{"id":696676,"date":"2024-06-07T17:50:08","date_gmt":"2024-06-07T17:50:08","guid":{"rendered":"https:\/\/talkpal.ai\/vocabulary\/laskenta-ja-matematiikan-sanat-makedoniaksi\/"},"modified":"2024-06-07T17:50:08","modified_gmt":"2024-06-07T17:50:08","slug":"laskenta-ja-matematiikan-sanat-makedoniaksi","status":"publish","type":"vocabulary","link":"https:\/\/talkpal.ai\/fi\/vocabulary\/laskenta-ja-matematiikan-sanat-makedoniaksi\/","title":{"rendered":"Laskenta- ja matematiikan sanat makedoniaksi"},"content":{"rendered":"

Matematiikan ja laskennan maailmassa on paljon erikoistermej\u00e4, jotka voivat olla haastavia oppia uudella kielell\u00e4. T\u00e4ss\u00e4 artikkelissa keskitymme makedonian kielen keskeisiin laskenta- ja matematiikkasanoihin. Jokaisen sanan kohdalla annamme m\u00e4\u00e4ritelm\u00e4n suomeksi ja esimerkkilauseen makedoniaksi. Toivottavasti t\u00e4m\u00e4 auttaa sinua ymm\u00e4rt\u00e4m\u00e4\u00e4n ja oppimaan n\u00e4m\u00e4 t\u00e4rke\u00e4t termit paremmin.<\/p>\n

Peruslaskutoimitukset<\/h2>\n

\u0421\u043e\u0431\u0438\u0440\u0430\u045a\u0435<\/b> – Yhteenlasku. Yhteenlasku on peruslaskutoimitus, jossa lasketaan yhteen kaksi tai<\/a> useampia lukuja.<\/p>\n

\u0421\u043e\u0431\u0438\u0440\u0430\u045a\u0435\u0442\u043e \u043d\u0430 \u0431\u0440\u043e\u0435\u0432\u0438\u0442\u0435 \u0435 \u043e\u0441\u043d\u043e\u0432\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0458\u0430.<\/font><\/p>\n

\u041e\u0434\u0437\u0435\u043c\u0430\u045a\u0435<\/b> – V\u00e4hennyslasku. V\u00e4hennyslasku on peruslaskutoimitus, jossa yhdest\u00e4 luvusta v\u00e4hennet\u00e4\u00e4n toinen luku.<\/p>\n

\u041e\u0434\u0437\u0435\u043c\u0430\u045a\u0435\u0442\u043e \u0435 \u0438\u0441\u0442\u043e \u0442\u0430\u043a\u0430 \u0432\u0430\u0436\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043a\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0458\u0430.<\/font><\/p>\n

\u041c\u043d\u043e\u0436\u0435\u045a\u0435<\/b> – Kertolasku. Kertolasku on peruslaskutoimitus, jossa lasketaan, kuinka monta kertaa yksi luku sis\u00e4ltyy toiseen.<\/p>\n

\u041c\u043d\u043e\u0436\u0435\u045a\u0435\u0442\u043e \u043d\u0430 \u0431\u0440\u043e\u0435\u0432\u0438\u0442\u0435 \u0435 \u043a\u043e\u0440\u0438\u0441\u043d\u043e \u0437\u0430 \u0441\u0435\u043a\u043e\u0458\u0434\u043d\u0435\u0432\u043d\u0438 \u043f\u0440\u0435\u0441\u043c\u0435\u0442\u043a\u0438.<\/font><\/p>\n

\u0414\u0435\u043b\u0435\u045a\u0435<\/b> – Jakolasku. Jakolasku on peruslaskutoimitus, jossa yksi luku jaetaan toisen luvun kanssa.<\/p>\n

\u0414\u0435\u043b\u0435\u045a\u0435\u0442\u043e \u0435 \u043f\u043e\u0442\u0440\u0435\u0431\u043d\u043e \u0437\u0430 \u043f\u0440\u0435\u0446\u0438\u0437\u043d\u0438 \u0440\u0435\u0437\u0443\u043b\u0442\u0430\u0442\u0438.<\/font><\/p>\n

Matemaattiset termit<\/h2>\n

\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/b> – Ratkaisu. Ratkaisu on vastaus matemaattiseen ongelmaan tai yht\u00e4l\u00f6\u00f6n.<\/p>\n

