Bestand:Supremum illustration.png

Oorspronkelijk bestand(1.461 × 358 pixels, bestandsgrootte: 16 kB, MIME-type: image/png)


Beschrijving
English: A set A of real numbers (shown as blue balls), a set of upper bounds of A (red balls), and the smallest such upper bound, that is, the supremum of A (shown as a red diamond).
Español: Un conjunto A de números reales (representados por círculos azules), un conjunto de cotas superiores de A (círculos rojos), y el mínimo de las cotas superiores, el supremo de A(diamante rojo).
한국어: 집합 A의 모든 원소가 파란색으로 표시되어 있다. 임의의 빨간색 원소는 모든 파란색 원소보다 크거나 같고, 그 중에서 가장 작은 빨간색 값(다이아몬드)이 최소상계가 된다.
Tiếng Việt: Một tập hợp A gồm các số thực (được vẽ bằng các chấm màu xanh), tập hợp các cận trên của A (các chấm màu đỏ), và giá trị nhỏ nhất của các cận trên này, tức là, cận trên đúng của A (được vẽ bằng một hình thoi màu đỏ).
中文:实数集合 A(蓝色球),A 的上界集合(红色球),和 A 的最小上界也就是上确界(红色菱形)。.
Bron Self made, with Inkscape,see the source code below
Auteur en:User:Oleg Alexandrov
Public domain Ik, de auteursrechthebbende van dit werk, geef dit werk vrij in het publieke domein. Dit is wereldwijd van toepassing.
In sommige landen is dit wettelijk niet mogelijk; in die gevallen geldt:
Ik sta iedereen toe dit werk voor eender welk doel te gebruiken, zonder enige voorwaarden, tenzij zulke voorwaarden door de wet worden voorgeschreven.

SVG source code (SVG renders poorly currently)


