https://wiki.guldforum.se/w/index.php?action=history&feed=atom&title=Galileitransformation
Galileitransformation - Versionshistorik
2026-11-06T12:48:08Z
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https://wiki.guldforum.se/w/index.php?title=Galileitransformation&diff=12749&oldid=prev
Dan Olsson den 2 mars 2013 kl. 20.46
2013-03-02T20:46:00Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Äldre version</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Versionen från 2 mars 2013 kl. 15.46</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Galileitransformation''' innebär att byta referenssystem för ett fysikaliskt problem enligt</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Galileitransformation''' innebär att byta referenssystem för ett fysikaliskt problem enligt</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:<math>x\longrightarrow x-vt\,</math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:<math>x\longrightarrow x-vt\,</math></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>det vill säga genom att låta systemet förflytta sig med konstant hastighet. Inom den [[klassisk mekanik|klassiska mekaniken]] är fysiken invariant under en sådan transformation, även om <del style="font-weight: bold; text-decoration: none;">[[Einstein]]s </del>[[speciell relativitetsteori|speciella relativitetsteori]] innebär att fysiken istället måste vara invariant under [[Lorentztransformation]]:</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>det vill säga genom att låta systemet förflytta sig med konstant hastighet. Inom den [[klassisk mekanik|klassiska mekaniken]] är fysiken invariant under en sådan transformation, även om <ins style="font-weight: bold; text-decoration: none;">Einsteins </ins>[[speciell relativitetsteori|speciella relativitetsteori]] innebär att fysiken istället måste vara invariant under [[Lorentztransformation]]:</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>: <math>x \longrightarrow \frac{x' - v t'}{\sqrt{1-\frac{v^2}{c^2}}} \,</math></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>: <math>x \longrightarrow \frac{x' - v t'}{\sqrt{1-\frac{v^2}{c^2}}} \,</math></div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategori:Rörelse]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Kategori:Rörelse]]</div></td></tr>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[ca:Transformació de Galileu]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[cs:Galileovy transformace]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[en:Galilean transformation]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[es:Transformación de Galileo]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[pl:Transformacja Galileusza]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[pt:Transformação de Galileu]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[ru:Преобразования Галилея]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[sk:Galileiho transformácie]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[sl:Galilejeva transformacija]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[uk:Перетворення Галілея]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[zh:伽利略变换]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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Dan Olsson
https://wiki.guldforum.se/w/index.php?title=Galileitransformation&diff=10818&oldid=prev
Dan Olsson: 1 version
2013-02-25T15:31:55Z
<p>1 version</p>
<p><b>Ny sida</b></p><div>'''Galileitransformation''' innebär att byta referenssystem för ett fysikaliskt problem enligt<br />
:<math>x\longrightarrow x-vt\,</math><br />
det vill säga genom att låta systemet förflytta sig med konstant hastighet. Inom den [[klassisk mekanik|klassiska mekaniken]] är fysiken invariant under en sådan transformation, även om [[Einstein]]s [[speciell relativitetsteori|speciella relativitetsteori]] innebär att fysiken istället måste vara invariant under [[Lorentztransformation]]:<br />
<br />
: <math>x \longrightarrow \frac{x' - v t'}{\sqrt{1-\frac{v^2}{c^2}}} \,</math><br />
där ''c'' är [[ljushastigheten]]. Om hastigheten ''v'' är mycket mindre än ''c'' är Galileitransformen en god approximation av Lorentztransformen.<br />
<br />
[[Kategori:Mekanik]]<br />
[[Kategori:Rörelse]]<br />
<br />
[[ar:تحويل جاليليو]]<br />
[[be:Прынцып адноснасці Галілея]]<br />
[[ca:Transformació de Galileu]]<br />
[[cs:Galileovy transformace]]<br />
[[da:Galilei-transformation]]<br />
[[de:Galilei-Transformation]]<br />
[[et:Galilei teisendus]]<br />
[[el:Μετασχηματισμοί Γαλιλαίου]]<br />
[[en:Galilean transformation]]<br />
[[es:Transformación de Galileo]]<br />
[[fa:ترادیسیهای گالیله]]<br />
[[fr:Transformations de Galilée]]<br />
[[gl:Transformación de Galileo]]<br />
[[ko:갈릴레이 변환]]<br />
[[it:Trasformazione galileiana]]<br />
[[he:טרנספורמציית גליליי]]<br />
[[kk:Галилей салыстырмалылық принципі]]<br />
[[hu:Galilei-transzformáció]]<br />
[[ja:ガリレイ変換]]<br />
[[pl:Transformacja Galileusza]]<br />
[[pt:Transformação de Galileu]]<br />
[[ru:Преобразования Галилея]]<br />
[[sk:Galileiho transformácie]]<br />
[[sl:Galilejeva transformacija]]<br />
[[uk:Перетворення Галілея]]<br />
[[zh:伽利略变换]]</div>
Dan Olsson