From 2a5e5424b4d3913c4046369e7d6961ee544c7125 Mon Sep 17 00:00:00 2001 From: Prashant-Shekhar-Rao <139104389+Prashant-Shekhar-Rao@users.noreply.github.com> Date: Tue, 20 Feb 2024 09:31:45 +0530 Subject: [PATCH] 2.7.13 changed an equality to a inequality 2.7.13 changed an equality to a inequality. We are using triangle inequality but the symbol there was for equality. built the pdf --- build/main.pdf | Bin 1173405 -> 1097062 bytes chapters/chapter2/chapter2-7.tex | 6 +++--- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/build/main.pdf b/build/main.pdf index c71484d77817d56decb41cb43d0fc99945448047..d724c9e1f1f732534e3204ae9ef1115dcfe3bf83 100644 GIT binary patch literal 1097062 zcmc${2RxPS|2U3Pb_l7^5u(M}!^jRv*;^S2Ws{Yal2sw1G*mJoTZA-Zl~NQXt4PC^ zP$B>OzH&Op=+WnS`u_gU>-8Mx-1jx!*Lz*>bzO;QDsA7262~!#JbO|3iV2HABAhG_ zFiA@zByUX=~ABW%%2l&Gh{s5g_;cspm$@39^1Du<+mAjpj zqc}<&O${CjwGezd@R&~U2bgRYkecvgFe!KpfVBJ76nt}pe}W}|cHkLkOaT*xUKCEu zEI4rs!TB3J%ER+}!5?61%0kG922b|G4aiRv;UAQS&hSsLGyu0d{1bcwOZ&MN_!-rL z@QW@8J8MCtg%(5s15D)hYhD-l8z4Ug469#nK|AtN{tp(1MlQNI9QESRnBOiAumxBg zKq>$haEU0uC;UNP$QjaWO2LCry*$s~X`T=5rvA|DqzeUkD2i5wtj- zdfUJ*sG8@@M#c=_X#gNVG2mJNlQ#_AtX32{Q@DZh41n+WOQB&GSIq=!pm7VTW=$9f zFb5dk`4_^$GXMq!^|O!*+Rw60)Zos4m%(w1Yi;7JMJ}kdm0-XCyc8}6j0gCDOadLa 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\frac{\epsilon}{2\abs{b_1}}$, which means we have the Cauchy Criterion for $\sum x_ny_n$, and therefore it converges. } -} \ No newline at end of file +}

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