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Invarian (matematika) - Riwayat revisi
2026-09-15T13:18:55Z
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Maintenance script: Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi
2026-08-24T23:04:30Z
<p>Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisi sebelumnya</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisi per 24 Agustus 2026 23.04</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Baris 1:</td>
<td colspan="2" class="diff-lineno">Baris 1:</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>Dalam [[matematika]], '''invarian''' adalah sifat suatu objek matematika (atau kelas objek matematika) yang tetap tidak berubah setelah operasi atau transformasi jenis tertentu diterapkan pada objek tersebut. Kelas objek dan jenis transformasi tertentu biasanya ditunjukkan oleh konteks di mana istilah tersebut digunakan. Misalnya, luas segitiga adalah invarian terhadap isometri bidang Euclidean. Frasa "invarian di bawah" dan "invarian terhadap" transformasi keduanya digunakan. Secara lebih umum, invarian terhadap relasi ekuivalensi adalah properti yang konstan pada setiap kelas ekuivalensi.</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>Dalam [[matematika]], '''invarian''' adalah sifat suatu objek matematika (atau kelas objek matematika) yang tetap tidak berubah setelah operasi atau transformasi jenis tertentu diterapkan pada objek tersebut.<ins style="font-weight: bold; text-decoration: none;"><ref>[https://www.mathsisfun.com/definitions/invariant.html Invariant Definition (Illustrated Mathematics Dictionary)]. ''www.mathsisfun.com''.</ref><ref>Eric W. Weisstein. [http://mathworld.wolfram.com/Invariant.html Invariant]. ''mathworld.wolfram.com''.</ref> </ins>Kelas objek dan jenis transformasi tertentu biasanya ditunjukkan oleh konteks di mana istilah tersebut digunakan. Misalnya, luas segitiga adalah invarian terhadap isometri bidang Euclidean. Frasa "invarian di bawah" dan "invarian terhadap" transformasi keduanya digunakan. Secara lebih umum, invarian terhadap relasi ekuivalensi adalah properti yang konstan pada setiap kelas ekuivalensi.<ins style="font-weight: bold; text-decoration: none;"><ref>[https://www.encyclopediaofmath.org/index.php/Invariant Invariant – Encyclopedia of Mathematics]. ''www.encyclopediaofmath.org''.</ref></ins></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> </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;">== Referensi ==</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> </div></td><td colspan="2" class="diff-side-added"></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>== Pranala luar ==</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>== Pranala luar ==</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>* [http://www.u.arizona.edu/~wbraynen/software/VisualInvariants/index.html "Applet: Visual Invariants in Sorting Algorithms"] by William Braynen in 1997</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>* [http://www.u.arizona.edu/~wbraynen/software/VisualInvariants/index.html "Applet: Visual Invariants in Sorting Algorithms"] by William Braynen in 1997</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" 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> </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><ins style="font-weight: bold; text-decoration: none;">== Referensi ==</ins></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;"><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>== Sumber dan atribusi ==</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>== Sumber dan atribusi ==</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>Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Invarian+%28matematika%29&oldid=28020282 Wikipedia bahasa Indonesia], revisi 28020282 (2025-10-16T13:36:45Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</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>Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Invarian+%28matematika%29&oldid=28020282 Wikipedia bahasa Indonesia], revisi 28020282 (2025-10-16T13:36:45Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div></td></tr>
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Maintenance script: Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 28020282; atribusi sumber disertakan.
2026-08-24T22:36:16Z
<p>Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 28020282; atribusi sumber disertakan.</p>
<p><b>Halaman baru</b></p><div>Dalam [[matematika]], '''invarian''' adalah sifat suatu objek matematika (atau kelas objek matematika) yang tetap tidak berubah setelah operasi atau transformasi jenis tertentu diterapkan pada objek tersebut. Kelas objek dan jenis transformasi tertentu biasanya ditunjukkan oleh konteks di mana istilah tersebut digunakan. Misalnya, luas segitiga adalah invarian terhadap isometri bidang Euclidean. Frasa "invarian di bawah" dan "invarian terhadap" transformasi keduanya digunakan. Secara lebih umum, invarian terhadap relasi ekuivalensi adalah properti yang konstan pada setiap kelas ekuivalensi.<br />
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== Referensi ==<br />
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== Pranala luar ==<br />
* [http://www.u.arizona.edu/~wbraynen/software/VisualInvariants/index.html "Applet: Visual Invariants in Sorting Algorithms"] by William Braynen in 1997<br />
<br />
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== Sumber dan atribusi ==<br />
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Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Invarian+%28matematika%29&oldid=28020282 Wikipedia bahasa Indonesia], revisi 28020282 (2025-10-16T13:36:45Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div>
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