Slika:Exterior calc cross product.png
Pojdi na navigacijo
Pojdi na iskanje
Velikost tega predogleda: 684 × 600 točk. Druge ločljivosti: 274 × 240 točk | 547 × 480 točk | 876 × 768 točk | 1.130 × 991 točk.
Izvorna datoteka (1.130 × 991 točk, velikost datoteke: 50 KB, MIME-vrsta: image/png)
Povzetek
|
File:Exterior calc cross product.svg je vektorska različica te datoteke. Kjer je primernejša, naj se uporablja namesto te rastrske slike.
File:Exterior calc cross product.png → File:Exterior calc cross product.svg
Več informacij o vektorski grafiki je na voljo na strani Commons:Transition to SVG. Na voljo so tudi informacije o podprtosti SVG-slik v programju MediaWiki. |
 |
| Opis |
English: The cross product viewed in terms of the exterior product and Hodge dual. In red are the unit normal vector and unit "parallel" bivector. The cross product, as the dual of the bivector, has the same magnitude relative to the unit normal vector as the bivector has relative to the unit bivector -- thus the magnitude of the cross product is the area of parallelogram formed by the bivector.
SVG source code (SVG is rendered poorly by the current renderer, especially text and arrows)
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<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="112.96"
height="99.050003"
id="svg2"
sodipodi:version="0.32"
inkscape:version="0.43"
sodipodi:docbase="/home/jedidiah/Desktop"
sodipodi:docname="exterior_calc_cross_product.svg"
version="1.0"
inkscape:export-filename="/home/jedidiah/Desktop/Exterior_calc_cross_product.png"
inkscape:export-xdpi="900.44763"
inkscape:export-ydpi="900.44763">
<defs
id="defs4">
<marker
inkscape:stockid="Arrow1Lstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Lstart"
style="overflow:visible">
<path
id="path3396"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt;marker-start:none"
transform="scale(0.8)" />
</marker>
<marker
inkscape:stockid="Arrow1Mstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Mstart"
style="overflow:visible">
<path
id="path3390"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt;marker-start:none"
transform="scale(0.4)" />
</marker>
<marker
inkscape:stockid="Arrow1Mend"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Mend"
style="overflow:visible;">
<path
id="path3387"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt;marker-start:none;"
transform="scale(0.4) rotate(180)" />
</marker>
<marker
inkscape:stockid="Arrow2Mstart"
orient="auto"
refY="0"
refX="0"
id="Arrow2Mstart"
style="overflow:visible">
<path
id="path3239"
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="Arrow2Send"
orient="auto"
refY="0"
refX="0"
id="Arrow2Send"
style="overflow:visible">
<path
id="path4181"
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
style="fill:#952c95;overflow:visible"
id="ArrowViolet"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="ArrowViolet">
<path
transform="matrix(-0.3,0,0,-0.3,0.69,0)"
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 "
style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
id="path2210" />
</marker>
<marker
inkscape:stockid="ArrowRed"
orient="auto"
refY="0"
refX="0"
id="ArrowRed"
style="fill:#ff0000;overflow:visible">
<path
id="path2294"
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="ArrowBlue"
orient="auto"
refY="0"
refX="0"
id="ArrowBlue"
style="fill:#0000ff;overflow:visible">
<path
id="path2227"
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="ArrowGreen"
orient="auto"
refY="0"
refX="0"
id="ArrowGreen"
style="fill:#138813;overflow:visible">
<path
id="path2214"
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="Arrow2Mend"
orient="auto"
refY="0"
refX="0"
id="Arrow2Mend"
style="overflow:visible">
<path
id="path4175"
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="fill:#138813;overflow:visible"
id="Arrow2Dark_green"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Dark_green">
<path
transform="scale(-0.6,-0.6)"
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 "
style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
id="path4417" />
</marker>
<marker
style="fill:#e70717;overflow:visible"
id="Arrow2Red"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Red">
<path
transform="scale(-0.6,-0.6)"
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 "
style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
id="path4409" />
</marker>
<marker
style="fill:#0000ff;overflow:visible"
id="Arrow2Blue"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Blue">
<path
transform="scale(-0.6,-0.6)"
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 "
style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
id="path4397" />
</marker>
<marker
style="fill:#138813;overflow:visible"
id="Arrow2Green"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow2Green">
<path
transform="scale(-0.6,-0.6)"
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 "
style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
id="path4389" />
</marker>
<marker
inkscape:stockid="Arrow2LViolet"
orient="auto"
refY="0"
refX="0"
id="Arrow2LViolet"
style="fill:#952c95;overflow:visible">
<path
id="path4393"
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="Arrow2Lend"
orient="auto"
refY="0"
refX="0"
id="Arrow2Lend"
style="overflow:visible">
<path
id="path4169"
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="path4151"
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>
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
gridtolerance="50"
guidetolerance="10"
objecttolerance="10"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="8.2382632"
inkscape:cx="56.48"
inkscape:cy="49.525002"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="true"
inkscape:object-paths="false"
inkscape:grid-bbox="false"
inkscape:window-width="1292"
inkscape:window-height="998"
inkscape:window-x="65"
inkscape:window-y="31"
showguides="true"
inkscape:guide-bbox="true"
width="112.96px"
height="99.05px" />
<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(-252.4295,-513.6927)">
<path
sodipodi:type="star"
style="fill:#669bf1;fill-opacity:0.30319148;fill-rule:evenodd;stroke:#000700;stroke-width:1.13190317;stroke-linecap:butt;stroke-linejoin:round;marker-start:none;marker-mid:none;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
id="path2222"
sodipodi:sides="4"
sodipodi:cx="24.642857"
sodipodi:cy="256.46143"
sodipodi:r1="32.718494"
sodipodi:r2="46.740707"
sodipodi:arg1="0.89366875"
sodipodi:arg2="1.6790669"
inkscape:flatsided="true"
inkscape:rounded="0"
inkscape:randomized="0"
d="M 45.142856,281.96142 L -0.85714185,276.96142 L 4.1428577,230.96143 L 50.142855,235.96143 L 45.142856,281.96142 z "
transform="matrix(-0.660097,0.744873,-1.578815,7.888796e-2,731.68,542.971)" />
<path
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.4pt;marker-start:none"
d="M 325.23872,564.24731 L 327.23872,562.24731 L 320.23872,564.24731 L 327.23872,566.24731 L 325.23872,564.24731 z "
id="path3407" />
<path
id="path3410"
d="M 342.99608,583.4665 L 342.82644,586.28984 L 346.73728,580.14937 L 340.17274,583.29688 L 342.99608,583.4665 z "
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.4pt;marker-start:none" />
<path
transform="matrix(-0.292402,0.329241,-0.699365,3.486919e-2,466.7753,574.5316)"
d="M 45.142856,281.96142 L -0.85714185,276.96142 L 4.1428577,230.96143 L 50.142855,235.96143 L 45.142856,281.96142 z "
inkscape:randomized="0"
inkscape:rounded="0"
inkscape:flatsided="true"
sodipodi:arg2="1.6790669"
sodipodi:arg1="0.89366875"
sodipodi:r2="46.740707"
sodipodi:r1="32.718494"
sodipodi:cy="256.46143"
sodipodi:cx="24.642857"
sodipodi:sides="4"
id="path3419"
style="fill:#f8adad;fill-opacity:1;fill-rule:evenodd;stroke:#000700;stroke-width:1.13190317;stroke-linecap:butt;stroke-linejoin:round;marker-start:none;marker-mid:none;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
sodipodi:type="star" />
<path
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.1769953pt;marker-start:none"
d="M 294.60079,592.43094 L 294.52564,593.67889 L 296.25802,590.96474 L 293.35014,592.35597 L 294.60079,592.43094 z "
id="path3423" />
<path
id="path3421"
d="M 286.73485,583.93589 L 287.62078,583.05187 L 284.52001,583.93589 L 287.62078,584.81991 L 286.73485,583.93589 z "
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.1769953pt;marker-start:none" />
<path
style="fill:#138813;fill-opacity:1;fill-rule:evenodd;stroke:#138813;stroke-width:2.9732039;stroke-linecap:butt;stroke-linejoin:miter;marker-end:url(#ArrowGreen);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="M 257.14154,597.13595 L 292.74056,566.23604"
id="path2196" />
<path
style="fill:#952c95;fill-opacity:1;fill-rule:evenodd;stroke:#952c95;stroke-width:3.00394917;stroke-linecap:butt;stroke-linejoin:miter;marker-end:url(#ArrowViolet);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="M 256.15738,598.08682 L 322.89099,598.98099"
id="path2202" />
<path
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:3.00708985;stroke-linecap:butt;stroke-linejoin:miter;marker-start:none;marker-end:url(#ArrowBlue);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
d="M 257.57507,577.36094 L 257.57507,599.60299 L 257.57507,519.28444"
id="path2194" />
