i have solve this by using definition and theorem of normal subgroups and SL(n,F)
yes! 2 Recall that Sh₂ (Z) C Sh₂ (Q) c Sh₂ (IR) CSL₂ (6) Determine if...
Normal (0, 1) Recall the definition of z-value, e. Problem(1) (a) (2 points) Let Z P(Z>2r. Find the probability of P(-za/2<Z< za/2) . Normal (0, 1) Recall the definition of z-value, e. Problem(1) (a) (2 points) Let Z P(Z>2r. Find the probability of P(-za/2
Fundamentals to Electromagnets 1. Given that Determine: (a) P+Q-IR (b) P. Q x R (c) (P x Q) (Qx R) (d) cos θPR (e) sin θΡΟ
6. Consider the function Q(z) = Az[+ B2:1x2+ Cr where A, B, and C are numbers not all zero, = 0 and the level sets of the associated quadratic form; and recall the well-known classification rule for conic sections by the discriminant (B2 -4AC): if B2 - 4AC < 0, then the conic is an ellipse; if B2-4AC = 0, then the conic is an parabola; and if B2-4AC > 0, then the conic is a hyperbola. (a) Complete the...
6. Characterization and Synthesis (20 points total) Use the information provided below and the IR and NMR spectra on the next page to answer the following questions. a) An MS was taken of molecule A and the table is given below. Determine the molecular formula of A from the MS given below m/z 119 118 Relative abundance (Intensity) 9.9 100 b) Calculate the Index of Hydrogen Deficiency (IHD) for the molecule in A, above. c) Using the information in a...
C- haCh 6 Recall that Ps is the vector space of polynomials with degree less than 3 ay (6 points) Show that (x,x-1,2+1) is a spanning set of Ps (that is, any quadratic polynomial ar2+ bz + c is a linear combination of r, r -1, and ? +1). (b) (6 points) Show that , z-1,ェ2 + 1 are linearly independent. (c) (2 points) What do parts (a) and (b) show about the dimension of P? 0N t u Spanning...
Solve the problem 6 Hint- Prob Q-[0.1] x [O, 1], A-{(z, yje Q : y z) and B-( (z, y) є Q : y2 z). Let also f be a real-valued integrable function on such that AfdV 4. lem 6. Let (i) If Jo/dV = 3 find fBfdV, and compute the value of JB(2f + 5)dV. Hint: use the Tesult of problem 5 (ii) If f > 0 on A and E c A such that Vol(A \ E) =...
7. Differentiating normal z scores from all z scores Aa Aa Recall that z scores have the same shape as the original raw scores. That is, if the the raw scores are normally distributed, then when you transform them to z scores, these z scores are also normally distributed. Here we will cal such normally distributed z scores "normal z scores. Consider the following statements. Some of these statements are necessarily true for all z scores, some of these statements...
(P(x),Q(y), R(z)), where P depends only 2. Let S be any surface with boundary curve C, and let F(x,y, z) on r, where Q depends only on y, and where R depends only on z. Show that F.dr 0 C (P(x),Q(y), R(z)), where P depends only 2. Let S be any surface with boundary curve C, and let F(x,y, z) on r, where Q depends only on y, and where R depends only on z. Show that F.dr 0 C
Using the plug-in method determine A >0 such p (1-p) (1- A),p (1-p)(1+ A)] is a confidence interval for p (1 -p) with asymptotic level 95%. Note that A should only depend on n and p (Enter hatp for p. If applicable, enter Phi(z) for the cdf (z) of a normal variable Z, q(alpha) for the quantile qa for any numerical value a Recall the convention in this course that P (Z< qa) =1-a for Z~ N (0,1).) Using the...
Determine the structure of Compound 2 using the Mass Spec, IR, C NMR, H NMR, and Dept Experiments. Splitting patterns are as follows from left to right: triplet, 5 peaks (unsure of name), septet (7), 4 peaks (unsure of name), doublet Compound 2 Mass Spec MT:M/2 = 164 Relative Intensity 25 50 75 125 150 100 m/z IR LO0 D 4000 3000 2000 1500 1000 500 HAVENUMBERI-i H NMR: ditto as compound 1 6 2 2 4 1 2 PPM...