{"id":6104,"date":"2015-07-20T18:08:47","date_gmt":"2014-09-25T13:34:38","guid":{"rendered":"http:\/\/ling-phil.mit.edu\/mithaiti\/ht\/resous\/mathlets\/"},"modified":"2019-05-29T14:45:04","modified_gmt":"2019-05-29T18:45:04","slug":"mathlets","status":"publish","type":"page","link":"https:\/\/haiti.mit.edu\/hat\/resous\/mathlets\/","title":{"rendered":"Mathlets"},"content":{"rendered":"

<\/p>\n

Nan seksyon sa a n ap jwenn tout yon seri lojisy\u00e8l matematik ki rele \u201cMathlets\u201d (oswa \u201cMatl\u00e8t\u201d an krey\u00f2l). Se ak Java yo f\u00e8t. Lojisy\u00e8l sa yo ka s\u00e8vi l\u00e8 moun ap aprann ekwasyon diferansy\u00e8l ak l\u00f2t kons\u00e8p nan matematik. Gen plizy\u00e8 egzanp sou kouman nou ka zouti nimerik sa yo pou nou f\u00e8 devwa, pou nou travay an gwoup oubyen pou nou prepare prezantasyon nan k\u00e8k kou, epi nou ka aprann teyori ki d\u00e8y\u00e8 apw\u00f2ch matematik sa yo. Nan seksyon sa a, n ap jwenn k\u00e8k videyo sou egz\u00e8sis ki gen esplikasyon v\u00e8bal ladan yo.<\/p>\n

Nou ka itilize Matl\u00e8t yo an krey\u00f2l dir\u00e8kteman sou sit
\nsa a oswa nou ka telechaje yo sou \u00f2dinat\u00e8 nou<\/a>.<\/p>\n

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Angle: https:\/\/mathlets.org<\/a><\/p>\n

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\"\"<\/a> <\/p>\n

Am\u00f2tisman Vibrasyon<\/a><\/h4>\n

Nou ka konprann degradasyon yon sist\u00e8m dezy\u00e8m \u00f2d oton\u00f2m ki kite kondisyon inisyal li pou\u00a0 l rantre ann ekilib si n itilize rasin polin\u00f2m karakteristik la yo ansanm ak dyagram faz la.<\/p>\n

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Anplitid ak Faz: Dezy\u00e8m \u00d2d I<\/a><\/h4>\n

Yon res\u00f2 ap mouvmante yon sist\u00e8m res\u00f2\/abs\u00f2b\u00e8\/mas an f\u00f2m sinizoyid. Nou kapab konprann anplitid ak reta faz previzib pou repons sist\u00e8m sinizoyid la l\u00e8 n itilize dyagram Bode ak dyagram Nyquist yo.<\/p>\n

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Anplitid ak Faz: Dezy\u00e8m \u00d2d II<\/a><\/h4>\n

Yon abs\u00f2b\u00e8 ap mouvmante yon sist\u00e8m res\u00f2\/abs\u00f2b\u00e8\/mas an f\u00f2m sinizoyid. Nou kapab konprann anplitid ak reta faz previzib pou repons sist\u00e8m sinizoyid la l\u00e8 n itilize dyagram Bode ak dyagram Nyquist yo.<\/p>\n

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Anplitid ak Faz : Premye \u00d2<\/strong>d<\/a><\/h4>\n

Vag ki rive sou yon p\u00f2, li an reta faz pa rap\u00f2 ak sa ki nan mitan lanm\u00e8 a, epi se yon ekwasyon liney\u00e8 premye \u00f2d ki kontwole l. Dyagram Bod ak Nyquist yo montre eta ekilibre a ak met\u00f2d solisyon an.<\/p>\n

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Apwoksimasyon Sekant<\/a><\/h4>\n

Sekant yo konv\u00e8je nan liy tanjant yo.<\/p>\n

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Aritmetik Konpl\u00e8ks<\/a><\/h4>\n

Nou kapab vizyalize nonb konpl\u00e8ks yo ak operasyon ki f\u00e8t sou yo nan plan konpl\u00e8ks la.<\/p>\n