\u0420\u0435\u0448\u0435\u043d\u0438\u0435\u0442\u043e \u043d\u0430 \u0437\u0430\u0434\u0430\u0447\u0430\u0442\u0430 \u0435 \u0442\u043e\u0447\u043d\u043e.<\/font><\/p>\n

\u0415\u0434\u043d\u0430\u043a\u0432\u043e\u0441\u0442<\/b> – Yht\u00e4l\u00f6. Yht\u00e4l\u00f6 on matemaattinen lauseke, jossa kaksi ilmaisua ovat yht\u00e4 suuret.<\/p>\n

\u041e\u0432\u0430\u0430 \u0435\u0434\u043d\u0430\u043a\u0432\u043e\u0441\u0442 \u0438\u043c\u0430 \u043c\u043d\u043e\u0433\u0443 \u0440\u0435\u0448\u0435\u043d\u0438\u0458\u0430.<\/font><\/p>\n

\u041f\u0430\u0440\u0430\u0431\u043e\u043b\u0430<\/b> – Paraabeli. Paraabeli on kaareva viiva, joka on symmetrinen suhteessa tiettyyn akseliin.<\/p>\n

\u0413\u0440\u0430\u0444\u0438\u043a\u043e\u0442 \u043d\u0430 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0430\u0442\u0430 \u0435 \u0441\u0438\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u043d.<\/font><\/p>\n

\u041f\u0440\u0435\u0441\u0435\u043a<\/b> – Leikkauspiste. Leikkauspiste on kohta, jossa kaksi viivaa tai k\u00e4yr\u00e4\u00e4 kohtaavat.<\/p>\n

\u041f\u0440\u0435\u0441\u0435\u043a\u043e\u0442 \u043d\u0430 \u0434\u0432\u0435\u0442\u0435 \u043b\u0438\u043d\u0438\u0438 \u0435 \u0432\u043e \u043e\u0432\u0430\u0430 \u0442\u043e\u0447\u043a\u0430.<\/font><\/p>\n

\u041e\u0431\u0435\u043c<\/b> – Ymp\u00e4rysmitta. Ymp\u00e4rysmitta on geometrisen muodon reunan pituus.<\/p>\n

\u041e\u0431\u0435\u043c\u043e\u0442 \u043d\u0430 \u043a\u0440\u0443\u0433\u043e\u0442 \u0435 \u043b\u0435\u0441\u043d\u043e \u0434\u0430 \u0441\u0435 \u043f\u0440\u0435\u0441\u043c\u0435\u0442\u0430.<\/font><\/p>\n

\u041f\u043b\u043e\u0448\u0442\u0438\u043d\u0430<\/b> – Pinta-ala. Pinta-ala on kahden ulottuvuuden alue, jonka jokin muoto kattaa.<\/p>\n

\u041f\u043b\u043e\u0448\u0442\u0438\u043d\u0430\u0442\u0430 \u043d\u0430 \u043f\u0440\u0430\u0432\u043e\u0430\u0433\u043e\u043b\u043d\u0438\u043a\u043e\u0442 \u0435 \u0434\u043e\u043b\u0436\u0438\u043d\u0430 \u043f\u0430\u0442\u0438 \u0448\u0438\u0440\u0438\u043d\u0430.<\/font><\/p>\n

Geometriset muodot<\/h2>\n

\u041a\u0440\u0443\u0433<\/b> – Ympyr\u00e4. Ympyr\u00e4 on tasainen, suljettu k\u00e4yr\u00e4, jossa kaikki pisteet ovat yht\u00e4 kaukana keskipisteest\u00e4.<\/p>\n

\u041a\u0440\u0443\u0433\u043e\u0442 \u0438\u043c\u0430 \u0441\u0430\u043c\u043e \u0435\u0434\u043d\u0430 \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u043d\u0430 \u0442\u043e\u0447\u043a\u0430.<\/font><\/p>\n

\u041f\u0440\u0430\u0432\u043e\u0430\u0433\u043e\u043b\u043d\u0438\u043a<\/b> – Suorakulmio. Suorakulmio on nelikulmainen tasokuvio, jossa kaikki kulmat ovat suoria.<\/p>\n

\u041f\u0440\u0430\u0432\u043e\u0430\u0433\u043e\u043b\u043d\u0438\u043a\u043e\u0442 \u0438\u043c\u0430 \u0447\u0435\u0442\u0438\u0440\u0438 \u043f\u0440\u0430\u0432\u0438 \u0430\u0433\u043b\u0438.<\/font><\/p>\n

\u0422\u0440\u0438\u0430\u0433\u043e\u043b\u043d\u0438\u043a<\/b> – Kolmio. Kolmio on tasokuvio, jossa on kolme sivua ja kolme kulmaa.<\/p>\n

\u0422\u0440\u0438\u0430\u0433\u043e\u043b\u043d\u0438\u043a\u043e\u0442 \u0435 \u043d\u0430\u0458\u043f\u0440\u043e\u0441\u0442\u0430\u0442\u0430 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0441\u043a\u0430 \u0444\u043e\u0440\u043c\u0430.<\/font><\/p>\n

\u041a\u0432\u0430\u0434\u0440\u0430\u0442<\/b> – Neli\u00f6. Neli\u00f6 on nelikulmainen tasokuvio, jossa kaikki sivut ovat yht\u00e4 pitk\u00e4t ja kaikki kulmat ovat suoria.<\/p>\n

\u041a\u0432\u0430\u0434\u0440\u0430\u0442\u043e\u0442 \u0438\u043c\u0430 \u0447\u0435\u0442\u0438\u0440\u0438 \u0435\u0434\u043d\u0430\u043a\u0432\u0438 \u0441\u0442\u0440\u0430\u043d\u0438.<\/font><\/p>\n

\u041f\u0430\u0440\u0430\u043b\u0435\u043b\u043e\u0433\u0440\u0430\u043c<\/b> – Rinnakkaisnelikulmio. Rinnakkaisnelikulmio on nelikulmio, jossa vastakkaiset sivut ovat samansuuntaisia ja yht\u00e4 pitk\u00e4t.<\/p>\n

\u041f\u0430\u0440\u0430\u043b\u0435\u043b\u043e\u0433\u0440\u0430\u043c\u043e\u0442 \u0438\u043c\u0430 \u0434\u0432\u0435 \u043f\u0430\u0440\u0430\u043b\u0435\u043b\u043d\u0438 \u0441\u0442\u0440\u0430\u043d\u0438.<\/font><\/p>\n

Muut matematiikan k\u00e4sitteet<\/h2>\n

\u0412\u0435\u043a\u0442\u043e\u0440<\/b> – Vektori. Vektori on matemaattinen objekti, jolla on suunta ja suuruus.<\/p>\n

\u0412\u0435\u043a\u0442\u043e\u0440\u043e\u0442 \u0433\u043e \u043f\u0440\u0435\u0442\u0441\u0442\u0430\u0432\u0443\u0432\u0430 \u0434\u0432\u0438\u0436\u0435\u045a\u0435\u0442\u043e \u0432\u043e \u043f\u0440\u043e\u0441\u0442\u043e\u0440\u043e\u0442.<\/font><\/p>\n

\u041c\u0430\u0442\u0440\u0438\u0446\u0430<\/b> – Matriisi. Matriisi on suorakulmainen taulukko lukuja, joita k\u00e4ytet\u00e4\u00e4n erityisesti lineaarialgebrassa.<\/p>\n

\u041c\u0430\u0442\u0440\u0438\u0446\u0430\u0442\u0430 \u0435 \u0432\u0430\u0436\u043d\u0430 \u0432\u043e \u043b\u0438\u043d\u0435\u0430\u0440\u043d\u0430\u0442\u0430 \u0430\u043b\u0433\u0435\u0431\u0440\u0430.<\/font><\/p>\n

\u0414\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0430\u043d\u0442\u0430<\/b> – Determinantti. Determinantti on matriisiin liittyv\u00e4 arvo, joka kertoo matriisin k\u00e4\u00e4nnett\u00e4vyyden.<\/p>\n

\u0414\u0435\u0442\u0435\u0440\u043c\u0438\u043d\u0430\u043d\u0442\u0430\u0442\u0430 \u043d\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u0430\u0442\u0430 \u0435 \u043d\u0443\u043b\u0430.<\/font><\/p>\n

\u0424\u0443\u043d\u043a\u0446\u0438\u0458\u0430<\/b> – Funktio. Funktio on matemaattinen lauseke, joka kuvaa riippuvuuden muuttujien v\u00e4lill\u00e4.<\/p>\n

\u0424\u0443\u043d\u043a\u0446\u0438\u0458\u0430\u0442\u0430 y = x\u00b2 \u0435 \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0438\u0447\u043d\u0430.<\/font><\/p>\n

\u0413\u0440\u0430\u0444\u0438\u043a<\/b> – Graafi. Graafi on kuvio, joka esitt\u00e4\u00e4 funktioiden tai yht\u00e4l\u00f6iden arvoja.<\/p>\n

