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  • The NormalApproximation to theBinomial Distribution �� ��39.2 Introducti…

    https://sheffield.ac.uk/media/32107/download?attachment
    HELM (2008):Section 39.2: The Normal Approximation to the Binomial Distribution. 27. ... a) What is the probability that the diameter will exceed 0.81 cm? ... HELM (2008):Section 39.2: The Normal Approximation to the Binomial Distribution. 31. ......

  • CoSMoS: Cognitive Behavioural Therapy Software for the treatment of depression i…

    https://sheffield.ac.uk/media/11252/download
    Fourth Report on the Provision of Mental Health Services. HM Stationary Office: London. ... The CoSMoS Pilot Trial. CBT Software for the treatment of depression in people with Multiple Sclerosis. ... Participants in the usual care arm will be...

  • DSU sequential TNFs report

    https://sheffield.ac.uk/media/33946/download?attachment
    The updated searches identified 86 references. On inspection of the titles and abstracts. ... to IXB. Table 2: Studies included in the review and their key features. ... At the time of stopping 2nd biologic and then every 6 months Unclear. ... al....

  • Participant Information Sheet v1

    https://sheffield.ac.uk/media/11251/download
    What are the possible disadvantages and risks of taking part in this research? ... Daniel Hind, at the University of Sheffield on the contact number given below. ... The project has received ethical approval from the NHS National Research Ethics...
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  • The Scalar Product�� ��9.3 IntroductionThere are two kinds of ...

    https://sheffield.ac.uk/media/31970/download?attachment
    The Scalar Product. 9.3. IntroductionThere are two kinds of multiplication involving vectors. ... Simple trigonometry tells us that the lengthof the projection is |a| cos θ. ... Key Point 16. The angle θ between vectors a, b is such that:. ... The...

  • The Inverse of a Matrix�� ��7.4 Introduction In number ...

    https://sheffield.ac.uk/media/31962/download?attachment
    Then, by definition of the inverse,. AB = BA = I and AC = CA = I. ... Key Point 10. Matrix Inverse the Determinant Method. Given a square matrix A:. • ... If |A| 6= 0 we can proceed to find the inversematrix, as follows. • ... (d) Then...

  • ® The Vector Product�� ��9.4 IntroductionIn this Section we ...

    https://sheffield.ac.uk/media/31972/download?attachment
    use the right-handed screw rule. • calculate the vector product of two givenvectors. • ... The angle is chosen to lie between 0 and π. See Figure 40. ... The moment is M = r F =. i j k12 1 53 4 5. = ... 2. Find the vector product of p = 2i 3j...

  • The Straight Line�� ��2.5 IntroductionProbably the most important functi…

    https://sheffield.ac.uk/media/31936/download?attachment
    Example 10Plot the graph of the linear function y = f(x) = 4x 3. ... So, the points (0,3) and (2, 5) can be plotted and joined. ... If a is zero the lineis horizontal, that is its gradient is zero. ... Calculate the gradient of the line joining...

  • The Circle�� ��2.6 IntroductionA circle is one of the ...

    https://sheffield.ac.uk/media/31935/download?attachment
    In coordinate geometry terms suppose (x, y) denotes the coordinates of a point. ... Your solution. HELM (2008):Section 2.6: The Circle. 51. Answer. x. y. ... Consider again the equation of the circle, centre (3,4) of radius 2:. ... or. x2 y2 2x0x...

  • ® The HyperbolicFunctions �� ��6.2 IntroductionThe hyperbolic functions…

    https://sheffield.ac.uk/media/31954/download?attachment
    x2 1. 2(3x 3x). This is the even part of f(x). ... The graphs of cosh x and sinh x are shown in Figure 4. ... a) First, express cosh2 x in terms of the exponential functions ex, ex:. ... The most commonly used arelisted in the following Key Point....