[{"content":"Za zapisovanje količin v sistemu \\(\\LaTeX\\) je zelo priročen paket siunitx. Poskrbi za ustrezen razmak med številom in enoto, pokončen zapis enot, zapis decimalne vejice \u0026hellip; Vključimo ga v preambulo dokumenta:\n\\usepackage[exponent-product=\\ensuremath{\\cdot},output-decimal-marker={,}]{siunitx} Z izbranima nastavitvama smo določili sredinsko piko kot znak za množenje pri znanstvenem zapisu števil in decimalno vejico.\nZapisovanje količine Za zapis količine uporabimo bodisi ukaz \\SI ali \\qty, ki ju lahko uporabljamo tako znotraj besedilnega kot matematičnega načina. Število zapišemo v decimalnem ali eksponentnem zapisu. Enoto zapišemo s simboli ali z ukazi.\nKoda Rezultat \\SI{5.2}{kg} \\(5{,}2 \\, \\text{kg}\\) \\SI{10}{m/s} \\(10 \\, \\text{m/s}\\) \\SI{-8.5}{\\celsius} \\(-8{,}5 \\, {}^\\circ\\text{C}\\) \\SI{2.34e5}{\\ohm . m} \\(2{,}34 \\cdot 10^5 \\, \\text{Ω m}\\) Zapisovanje enote Kadar zapisujemo zgolj enoto brez števila, uporabljamo \\si ali \\unit:\nKoda Rezultat \\unit{kg.m.s^{-2}} \\(\\text{kg m s}^{-2}\\) \\unit{\\kilogram\\metre\\per\\square\\second} \\(\\text{kg m s}^{-2}\\) \\unit{\\kg\\m\\per\\square\\s} \\(\\text{kg m s}^{-2}\\) Zapisovanje števila Tudi števila brez enot je priporočljivo zapisovati s tem paketom, tako da uporabimo ukaz \\num:\nKoda Rezultat \\num{-2.34} \\(-2{,}34\\) \\num{3e-2} \\(3 \\cdot 10^{-2}\\) \\num{e12} \\(10^{12}\\) Dodatne nastavitve Sestavljene enote Če iz pedagoških ali drugih razlogov sestavljene enote zapisujemo v obliki ulomkov, to vključimo z nastavitvijo per-mode=fraction:\nKoda Nastavitev Rezultat \\SI{3}{m/s} per-mode=symbol \\(3\\, \\text{m/s}\\) \\SI{3}{m/s} per-mode=fraction \\(3\\, \\frac{\\text{m}}{\\text{s}}\\) Negotovosti Negotovost podamo v oklepajih. Z nastavitvijo separate-uncertainty določimo način prikaza:\nKoda Nastavitev Rezultat \\SI{13.5(2)}{s} separate-uncertainty=false \\(13{,}5(2) \\, \\text{s}\\) \\SI{13.5(2)}{s} separate-uncertainty=true \\((13{,}5 \\pm 0{,}2) \\, \\text{s}\\) ","permalink":"https://d-vau.com/blog/latex-in-kolicine/","summary":"\u003cp\u003eZa zapisovanje količin v sistemu \\(\\LaTeX\\) je zelo priročen paket \u003ca href=\"https://ctan.org/pkg/siunitx\"\u003esiunitx\u003c/a\u003e. Poskrbi za ustrezen razmak med številom in enoto, pokončen zapis enot, zapis decimalne vejice \u0026hellip; Vključimo ga v preambulo dokumenta:\u003c/p\u003e\n\u003cdiv class=\"highlight\"\u003e\u003cpre tabindex=\"0\" class=\"chroma\"\u003e\u003ccode class=\"language-tex\" data-lang=\"tex\"\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"k\"\u003e\\usepackage\u003c/span\u003e\u003cspan class=\"na\"\u003e[exponent-product=\\ensuremath{\\cdot},output-decimal-marker={,}]\u003c/span\u003e\u003cspan class=\"nb\"\u003e{\u003c/span\u003esiunitx\u003cspan class=\"nb\"\u003e}\u003c/span\u003e\n\u003c/span\u003e\u003c/span\u003e\u003c/code\u003e\u003c/pre\u003e\u003c/div\u003e\u003cp\u003eZ izbranima nastavitvama smo določili sredinsko piko kot znak za množenje pri znanstvenem zapisu števil in decimalno vejico.\u003c/p\u003e\n\u003ch2 id=\"zapisovanje-količine\"\u003eZapisovanje količine\u003c/h2\u003e\n\u003cp\u003eZa zapis količine uporabimo bodisi ukaz \u003ccode\u003e\\SI\u003c/code\u003e ali \u003ccode\u003e\\qty\u003c/code\u003e, ki ju lahko uporabljamo tako znotraj besedilnega kot matematičnega načina. Število zapišemo v decimalnem ali eksponentnem zapisu. Enoto zapišemo s simboli ali z ukazi.