# Tagged Questions

Homework questions are welcome as long as they are asked honestly, explain the problem, and show sufficient effort. Please do not use this as the only tag for a question. For the answers on homework questions, helpful hints or instructions are preferred to a complete solution. Please do not add ...

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### Using Combinators in Lambda Calculus

K $\equiv$ $\lambda$xy.x S $\equiv$ $\lambda$xyz.((xz)(yz)) Prove that the identify function I $\equiv$ $\lambda$x.x is equivalent to ((S K) K) I have no clue where to even start for ...
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### Covariance of Sum and Differences of Dice Values

Question: A fair die is rolled twice (independently). Let X 1 and X 2 be the numbers resulting from the first and second rolls, respectively. Define Y=X 1 +X 2 and Z=4⋅X 1 −X 2 . Find the ...
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### Proving a relation is transitive

I am trying to understand transitive relations. I understand given that a set may have $\{(a,b)(b,c)\}$ it must contain $(a,c)$ for it to be transitive. But for longer sets I am getting confused in ...
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### Identify the basic function f(x)

Given $f(x) = \sqrt x$, $g(x)=4\sqrt{x+2}-7$ Describe the sequence of transformations from f to g.
Suppose that $F$ is continuously differentiable, with domain and range nonempty open set in $\mathbb{R}^n$, and that the derivative matrix of $F$ is invertible at $a$. Use the Implicit function ...