the following ions or atoms possess paramagnetic properties ? S Ar- S2- Ar Na+

Let R and S be equivalence relations on a set X. Which of the following are...

Let R and S be equivalence relations on a set X. Which of the following are necessarily equivalence relations? (1)R ∩ S (2)R \ S . Please show me the proof. Thanks!

The accompanying figure illustrates various binary relations from R to R. Which are functions?

The accompanying figure illustrates various binary relations from R to R. Which are functions? For those that are functions, which are onto? Which are one-to-one?

Write down all of the properties that each of the following relations satisfies from among the...

Write down all of the properties that each of the following relations satisfies from among the properties of reflexive, symmetric, transitive, irreflexive, and antisymmetric. 1. R = {(a,b) | a^2 + b^2 = 1} over the real numbers. 2. R = {(a,b) | a^2 = b^2} over the real numbers

Consider the solid S with the following properties: • The base of S is the triangle...

Consider the solid S with the following properties: • The base of S is the triangle T with vertices (0, 0),(1, 0), and (0, 1). • When S is sliced perpendicularly to the x-axis, it has square cross sections. (a) (4 points) Sketch the base T and determine the equations of its three edges. (b) (3 points) Set up an integral to compute the volume of S. (c) (3 points) Evaluate the integral from part (b).

In which of the following pairs of properties are both properties chemical properties? (mark all that...

In which of the following pairs of properties are both properties chemical properties? (mark all that are correct) a) Has a density of 1.45 g/mL and is bright yellow b) Causes seizures in humans and melts at 1,560 degrees C c) is flammable and does not react with water d) Decomposes upon heating and destroys the ozone e) Has a pungent smell and is a gas at room temperature f) Melts below room temperature and does not react with sulfur

Determine which of the following sets of vectors form a basis for R 3 . S...

Determine which of the following sets of vectors form a basis for R 3 . S = {(1, 0, −1),(2, 5, 1),(0, −4, 3)}, T = {(−1, 3, 2),(3, −1, −3),(1, 5, 1)}.

Consider the following model of interacting species: R' = R(2 + 3R − S) S' =...

Consider the following model of interacting species: R' = R(2 + 3R − S) S' = S(1 − S + 4R) (a) Find all the equilibrium points, and determine the type of those points which are in the first quadrant (including those on the axes) (b) Plot the phase portrait of the system. (c) If the initial conditions are R(0) = 1 and S(0) = 1, what will be the population size of each species when t → ∞?

In the following cases, specify which of the two variables is the independent variable and which...

In the following cases, specify which of the two variables is the independent variable and which is the dependent variable. a. A rise the price of barley results in an increase in the quantity of Canadian barley offered for sale. The dependent variable is (Click to select)the quantity of Canadian barley offered for salethe price of barley and the independent variable is (Click to select)the price of barleythe quantity of Canadian barley offered for sale. b. The quantity of...

L = {a r b s | r, s ≥ 0 and s = r 2}....

L = {a r b s | r, s ≥ 0 and s = r 2}. Show that L is not regular using the pumping lemma

Subjects