\u003c/p\u003e","title":"Zapisovanje količin v LaTeXu"},{"content":"Cayleyjeva transformacija je konformna preslikava zgornje kompleksne polravnine na enotski krog: $$w(z) = \\frac{z-i}{z+i}.$$ Konstruiramo lahko zvezno Cayleyjevo transformacijo:\n$$w_t(z) = \\frac{-\\frac{(1+i) \\sin \\left(\\sqrt{3} t\\right)}{\\sqrt{3}}+\\frac{1}{3} z \\left(3 \\cos \\left(\\sqrt{3} t\\right)-i \\sqrt{3} \\sin \\left(\\sqrt{3} t\\right)\\right)}{\\frac{(1-i) z \\sin \\left(\\sqrt{3} t\\right)}{\\sqrt{3}}+\\frac{1}{3} \\left(3 \\cos \\left(\\sqrt{3} t\\right)+i \\sqrt{3} \\sin \\left(\\sqrt{3} t\\right)\\right)}$$s parametrom \\(t \\in [0, \\tfrac{\\pi}{3\\sqrt3} ]\\).\nw[t_, z_] = (-(((1 + I) Sin[Sqrt[3] t])/Sqrt[3]) + 1/3 z (3 Cos[Sqrt[3] t] - I Sqrt[3] Sin[Sqrt[3] t]))/ (((1 - I) z Sin[Sqrt[3] t])/Sqrt[3] + 1/3 (3 Cos[Sqrt[3] t] + I Sqrt[3] Sin[Sqrt[3] t])); L = 20; Manipulate[ ParametricPlot[{Re[w[t, u + I v]], Im[w[t, u + I v]]}, {u, -L, L}, {v, 0, 2 L}, PlotRange -\u0026gt; 1.5, PlotPoints -\u0026gt; 50, Mesh -\u0026gt; 65, PlotStyle -\u0026gt; Gray, BoundaryStyle -\u0026gt; Darker[Gray], Axes -\u0026gt; None, FrameTicks -\u0026gt; None MeshStyle -\u0026gt; {{CapForm[\u0026#34;Butt\u0026#34;], Opacity[1], Thickness[.005], ColorData[97][4]}, {CapForm[\u0026#34;Butt\u0026#34;], Opacity[1], Thickness[.005], ColorData[97][1]}}], {t, 0, π/(3 Sqrt[3])}] ","permalink":"https://d-vau.com/blog/cayleyjeva-transformacija/","summary":"\u003cp\u003e\u003ca href=\"https://en.wikipedia.org/wiki/Cayley_transform\"\u003eCayleyjeva transformacija\u003c/a\u003e je konformna preslikava zgornje kompleksne polravnine na enotski krog:\n\u003c/p\u003e\n$$w(z) = \\frac{z-i}{z+i}.$$\u003cp\u003e\nKonstruiramo lahko \u003ca href=\"http://arkadiusz-jadczyk.org/papers/cayley-2010-02-06.pdf\"\u003ezvezno Cayleyjevo transformacijo\u003c/a\u003e:\u003c/p\u003e\n$$w_t(z) = \\frac{-\\frac{(1+i) \\sin \\left(\\sqrt{3} t\\right)}{\\sqrt{3}}+\\frac{1}{3} z \\left(3 \\cos \\left(\\sqrt{3} t\\right)-i \\sqrt{3} \\sin \\left(\\sqrt{3} t\\right)\\right)}{\\frac{(1-i) z \\sin \\left(\\sqrt{3} t\\right)}{\\sqrt{3}}+\\frac{1}{3} \\left(3 \\cos \\left(\\sqrt{3} t\\right)+i \\sqrt{3} \\sin \\left(\\sqrt{3} t\\right)\\right)}$$\u003cp\u003es parametrom \\(t \\in [0, \\tfrac{\\pi}{3\\sqrt3} ]\\).\u003c/p\u003e\n\u003cdiv class=\"highlight\"\u003e\u003cpre tabindex=\"0\" class=\"chroma\"\u003e\u003ccode class=\"language-mma\" data-lang=\"mma\"\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"n\"\u003ew\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"nv\"\u003et_\u003c/span\u003e\u003cspan class=\"p\"\u003e,\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"nv\"\u003ez_\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e=\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"p\"\u003e(\u003c/span\u003e\u003cspan class=\"o\"\u003e-\u003c/span\u003e\u003cspan class=\"p\"\u003e(((\u003c/span\u003e\u003cspan class=\"mi\"\u003e1\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e+\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eI\u003c/span\u003e\u003cspan class=\"p\"\u003e)\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eSin\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003et\u003c/span\u003e\u003cspan class=\"p\"\u003e])\u003c/span\u003e\u003cspan class=\"o\"\u003e/\u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e])\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e+\u003c/span\u003e\u003cspan class=\"w\"\u003e \n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"w\"\u003e   \u003c/span\u003e\u003cspan class=\"mi\"\u003e1\u003c/span\u003e\u003cspan class=\"o\"\u003e/\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003ez\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"p\"\u003e(\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eCos\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003et\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e-\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eI\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eSin\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003et\u003c/span\u003e\u003cspan class=\"p\"\u003e]))\u003c/span\u003e\u003cspan class=\"o\"\u003e/\u003c/span\u003e\u003cspan class=\"w\"\u003e\n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"w\"\u003e   \u003c/span\u003e\u003cspan class=\"p\"\u003e(((\u003c/span\u003e\u003cspan class=\"mi\"\u003e1\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e-\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eI\u003c/span\u003e\u003cspan class=\"p\"\u003e)\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003ez\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eSin\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003et\u003c/span\u003e\u003cspan class=\"p\"\u003e])\u003c/span\u003e\u003cspan class=\"o\"\u003e/\u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e+\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"mi\"\u003e1\u003c/span\u003e\u003cspan class=\"o\"\u003e/\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"p\"\u003e(\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eCos\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003et\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e+\u003c/span\u003e\u003cspan class=\"w\"\u003e \n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"w\"\u003e   \u003c/span\u003e\u003cspan class=\"n\"\u003eI\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eSin\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e]\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003et\u003c/span\u003e\u003cspan class=\"p\"\u003e]));\u003c/span\u003e\u003cspan class=\"w\"\u003e\n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"w\"\u003e\n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"w\"\u003e\u003c/span\u003e\u003cspan class=\"n\"\u003eL\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e=\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"mi\"\u003e20\u003c/span\u003e\u003cspan class=\"p\"\u003e;\u003c/span\u003e\u003cspan class=\"w\"\u003e\n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"w\"\u003e\u003c/span\u003e\u003cspan class=\"n\"\u003eManipulate\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"w\"\u003e\n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eParametricPlot\u003c/span\u003e\u003cspan class=\"p\"\u003e[{\u003c/span\u003e\u003cspan class=\"n\"\u003eRe\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"n\"\u003ew\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"n\"\u003et\u003c/span\u003e\u003cspan