# HG changeset patch # User Rob Beezer # Date 1352940925 28800 # Node ID 9121367abd47d5c8523d0992b7063d1cc589a126 # Parent 28195100e358a95852da0b5c625bb8cbab9ec962 LaTeX/XML formatting in Solution LT.C43 (Duncan Bennett) diff --git a/changes.txt b/changes.txt --- a/changes.txt +++ b/changes.txt @@ -52,6 +52,7 @@ Typo: Section IVLT, after Definition IVS, "given", "a" reversed (Kyle Whitcomb) Typo: LaTeX rules for fill-in-the-blank exercises (Julie Nelson) Typo: LaTeX/XML formatting in Solution IVLT.C20 (Julie Nelson) +Typo: LaTeX/XML formatting in Solution LT.C43 (Duncan Bennett) MAJOR SOURCE FORMAT CHANGE ~~~~~~~~~~~~~~~~~~~~~~~~~~ diff --git a/src/section-LT.xml b/src/section-LT.xml --- a/src/section-LT.xml +++ b/src/section-LT.xml @@ -1861,7 +1861,7 @@ Does this linear transformation seem familiar? The preimage $\preimage{T}{0}$ is the set of all polynomials $a + bx + cx^2 + dx^3$ so that -$\lt{T}{a + bx + cx^2 + dx^3} = 0$. Thus, $b + 2cx + 3dx^2 = 0$, where the $0$ represents the zero polynomial. In order to satisfy this equation, we must have $b = 0$, $c = 0$, and $d = 0$. Thus, $\preimage{T}{0}$ is precisely the set of all constant polynomials polynomials of degree 0. Symbolically, this is $\preimage{T}{0} = \setparts{a}{a\in\complexes}$.\\ +$\lt{T}{a + bx + cx^2 + dx^3} = 0$. Thus, $b + 2cx + 3dx^2 = 0$, where the $0$ represents the zero polynomial. In order to satisfy this equation, we must have $b = 0$, $c = 0$, and $d = 0$. Thus, $\preimage{T}{0}$ is precisely the set of all constant polynomials polynomials of degree 0. Symbolically, this is $\preimage{T}{0} = \setparts{a}{a\in\complexes}$.

Does this seem familiar? What other operation sends constant functions to 0?