Determine the period of each of the following periodic relations, and whether the relation is a function or not.
Determine the period of each of the following periodic relations, and whether the relation is a function or not.
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Determine the period of each of the following periodic relations, and whether the relation is a function or not.
discrete maths 2. (Lewis, Zar 14.7) Determine whether each of the following relations is transitive, symmetric,...
discrete maths
2. (Lewis, Zar 14.7) Determine whether each of the following relations is transitive, symmetric, and reflexive and why: (a) The subset relation (b) The proper subset relation (c) The relation R on Z, where R(a, b) if and only if b is a multiple of a (d) The relation R on ordered pairs of integers, where R(<a,b>,<c,d >) if and only if ad-bc.
Determine whether or not each of the following signals is periodic. If a signal is periodic, determine its fundamental period.
Instruction: Determine whether or not each of the following signals is periodic. If a signal is periodic, determine its fundamental period.1. x[n] = ej(π/4)n 2. x[n] = cos1/4n 3. x[n] = cosπ/3 n + sinπ/4 n 4. x[n] = cos2π/8 n
3. Determine whether or not each of the following signals is periodic. If a signal is...
3. Determine whether or not each of the following signals is periodic. If a signal is periodic fundamental period x(t)=cos(2t+4 Determine whether the following signals are Energy signals or Power signals a. 4.
3.(2 points) Determine whether the given function is periodic. If so, find its funda- mental period....
3.(2 points) Determine whether the given function is periodic. If so, find its funda- mental period. (a) f(x) = 24 (b) f(x) = sin(ſx) (c) f(x) = ln x + cos x (d) f(x) = cos(65 4.(3 points) Sketch the graph of the given function defined on an interval (-0, 0) if (a) f(x) = e" for x > 0 and f(x) is an even function. (b) f(x) = {x, 0 < x < 2 (b) [(*) = 10, x=2...
Relations - No Proofs! Determine (no proof needed!) whether each of the following relations R, S,...
Relations - No Proofs! Determine (no proof needed!) whether each of the following relations R, S, T on the set of real numbers is reflexive, symmetric, antisymmet- ric, and/or transitive. a) « Ry iff r - y is positive: reflexive: symmetric: anti-symmetric: transitive: b) Sy iff r = 2y reflexive: symmetric: anti-symmetric: transitive: c) <Ty iff zy < 0: reflexive: symmetric: anti-symmetric: transitive:
For each of the following relations on the set of all real numbers, decide whether or...
For each of the following relations on the set of all real numbers, decide whether or not the relation is reflexive, symmetric, antisymmetric, and/or transitive. Give a brief explanation of why the given relation either has or does not have each of the properties. (x, y) elementof R if and only if: a. x + y = 0 b. x - y is a rational number (a rational number is a number that can be expressed in the form a/b...
Given the following binary relations: The relation Rl on {w, 1, y, z), where R1 =...
Given the following binary relations: The relation Rl on {w, 1, y, z), where R1 = {(w, w), (w, 1), (x, w), (x, 1 ), (x, z), (y, y), (z,y),(2, 2)). The relation R2 on (a, b, c), where R2 = {(a, a ), (b, b), (c, c), (a, b), (a, c), (c, b)}. The relation R3 on {x,y,z}, where R3 = {(1, 2), (9,2), (2, y)}. Determine whether these relations are: (1) reflexive, (2) symmetric, (3) antisymmetric, (4) transitive?
Determine the domain and the range of the relation, and tell whether the relation is a...
Determine the domain and the range of the relation, and tell whether the relation is a function. {(9,3), (28,-1). (42,3), (9,9), (58,9) The domain is { (Use a comma to separate answers as needed. Type each answer only once.) The range is {C (Use a comma to separate answers as needed. Type each answer only once.) Is this relation a function? No Yes
Chapter 1: Problem 1. Determine whether or not each of the following signals is periodic. In...