<path
id="path1369"
d="M 257.57507,577.36094 L 257.57507,599.60299 L 257.57507,569.11477"
style="fill:#f70000;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:3.007;stroke-linecap:butt;stroke-linejoin:miter;marker-start:none;marker-end:url(#ArrowRed);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
sodipodi:nodetypes="ccc" />
<text
xml:space="preserve"
style="font-size:12px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:100%;writing-mode:lr-tb;text-anchor:start;fill:#138813;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
x="268.74515"
y="576.52417"
id="text2188"
sodipodi:linespacing="100%"><tspan
sodipodi:role="line"
id="tspan2190"
x="268.74515"
y="576.52417">b</tspan></text>
<text
xml:space="preserve"
style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#952c95;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
x="289.80795"
y="611.06354"
id="text3183"
sodipodi:linespacing="105.99999%"><tspan
sodipodi:role="line"
id="tspan3185"
x="289.80795"
y="611.06354">a</tspan></text>
<text
xml:space="preserve"
style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
x="315.20535"
y="582.62604"
id="text3251"
sodipodi:linespacing="105.99999%"><tspan
sodipodi:role="line"
id="tspan1367"
x="315.20535"
y="582.62604">⋀</tspan></text>
<text
xml:space="preserve"
style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#952c95;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
x="308.32544"
y="582.7475"
id="text3257"
sodipodi:linespacing="105.99999%"><tspan
sodipodi:role="line"
id="tspan3259"
x="308.32544"
y="582.7475">a</tspan></text>
<text
xml:space="preserve"
style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#138813;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
x="323.95883"
y="582.77393"
id="text3261"
sodipodi:linespacing="105.99999%"><tspan
sodipodi:role="line"
id="tspan3263"
x="323.95883"
y="582.77393">b</tspan></text>
<text
xml:space="preserve"
style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
x="268.07166"
y="540.80042"
id="text3254"
sodipodi:linespacing="105.99999%"><tspan
sodipodi:role="line"
id="tspan1365"
x="268.07166"
y="540.80042">×</tspan></text>
<text
xml:space="preserve"
style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#952c95;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
x="261.92453"
y="540.67761"
id="text3260"
sodipodi:linespacing="105.99999%"><tspan
sodipodi:role="line"
id="tspan3262"
x="261.92453"
y="540.67761">a</tspan></text>
<text
xml:space="preserve"
style="font-size:12.08199978px;font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;text-align:start;line-height:105.99999428%;writing-mode:lr-tb;text-anchor:start;fill:#138813;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Sans"
x="274.63501"
y="540.71234"
id="text3264"
sodipodi:linespacing="105.99999%"><tspan
sodipodi:role="line"
id="tspan3266"
x="274.63501"
y="540.71234">b</tspan></text>
</g>
</svg>
|
| Datum | 20. maj 2007 (izvirni datum naložitve) |
| Vir | lastno delo |
| Avtor | Leland McInnes, sodelavec projekta Wikipedija (jezik: angleščina). |
| Dovoljenje (Nadaljnja uporaba datoteke) |
This image was made by the posting Wikipedia author, and is freely distributed under GFDL. |
Licenca
|
To delo je dal v javno domeno njegov avtor Leland McInnes, sodelavec projekta Wikipedija (jezik: angleščina).. To velja po vsem svetu. V nekaterih državah to pravno morda ni mogoče. Če je tako, Leland McInnes daje (v okviru zakonskih omejitev) vsakomur brezpogojno pravico, da gradivo uporablja v kateri koli namen. |
Izvorni dnevniški zapis naložitve
Iz en.wikipedia v Zbirko prenesel uporabnik Drilnoth s pomočjo orodja CommonsHelper.
Izvorna opisna stran je bila tukaj. Vsa nadaljnja uporabniška imena se nanašajo na en.wikipedia.
- 2007-05-20 02:00 Leland McInnes 1130×991× (51676 bytes) ==SVG source code (SVG is rendered poorly by the current renderer, especially text and arrows)== <pre> <nowiki> <?xml version="1.0" encoding="UTF-8" standalone="no"?> <!-- Created with Inkscape (http://www.inkscape.org/) --> <svg xmlns:dc="http://purl.
Zgodovina datoteke
Kliknite datum in čas za ogled datoteke, ki je bila takrat naložena.
| Datum in čas | Sličica | Velikost | Uporabnik | Komentar | |
|---|---|---|---|---|---|
| trenutno | 22:22, 16. april 2009 | | 1.130 × 991 (50 KB) | wikimediacommons>File Upload Bot (Magnus Manske) | {{BotMoveToCommons|en.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} {{Information |Description={{en|The cross product viewed in terms of the en:exterior product and en:Hodge dual. In red are |
Uporaba datoteke
Datoteko uporablja naslednja 1 stran:
