Prove or disprove that the following inference rules for functional dependencies. A proof can be made by using inference rules IR1 through IR3. A disproof should be done by showing a relational instance that refutes the conditions and functional dependencies in the left hand side of the inference rule but do not satisfy the conditions or dependencies in the right hand side:

a) {W->Y, X->Z} |= {WX->Y}
b) {X->Y} andImage for Question: Prove or disprove the following inference rules for functional dependencies. A proof can be made eit|= {X->Z}

c) {X->Y, X->W, WY->Z} |= {X->Z}

d) {XY->Z, Y->W} |= {XW->Z}

e) {X->Z, Y->Z} |= {X->Y}

f) {X->Y, XY->Z} |= {X->Z}

Consider this data sequence: "3 11 5 5 5 2 4 6 6 7 3 -8". any value that is the same as the immediately preceding value is considered a consecutive duplicate. in this example, there are three such consecutive duplicates: the 2nd and 3rd 5s and the second 6. note that the last 3 is not a consecutive duplicate because it was preceded by a 7. write some code that uses a loop to read such a sequence of non-negative integers , terminated by a negative number. when the code finishes executing, the number of consecutive duplicates encountered is printed. in this case, 3 would be printed. assume the availability of a variable, stdin, that references a scanner object associated with standard input. that is, stdin = new scanner(system.in); is given.

Howard is designing a chair swing ride. the swing ropes are 5 meters long, and in full swing they tilt in an angle of 29° outside chairs to be 2.75 m above the ground in full swing.

Linux is distributed under gnu gpl. why is this important? a. it ensures that only torvalds can profit from the sale of linux b. it prevents unknowledgeable users from downloading programs they don't know how to operate. c. it provides protection for the developers who created linux. d. it states that anyone can copy, modify, and share the program if changes are made public.