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Pengguna:Sulhan/Algoritma - Wikipedia bahasa Indonesia, ensiklopedia bebas

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class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Peralatan halaman"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Tampilan"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Tampilan</div> <button class="vector-pinnable-header-toggle-button 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href="/wiki/Berkas:Euclid_flowchart_1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d3/Euclid_flowchart_1.png/220px-Euclid_flowchart_1.png" decoding="async" width="220" height="495" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/d/d3/Euclid_flowchart_1.png 1.5x" data-file-width="330" data-file-height="742" /></a><figcaption> <a href="/wiki/Diagram_alur" class="mw-redirect" title="Diagram alur">Diagram alur</a> dari sebuah algoritma (<a href="/w/index.php?title=Algoritma_Euclid&amp;action=edit&amp;redlink=1" class="new" title="Algoritma Euclid (halaman belum tersedia)">Algoritma Euclid</a>) untuk menghitung faktor persekutuan terbesar (f.p.k.) dari dua angka <i>a</i> dan <i>b</i> dalam lokasi bernama A dan B. Algoritma dijalankan dengan pengurangan berturut-turut dalam dua pengulangan: JIKA pengujian B &gt;= A menghasilkan "ya" (atau benar) (lebih akuratnya <i>angka</i> <i>b</i> dalam lokasi B lebih besar atau sama dengan <i>angka</i> <i>a</i> dalam lokasi A) MAKA, algoritma menentukan B ← B - A (artinya angka <i>b</i> - <i>a</i> menggantikan <i>b</i> sebelumnya). Hal yang sama, JIKA A &gt; B, MAKA A ← A - B. Proses tersebut berhenti saat (isi dari) B adalah 0, menghasilkan f.p.k. dalam A. (Algoritma tersebut diambil dari Scott 2009:13; simbol dan gaya penggambaran dari Tausworthe 1977).</figcaption></figure> <p>Dalam <a href="/wiki/Matematika" title="Matematika">matematika</a> dan <a href="/wiki/Ilmu_komputer" title="Ilmu komputer">ilmu komputer</a>, sebuah <b>algoritma</b> adalah sebuah prosedur langkah-demi-langkah untuk penghitungan. Algoritma digunakan untuk <a href="/wiki/Penghitungan" title="Penghitungan">penghitungan</a>, <a href="/wiki/Pemrosesan_data" class="mw-redirect" title="Pemrosesan data">pemrosesan data</a>, dan <a href="/w/index.php?title=Penalaran_otomatis&amp;action=edit&amp;redlink=1" class="new" title="Penalaran otomatis (halaman belum tersedia)">penalaran otomatis</a>. </p><p>Sebuah algoritma adalah sebuah <a href="/w/index.php?title=Metode_efektif&amp;action=edit&amp;redlink=1" class="new" title="Metode efektif (halaman belum tersedia)">metode efektif</a> diekspresikan sebagai sebuah rangkaian <a href="/w/index.php?title=Terbatas&amp;action=edit&amp;redlink=1" class="new" title="Terbatas (halaman belum tersedia)">terbatas</a> <sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> dari instruksi-instruksi yang telah didefinisikan <sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> untuk menghitung sebuah <a href="/wiki/Fungsi_(matematika)" title="Fungsi (matematika)">fungsi</a>. <sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> Dimulai dari sebuah kondisi awal dan input awal (mungkin <a href="/w/index.php?title=Deretan_null&amp;action=edit&amp;redlink=1" class="new" title="Deretan null (halaman belum tersedia)">kosong</a>), <sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> instruksi-instruksi tersebut menjelaskan sebuah <a href="/wiki/Komputasi" title="Komputasi">komputasi</a> yang, bila <a href="/wiki/Eksekusi_(komputasi)" title="Eksekusi (komputasi)">dieksekusi</a>, diproses lewat sejumlah urutan kondisi terbatas <sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> yang terdefinisi dengan baik, yang pada akhirnya menghasilkan "keluaran" <sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> dan berhenti di kondisi akhir. Transisi dari satu kondisi