MATH103-FINAL-EXAM
... 30.) The bill for the repair of your car was itemized into two categories - parts and labor. The total bill was $210.00. The parts totaled $90.00. If the rate for the mechanic was $45.00/hour. a. 3pts. Create a mathematical model (equation) to determine the number of hours the mechanic worked on you ...
... 30.) The bill for the repair of your car was itemized into two categories - parts and labor. The total bill was $210.00. The parts totaled $90.00. If the rate for the mechanic was $45.00/hour. a. 3pts. Create a mathematical model (equation) to determine the number of hours the mechanic worked on you ...
The Weil Pairing on Elliptic Curves and Its Cryptographic Applications
... the following properties for all P, Q, R ∈ E: (a) Identity: P + O = O + P = P . (b) Inverse: P + (−P ) = O. (c) Associative: (P + Q) + R = P + (Q + R). (d) Commutative: P + Q = Q + P . Thus, E with the addition operation is an abelian group. Proof The proof of (a) and (b) follow from the proof of Th ...
... the following properties for all P, Q, R ∈ E: (a) Identity: P + O = O + P = P . (b) Inverse: P + (−P ) = O. (c) Associative: (P + Q) + R = P + (Q + R). (d) Commutative: P + Q = Q + P . Thus, E with the addition operation is an abelian group. Proof The proof of (a) and (b) follow from the proof of Th ...
lecture2
... Steps 1–3 require no work for this submatrix, and we have reached an echelon form of the full matrix. We perform one more step to obtain the reduced echelon form. STEP 5: Beginning with the rightmost pivot and working upward and to the left, create zeros above each pivot. If a pivot is not 1, ma ...
... Steps 1–3 require no work for this submatrix, and we have reached an echelon form of the full matrix. We perform one more step to obtain the reduced echelon form. STEP 5: Beginning with the rightmost pivot and working upward and to the left, create zeros above each pivot. If a pivot is not 1, ma ...
