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1. Compare and contrast convergence almost surely and rth-order convergence.
2. "For modeling purposes specific distribution assumptions are indispensable if we need precise and sharp results. Results based on bounded moment conditions are naturally imprecise and blunt." Discuss
3. "For modeling purposes specific distribution assumptions are indispensable as testified by the Berry-Esseen result." Discuss.
The magnitude and direction of the total magnetic field at the origin.
A particle leaves the origin with an initial velocityof 2.37 m/s in the x direction, and moves with constantacceleration ax = -1.73 m/s2 and y = 3.20 m/s2. What is the particle's velocity at this time
a 5 mf capacitor and a 9 mf capacitor are connected in parallel to a 60 hz generator operating with an rms voltage of 120 v
At what temperature does a carbon resistor have a resistance of 995ohms, if it has a resistance of 1000 ohms at 20 degrees? What is its conductivity at the new temperature
A train moving at a constant speed of 58.0 km/h moves east for 32.0 min, then in a direction 46.0° east of due north for 24.0 min, and then west for 63.0 min. What is the average velocity of the train during this run?
An proton (m = 1.67 ´ 10-27 kg and q = 1.6 ´ 10-19 C) travelling at 2.7 × 105 ms-1 enters a magnetic field of 1.2 T at right angles to the direction of motion of the electron. What is the centripetal force on proton.
An asteroid is seen in opposition from Earth once every 1000 days. What is the sidereal orbital period of the asteroid? What is the length of the semimajor axis of the asteroids orbit?
Can a non-linear resistance device be made to seem linear by restricting the range of voltages as well as currents used? Think of the light bulb experiment. What might happen to the plot for a linear resistor
A spring-loaded gun, fired vertically, shoots a marble 9.2 straight up in the air. What is the marble's range if it is fired horizontally from 2.3 above the ground
A steam locomotive uses the back-and-forth motion of a drive rod to turn its 1.55 m diameter wheel. Each compete oscillation of the rod corresponds to one wheel revolution.What's the rod's oscillation frequency when the train is moving at 30 m/s ?
A gymnast whose mass is 50.0 kg swings back and forth on a 4.0m long rope. What is her velocity at the bottom of the swing
A house has a floor area of 102 m2 and an outside wall that has an area of 33 m2. Calculate the magnetic flux that passes through the floor
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