<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
   xmlns:dc="http://purl.org/dc/elements/1.1/"
   xmlns:cc="http://web.resource.org/cc/"
   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
   xmlns:svg="http://www.w3.org/2000/svg"
   xmlns="http://www.w3.org/2000/svg"
   xmlns:sodipodi="http://inkscape.sourceforge.net/DTD/sodipodi-0.dtd"
   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
   width="367.20001"
   height="90.029999"
   id="svg2"
   sodipodi:version="0.32"
   inkscape:version="0.43"
   sodipodi:docbase="/home/aoleg/diverse/wiki"
   sodipodi:docname="Supremum_illustration.svg"
   inkscape:export-filename="/home/aoleg/diverse/wiki/Supremum_illustration.png"
   inkscape:export-xdpi="358.14001"
   inkscape:export-ydpi="358.14001"
   version="1.0">
  <defs
     id="defs4">
    <marker
       inkscape:stockid="DiamondS"
       orient="auto"
       refY="0"
       refX="0"
       id="DiamondS"
       style="overflow:visible">
      <path
         id="path3327"
         d="M 0,-7.0710768 L -7.0710894,0 L 0,7.0710589 L 7.0710462,0 L 0,-7.0710768 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none"
         transform="scale(0.2,0.2)" />
    </marker>
    <marker>
       style="font-size:12px;fill:#bb0000;fill-rule:evenodd;stroke:#bb0000;stroke-width:0;stroke-linejoin:round;overflow:visible"
       id="DiamondR"
       refX="0"
       refY="0"
       orient="auto"
       inkscape:stockid="DiamondR">
      <path
         transform="scale(0.2,0.2)"
         style="fill-rule:evenodd;stroke:#bb0000;stroke-width:1pt;marker-start:none"
         d="M 0,-7.0710768 L -7.0710894,0 L 0,7.0710589 L 7.0710462,0 L 0,-7.0710768 z "
         id="path3440" />
    </marker>
    <marker
       inkscape:stockid="DiamondM"
       orient="auto"
       refY="0"
       refX="0"
       id="DiamondM"
       style="font-size:12px;fill:#bb0000;fill-rule:evenodd;stroke:#bb0000;stroke-width:0;stroke-linejoin:round;overflow:visible">
      <path
         id="path3324"
         d="M 0,-7.0710768 L -7.0710894,0 L 0,7.0710589 L 7.0710462,0 L 0,-7.0710768 z "
         style="fill-rule:evenodd;stroke:#bb0000;stroke-width:1pt;marker-start:none"
         transform="scale(0.4,0.4)" />
    </marker>
    <marker
       inkscape:stockid="Arrow2Mstart"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2Mstart"
       style="overflow:visible">
      <path
         id="path3194"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="scale(0.6,0.6)" />
    </marker>
    <marker
       inkscape:stockid="Arrow2Lstart"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2Lstart"
       style="overflow:visible">
      <path
         id="path3188"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="matrix(1.1,0,0,1.1,1.1,0)" />
    </marker>
    <marker
       inkscape:stockid="Arrow1Lstart"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow1Lstart"
       style="overflow:visible">
      <path
         id="path3170"
         d="M 0,0 L 5,-5 L -12.5,0 L 5,5 L 0,0 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none"
         transform="matrix(0.8,0,0,0.8,10,0)" />
    </marker>
    <marker
       inkscape:stockid="Arrow2Lend"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2Lend"
       style="overflow:visible">
      <path
         id="path3191"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="matrix(-1.1,0,0,-1.1,-1.1,0)" />
    </marker>
    <marker
       inkscape:stockid="Arrow1Lend"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow1Lend"
       style="overflow:visible">
      <path
         id="path3173"
         d="M 0,0 L 5,-5 L -12.5,0 L 5,5 L 0,0 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none"
         transform="matrix(-0.8,0,0,-0.8,-10,0)" />
    </marker>
    <marker
       inkscape:stockid="Dot_s"
       orient="auto"
       refY="0"
       refX="0"
       id="Dot_s"
       style="font-size:12px;fill:#bb0000;fill-rule:evenodd;stroke:#ff00ff;stroke-width:0;stroke-linejoin:round;overflow:visible">
      <path
         id="path3266"
         d="M -2.5,-1 C -2.5,1.76 -4.74,4 -7.5,4 C -10.26,4 -12.5,1.76 -12.5,-1 C -12.5,-3.76 -10.26,-6 -7.5,-6 C -4.74,-6 -2.5,-3.76 -2.5,-1 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none;marker-end:none"
         transform="matrix(0.2,0,0,0.2,1.48,0.2)" />
    </marker>
    <marker
       style="font-size:12px;fill:#bb0000;fill-rule:evenodd;stroke:#bb0000;stroke-width:0;stroke-linejoin:round;overflow:visible"
       id="Dot_r"
       refX="0"
       refY="0"
       orient="auto"
       inkscape:stockid="Dot_r">
      <path
         transform="matrix(0.2,0,0,0.2,1.48,0.2)"
         style="fill-rule:evenodd;stroke:#bb0000;stroke-width:1pt;marker-start:none;marker-end:none"
         d="M -2.5,-1 C -2.5,1.76 -4.74,4 -7.5,4 C -10.26,4 -12.5,1.76 -12.5,-1 C -12.5,-3.76 -10.26,-6 -7.5,-6 C -4.74,-6 -2.5,-3.76 -2.5,-1 z "
         id="path2204" />
    </marker>
    <marker
       inkscape:stockid="Dot_b"
       orient="auto"
       refY="0"
       refX="0"
       id="Dot_b"
       style="font-size:12px;fill:#0000ff;fill-rule:evenodd;stroke:#0000ff;stroke-width:0;stroke-linejoin:round">
      <path
         id="path2208"
         d="M -2.5,-1 C -2.5,1.76 -4.74,4 -7.5,4 C -10.26,4 -12.5,1.76 -12.5,-1 C -12.5,-3.76 -10.26,-6 -7.5,-6 C -4.74,-6 -2.5,-3.76 -2.5,-1 z "
         style="fill-rule:evenodd;stroke:#0000ff;stroke-width:1pt;marker-start:none;marker-end:none"