class=\"p\"\u003e,\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eu\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e+\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eI\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003ev\u003c/span\u003e\u003cspan class=\"p\"\u003e]],\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eIm\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"n\"\u003ew\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"n\"\u003et\u003c/span\u003e\u003cspan class=\"p\"\u003e,\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eu\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e+\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eI\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003ev\u003c/span\u003e\u003cspan class=\"p\"\u003e]]},\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"p\"\u003e{\u003c/span\u003e\u003cspan class=\"n\"\u003eu\u003c/span\u003e\u003cspan class=\"p\"\u003e,\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"o\"\u003e-\u003c/span\u003e\u003cspan class=\"n\"\u003eL\u003c/span\u003e\u003cspan class=\"p\"\u003e,\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eL\u003c/span\u003e\u003cspan class=\"p\"\u003e},\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"p\"\u003e{\u003c/span\u003e\u003cspan class=\"n\"\u003ev\u003c/span\u003e\u003cspan class=\"p\"\u003e,\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"mi\"\u003e0\u003c/span\u003e\u003cspan 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class=\"w\"\u003e\n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003cspan class=\"line\"\u003e\u003cspan class=\"cl\"\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"p\"\u003e{\u003c/span\u003e\u003cspan class=\"n\"\u003et\u003c/span\u003e\u003cspan class=\"p\"\u003e,\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"mi\"\u003e0\u003c/span\u003e\u003cspan class=\"p\"\u003e,\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"err\"\u003eπ\u003c/span\u003e\u003cspan class=\"o\"\u003e/\u003c/span\u003e\u003cspan class=\"p\"\u003e(\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"w\"\u003e \u003c/span\u003e\u003cspan class=\"n\"\u003eSqrt\u003c/span\u003e\u003cspan class=\"p\"\u003e[\u003c/span\u003e\u003cspan class=\"mi\"\u003e3\u003c/span\u003e\u003cspan class=\"p\"\u003e])}]\u003c/span\u003e\u003cspan class=\"w\"\u003e\n\u003c/span\u003e\u003c/span\u003e\u003c/span\u003e\u003c/code\u003e\u003c/pre\u003e\u003c/div\u003e\u003cp\u003e\u003cimg alt=\"Animacija zvezne Cayleyjeve transformacije\" loading=\"lazy\" src=\"/cayley_new_small.gif#center\"\u003e\u003c/p\u003e","title":"Cayleyjeva transformacija"},{"content":"Ogledali si bomo, kako lahko izdelamo slike in skice, ki vsebujejo matematične znake in formule, za uporabo v dokumentih \\(\\LaTeX\\). Uporabili bomo program Inkscape in narisali sliko za dvodimenzionalno Poissonovo enačbo s homogenimi robnimi pogoji:\n1. Odpremo Inkscape 2. Narišemo želeno sliko 3. Dodamo napise Napise dodamo kot običajno besedilo, ki ga obdamo s kontrolnimi znaki za medvrstični matematični način: $$ ali \\( \\). Spreminjamo lahko tudi barvo pisave, če želimo spremeniti velikost pisave, pa moramo uporabiti ustrezen ukaz \\(\\LaTeX\\). Uporabljamo lahko tudi ukaze iz drugih knjižnic, ki jih bomo ustrezno uvozili v končnem dokumentu \\(\\LaTeX\\) (na sliki je primer ukaza \\laplacian).