ke kondisi selanjutnya tidak harus <a href="/w/index.php?title=Deterministik&amp;action=edit&amp;redlink=1" class="new" title="Deterministik (halaman belum tersedia)">deterministik</a>; beberapa algoritma, dikenal dengan <a href="/w/index.php?title=Algoritma_pengacakan&amp;action=edit&amp;redlink=1" class="new" title="Algoritma pengacakan (halaman belum tersedia)">algoritma pengacakan</a>, menggunakan masukan acak. <sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> </p><p>Walaupun <i>agorism</i>-nya <a href="/wiki/Al-Khawarizmi" title="Al-Khawarizmi">al-Khawarizmi</a> dirujuk sebagai aturan-aturan melakukan aritmatika menggunakan bilangan Hindu-Arab dan solusi sistematis dan <a href="/wiki/Persamaan_kuadrat" title="Persamaan kuadrat">persamaan kuadrat</a>, sebagian formalisasi yang nantinya menjadi <i>algoritma</i> modern dimulai dengan usaha untuk memecahkan <a href="/w/index.php?title=Permasalahan_keputusan&amp;action=edit&amp;redlink=1" class="new" title="Permasalahan keputusan (halaman belum tersedia)">permasalahan keputusan</a> yang diajukan oleh <a href="/wiki/David_Hilbert" title="David Hilbert">David Hilbert</a> pada tahun 1928. Formalisasi selanjutnya dilihat sebagai usaha untuk menentukan "<a href="/w/index.php?title=Penghitungan_efektif&amp;action=edit&amp;redlink=1" class="new" title="Penghitungan efektif (halaman belum tersedia)">penghitungan efektif</a>" <sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup> atau "metode efektif"; <sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> formalisasi tersebut mengikutkan <a href="/w/index.php?title=Rekursi_(ilmu_komputer)&amp;action=edit&amp;redlink=1" class="new" title="Rekursi (ilmu komputer) (halaman belum tersedia)">fungsi rekursif</a>-nya <a href="/wiki/Kurt_Godel" class="mw-redirect" title="Kurt Godel">Kurt Godel</a> - <a href="/w/index.php?title=Jacques_Herbrand&amp;action=edit&amp;redlink=1" class="new" title="Jacques Herbrand (halaman belum tersedia)">Jacques Herbrand</a> - <a href="/w/index.php?title=Stephen_Cole_Kleene&amp;action=edit&amp;redlink=1" class="new" title="Stephen Cole Kleene (halaman belum tersedia)">Stephen Cole Kleene</a> pada tahun 1930, 1934, dan 1935, <a href="/w/index.php?title=Kalkulus_lambda&amp;action=edit&amp;redlink=1" class="new" title="Kalkulus lambda (halaman belum tersedia)">kalkulus lambda</a>-nya <a href="/wiki/Alonzo_Church" title="Alonzo Church">Alonzo Church</a> pada tahun 1936, "<a href="/w/index.php?title=Formulasi_1&amp;action=edit&amp;redlink=1" class="new" title="Formulasi 1 (halaman belum tersedia)">Formulasi 1</a>"-nya <a href="/w/index.php?title=Emil_Post&amp;action=edit&amp;redlink=1" class="new" title="Emil Post (halaman belum tersedia)">Emil Post</a> pada tahun 1936, dan <a href="/wiki/Mesin_Turing" title="Mesin Turing">Mesin Turing</a>-nya <a href="/wiki/Alan_Turing" title="Alan Turing">Alan Turing</a> pada tahun 1936, 1937 dan 1939. Memberikan sebuah definisi formal dari algoritma, berkaitan dengan konsep intuituf, masih tetap menjadi masalah yang menantang. <sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Catatan">Catatan</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pengguna:Sulhan/Algoritma&amp;veaction=edit&amp;section=1" title="Sunting bagian: Catatan" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pengguna:Sulhan/Algoritma&amp;action=edit&amp;section=1" title="Sunting kode sumber bagian: Catatan"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r18833634">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist reflist-columns references-column-width" style="column-width: 30em;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"> "Setiap algoritma klasik, misalnya, bisa dijelaskan dengan sejumlah kata bahasa Inggris yang terbatas" (Rogers 1987:2).