Recent content by aeronautical

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    Analysis of Hubbed Axial Flow Fan

    Hey everybody, I am about to make some simplistic fan analysis for a hubbed axial flow fan (Single stage). What makes me confused is if I should use the classical "one stage" approach for compressor design or if there is another way to do this?! My aim is to carry out a simplistic analysis of...
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    Show continuously uniform function

    Let F be a non-empty subset of a metric room (X,d) and define the function f: X→R through f(x)= inf_{y∈F} d(x,y)= inf {d(x,y):y ∈ F}. Please show that f is continuously uniform in the entire X. Please note that f(x)= inf_{y∈F} d(x,y) means that y∈F is written below the inf...it is hard to...
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    Tricky 10th grade Math Problem of 3 Equation

    Well I don't know how to begin solving this problem...can you pls help?
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    Tricky 10th grade Math Problem of 3 Equation

    Homework Statement Epidemic. Consider the following model of how an epidemic spreads through a population. First we will introduce some definitions: N = number of individuals in population Mk = the number of susceptible after k weeks Sk = number of infectious after k weeks Ik = the...
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    Convergence of f_{n} (x) = π*x*exp(-πx) on (0,∞)

    Is the Uniform convergence theorem a good approach?
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    Convergence of f_{n} (x) = π*x*exp(-πx) on (0,∞)

    Sequence converge uniformly? Homework Statement Define f_{n}: (0,∞) → R, through f_{n} (x) = π*x*exp(-πx), x > 0. Does the sequence converge uniformly in (0,∞) when n → ∞? f_{n} = f subscript n Can somebody please show me all the steps? Any ideas where i can start?
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    How to Solve a Difficult LP Problem?

    Homework Statement Solve the LP problem? Minimize -x_{1} - 5x_{2} + x_{3} when x_{1} + 3x_{2} + 3 x_{3} <= 4 - x_{1} - 2x_{2} + x_{3} >= -5 3x_{2} - x_{3} <= 3 x_{1}, x_{2}, x_{3} >= 0 Please explain how this process works (with all the steps), thanks. The Attempt at a...
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    Very tricky line of people problem

    Thanks...I have started to look at this problem from the beginning...and read some. Isn't the following a solution? My answer should be the product of of three numbers: N1 = the number of ways the people before the A3 B2 pairing can be arranged N2 = the number of ways the people after the A3...
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    How Do You Solve a Matrix Equation with Eigenvalues?

    Homework Statement Solve the matrix equation: [10 1 9 1 4 3 2 -1 3] X = 3X where X is a column matrix. Please show all the steps, thanks. The Attempt at a Solution I think the solution is X = kU, where k is any constant and U is the vector... yet not really sure how to...
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    Very tricky line of people problem

    I can follow you on what you wrote. The ordering of Bs are determined by As. So you mean to say that the number of possibilities are 11-6=5 possibities and the constraint brings that down to 5 minus 2 = 3 possibilities?
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    Very tricky line of people problem

    Thanks...well I am just confused why you say 'just one'. Cuz If i consider the second case it is 2. Cause I can put 5 balls into 11 slots...only two ways. And when i consider the union I know that the possibilities will be even less...how can i account for the number of possibilities is it only...
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    Very tricky line of people problem

    thanks for shedding some light, the problem is that i can't figure it out. i know that there is a way, i just never got into probability. I don't know how to solve this
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    Very tricky line of people problem

    Homework Statement Imagine that there are two lines of people standing by two different cashier spots (cashier 1 and cashier 2) in a department store. A_{1} stands first in line by cashier #1,and is followed accordingly by, A_{2}, A_{3}, A_{4}, A_{5}, A_{6}. In the same manner B_{1} stands...
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    Is This Expression a Tautology?

    im sorry but I am lost. this is very tricky. i don't understand this table
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    Is This Expression a Tautology?

    Homework Statement Determine if the following is a tautology: ((p → q) Ʌ (q → p) → (p Ʌ q) I don´t know how to show this. Can somebody pls show me all the steps