From 1341cdb80da47b5552ae2ec26d5c4fefad677482 Mon Sep 17 00:00:00 2001 From: baiobelfer Date: Wed, 30 Oct 2024 07:48:44 +0100 Subject: [PATCH] z1 --- py/1.py | 21 ++ py/2.py | 38 ++++ tex/main.aux | 2 + tex/main.log | 541 +++++++++++++++++++++++++++++++++++++++++++++++++++ tex/main.pdf | Bin 0 -> 132678 bytes tex/main.tex | 67 +++++++ 6 files changed, 669 insertions(+) create mode 100644 py/1.py create mode 100644 py/2.py create mode 100644 tex/main.aux create mode 100644 tex/main.log create mode 100644 tex/main.pdf create mode 100644 tex/main.tex diff --git a/py/1.py b/py/1.py new file mode 100644 index 0000000..a35075f --- /dev/null +++ b/py/1.py @@ -0,0 +1,21 @@ +import matplotlib.pyplot as plt +import numpy as np + +# Parametry ruchu +v = 5 # prędkość w m/s +s0 = 2 # początkowe położenie w m + +# Generowanie czasu i położenia +t = np.arange(0, 9, 1) # czas od 0 do 8 sekund +s = v * t + s0 # położenie w funkcji czasu + +# Rysowanie wykresu +plt.figure(figsize=(8, 6)) +plt.plot(t, s, marker='o', color='b', label=f's(t) = {v}*t + {s0}') +plt.title("Wykres zależności położenia s od czasu t") +plt.xlabel("Czas (s)") +plt.ylabel("Położenie s (m)") +plt.legend() +plt.grid(True) +plt.show() + diff --git a/py/2.py b/py/2.py new file mode 100644 index 0000000..277b4a1 --- /dev/null +++ b/py/2.py @@ -0,0 +1,38 @@ +import matplotlib.pyplot as plt +import numpy as np + +# Parametry ruchu liniowego +v = 5 # prędkość w m/s +s0 = 2 # początkowe położenie w m + +# Funkcja liniowa: s(t) = v * t + s0 +t = np.linspace(0, 8, 100) # dokładniejszy przedział czasu do rysowania wykresu +s_linear = v * t + s0 # położenie dla funkcji liniowej + +# Funkcja kwadratowa: s_quad(t) = a*t^2 + b*t + c +a, b, c = 1, -5, 5 # dobór współczynników do uzyskania 2 punktów przecięcia +s_quad = a * t**2 + b * t + c # położenie dla funkcji kwadratowej + +# Znajdowanie punktów przecięcia +intersection_points = [] +for i in range(len(t)): + if np.isclose(s_linear[i], s_quad[i], atol=0.1): # tolerancja na różnice wartości + intersection_points.append((t[i], s_linear[i])) + +# Rysowanie wykresów +plt.figure(figsize=(10, 6)) +plt.plot(t, s_linear, label=f'Liniowa: s(t) = {v}*t + {s0}', color='b') +plt.plot(t, s_quad, label=f'Kwadratowa: s(t) = {a}*t^2 + ({b})*t + {c}', color='r') +plt.xlabel("Czas (s)") +plt.ylabel("Położenie s (m)") +plt.title("Wykres zależności położenia s od czasu t") + +# Oznaczanie punktów przecięcia +for x, y in intersection_points: + plt.plot(x, y, 'go') # zielony punkt dla przecięć + plt.text(x, y, f'({x:.2f}, {y:.2f})', fontsize=9, ha='right') + +plt.legend() +plt.grid(True) +plt.show() + diff --git a/tex/main.aux b/tex/main.aux new file mode 100644 index 0000000..d490c35 --- /dev/null +++ b/tex/main.aux @@ -0,0 +1,2 @@ +\relax +\gdef \@abspage@last{2} diff --git a/tex/main.log b/tex/main.log new file mode 100644 index 0000000..2dc7740 --- /dev/null +++ b/tex/main.log @@ -0,0 +1,541 @@ +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Debian) (preloaded format=pdflatex 2024.9.20) 30 OCT 2024 07:47 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**main +(./main.tex +LaTeX2e <2022-11-01> patch level 1 +L3 programming layer <2023-01-16> +(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls +Document Class: article 2022/07/02 v1.4n Standard LaTeX document class +(/usr/share/texlive/texmf-dist/tex/latex/base/size10.clo +File: size10.clo 2022/07/02 v1.4n Standard LaTeX file (size option) +) +\c@part=\count185 +\c@section=\count186 +\c@subsection=\count187 +\c@subsubsection=\count188 +\c@paragraph=\count189 +\c@subparagraph=\count190 +\c@figure=\count191 +\c@table=\count192 +\abovecaptionskip=\skip48 +\belowcaptionskip=\skip49 +\bibindent=\dimen140 +) +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty +Package: amsmath 2022/04/08 v2.17n AMS math features +\@mathmargin=\skip50 + +For additional information on amsmath, use the `?' option. +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty +Package: amstext 2021/08/26 v2.01 AMS text + +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty +File: amsgen.sty 1999/11/30 v2.0 generic functions +\@emptytoks=\toks16 +\ex@=\dimen141 +)) +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty +Package: amsbsy 1999/11/29 v1.2d Bold Symbols +\pmbraise@=\dimen142 +) +(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty +Package: amsopn 2022/04/08 v2.04 operator names +) +\inf@bad=\count193 +LaTeX Info: Redefining \frac on input line 234. +\uproot@=\count194 +\leftroot@=\count195 +LaTeX Info: Redefining \overline on input line 399. +LaTeX Info: Redefining \colon on input line 410. +\classnum@=\count196 +\DOTSCASE@=\count197 +LaTeX Info: Redefining \ldots on input line 496. +LaTeX Info: Redefining \dots on input line 499. +LaTeX Info: Redefining \cdots on input line 620. +\Mathstrutbox@=\box51 +\strutbox@=\box52 +LaTeX Info: Redefining \big on input line 722. +LaTeX Info: Redefining \Big on input line 723. +LaTeX Info: Redefining \bigg on input line 724. +LaTeX Info: Redefining \Bigg on input line 725. +\big@size=\dimen143 +LaTeX Font Info: Redeclaring font encoding OML on input line 743. +LaTeX Font Info: Redeclaring font encoding OMS on input line 744. +\macc@depth=\count198 +LaTeX Info: Redefining \bmod on input line 905. +LaTeX Info: Redefining \pmod on input line 910. +LaTeX Info: Redefining \smash on input line 940. +LaTeX Info: Redefining \relbar on input line 970. +LaTeX Info: Redefining \Relbar on input line 971. +\c@MaxMatrixCols=\count199 +\dotsspace@=\muskip16 +\c@parentequation=\count266 +\dspbrk@lvl=\count267 +\tag@help=\toks17 +\row@=\count268 +\column@=\count269 +\maxfields@=\count270 +\andhelp@=\toks18 +\eqnshift@=\dimen144 +\alignsep@=\dimen145 +\tagshift@=\dimen146 +\tagwidth@=\dimen147 +\totwidth@=\dimen148 +\lineht@=\dimen149 +\@envbody=\toks19 +\multlinegap=\skip51 +\multlinetaggap=\skip52 +\mathdisplay@stack=\toks20 +LaTeX Info: Redefining \[ on input line 2953. +LaTeX Info: Redefining \] on input line 2954. +) +(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty +Package: graphicx 2021/09/16 v1.2d Enhanced LaTeX Graphics (DPC,SPQR) + +(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty +Package: keyval 2022/05/29 v1.15 key=value parser (DPC) +\KV@toks@=\toks21 +) +(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty +Package: graphics 2022/03/10 v1.4e Standard LaTeX Graphics (DPC,SPQR) + +(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty +Package: trig 2021/08/11 v1.11 sin cos tan (DPC) +) +(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration +) +Package graphics Info: Driver file: pdftex.def on input line 107. + +(/usr/share/texlive/texmf-dist/tex/latex/graphics-def/pdftex.def +File: pdftex.def 2022/09/22 v1.2b Graphics/color driver for pdftex +)) +\Gin@req@height=\dimen150 +\Gin@req@width=\dimen151 +) +(/usr/share/texlive/texmf-dist/tex/latex/geometry/geometry.sty +Package: geometry 2020/01/02 v5.9 Page Geometry + +(/usr/share/texlive/texmf-dist/tex/generic/iftex/ifvtex.sty +Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. 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LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.13 \maketitle + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.17 ...zadania jest znalezienie punktów przecię + cia dwóch funkcji: funkcj... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.17 ...funkcji kwadratowej. Obie funkcje opisują + zależność położenia ... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.23 \section*{Rozwiązanie} + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.25 Aby znaleźć punkty przecię + cia, przyrównujemy obie funkcje do siebie: +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.30 Przenoszą + c wszystkie wyrazy na jedną stronę, otrzymujemy równanie k... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.30 Przenosząc wszystkie wyrazy na jedną + stronę, otrzymujemy równanie k... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.30 ...nosząc wszystkie wyrazy na jedną stronę + , otrzymujemy równanie kw... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.35 Równanie to można rozwią + zać przy użyciu wzoru kwadratowego: +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.42 Dla potrzeb zadania przyję + liśmy następujące wartości parametrów: +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.42 Dla potrzeb zadania przyjęliśmy nastę + pujące wartości parametrów: +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.42 Dla potrzeb zadania przyjęliśmy następują + ce wartości parametrów: +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.44 \item Prę + dkość \( v = 5 \, \text{m/s} \) +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.45 \item Począ + tkowe położenie \( s_0 = 2 \, \text{m} \) +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.49 \section*{Punkty przecięcia} + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.51 Rozwią + zując równanie kwadratowe, otrzymaliśmy następujące wartoś... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.51 Rozwiązują + c równanie kwadratowe, otrzymaliśmy następujące wartoś... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.51 ...równanie kwadratowe, otrzymaliśmy nastę + pujące wartości \( t \) ... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.51 ...anie kwadratowe, otrzymaliśmy następują + ce wartości \( t \) oraz ... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.51 ...ujące wartości \( t \) oraz odpowiadają + ce im wartości położeni... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.54 \item Punkt przecię + cia 1: \( t_1 = \frac{-B + \sqrt{B^2 - 4 \cdot ... + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.55 \item Punkt przecię + cia 2: \( t_2 = \frac{-B - \sqrt{B^2 - 4 \cdot ... + +? + +! LaTeX Error: Command \end{itemize} invalid in math mode. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.56 \end{itemize} + +? + +! LaTeX Error: Something's wrong--perhaps a missing \item. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.56 \end{itemize} + +? + +! LaTeX Error: Something's wrong--perhaps a missing \item. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.56 \end{itemize} + +? +! Missing $ inserted. + + $ +l.56 \end{itemize} + +? + +! LaTeX Error: Command \k unavailable in encoding OT1. + +See the LaTeX manual or LaTeX Companion for explanation. +Type H for immediate help. + ... + +l.60 ...towej wraz z oznaczeniem punktów przecię + cia. +? + +LaTeX Warning: File `intersection_plot.png' not found on input line 63. + + +! 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