</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"> Telah didefinisikan terhadap agen yang menjalankan algoritma tersebut: "Ada agen komputasi, biasanya manusia, yang bisa beraksi terhadap instruksi dan melakukan komputasi" (Rogers 1987:2).</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"> "Sebuah algoritma adalah sebuah prosedur untuk menghitung sebuah <i>fungsi</i> (terhadap beberapa notasi terpilih integer) ... batasan ini (terhadap fungsi bilangan) tanpa kehilangan generalisasi", (Rogers 1987:1).</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"> Sebuah algoritma memiliki input <a href="/wiki/Nol" class="mw-redirect" title="Nol">nol</a> atau lebih, yaitu, <a href="/w/index.php?title=Kuantitas&amp;action=edit&amp;redlink=1" class="new" title="Kuantitas (halaman belum tersedia)">kuantitas</a> yang diberikan padanya sejak awal sebelum algoritma dijalankan" (Knuth 1973:5).</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"> ""Sebuah prosedur yang memiliki semua karakteristik dari sebuah algoritma kecuali prosedur tidak memiliki keterbatasan bisa disebut sebuah 'metode komputasi'" (Knuth 1973:5).</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"> "Sebuah algoritma memiliki satu atau lebih keluaran, yaitu kuantitas yang memiliki relasi tertentu terhadap masukan" (Knuth 1973:5).</span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"> Apakah sebuah proses dengan proses-proses bagian dalam yang acak (tidak termasuk masukan) adalah sebuah algoritma atau bukan masih diperdebatkan. Rogers beropini bahwa: "sebuah komputasi dilakukan dengan sebuah gaya diskrit bertahap, tanpa menggunakan metode-metode berkelanjutan atau perangkat analog ... dijalakan terus secara deterministik, tanpa menggunakan metode-metode atau perangkat acak, misalnya, dadu" Rogers 1987:2</span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"> Kleene 1943 dalam Davis 1965:274</span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"> Rosser 1939 dalam Davis 1965:225</span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><cite class="citation book">Moschovakis, Yiannis N. (2001). "What is an algorithm?". Dalam Engquist, B.; Schmid, W. <a rel="nofollow" class="external text" href="http://citeseer.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.8093"><i>Mathematics Unlimited — 2001 and beyond</i></a>. Springer. hlm.&#160;919–936 (Part II). <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a>&#160;<a href="/wiki/Istimewa:Sumber_buku/9783540669135" title="Istimewa:Sumber buku/9783540669135">9783540669135</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=What+is+an+algorithm%3F&amp;rft.btitle=Mathematics+Unlimited+%E2%80%94+2001+and+beyond&amp;rft.pages=919-936+%28Part+II%29&amp;rft.pub=Springer&amp;rft.date=2001&amp;rft.isbn=9783540669135&amp;rft.aulast=Moschovakis&amp;rft.aufirst=Yiannis+N.&amp;rft_id=http%3A%2F%2Fciteseer.ist.psu.edu%2Fviewdoc%2Fsummary%3Fdoi%3D10.1.1.32.8093&amp;rfr_id=info%3Asid%2Fid.wikipedia.org%3APengguna%3ASulhan%2FAlgoritma" class="Z3988"><span style="display:none;">&#160;</span></span></span> </li> </ol></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐7959fbf7c4‐92bvz Cached time: 20241212180445 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.075 seconds Real time usage: 0.100 seconds Preprocessor visited node count: 269/1000000 Post‐expand include size: 2351/2097152 bytes Template argument size: 32/2097152 bytes Highest expansion depth: 8/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 6379/5000000 bytes Lua time usage: 0.020/10.000 seconds Lua memory usage: 1469894/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 72.006 1 Templat:Reflist 100.00% 72.006 1 -total 67.02% 48.261 1 Templat:Cite_book 2.47% 1.780 1 Templat:Main_other --> <!-- Saved in parser cache with key idwiki:pcache:1192871:|#|:idhash:canonical and timestamp 20241212180445 and revision id 11428133. 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