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Show that in the subgroup-intermediate subfield given in the fundamental theorem of Galois Theory, the subfield corresponding to the intersection of two subgroups H1 "and " H2 is the subfield generated by the corresponding intermediate fields ("Inv" H1 "and Inv" H2), and the intersection of two intermediate fields K1 and K2 corresponds to the subgroup generated by the corresponding subgroups "Gal" E/K1 and "Gal" E/K2.
It takes 3 seconds to flip a sandwich and 5 seconds to take one off or put one on the grill. What is the shortest amount of time needed to toast all 5 sandwiches?
A hemisphere of radius 5 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
A vector can be used to represent the path of a drill tip used to bore a deep mine shaft in Sudbury one quarter of the way to the centre of the Earth. Represent the vector using a directed line segment and Cartesian co-ordinates and describe which..
Justings Co. owned 80% of Evana Corp. During 2006, Justings sold to Evana land with a book value of $48,000. The selling price was $70,000.
The ends of a horizontal water tank are parabolic. The tank is 9 feet tall and 6 feet across at the top. Find the fluid force on a parabolic end of the tank if the tank is 5 feet full. Assume that the water weighs 62.4 pounds per cubic feet.
a) write a system of equations to model this problem b). graph this system and use the graph to estimate how much was invested in each fund?
An integer is called squarefree if it is not divisible by the square of a positive integer greater than 1. Find the number of squarefree positive integers less than 100.
what is the maximum length of the triangular flags, if they want to use a maximum of 180 square inches of cloth?
Sam has a farm with 40 cows and chickens. Together they have 136 legs. How many chickens are on the farm?
What is the probability that all the aces will appear before any of the tens? Compute Deck of cards probability
A ship sails north 450 km and then sails on a bearing of 320 for a distance of 400 1. how far is the ship away?
determine formulae for the coefficients.fourier series can be defined on other intervals besides -l le x le l. suppose
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