         transform="matrix(0.2,0,0,0.2,1.48,0.2)" />
    </marker>
    <marker
       inkscape:stockid="Arrow2Mend"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2Mend"
       style="overflow:visible">
      <path
         id="path3225"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="scale(-0.6,-0.6)" />
    </marker>
    <marker
       style="overflow:visible"
       id="DistanceOut"
       refX="0"
       refY="0"
       orient="auto"
       inkscape:stockid="DistanceOut">
      <g
         id="g3254">
        <path
           style="fill:none;stroke:#ffffff;stroke-width:1.14999998;stroke-linecap:square"
           d="M 0,0 L -2,0"
           id="path2316" />
        <path
           style="fill:#000000;fill-rule:evenodd;stroke:none"
           d="M 0,0 L -13,4 L -9,0 L -13,-4 L 0,0 z "
           id="path2312" />
        <path
           style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:square"
           d="M 0,-4 L 0,40"
           id="path2314" />
      </g>
    </marker>
    <marker
       inkscape:stockid="Arrow2Sstart"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2Sstart"
       style="overflow:visible">
      <path
         id="path3228"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="matrix(0.3,0,0,0.3,-0.69,0)" />
    </marker>
    <marker
       inkscape:stockid="Dot_m"
       orient="auto"
       refY="0"
       refX="0"
       id="Dot_m"
       style="overflow:visible">
      <path
         id="path3263"
         d="M -2.5,-1 C -2.5,1.76 -4.74,4 -7.5,4 C -10.26,4 -12.5,1.76 -12.5,-1 C -12.5,-3.76 -10.26,-6 -7.5,-6 C -4.74,-6 -2.5,-3.76 -2.5,-1 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none;marker-end:none"
         transform="matrix(0.4,0,0,0.4,2.96,0.4)" />
    </marker>
    <marker
       style="font-size:12px;fill:#bb0000;fill-rule:evenodd;stroke:#bb0000;stroke-width:0;stroke-linejoin:round;overflow:visible"
       id="Dot_rmr"
       refX="0"
       refY="0"
       orient="auto"
       inkscape:stockid="Dot_rmr">
      <path
         transform="matrix(0.4,0,0,0.4,2.96,0.4)"
         style="fill-rule:evenodd;stroke:#bb0000;stroke-width:1pt;marker-start:none;marker-end:none"
         d="M -2.5,-1 C -2.5,1.76 -4.74,4 -7.5,4 C -10.26,4 -12.5,1.76 -12.5,-1 C -12.5,-3.76 -10.26,-6 -7.5,-6 C -4.74,-6 -2.5,-3.76 -2.5,-1 z "
         id="path3125" />
    </marker>
    <marker
       inkscape:stockid="Dot_rmb"
       orient="auto"
       refY="0"
       refX="0"
       id="Dot_rmb"
       style="font-size:12px;fill:#0000ff;fill-rule:evenodd;stroke:#0000ff;stroke-width:0;stroke-linejoin:round;overflow:visible">
      <path
         id="path3129"
         d="M -2.5,-1 C -2.5,1.76 -4.74,4 -7.5,4 C -10.26,4 -12.5,1.76 -12.5,-1 C -12.5,-3.76 -10.26,-6 -7.5,-6 C -4.74,-6 -2.5,-3.76 -2.5,-1 z "
         style="fill:#0000ff;fill-rule:evenodd;stroke:#0000ff;stroke-width:1pt;marker-start:none;marker-end:none"
         transform="matrix(0.4,0,0,0.4,2.96,0.4)" />
    </marker>
  </defs>
  <sodipodi:namedview
     id="base"
     pagecolor="#ffffff"
     bordercolor="#666666"
     borderopacity="1.0"
     gridtolerance="50"
     guidetolerance="10"
     objecttolerance="50"
     inkscape:pageopacity="0.0"
     inkscape:pageshadow="2"
     inkscape:zoom="1.979899"
     inkscape:cx="177.51745"
     inkscape:cy="26.365044"
     inkscape:document-units="px"
     inkscape:current-layer="layer1"
     inkscape:window-width="962"
     inkscape:window-height="737"
     inkscape:window-x="0"
     inkscape:window-y="0"
     showgrid="true"
     inkscape:object-points="false"
     inkscape:object-nodes="false"
     inkscape:object-paths="false"
     inkscape:grid-bbox="false"
     height="90.03px"
     width="367.2px" />
  <metadata
     id="metadata7">
    <rdf:RDF>
      <cc:Work
         rdf:about="">
        <dc:format>image/svg+xml</dc:format>
        <dc:type
           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
      </cc:Work>
    </rdf:RDF>
  </metadata>
  <g
     inkscape:label="Layer 1"
     inkscape:groupmode="layer"
     id="layer1"
     transform="translate(-27.384426,-289.92143)">
    <path
       style="fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;marker-mid:url(#Dot_rmb);marker-end:none;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="M 31.409807,328.44612 L 53.532567,328.61627 L 98.652528,328.47745 L 133.72597,328.38571 L 160.66033,328.52972 L 184.85163,328.62033 L 199.14087,328.37415 L 207.96385,328.44302 L 214.58426,330.81798"
       id="path3236"
       sodipodi:nodetypes="ccccccccc" />
    <path
       style="fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;marker-start:url(#DiamondM);marker-mid:url(#Dot_rmr);marker-end:url(#Arrow2Mend);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="M 214.987,329.0647 L 235.60816,328.72542 L 262.88851,328.80394 L 292.69332,328.85901 L 327.35092,328.86729 L 385.95457,328.70445"
       id="path2180"
       sodipodi:nodetypes="cccccc" />
    <text
       xml:space="preserve"
       style="font-size:28px;font-style:italic;font-variant:normal;font-weight:normal;font-stretch:normal;text-align:start;line-height:100%;writing-mode:lr-tb;text-anchor:start;fill:#0000ff;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
       x="107.3064"
       y="363.25879"
       id="text3442"
       sodipodi:linespacing="100%"><tspan
         sodipodi:role="line"
         id="tspan3444"
         x="107.3064"
         y="363.25879">A</tspan></text>
  </g>
</svg>

