HEADmaster

1 files changed, 64 insertions, 57 deletions

diff --git a/šola/ana1/kolokvij2.lyx b/šola/ana1/kolokvij2.lyx
index a057288..4d94e99 100644
--- a/šola/ana1/kolokvij2.lyx
+++ b/šola/ana1/kolokvij2.lyx
@@ -1,5 +1,5 @@
-#LyX 2.3 created this file. For more info see http://www.lyx.org/
-\lyxformat 544
+#LyX 2.4 created this file. For more info see https://www.lyx.org/
+\lyxformat 620
 \begin_document
 \begin_header
 \save_transient_properties true
@@ -17,11 +17,11 @@
 enumitem
 theorems-ams
 \end_modules
-\maintain_unincluded_children false
+\maintain_unincluded_children no
 \language slovene
 \language_package default
-\inputencoding auto
-\fontencoding global
+\inputencoding auto-legacy
+\fontencoding auto
 \font_roman "default" "default"
 \font_sans "default" "default"
 \font_typewriter "default" "default"
@@ -29,7 +29,9 @@ theorems-ams
 \font_default_family default
 \use_non_tex_fonts false
 \font_sc false
-\font_osf false
+\font_roman_osf false
+\font_sans_osf false
+\font_typewriter_osf false
 \font_sf_scale 100 100
 \font_tt_scale 100 100
 \use_microtype false
@@ -63,7 +65,9 @@ theorems-ams
 \suppress_date false
 \justification false
 \use_refstyle 1
+\use_formatted_ref 0
 \use_minted 0
+\use_lineno 0
 \index Index
 \shortcut idx
 \color #008000
@@ -86,42 +90,20 @@ theorems-ams
 \papercolumns 1
 \papersides 1
 \paperpagestyle default
+\tablestyle default
 \tracking_changes false
 \output_changes false
+\change_bars false
+\postpone_fragile_content false
 \html_math_output 0
 \html_css_as_file 0
 \html_be_strict false
+\docbook_table_output 0
+\docbook_mathml_prefix 1
 \end_header
 
 \begin_body
 
-\begin_layout Title
-List s formulami za 2.
- kolokvij Analize 1
-\end_layout
-
-\begin_layout Author
-
-\noun on
-Anton Luka Šijanec
-\end_layout
-
-\begin_layout Date
-\begin_inset ERT
-status open
-
-\begin_layout Plain Layout
-
-
-\backslash
-today
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
 \begin_layout Standard
 \begin_inset ERT
 status open
@@ -161,15 +143,18 @@ begin{multicols}{2}
 \begin_inset Formula $\log_{a}1=0$
 \end_inset
 
-, 
+,
+ 
 \begin_inset Formula $\log_{a}a=1$
 \end_inset
 
-, 
+,
+ 
 \begin_inset Formula $\log_{a}a^{x}=x$
 \end_inset
 
-, 
+,
+ 
 \begin_inset Formula $a^{\log_{a}x}=x$
 \end_inset
 
@@ -187,7 +172,8 @@ begin{multicols}{2}
 \begin_inset Formula $D=b^{2}-4ac$
 \end_inset
 
-, 
+,
+ 
 \begin_inset Formula $x_{1,2}=\frac{-b\pm\sqrt{D}}{2a}$
 \end_inset
 
@@ -205,7 +191,8 @@ begin{multicols}{2}
 \begin_inset Formula $zw=\left(ac-bd\right)+\left(ad+bc\right)i$
 \end_inset
 
-, 
+,
+ 
 \begin_inset Formula $\vert zw\vert=\vert z\vert\vert w\vert$
 \end_inset
 
@@ -241,7 +228,8 @@ begin{multicols}{2}
 \begin_inset Formula $z^{2}=a^{2}+2abi-b^{2}$
 \end_inset
 
-, 
+,
+ 
 \begin_inset Formula $z^{3}=a^{3}-3ab^{2}+\left(3a^{2}b-b^{3}\right)i$
 \end_inset
 
@@ -259,7 +247,8 @@ begin{multicols}{2}
 \begin_inset Formula $z^{n}=r^{3}\left(\cos\left(3\phi\right)+i\sin\left(3\phi\right)\right)$
 \end_inset
 
-, 
+,
+ 
 \begin_inset Formula $\phi=\arctan\frac{\Im z}{\Re z}$
 \end_inset
 
@@ -316,7 +305,8 @@ je konv.
 \end_layout
 
 \begin_layout Standard
-Vrsta je konv., če je konv.
+Vrsta je konv.,
+ če je konv.
  njeno zap.
  delnih vsot.
 \end_layout
@@ -343,7 +333,8 @@ n+1; & q=1
 \series bold
 Primerjalni krit.
 \series default
-: 
+:
+ 
 \begin_inset Formula $\sum_{1}^{\infty}a_{k}$
 \end_inset
 