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\"\"<\/a><\/p>\n

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Batman<\/a><\/h4>\n

Batman f\u00e8t l\u00e8 gen de fonksyon sinizoyid antre an sip\u00e8pozisyon. Nou kapab kapte frekans batman nan yon anvl\u00f2p.<\/p>\n

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Chan Vektory\u00e8l<\/a><\/h4>\n

Sist\u00e8m nonliney\u00e8 oton\u00f2m yo kapab genyen solisyon ki konplike, epi solisyon sa yo ka gen k\u00e8k p\u00e8t enf\u00f2masyon nan reprezantasyon trajektwa yo.\u00a0 Dabitid yo gen yon konp\u00f2tman ki pr\u00e8ske ekilibre liney\u00e8man.<\/p>\n

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Distribisyon B\u00e8ta<\/a><\/h4>\n

Distribisyon b\u00e8ta a gen depandans sou de (2) param\u00e8t.<\/p>\n

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Distribisyon Pwobabilite<\/a><\/h4>\n

Diferan distribisyon pwobabilite itil nan diferan sitiyasyon.<\/p>\n

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Distribisyon T<\/a><\/h4>\n

Distribisyon t a gen depandans sou yon (1) param\u00e8t.<\/p>\n

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Esponansy\u00e8l Konpl\u00e8ks<\/a><\/h4>\n

Fonksyon esponansy\u00e8l konpl\u00e8ks la voye liy dwat ki trav\u00e8se orijin la ale nan transf\u00f2masyon espiral.<\/p>\n

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Izoklin<\/a><\/h4>\n

Nou kapab konprann grafik pou solisyon ekwasyon premye \u00f2d yo an t\u00e8m pant ak izoklin.<\/p>\n

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Karakteristik Graf yo<\/a><\/h4>\n

P\u00f2syon graf pou polin\u00f2m kibik yo monte, desann, oswa yo konv\u00e8ks oubyen konkav.<\/p>\n

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Konpay\u00e8l Anvan Kwazman<\/a><\/h4>\n

Mizajou Bayezyen vin fasil av\u00e8k konpay\u00e8l anvan kwazman.<\/p>\n

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Konvolousyon : Antipilasyon<\/a><\/h4>\n

Entegral konvolousyon an se sip\u00e8pozisyon modil repons sakad yo.<\/p>\n

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Koyefisyan Fourier<\/a><\/h4>\n

T\u00e8m inisyal yo ki nan yon seri Fourier bay adaptasyon optimal rasin kwadratik la. Pwopriyete simetrik pou fonksyon tanjant lan det\u00e8minen ki mod Fourier nou bezwen.<\/p>\n

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Koyefisyan Fourier : Konpl\u00e8ks av\u00e8k Son<\/a><\/h4>\n

Pou koyefisyan yo nan yon seri Fourier, l\u00e8 nou gade li tankou yon s\u00f2m esponansy\u00e8l konpl\u00e8ks, nou ka pi byen panse ak yo an t\u00e8m mayitid yo ak agiman an yo. Ou ka s\u00e8lman tande mayitid yo, menm si agiman yo kapab gen anpil enfliyans sou f\u00f2m onn lan.<\/p>\n

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Met\u00f2d Euler<\/a><\/h4>\n

Depi w gen yon kondisyon inisyal ak tay eka a, yon polin\u00f2m Euler bay apwoksimasyon solisyon yon ekwasyon diferansy\u00e8l premye \u00f2d.<\/p>\n

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Polin\u00f2m Taylor<\/a><\/h4>\n

Majorite fonksyon yo gen apwoksimasyon pw\u00f2ch nenp\u00f2t pwen depi n aplike yon sekans polin\u00f2m.<\/p>\n

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P\u00f2tr\u00e8 faz Liney\u00e8: Antre Klik\u00e8<\/a><\/h4>\n

P\u00f2tr\u00e8 faz pou yon sist\u00e8m oton\u00f2m liney\u00e8 ki omoj\u00e8n depann prensipalman de tras ak det\u00e8minan matris la, men genyen de (2) degre lib\u00e8te an plis.<\/p>\n