Deze wiskundige afbeelding zou opnieuw moeten worden aangemaakt als een SVG-bestand door vectorafbeeldingen te gebruiken. Dit heeft een aantal voordelen; zie Commons:Media for cleanup voor meer informatie. Als er een SVG-formaat van deze afbeelding bestaat, dan deze graag uploaden. Nadat u dit heeft gedaan, gelieve dit sjabloon te vervangen door het sjabloon {{vector version available|nieuwe bestandsnaam.svg}} op deze afbeeldingspagina.

Bijschriften

Beschrijf in één regel wat dit bestand voorstelt

Items getoond in dit bestand

beeldt af

Bestandsgeschiedenis

Klik op een datum/tijd om het bestand te zien zoals het destijds was.

Datum/tijdMiniatuurAfmetingenGebruikerOpmerking
huidige versie25 mei 2007 04:48Miniatuurafbeelding voor de versie van 25 mei 2007 04:481.461 × 358 (16 kB)Oleg AlexandrovTweak
25 mei 2007 04:44Miniatuurafbeelding voor de versie van 25 mei 2007 04:441.461 × 358 (16 kB)Oleg AlexandrovTweak
25 mei 2007 04:40Miniatuurafbeelding voor de versie van 25 mei 2007 04:401.433 × 168 (15 kB)Oleg AlexandrovTweak
25 mei 2007 04:35Miniatuurafbeelding voor de versie van 25 mei 2007 04:351.461 × 358 (17 kB)Oleg AlexandrovTweak
25 mei 2007 04:34Miniatuurafbeelding voor de versie van 25 mei 2007 04:341.461 × 358 (17 kB)Oleg AlexandrovTweak
25 mei 2007 04:17Miniatuurafbeelding voor de versie van 25 mei 2007 04:171.461 × 358 (12 kB)Oleg Alexandrov{{Information |Description= |Source=Self made, with Inkscape,see the source code below |Date= |Author=en:User:Oleg Alexandrov |Permission= |other_versions= }} {{PD-self}} ==SVG source code (SVG renders poorly currently) == <pre> <

Dit bestand wordt op de volgende pagina gebruikt:

Globaal bestandsgebruik

De volgende andere wiki's gebruiken dit bestand: