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... (n, x) in the integers n > 0 and x > 3. Theorem 2: All the integer solutions of the equation (0 F„ = (*)are(H,x) = (l,3)and(2,3), (11) 4 = (J) are fax) = (1,3) and (3,4), (Hi) P„ = (f)is(»,x) = (l,3). 2. PROOF OF THEOREM 1 Let f/and Vbe binary recurrences specified above. We distinguish two cases. C ...
... (n, x) in the integers n > 0 and x > 3. Theorem 2: All the integer solutions of the equation (0 F„ = (*)are(H,x) = (l,3)and(2,3), (11) 4 = (J) are fax) = (1,3) and (3,4), (Hi) P„ = (f)is(»,x) = (l,3). 2. PROOF OF THEOREM 1 Let f/and Vbe binary recurrences specified above. We distinguish two cases. C ...
SummerLecture15.pdf
... In the example of the airplane, the function f gives the altitude of the plane at time t. Since the plane has an altitude at all times between 9:00 AM and 9:15 AM, the function is continuous on the interval [9:00 AM, 9:15 AM]. Using the designations from the formal statement of the theorem, a = 9 : ...
... In the example of the airplane, the function f gives the altitude of the plane at time t. Since the plane has an altitude at all times between 9:00 AM and 9:15 AM, the function is continuous on the interval [9:00 AM, 9:15 AM]. Using the designations from the formal statement of the theorem, a = 9 : ...