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\"\"<\/a><\/p>\n

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Regresyon Liney\u00e8<\/a><\/h4>\n

Ou kapab ajiste k\u00e8k done av\u00e8k yon klas fonksyon\u00a0 l\u00e8 ou itilize met\u00f2d kare ki pi piti yo.<\/p>\n

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Sibl Solisyon Yo<\/a><\/h4>\n

K\u00e8k fwa solisyon yo konv\u00e8je pandan tan an ap rapousuiv, epi k\u00e8k fwa yo div\u00e8je, ki vin f\u00e8 Teyor\u00e8m Inisite a biza.<\/p>\n

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Sikwi Seri RLC<\/a><\/h4>\n

Nou kapab konprann repons sist\u00e8m la yo pou yon sikwi RLC sinizoyid ki f\u00f2se si n s\u00e8vi av\u00e8k faz\u00f2.<\/p>\n

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S\u00f2m Riemann<\/a><\/h4>\n

Nou kapab f\u00e8 apwoksimasyon yon entegral tankou yon s\u00f2m nan plizy\u00e8 fason.<\/p>\n

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Sou Kreyasyon Derive<\/a><\/h4>\n

Nou kapab f\u00e8 apwoksimasyon yon entegral tankou yon s\u00f2m nan plizy\u00e8 fason.<\/p>\n

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Trajektwa Balistik<\/a><\/h4>\n

Yon w\u00f2ch ou voye ap reyaji anba f\u00f2s gravite ak f\u00f2s rezistans ayewodinamik.<\/p>\n

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Vekte Matris<\/a><\/h4>\n

Pwodui yon matris av\u00e8k yon vekt\u00e8 depann de antre chak eleman sa yo. Vekt\u00e8 pw\u00f2p yo reprezante yon koyensidans nan direksyon.<\/p>\n

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Graf Fonksyon Rasyonel<\/a><\/h4>\n

Pol yo ak zewo yo nan yon fonksyon rasyon\u00e8l ba w posiblite pou f\u00e8 yon kwoki apwoksimatif pou grafik fonksyon an.<\/p>\n

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Pwoj\u00e8 “MIT Mathlets” sa a te k\u00f2manse devlope av\u00e8k yon b\u00e8l finansman “d’Arbeloff Fund for Excellence in Education” (Fondasyon d’Arbeloff pou ekselans nan edikasyon). Apre sa, nou jwenn asistans nan men “MIT Office of Digital Learning” (Biwo MIT pou aprantisaj ak zouti nimerik). Se finansman ke National Science Foundation oz Etazini (“National Science Foundation”) bay Inisyativ MIT-Ayiti ki p\u00e8m\u00e8t devl\u00f2pman Matl\u00e8t an krey\u00f2l sa yo.<\/span><\/p>\n\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":7,"featured_media":0,"parent":5056,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"ngg_post_thumbnail":0},"_links":{"self":[{"href":"https:\/\/haiti.mit.edu\/hat\/wp-json\/wp\/v2\/pages\/6104"}],"collection":[{"href":"https:\/\/haiti.mit.edu\/hat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/haiti.mit.edu\/hat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/haiti.mit.edu\/hat\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/haiti.mit.edu\/hat\/wp-json\/wp\/v2\/comments?post=6104"}],"version-history":[{"count":49,"href":"https:\/\/haiti.mit.edu\/hat\/wp-json\/wp\/v2\/pages\/6104\/revisions"}],"predecessor-version":[{"id":8973,"href":"https:\/\/haiti.mit.edu\/hat\/wp-json\/wp\/v2\/pages\/6104\/revisions\/8973"}],"up":[{"embeddable":true,"href":"https:\/\/haiti.mit.edu\/hat\/wp-json\/wp\/v2\/pages\/5056"}],"wp:attachment":[{"href":"https:\/\/haiti.mit.edu\/hat\/wp-json\/wp\/v2\/media?parent=6104"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}