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1. Why is gcd (n, n +1) = 1 for two consecutive integers n and n+1?2. using Fermat's theorem, find 3^201 mod 11.3. it can be shown that if gcd (m, n) = 1 then φ(mn) = φ(m) φ(n). Using this property and the property that φ(p) = p -1 for prime, it is straightforward to determine the value of φ(n) for any n. Determine the following:
Φ(41); φ(27); φ(231); φ(440);
Calculate the following with the modulo polynomial m(x) = x8+x4+x3+x+1 03x45 27x27 34x50
Write an algorithm to classify the edges of a directed graph G into the four categories: tree edge, back edge, forward edge and cross edge (defined in 22.3 Depth First Search - Classification of edges).
In your comparison, be sure to include an explanation of one way hashtables are similar to your selected data structure and one way in which they are different.
1. Identify the four primary layers in the functional view of OS X ? 5. What is Darwin ? Identify Darwin's two basic layers ?
You have been hired by a local company to consult with its security staff on encryption techniques. The staff has not been formally trained, so you will be demonstrating the principles of encryption through some simple exercises.Use a 2-stage transpo..
Snowman description: The outline of the snowman should be in black. The snowman's body should be made of 3 circles. Each circle should be centered above the one below it (except the bottom circle, which can be located anywhere).
Compare and contrast INTEL 975X and AMD AMD580X chipsets
1- IS/IT Supporting Decision Making. Be sure to answer each part (20 pts.) a. Provide a detailed, clear explanation of the differences between decision support systems and management information systems.Reflect on ALL you learned about decision s..
Mariko, age 2, prefers a daily diet of rice or noodles that have been drenched in soy sauce. She will take a few bites of tofu when her mother insists, but refuses meats, fish, and most vegetable. What nutrients is she missing? What health concern..
Give an asymptotic formula for each of the recurrence equations given below, using big "Θ" rather than just big "O" for better results when possible.
Explain what type of architecture the new payroll application
If your demand is 50,000 Woods chips per month and 25,000 Markonchips per month, and your facility can fabricate 150 wafers a month, how many wafersshould you make of each chip?
1)a )Explain the role of banks on the money supply. What is money multiplier? Explain.b) If the Central Bank increases the required reserve ratio what will happen to interest rate? Using appropriate diagram, show equilibrium in the money market.
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