Other Math

Suppose our stream consists of the integers 3, 1, 4, 1, 5, 9, 2, 6, 5. Our hash functions will all be of the form h(x) = ax+b mod 32 for some a and b. You should treat the result as a 5-bit binary integer. Determine the tail length for each stream element and the resulting estimate of the number of distinct elements if the hash function is

Suppose our stream consists of the integers 3, 1, 4, 1, 5, 9, 2, 6, 5. Our hash functions will all be of the form h(x) = ax+b mod 32 for some a and b. You should treat the result as a 5-bit binary integer. Determine the tail length for each stream element and the …

Suppose our stream consists of the integers 3, 1, 4, 1, 5, 9, 2, 6, 5. Our hash functions will all be of the form h(x) = ax+b mod 32 for some a and b. You should treat the result as a 5-bit binary integer. Determine the tail length for each stream element and the resulting estimate of the number of distinct elements if the hash function is Read More »

6) Prove that gcd(a,b)×gcd(a,c)×bcd(b,c)≥(gcd(a,b,c)) 3 for all positive integers, a,b , and c . Intuitively, without proof (though if you can provide a proof that would be great), determine the situations where the two sides of this equation are equal. (Note: The originally posed question is relatively easy, so be looking for straight-forward observations about the property of the ged function as opposed to something detailed and esoteric.)

EXPERT ANSWER Let gcd(a,b,c) = m.Therefore, m divides a, b and c.Then, gcd(a,b) = mx, gcd(b,c) = my, gcd(a,c) = mz where x, y, z are all greater than or equal to 1. Thus, gcd(a,b)xgcd(b,c)x gcd(a,c) = mxmymz = xyzm3 And [gcd(a,b,c)]3 = m3. xyzm3 is greater than or equal to m3 Therefore, gcd(a,b)xgcd(b,c)x gcd(a,c) …

6) Prove that gcd(a,b)×gcd(a,c)×bcd(b,c)≥(gcd(a,b,c)) 3 for all positive integers, a,b , and c . Intuitively, without proof (though if you can provide a proof that would be great), determine the situations where the two sides of this equation are equal. (Note: The originally posed question is relatively easy, so be looking for straight-forward observations about the property of the ged function as opposed to something detailed and esoteric.) Read More »

Two atomic clocks are carefully synchronized. One remains in New York, and the other is loaded on an airliner that travels at an average speed of 250m/s and then returns to New York. When the plane returns, the elapsed time on the clock that stayed behind is 4.00h .

Two Atomic Clocks Are Carefully Synchronized. One Remains In New York, And The Other Is Loaded On An Airliner That Travels At An Average Speed Of 250m/S And Then Returns To New York. When The Plane Returns, The Elapsed Time On The Clock That Stayed Behind Is 4.00h . a) By how much will the …

Two atomic clocks are carefully synchronized. One remains in New York, and the other is loaded on an airliner that travels at an average speed of 250m/s and then returns to New York. When the plane returns, the elapsed time on the clock that stayed behind is 4.00h . Read More »

2.25. How do college students spend their day? The 2016 American Time Use Survey for college students found the following results: Activity Percentage Eating and Drinking 4 % Educational Activities 14 % Grooming 3% Leisure and Sports 17 % Sleepiong 37 % Traveling 6 % Working and Related 10 % Activities Other 9% Construct a bar chart, a pie chart, and a Pareto chart. b. Which graphical method do you think is best for portraying these data? C. What conclusions can you reach concerning how college students spend their day? a. C.

EXPERT ANSWER b. The best graphical method for portraying these data is the Pareto Chart which arranges the data in descending order and then does the plotting in the form of bars and also contains a line representing the cumulative percentage of defects. ——————————– c. On the analysis of data, I have reached the below conclusions:i. Majority of the …

2.25. How do college students spend their day? The 2016 American Time Use Survey for college students found the following results: Activity Percentage Eating and Drinking 4 % Educational Activities 14 % Grooming 3% Leisure and Sports 17 % Sleepiong 37 % Traveling 6 % Working and Related 10 % Activities Other 9% Construct a bar chart, a pie chart, and a Pareto chart. b. Which graphical method do you think is best for portraying these data? C. What conclusions can you reach concerning how college students spend their day? a. C. Read More »