\n4. Prilagodimo položaj napisov Posameznim besedilnim elementom nastavimo ustrezno poravnavo besedila, s katerim lažje pozicioniramo besedilo v sliki. 5. Prilagodimo velikost lista S klikom Ctrl+Shift+R skrčimo list na velikost slike.\n6. Sliko shranimo 7. Sliko izvozimo v format pdf Kliknemo Datoteka \u0026gt; Shrani kopijo\u0026hellip; in v okencu Vrsta datoteke izberemo format .pdf.\nOdpre se novo okno, kjer izberemo možnost Omit text in PDF and create LaTeX file. Inkscape bo ustvaril dve datoteki s končnicama .tex_pdf, ki vsebuje kodo za napise \\(\\LaTeX\\), in .pdf, ki vsebuje elemente slike.\n8. Sliko dodamo v dokument Uporabimo ukaz \\input ter uvozimo datoteko s končnico .pdf_tex. Potrebujemo tudi knjižnici graphicx in xcolor, ki ju dodamo v preambuli. Pozabiti seveda ne smemo na knjižnice, katerih ukaze smo uporabili v sliki: v tem primeru je to knjižnica physics, ki vsebuje ukaz \\laplacian.\n\\usepackage{graphicx} \\usepackage[dvipsnames,rgb]{xcolor} \\begin{document} \\begin{figure}[h!] \\centering \\def\\svgwidth{7cm} \\input{ImeDatoteke.pdf_tex} \\caption{Naslov slike.} \\label{OznakaSlike} \\end{figure} \\end{document} Velikost slike spreminjamo z ukazom \\def\\svgwidth.\nVelikost znakov v napisih je enaka velikosti znakov v dokumentu.\n9. Ustvarimo ukaz Kadar imamo v dokumentu veliko slik, si je smotrno ustvariti ukaz, s katerim lahko sliko v dokumentu enostavneje vstavimo. V preambulo dokumenta dodamo:\n\\newcommand{\\slika}[4]{ \\begin{figure}[h!] \\centering \\def\\svgwidth{#2} \\input{#1.pdf_tex} \\caption{#3} \\label{#4} \\end{figure} } Sliko nato vstavimo z ukazom \\slika:\n\\slika{ImeDatoteke}{VelikostSlike}{Naslov slike.}{OznakaSlike} Uporabljene datoteke Dokument.tex Dokument.pdf Poisson.svg Poisson.tex_pdf Poisson.pdf ","permalink":"https://d-vau.com/blog/inkscape-latex/","summary":"\u003cp\u003eOgledali si bomo, kako lahko izdelamo slike in skice, ki vsebujejo matematične znake in formule, za uporabo v dokumentih \\(\\LaTeX\\). Uporabili bomo program Inkscape in narisali sliko za dvodimenzionalno Poissonovo enačbo s homogenimi robnimi pogoji:\u003c/p\u003e\n\u003cp\u003e\u003cimg alt=\"Poisson\" loading=\"lazy\" src=\"/blog/inkscape-latex/Poisson.png#center\"\u003e\u003c/p\u003e\n\u003ch2 id=\"1-odpremo-inkscape\"\u003e1. Odpremo Inkscape\u003c/h2\u003e\n\u003cp\u003e\u003cimg alt=\"Korak 1\" loading=\"lazy\" src=\"/blog/inkscape-latex/Korak1.png#center\"\u003e\u003c/p\u003e\n\u003ch2 id=\"2-narišemo-želeno-sliko\"\u003e2. Narišemo želeno sliko\u003c/h2\u003e\n\u003cp\u003e\u003cimg alt=\"Korak 2\" loading=\"lazy\" src=\"/blog/inkscape-latex/Korak2.png#center\"\u003e\u003c/p\u003e\n\u003ch2 id=\"3-dodamo-napise\"\u003e3. Dodamo napise\u003c/h2\u003e\n\u003cp\u003eNapise dodamo kot običajno besedilo, ki ga obdamo s kontrolnimi znaki za medvrstični matematični način: \u003ccode\u003e$$\u003c/code\u003e ali \u003ccode\u003e\\( \\)\u003c/code\u003e. Spreminjamo lahko tudi barvo pisave, če želimo spremeniti velikost pisave, pa moramo uporabiti ustrezen ukaz \\(\\LaTeX\\). Uporabljamo lahko tudi ukaze iz drugih knjižnic, ki jih bomo ustrezno uvozili v končnem dokumentu \\(\\LaTeX\\) (na sliki je primer ukaza \u003ccode\u003e\\laplacian\u003c/code\u003e).\u003c/p\u003e","title":"Inkscape in LaTeX"}]