diff --git a/hw/hw3/hw3.fdb_latexmk b/hw/hw3/hw3.fdb_latexmk index dd0ee9d..5450afb 100644 --- a/hw/hw3/hw3.fdb_latexmk +++ b/hw/hw3/hw3.fdb_latexmk @@ -1,7 +1,7 @@ # Fdb version 4 -["pdflatex"] 1695319522 "/home/rushil/school/math/hw/hw3/hw3.tex" "hw3.pdf" "hw3" 1695319523 0 +["pdflatex"] 1695341062 "/home/rushil/school/math/hw/hw3/hw3.tex" "hw3.pdf" "hw3" 1695341063 0 "/etc/texmf/web2c/texmf.cnf" 1693368362 475 c0e671620eb5563b2130f56340a5fde8 "" - "/home/rushil/school/math/hw/hw3/hw3.tex" 1695319522 14989 87bc0b0b38513df51e06cb1a48f3c28e "" + "/home/rushil/school/math/hw/hw3/hw3.tex" 1695341062 14932 ba2cd31c7d8fd84d8b6e669b734a5966 "" "/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 "" "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df "" "/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 "" @@ -150,8 +150,8 @@ "/usr/share/texmf/web2c/texmf.cnf" 1681034085 39561 34c98e380bf7c7201ee6a7909aff625a "" "/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1693368379 4623455 fa0568a71dd9a288d6c226ee477506c6 "" "/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1693368408 7880218 5644a8bb2704ddc1060e0c139ce5389a "" - "hw3.aux" 1695319523 195 4c8818449daf66d8271d10ab24c41f38 "pdflatex" - "hw3.tex" 1695319522 14989 87bc0b0b38513df51e06cb1a48f3c28e "" + "hw3.aux" 1695341062 195 4c8818449daf66d8271d10ab24c41f38 "pdflatex" + "hw3.tex" 1695341062 14932 ba2cd31c7d8fd84d8b6e669b734a5966 "" (generated) "hw3.aux" "hw3.log" diff --git a/hw/hw3/hw3.log b/hw/hw3/hw3.log index b9cec8c..b65feed 100644 --- a/hw/hw3/hw3.log +++ b/hw/hw3/hw3.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30) 21 SEP 2023 14:05 +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30) 21 SEP 2023 20:04 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. @@ -555,22 +555,22 @@ Underfull \hbox (badness 10000) in paragraph at lines 324--326 [] [9] -Underfull \hbox (badness 10000) in paragraph at lines 343--345 +Underfull \hbox (badness 10000) in paragraph at lines 342--344 [] -Underfull \hbox (badness 10000) in paragraph at lines 357--360 +Underfull \hbox (badness 10000) in paragraph at lines 356--359 [] -Underfull \hbox (badness 10000) in paragraph at lines 360--361 +Underfull \hbox (badness 10000) in paragraph at lines 359--360 [] -Underfull \hbox (badness 10000) in paragraph at lines 367--368 +Underfull \hbox (badness 10000) in paragraph at lines 366--367 [] @@ -584,7 +584,7 @@ Here is how much of TeX's memory you used: 1141 hyphenation exceptions out of 8191 102i,12n,104p,445b,374s stack positions out of 10000i,1000n,20000p,200000b,200000s -Output written on hw3.pdf (10 pages, 172123 bytes). +Output written on hw3.pdf (10 pages, 172077 bytes). PDF statistics: 110 PDF objects out of 1000 (max. 8388607) 69 compressed objects within 1 object stream diff --git a/hw/hw3/hw3.pdf b/hw/hw3/hw3.pdf index b5c4849..d7ae0f9 100644 Binary files a/hw/hw3/hw3.pdf and b/hw/hw3/hw3.pdf differ diff --git a/hw/hw3/hw3.synctex.gz b/hw/hw3/hw3.synctex.gz index ec50976..a6015b4 100644 Binary files a/hw/hw3/hw3.synctex.gz and b/hw/hw3/hw3.synctex.gz differ diff --git a/hw/hw3/hw3.tex b/hw/hw3/hw3.tex index 5fcb3a6..1232428 100644 --- a/hw/hw3/hw3.tex +++ b/hw/hw3/hw3.tex @@ -328,7 +328,6 @@ Prove that there are no solutions in integers \(x\) and \(y\) to the equation \( 2(0)^2 + 5(1)^2 &= 0 + 5 = 5 &\neq 14&&(0,1)\\ 2(1)^2 + 5(0)^2 &= 2 + 0 = 2 &\neq 14&&(1,0)\\ 2(1)^2 + 5(1)^2 &= 2 + 5 = 7 &\neq 14&&(1,1)\\ - 2(1)^2 + 5(2)^2 &= 2 + 20 = 22 &\neq 14&&(1,2)\\ 2(2)^2 + 5(0)^2 &= 8 + 0 = 8 &\neq 14&&(2,0)\\ 2(2)^2 + 5(1)^2 &= 8 + 5 = 13 &\neq 14&&(2,1)\\ \end{align*}