From 0198c59c2db098cb1aacc11b092a3ea4e09270a3 Mon Sep 17 00:00:00 2001
From: Rushil Umaretiya <rushilwiz@gmail.com>
Date: Tue, 10 Oct 2023 20:46:48 -0400
Subject: [PATCH] fixed spacing

---
 hw/hw5/hw5.fdb_latexmk |   8 ++++----
 hw/hw5/hw5.log         |   4 ++--
 hw/hw5/hw5.pdf         | Bin 190827 -> 190913 bytes
 hw/hw5/hw5.synctex.gz  | Bin 31178 -> 31277 bytes
 hw/hw5/hw5.tex         |   4 ++--
 5 files changed, 8 insertions(+), 8 deletions(-)

diff --git a/hw/hw5/hw5.fdb_latexmk b/hw/hw5/hw5.fdb_latexmk
index f661ee4..f29065a 100644
--- a/hw/hw5/hw5.fdb_latexmk
+++ b/hw/hw5/hw5.fdb_latexmk
@@ -1,7 +1,7 @@
 # Fdb version 4
-["pdflatex"] 1696985014 "/home/rushil/school/math/hw/hw5/hw5.tex" "hw5.pdf" "hw5" 1696985015 0
+["pdflatex"] 1696985184 "/home/rushil/school/math/hw/hw5/hw5.tex" "hw5.pdf" "hw5" 1696985184 0
   "/etc/texmf/web2c/texmf.cnf" 1693368362 475 c0e671620eb5563b2130f56340a5fde8 ""
-  "/home/rushil/school/math/hw/hw5/hw5.tex" 1696985014 10799 b4ca240681f07459cc3314b003c3e413 ""
+  "/home/rushil/school/math/hw/hw5/hw5.tex" 1696985183 10795 c3ecd31e4c963c0a6444d89b0c163c0e ""
   "/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 ""
@@ -152,8 +152,8 @@
   "/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 ""
-  "hw5.aux" 1696985015 195 5f40eaf408ff79ba46902478f1cd62f4 "pdflatex"
-  "hw5.tex" 1696985014 10799 b4ca240681f07459cc3314b003c3e413 ""
+  "hw5.aux" 1696985184 195 5f40eaf408ff79ba46902478f1cd62f4 "pdflatex"
+  "hw5.tex" 1696985183 10795 c3ecd31e4c963c0a6444d89b0c163c0e ""
   (generated)
   "hw5.aux"
   "hw5.log"
diff --git a/hw/hw5/hw5.log b/hw/hw5/hw5.log
index aebeee3..d9280d1 100644
--- a/hw/hw5/hw5.log
+++ b/hw/hw5/hw5.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)  10 OCT 2023 20:43
+This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2023.8.30)  10 OCT 2023 20:46
 entering extended mode
  restricted \write18 enabled.
  file:line:error style messages enabled.
@@ -504,7 +504,7 @@ Here is how much of TeX's memory you used:
  1141 hyphenation exceptions out of 8191
  102i,14n,104p,445b,318s stack positions out of 10000i,1000n,20000p,200000b,200000s
 </usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmbx9.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr5.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr9.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsl10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy7.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmti12.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msam10.pfb></usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pfb>
-Output written on hw5.pdf (10 pages, 190827 bytes).
+Output written on hw5.pdf (10 pages, 190913 bytes).
 PDF statistics:
  125 PDF objects out of 1000 (max. 8388607)
  78 compressed objects within 1 object stream
diff --git a/hw/hw5/hw5.pdf b/hw/hw5/hw5.pdf
index 522c590744f6df40ec83a1f703dc10c4e6e37ac0..2b141cf6628f53459d72c4ba2e4fff101b73cdd0 100644
GIT binary patch
delta 1337
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diff --git a/hw/hw5/hw5.synctex.gz b/hw/hw5/hw5.synctex.gz
index de2f0a6dc8e3012f8f9b710eac88eff3e4d58c49..16acb4f5b2b9f17407da308dcdd1a4bab4551948 100644
GIT binary patch
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diff --git a/hw/hw5/hw5.tex b/hw/hw5/hw5.tex
index e4e32af..df873a6 100644
--- a/hw/hw5/hw5.tex
+++ b/hw/hw5/hw5.tex
@@ -283,9 +283,9 @@ Determine whether each of these functions from
 Consider these functions from the set of students in a discrete mathematics class. Under what conditions is the function one-to-one if it assigns to a student his or her
 
 \begin{enumerate}[a)]
-    \item \textbf{mobile phone number.}\\
+    \item \textbf{mobile phone number.}
     The function is one-to-one if no students share a phone number, which is expected.
-    \item \textbf{student identification number.}\\
+    \item \textbf{student identification number.}
     The function is one-to-one if no students share an ID number, which is expected.
     \item \textbf{final grade in the class.}
     The function is one-to-one iff no students share a final grade in the class.