Consider the poset where for a and b in , a < b if and only if a|b.
The join of a and b is their least common multiple and the meet of a and b is their greatest common divisor:
a ⋁ b = LCM(a,b) and a ⋀ b =GCD(a,b)
Verify the associative property holds for Part B:
As an example, answer for A are shown below:
Consider the poset where for a and b in , a < b if and only if a|b....
QUESTION 7 Consider the poset (A, R) represented by the following Hasse diagram (2 (a) Give each of the following If any do not exıst, explan why (i) The greatest element of (A, R) (i:) The least element of (A, R) (i) All upper bounds of {h, eh (iv) The least upper bound (LUB) or(h (v) All lower bounds of (b,c) (vi) The greatest lower bound (GLB) or(b, c} (b) Give complete reasons for the answers to the following (i)...
1. Let be the operator on whose matrix with respect to the standard basis is . a) Verify the result of proof " is normal if and only if for all " for question 1. Note: stands for adjoint b) Verify the result of proof "Orthogonal eigenvectors for normal operators" for question 1. The proof states suppose is normal then eigenvectors of corresponding to distinct eigenvalues are orthogonal. We were unable to transcribe this imageWe were unable to transcribe this...
a) Show that [a,b] | ab. b) Let d be a common divisor of a and b. Show that . c) Prove that (a,b)*[a,b] = ab. d) Prove that if c is a common multiple of a and b, then such that k[a,b] = c. e) Suppose that c is a common multiple of a and b. Show that ab | (a,b)*c Defn: Let m e Z. We say that m is a common multiple of a and b if...
The following circuit consists of linear time invariant components where R1 = 2, R2 = 3, C = 0.25F, and L = 1H. Let vs be the input voltage. (a) Solve the differential equation that describes vc(t). Hint: First, find the current going through the parallel branch of R1–C. Then, write the Kirchoff's Voltage Law for the main loop. (b) Find vc(t) given that vs(t) = 2.5 V at t = 0. Assume that vc(0-) = 1V and iL(0-) =...
Part A) Consider the cantilever beam and loading shown in the image below where d=15.0 ft, wB=750 lb/ft, and wA=330 lb/ft. (Figure 3) Determine the magnitudes of the internal loadings on the beam at point C. Express your answers, separated by commas, to three significant figures.NC=VC=MC=? Part B) Consider the semicircular member and loading shown in the image where d=0.770 m and F=45.0 N. (Figure 4) Determine the magnitudes of the internal loadings on the beam at point B. NB=VB=MB=?...
I need all the answers please. Thanks If a 15-V battery delivers 72.000 J in 6 s, find (a) the amount of charge delivered and (b) the current produced. (a)TT4.8 (b)To.8 ori We were unable to transcribe this imageChapter 1, Problem 1.11 The charge entering the positive terminal of an element is given by the expression qt)20e5.00t mC. The power delivered to the element is p(t)-9.2e8t w. Compute the current in the element as a function of time, the voltage...
that h(mn ) h ( m)n, h ( ) and that if m < n then h ( m ) < n ( n ) = . Exercise 2.7.4. [Used in Theorem 2.7.1.] Complete the missing part of Step 3 of the proof of Theorem 2.7.1. That is, prove that k is surjective. Exercise 2.7.5. [Used in Theorem 2.7.1.] Let Ri and R2 be ordered fields that satisf We were unable to transcribe this imageWe were unable to transcribe this...
Consider the function A. Give the intervals of increase and decrease of B. Give the local maximum and minimum values of C. Give the intervals of concavity of f(3) = x +3.03 f We were unable to transcribe this imageWe were unable to transcribe this image
Where And Exercise 6.5.28 Let S (z, y, z) e R3 1 z? + уг + z2-1,#2 0} be the upper hemisphere of the unit sphere in R3. For each of the following integrals, first predict what the integral will be, and then do the computation to verify your prediction 22. 222. 1U. JS Definition 6.5.9 Let S,T C(RT, R). The wedge product of S and T is the alternating bilinear form SAT : Rn × Rn → R given...
I have found answers to part a and b and just really need help with part c! and the extra if you have time. A= for part a then for part b, I have 5. Wave mechanics: (10 points) Suppose to have the following wave function (-oo 〈 x 〈 +00) r2 a for constants A and a a) Determine A, by normalize V(x). b) Use Ψ(x) to find the expectation values (a), (z2)), and σ,-V(z2,-(z c) Find the momentum...