Chapter 1: Problem 1. Determine whether or not each of the following signals is periodic. In case a signal is periodic, specify its fundamental period. a.X (n) = 3 cos (5n + 4) b. x(n) = 2 exple-t) C. x(n) = cos () cos (4) d. "(m) = cos (3)- sin (a) + 3 cost 8 cos )
1. Determine whether or not each of the following signals is periodic. In case a signal...
1. Determine whether or not each of the following signals is periodic. In case a signal is periodic, specify its period. sin(411t n+2) • cos? (in) . Can we use the formula, f = min ( - 14|1 - 4 + l{\), to find the period of sin(fnt n) or cos(2ft n)?
discrete maths
2. (Lewis, Zar 14.7) Determine whether each of the following relations is transitive, symmetric, and reflexive and why: (a) The subset relation (b) The proper subset relation (c) The relation R on Z, where R(a, b) if and only if b is a multiple of a (d) The relation R on ordered pairs of integers, where R(<a,b>,<c,d >) if and only if ad-bc.
3. Determine whether or not each of the following signals is periodic. If a signal is periodic fundamental period x(t)=cos(2t+4 Determine whether the following signals are Energy signals or Power signals a. 4.
3.(2 points) Determine whether the given function is periodic. If so, find its funda- mental period. (a) f(x) = 24 (b) f(x) = sin(ſx) (c) f(x) = ln x + cos x (d) f(x) = cos(65 4.(3 points) Sketch the graph of the given function defined on an interval (-0, 0) if (a) f(x) = e" for x > 0 and f(x) is an even function. (b) f(x) = {x, 0 < x < 2 (b) [(*) = 10, x=2...
Relations - No Proofs! Determine (no proof needed!) whether each of the following relations R, S, T on the set of real numbers is reflexive, symmetric, antisymmet- ric, and/or transitive. a) « Ry iff r - y is positive: reflexive: symmetric: anti-symmetric: transitive: b) Sy iff r = 2y reflexive: symmetric: anti-symmetric: transitive: c) <Ty iff zy < 0: reflexive: symmetric: anti-symmetric: transitive:
For each of the following relations on the set of all real numbers, decide whether or not the relation is reflexive, symmetric, antisymmetric, and/or transitive. Give a brief explanation of why the given relation either has or does not have each of the properties. (x, y) elementof R if and only if: a. x + y = 0 b. x - y is a rational number (a rational number is a number that can be expressed in the form a/b...
Given the following binary relations: The relation Rl on {w, 1, y, z), where R1 = {(w, w), (w, 1), (x, w), (x, 1 ), (x, z), (y, y), (z,y),(2, 2)). The relation R2 on (a, b, c), where R2 = {(a, a ), (b, b), (c, c), (a, b), (a, c), (c, b)}. The relation R3 on {x,y,z}, where R3 = {(1, 2), (9,2), (2, y)}. Determine whether these relations are: (1) reflexive, (2) symmetric, (3) antisymmetric, (4) transitive?
Determine the domain and the range of the relation, and tell whether the relation is a function. {(9,3), (28,-1). (42,3), (9,9), (58,9) The domain is { (Use a comma to separate answers as needed. Type each answer only once.) The range is {C (Use a comma to separate answers as needed. Type each answer only once.) Is this relation a function? No Yes
Chapter 1: Problem 1. Determine whether or not each of the following signals is periodic. In case a signal is periodic, specify its fundamental period. a.X (n) = 3 cos (5n + 4) b. x(n) = 2 exple-t) C. x(n) = cos () cos (4) d. "(m) = cos (3)- sin (a) + 3 cost 8 cos )
1. Determine whether or not each of the following signals is periodic. In case a signal is periodic, specify its period. sin(411t n+2) • cos? (in) . Can we use the formula, f = min ( - 14|1 - 4 + l{\), to find the period of sin(fnt n) or cos(2ft n)?
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