1) | W → L | A | |
2) | G & M | A | |
3) | G → (J v W) | A | |
4) | J → L | A |
Conclusion: M & L
Note: A dependency column is provided in case you need it. If you don't include a supposition in this proof, you don't need to include dependency entries (if you don't introduce a supposition, you can leave the far left column blank).
3. Prove valid by a deductive proof: 1. S (TR) 2. R R 3. (V S)-(W T)/ .. V D~W 4. Prove valid by a deductive proof: 1. (B. L)VT 2. (BVC) (~LO M) 3.~M /.. T 5. Prove valid by a deductive proof: 1. E.(FVG) 2. (E.G)(HVI) 3. (~HV I)(E . F) /.. H= I
E={a,b,c,d}, L = {anbmchdm : n, m 2 0}. For example, s = aabccd e L because the symbols are in Unicode order, and #a(s) = #c(s), #(s) #c(s), #b(s) = #a(s); ac e L for the same reason; s = abcdd & L because #b(s) #a(s); and acbd & L beause the symbols are not in Unicode order. Prove that L & CFLs using the CF pumping theorem, starting by defining w such we Land |w| 2 k. Remember...
For the beam shown: M=WL2/2 w (N/m) A L/2 2+ L/2 L/2 : - L/2 2 | Provide an expression for the deflection at the left end (you can use any method). Type "ok" if you will upload the solution image in "Final Upload":
Definition: Given a Graph \(\mathrm{G}=(\mathrm{V}, \mathrm{E})\), define the complement graph of \(\mathrm{G}, \overline{\boldsymbol{G}}\), to be \(\bar{G}=(\mathrm{V}, E)\) where \(E\) is the complement set of edges. That is \((\mathrm{v}, \mathrm{w})\) is in \(E\) if and only if \((\mathrm{v}, \mathrm{w}) \notin \mathrm{E}\) Theorem: Given \(\mathrm{G}\), the complement graph of \(\mathrm{G}, \bar{G}\) can be constructed in polynomial time. Proof: To construct \(G\), construct a copy of \(\mathrm{V}\) (linear time) and then construct \(E\) by a) constructing all possible edges of between vertices in...
Consider liquid water flowing over a flat plate of length L = 1 m. The water has the following properties: ρ-1000 kg/m3, Cp-4000 J/kgK. 10 3 kg/ ms, k 0.6 W/m . C μ Midway through the plate at x = 0.5 m, you measure a heat flux to the surface of: 05 m 3181 W/m2 You also measure an average heat flux to the surface over the length of the plate of: "4500 W/m2 Knowing the latter, and knowing...
a). Provide a DFA M such that L(M) = D, and provide an English explanation of how it works (that is, what each state represents): b). Prove (by induction on the length of the input string) that your DFA accepts the correct inputs (and only the correct inputs). Hint : your explanation in part a) should provide the precise statements that you need to show by induction. For example, you could show by induction on |w| that E2 = {[:],...
1. What is the final volume in milliliters when 0.653 L of a 45.4 % (m/v) solution is diluted to 24.0 % (m/v)? Express your answer with the appropriate units. 2. A 751 mL NaCl solution is diluted to a volume of 1.06 L and a concentration of 8.00 M . What was the initial concentration? Express your answer with the appropriate units. 3. What volume of 1.00 M HCl in liters is needed to react completely (with nothing left...
3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative does not exist, write "D.N.E." in the space provided. Be sure to include work that shows how you arrived at your answer. 20 a) u'3) b) v-4) c) wl) 3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and...
1. In the circuit below, M, serves as an electronic switch. If Vin0, determine W/L such that the circuit attenuates the signal by only 5%. Assume VG = 1.8 V. RL-100Q, μ nCox-200 μ A/V, and VTH=0.4 V. Note that the transistor is operating in Triode region. Therefore, you have to use the triode region espression to caleulahsistance of the transistor. M. out RL
For this beam, analyze the following: a) Draw the V and M diagrams using relationships only b) Redraw the Vand M diagrams solving the boundary value problem (BVP) c) Redraw the V and M diagrams using functions V(x) and M(x) d) Solve for the maximum beam stresses Omax (top and bottom at the critical location along the beam. NOTE: To do this, you need to find the centroid of the cross section first. e) Solve for the equation of beam...