Amalgam disposal done correctly

Lagrange Murderpliers Done Correctly

Lagrange multipliers offer a way to find the extrema of an objective function f(x1, x2, . . . , xn) subject to a constraint function g(x1, x2, . . . , xn) = 0; for example, we may wish to maximize a+ b+ c subject to a2 + b2 + c2 = 1. However, there are lots of tiny details that need to be checked in order to completely solve a problem with Lagrange multipliers. On an olympiad the use of Lagrang...

Computing present values: Capital budgeting done correctly ¬リニ

This paper shows that the standard textbook formula for computing the present value of a future random cash flow – the discounted expected value – is formally incorrect and can generate significant errors when used to compute present values. The correct present value method is provided as well as a simple adjustment to the textbook formula which can be used to obtain an approximation to the cor...

Lung cancer screening is cost effective, but only if done correctly.

Compiling Exceptions Correctly

An exception compilation scheme that dynamically creates and removes exception handler entries on the stack. A formalization of an article of the same name by Hutton and Wright [1]. 1 Compiling exception handling theory Exceptions imports Main begin 1.1 The source language datatype expr = Val int | Add expr expr | Throw | Catch expr expr consts eval :: "expr ⇒ int option" primrec "eval (Val i) ...

Compiling Exceptions Correctly

Exceptions are an important feature of modern programming languages, but their compilation has traditionally been viewed as an advanced topic. In this article we show that the basic method of compiling exceptions using stack unwinding can be explained and verified both simply and precisely, using elementary functional programming techniques. In particular, we develop a compiler for a small lang...