\u0413\u0440\u0430\u0444\u0438\u043a\u043e\u0442 \u043d\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0458\u0430\u0442\u0430 \u043f\u043e\u043a\u0430\u0436\u0443\u0432\u0430 \u043a\u0430\u043a\u043e \u0441\u0435 \u043c\u0435\u043d\u0443\u0432\u0430 y \u0441\u043e x.<\/font><\/p>\n

\u0410\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430<\/b> – Asymptootti. Asymptootti on suora, jota k\u00e4yr\u00e4 l\u00e4hestyy mutta ei koskaan saavuta.<\/p>\n

\u0410\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430\u0442\u0430 \u043d\u0430 \u043e\u0432\u0430\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0458\u0430 \u0435 x = 0.<\/font><\/p>\n

Trigonometrian k\u00e4sitteet<\/h2>\n

\u0421\u0438\u043d\u0443\u0441<\/b> – Sin. Sin on trigonometrinen funktio, joka kuvaa suhdetta suorakulmaisen kolmion vastakkaisen sivun ja hypotenuusan v\u00e4lill\u00e4.<\/p>\n

\u0421\u0438\u043d\u0443\u0441\u043e\u0442 \u043d\u0430 \u0430\u0433\u043e\u043b\u043e\u0442 \u0435 0.5.<\/font><\/p>\n

\u041a\u043e\u0441\u0438\u043d\u0443\u0441<\/b> – Kos<\/a>. Kos on trigonometrinen funktio, joka kuvaa suhdetta suorakulmaisen kolmion viereisen sivun ja hypotenuusan v\u00e4lill\u00e4.<\/p>\n

\u041a\u043e\u0441\u0438\u043d\u0443\u0441\u043e\u0442 \u043d\u0430 \u0430\u0433\u043e\u043b\u043e\u0442 \u0435 0.866.<\/font><\/p>\n

\u0422\u0430\u043d\u0433\u0435\u043d\u0441<\/b> – Tang. Tang on trigonometrinen funktio, joka kuvaa suhdetta suorakulmaisen kolmion vastakkaisen sivun ja viereisen sivun v\u00e4lill\u00e4.<\/p>\n

\u0422\u0430\u043d\u0433\u0435\u043d\u0441\u043e\u0442 \u043d\u0430 \u0430\u0433\u043e\u043b\u043e\u0442 \u0435 1.<\/font><\/p>\n

\u041a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441<\/b> – Kotang. Kotang on trigonometrinen funktio, joka on tangentin k\u00e4\u00e4nteisarvo.<\/p>\n

\u041a\u043e\u0442\u0430\u043d\u0433\u0435\u043d\u0441\u043e\u0442 \u043d\u0430 \u0430\u0433\u043e\u043b\u043e\u0442 \u0435 1.<\/font><\/p>\n

\u0425\u0438\u043f\u043e\u0442\u0435\u043d\u0443\u0437\u0430<\/b> – Hypotenuusa. Hypotenuusa on suorakulmaisen kolmion pisin sivu, joka on vastap\u00e4\u00e4t\u00e4 suorakulmaa.<\/p>\n

\u0425\u0438\u043f\u043e\u0442\u0435\u043d\u0443\u0437\u0430\u0442\u0430 \u0435 \u043d\u0430\u0458\u0434\u043e\u043b\u0433\u0430\u0442\u0430 \u0441\u0442\u0440\u0430\u043d\u0430 \u043d\u0430 \u0442\u0440\u0438\u0430\u0433\u043e\u043b\u043d\u0438\u043a\u043e\u0442.<\/font><\/p>\n

\u0410\u0433\u043e\u043b<\/b> – Kulma. Kulma on kahden suoran tai s\u00e4teen v\u00e4linen tila<\/a>, joka mitataan asteina.<\/p>\n

\u0410\u0433\u043e\u043b\u043e\u0442 \u043e\u0434 90 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0441\u0435 \u043d\u0430\u0440\u0435\u043a\u0443\u0432\u0430 \u043f\u0440\u0430\u0432 \u0430\u0433\u043e\u043b.<\/font><\/p>\n

Tilastot ja todenn\u00e4k\u00f6isyys<\/h3>\n

\u0421\u0440\u0435\u0434\u043d\u0430 \u0432\u0440\u0435\u0434\u043d\u043e\u0441\u0442<\/b> – Keskiarvo. Keskiarvo on joukkoarvojen summa jaettuna niiden lukum\u00e4\u00e4r\u00e4ll\u00e4.<\/p>\n