@@ -389,11 +380,13 @@ majoranta
 \series bold
 Kvocientni
 \series default
-: 
+:
+ 
 \begin_inset Formula $a_{k}>0$
 \end_inset
 
-, 
+,
+ 
 \begin_inset Formula $D_{n}\coloneqq\frac{a_{n}+1}{a_{n}}$
 \end_inset
 
@@ -419,11 +412,13 @@ Kvocientni
 \begin_inset Formula $\exists D\coloneqq\lim_{n\to\infty}D_{n}$
 \end_inset
 
-: 
+:
+ 
 \begin_inset Formula $\vert D\vert<1\Longrightarrow$
 \end_inset
 
-konv., 
+konv.,
+ 
 \begin_inset Formula $\vert D\vert>1\Longrightarrow div.$
 \end_inset
 
@@ -435,7 +430,9 @@ konv.,
 \series bold
 Korenski
 \series default
-: Kot Kvocientni, le da 
+:
+ Kot Kvocientni,
+ le da 
 \begin_inset Formula $D_{n}\coloneqq\sqrt[n]{a_{n}}$
 \end_inset
 
@@ -447,7 +444,8 @@ Korenski
 \series bold
 Leibnizov
 \series default
-: 
+:
+ 
 \begin_inset Formula $a_{n}\to0\Longrightarrow\sum_{1}^{\infty}\left(\left(-1\right)^{k}a_{k}\right)<\infty$
 \end_inset
 
@@ -476,11 +474,13 @@ Pri konv.
 \begin_inset Formula $x$
 \end_inset
 
-, pri enakomerni ni.
+,
+ pri enakomerni ni.
 \end_layout
 
 \begin_layout Standard
-Potenčna vrsta: 
+Potenčna vrsta:
+ 
 \begin_inset Formula $\sum_{j=1}^{\infty}b_{j}x^{j}$
 \end_inset
 
@@ -495,7 +495,8 @@ Potenčna vrsta:
 \end_inset
 
 abs.
- konv., 
+ konv.,
+ 
 \begin_inset Formula $\vert x\vert>R\Longrightarrow$
 \end_inset
 
@@ -719,7 +720,8 @@ divergira
 \end_layout
 
 \begin_layout Standard
-Krožnica: 
+Krožnica:
+ 
 \begin_inset Formula $\left(x-p\right)^{2}+\left(y-q\right)^{2}=r^{2}$
 \end_inset
 
@@ -727,7 +729,8 @@ Krožnica:
 \end_layout
 
 \begin_layout Standard
-Elipsa: 
+Elipsa:
+ 
 \begin_inset Formula $\frac{\left(x-p\right)^{2}}{a^{2}}+\frac{\left(y-q\right)^{2}}{b^{2}}=1$
 \end_inset
 
@@ -800,7 +803,8 @@ Odvod
 \begin_inset Formula $\frac{f'g-fg'}{g^{2}}$
 \end_inset
 
-, 
+,
+ 
 \begin_inset Formula $g\not=0$
 \end_inset
 
@@ -1260,7 +1264,8 @@ Zvezna
 \begin_inset Formula $\sup$
 \end_inset
 
-, je omejena in doseže vse funkcijske vrednosti na 
+,
+ je omejena in doseže vse funkcijske vrednosti na 
 \begin_inset Formula $\left[f\left(a\right),f\left(b\right)\right]$
 \end_inset
 
@@ -1275,7 +1280,8 @@ Zvezna
 \begin_inset Formula $I$
 \end_inset
 
-, če 
+,
+ če 
 \begin_inset Formula $\forall\varepsilon>0\exists\delta_{\left(\varepsilon\right)}>0\ni:\forall x,y\in I:\left|x-y\right|<\delta\Rightarrow\left|f\left(x\right)-f\left(y\right)\right|<\varepsilon$
 \end_inset
 
@@ -1290,7 +1296,8 @@ Zvezna
 \begin_inset Formula $I$
 \end_inset
 
-, če 
+,
+ če 
 \begin_inset Formula $\forall\varepsilon>0\forall x\in I\exists\delta_{\left(x,\varepsilon\right)}>0\ni:\forall x,y\in I:\left|x-y\right|<\delta\Rightarrow\left|f\left(x\right)-f\left(y\right)\right|<\varepsilon$
 \end_inset