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LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 30. LaTeX Font Info: ... okay on input line 30. LaTeX Warning: No \author given. [1 ] (./introduction_v2.tex) (./verification_v2.tex [1]) (./sn_ia_v_and_v_v2.tex LaTeX Warning: Citation `woosley2004' on page 2 undefined on input line 39. LaTeX Warning: Citation `kuhlen2006' on page 2 undefined on input line 39. [2] LaTeX Warning: Citation `brown2005' on page 3 undefined on input line 70. ! Undefined control sequence. \lesssim l.105 modest ($\lesssim 1$ \%) and therefore couple weakly to the SN Ia ? LaTeX Warning: Citation `jordan2007' on page 3 undefined on input line 117. LaTeX Warning: Citation `meakin2007' on page 3 undefined on input line 117. LaTeX Warning: Citation `fryxell2000' on page 3 undefined on input line 118. LaTeX Warning: Citation `meakin2007' on page 3 undefined on input line 120. LaTeX Warning: Citation `kasen2007' on page 3 undefined on input line 123. ! Undefined control sequence. \lesssim l.164 ...output that we will require are $\lesssim $ 10\% in $\enuc$ ? ! Undefined control sequence. \lesssim l.165 and $\nmass$, and $\lesssim $ 30\% RMS in light curves. ? [3] LaTeX Warning: Citation `jha2006' on page 4 undefined on input line 237. ) [4] (./predictive_science_v_and_v_v2.tex Overfull \hbox (0.94069pt too wide) in paragraph at lines 44--52 []\OT1/cmr/bx/n/10 Sparsely Sam-pled Re-sponse Sur-face. \OT1/cmr/m/n/10 The re -sponse sur-face -- which is the pre-dicted time-dependent [] LaTeX Warning: Citation `dagostini1995' on page 5 undefined on input line 69. LaTeX Warning: Citation `drell2000' on page 5 undefined on input line 69. LaTeX Warning: Citation `jaynes2003ptl' on page 5 undefined on input line 69. [5] LaTeX Warning: Citation `dunteman1994pca' on page 6 undefined on input line 114 . LaTeX Warning: Citation `stein1999isd' on page 6 undefined on input line 138. LaTeX Warning: Citation `2004AIPC..707..330L' on page 6 undefined on input line 178. LaTeX Warning: Citation `2003sca..book...57L' on page 6 undefined on input line 178. 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