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Indicate the species and note the distance between the striae from the figure Calculate the theoretical resolution of the microscope under these conditions The NA is indicated on the barrel of the lens Show your work The apparent and calculated resolution limits should roughly agree Now examine the diatom Pleurosigma with a dry 100 objective and close down the field-stop diaphragm to illuminate just this one diatom and no other Make an accurate sketch of the hexagonal arrangement of the pores Close down the condenser diaphragm to its minimum size Now examine its diffraction pattern in the diffraction plane of the microscope using the telescope lens Make an accurate sketch of the diffraction pattern How does the diffraction pattern relate to the spacing pattern of the diatom pores in the image plane Examine the diatoms in red and blue light and with the condenser aperture open or maximally closed.



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>>> from numpy import * >>> A = matrix(array( ... [[1.75, 1.5, -2.5], ... [0.0, -0.5, 0.65], ... [0.0, 0.0, 0.25]], float)) >>> A matrix([[ 1.75, 1.5 , -2.5 ], [ 0. , -0.5 , 0.65], [ 0. , 0. , 0.25]]) >>> b = array([0.5, -1.0, 3.5]) >>> b array([ 0.5, -1. , 3.5]) >>> x = solve upper diagonal system(A, b) >>> x = matrix(x).transpose() # column vector >>> x matrix([[ 2.97142857], [ 20.2 ], [ 14. ]]) >>> A*x #matrix vector product matrix([[ 0.5], [-1. ], [ 3.5]]) """ if len(a.shape) <> 2: raise RuntimeError, "Expected a to be a matrix" if a.shape[0] <> a.shape[1]: raise RuntimeError, "Expected a to be a square matrix" if len(b.shape) <> 1: raise RuntimeError, "Expected b to be a column vector" if b.shape[0] <> a.shape[0]: raise RuntimeError, "Expected b to be a column vector" N = a.shape[0] for i in range(N): if a[i, i] == 0.0: raise RuntimeError, "Singular upper diagonal matrix" for j in range(0, i): if a[i, j] <> 0.0: raise RuntimeError, "Matrix not upper" "diagonal" x = numpy.zeros(N) for i in range(N-1, -1, -1): tmp = 0.0 for j in range(i+1, N): tmp += a[i, j]*x[j] x[i] = (b[i]-tmp)/a[i, i] return x





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Which pair of conditions gives the lowest and the best resolution of the striae Examine the diatom Pleurosigma or Diatoma with a 100 oil immersion lens Can the striae and pores be resolved Examine the diffraction plane under these conditions Make sketches of both views Now oil the condenser as well as the objective and repeat your observations Make sketches Do you notice a difference in resolution.

outside of Chicago (sometimes called the Jewish exchange) It was the principal source for the lasting image of rivalry1 Another good example of erce competitive challenges that I can recall occurred in the mid-1980s, when both the CBOT and the CME sought the rights to the Nasdaq index for futures trade The CBOT got the license in what turned out to be a costly mistake for Nasdaq However, it was a serious loss for the CME as well, since we had become the futures equity index market for the world Listing the Nasdaq product at our Chicago rival would alter this reality To counter the potential loss, we turned to Standard & Poor s, with whom we had a long and highly pro table relationship, for help.

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I helped convince their of cials to design a brand-new over-thecounter index equivalent to the Nasdaq, which the CME would list for trade We named it SPOC, Standard & Poor s Over-the-Counter index We even explored the idea of using Leonard Nemoy, the original Mr Spock from the TV Star Trek series, as our bell ringer, but he was too expensive A heated and rancorous battle between the two Chicago exchanges ensued, costing each in the neighborhood of $4 million in public relations and marketing I recall personally losing a good deal of money trying to generate trade in the SPOC pit day after day My presence and trading in the pit of a newly launched contract was always a focal point for the membership, serving to coerce other traders into helping generate initial liquidity It became one of my trademarks.

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