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1 My first set of exercises

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My first set of exercises

EXAMPLE 1.1 Prove that 12∆(fijfij) = ∇kfij + fijfk[2∇iRjk −

∇kRij]

SOLUTION From . . .

EXAMPLE 1.2 Prove that Paulinho is smart.

SOLUTION All ducks are smart. Paulinho is a duck. Therefore, Paulinho is smart.

EXAMPLE 1.3 Prove that Paulinho is smart.

SOLUTION All ducks are smart. Paulinho is a duck. Therefore, Paulinho is smart.

2

My second set of exercises

EXAMPLE 2.1 Prove that Paulinho is smart.

SOLUTION All ducks are smart. Paulinho is a duck. Therefore, Paulinho is smart.

EXAMPLE 2.2 Prove that Paulinho is smart.

SOLUTION All ducks are smart. Paulinho is a duck. Therefore, Paulinho is smart.

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