\u0421\u0440\u0435\u0434\u043d\u0430\u0442\u0430 \u0432\u0440\u0435\u0434\u043d\u043e\u0441\u0442 \u043d\u0430 \u0431\u0440\u043e\u0435\u0432\u0438\u0442\u0435 \u0435 5.<\/font><\/p>\n

\u041c\u0435\u0434\u0438\u0458\u0430\u043d\u0430<\/b> – Mediaani. Mediaani on keskimm\u00e4inen arvo, kun joukkoarvot j\u00e4rjestet\u00e4\u00e4n suuruusj\u00e4rjestykseen.<\/p>\n

\u041c\u0435\u0434\u0438\u0458\u0430\u043d\u0430\u0442\u0430 \u043d\u0430 \u043e\u0432\u0430\u0430 \u0441\u0435\u0440\u0438\u0458\u0430 \u0431\u0440\u043e\u0435\u0432\u0438 \u0435 7.<\/font><\/p>\n

\u041c\u043e\u0434\u0443\u0441<\/b> – Moodi. Moodi on yleisin arvo joukossa.<\/p>\n

\u041c\u043e\u0434\u0443\u0441\u043e\u0442 \u043d\u0430 \u043e\u0432\u0430\u0430 \u0441\u0435\u0440\u0438\u0458\u0430 \u0431\u0440\u043e\u0435\u0432\u0438 \u0435 3.<\/font><\/p>\n

\u0412\u0430\u0440\u0438\u0458\u0430\u043d\u0441\u0430<\/b> – Varianssi. Varianssi on mitta, joka kuvaa arvojen hajontaa keskiarvosta.<\/p>\n

\u0412\u0430\u0440\u0438\u0458\u0430\u043d\u0441\u0430\u0442\u0430 \u043d\u0430 \u043f\u043e\u0434\u0430\u0442\u043e\u0446\u0438\u0442\u0435 \u0435 \u0433\u043e\u043b\u0435\u043c\u0430.<\/font><\/p>\n

\u0421\u0442\u0430\u043d\u0434\u0430\u0440\u0434\u043d\u0430 \u0434\u0435\u0432\u0438\u0458\u0430\u0446\u0438\u0458\u0430<\/b> – Keskihajonta. Keskihajonta on varianssin neli\u00f6juuri, joka mittaa hajontaa.<\/p>\n

\u0421\u0442\u0430\u043d\u0434\u0430\u0440\u0434\u043d\u0430\u0442\u0430 \u0434\u0435\u0432\u0438\u0458\u0430\u0446\u0438\u0458\u0430 \u0435 2.5.<\/font><\/p>\n

\u0412\u0435\u0440\u043e\u0458\u0430\u0442\u043d\u043e\u0441\u0442<\/b> – Todenn\u00e4k\u00f6isyys. Todenn\u00e4k\u00f6isyys on mitta siit\u00e4, kuinka todenn\u00e4k\u00f6isesti tietty tapahtuma tapahtuu.<\/p>\n

\u0412\u0435\u0440\u043e\u0458\u0430\u0442\u043d\u043e\u0441\u0442\u0430 \u0437\u0430 \u043f\u043e\u0431\u0435\u0434\u0430 \u0435 50%.<\/font><\/p>\n

\u0418\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u043d\u0430 \u0434\u043e\u0432\u0435\u0440\u0431\u0430<\/b> – Luottamusv\u00e4li. Luottamusv\u00e4li on tilastollinen alue, jossa tietyn parametrin arvo todenn\u00e4k\u00f6isesti sijaitsee.<\/p>\n

\u0418\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u043e\u0442 \u043d\u0430 \u0434\u043e\u0432\u0435\u0440\u0431\u0430 \u0435 \u043e\u0434 4 \u0434\u043e 6.<\/font><\/p>\n

\u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043d\u0430 \u043a\u043e\u0440\u0435\u043b\u0430\u0446\u0438\u0458\u0430<\/b> – Korrelaatiokerroin. Korrelatiokerroin mittaa kahden muuttujan v\u00e4lisen lineaarisen suhteen voimakkuutta.<\/p>\n

\u041a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0442 \u043d\u0430 \u043a\u043e\u0440\u0435\u043b\u0430\u0446\u0438\u0458\u0430 \u0435 0.8.<\/font><\/p>\n

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