| Information | |
|---|---|
| has gloss | (noun) the exponent required to produce a given number logarithm, log |
| has gloss | eng: In mathematics, the logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce the number. For example, the logarithm of 1000 to base: 10 is 3, because 3 is the power to which ten must be raised to produce 1000: 103 = 1000, so log101000 = 3. Only positive real numbers have real number logarithms, negative and complex numbers have complex logarithms. |
| has gloss | eng: Logarithms or logs are a part of mathematics. They are related to exponential functions, and useful in multiplying or dividing large numbers. |
| lexicalization | eng: Logarithms |
| lexicalization | eng: logarithm |
| lexicalization | eng: log |
| subclass of | (noun) a mathematical notation indicating the number of times a quantity is multiplied by itself exponent, index, power |
| has subclass | (noun) a logarithm to the base 10 common logarithm |
| has subclass | (noun) a logarithm to the base e natural logarithm, Napierian logarithm |
| has instance | e/da/Eksponentiel udvikling |
| has instance | e/de/Antilogarithmus |
| has instance | e/Binary logarithm |
| has instance | e/Cologarithm |
| has instance | e/Complex logarithm |
| has instance | e/Discrete logarithm |
| has instance | e/Indefinite logarithm |
| has instance | e/Iterated logarithm |
| has instance | e/List of logarithmic identities |
| has instance | e/Logarithm of a matrix |
| has instance | e/Logarithmic convolution |
| has instance | e/Logarithmic growth |
| has instance | e/Mercator series |
| has instance | e/Natural logarithm |
| has instance | e/Super-logarithm |
| has instance | e/es/Logaritmo en base imaginaria |
| has instance | e/he/לוח לוגריתמים |
| has instance | e/zh/对数的多项式 |
| has instance | e/zh/对数表 |
| Meaning | |
|---|---|
| Arabic | |
| has gloss | ara: اللوغريتمات: تسمى اللغوريتمات في علوم الجبر بالأدلة أو الأسس، ويستعمل الأس للتعبير عن رقم مضروب عدة مرات، على سبيل المثال: 5×5×5= 53 = 125، فالرقم 3 هو الأس أما الرقم 5 فهو الأساس، ويمكن التعبير عن هذه المعادلة بطريقة اللوغريتمات: 3 لوغريتم 125 للأساس 5، أو بإختصار لو 1255 = 3. |
| lexicalization | ara: لوغاريتمات |
| lexicalization | ara: لوغاريتم |
| Asturian | |
| lexicalization | ast: llogaritmu |
| Bengali | |
| lexicalization | ben: লগারিদম |
| Bosnian | |
| has gloss | bos: U matematici, logaritam datog broja za datu bazu je stepen na koji treba podići bazu da bi dobili dati broj. Na primjer, logaritam od 1000 za bazu 10 je 3, jer je 10 na 3 (deset na treću) 1000. Generalno, za broj x, bazu b i stepen n se računa: |
| lexicalization | bos: logaritam |
| lexicalization | bos: Logaritmi |
| Breton | |
| has gloss | bre: Er matematikoù, ur fonksion logaritm a zo ur fonksion f termenet war \R^*_+ gant talvoudoù e-barzh \R, kendalc'hus, nann digemm, hag o treuzfurmiñ ur rannadenn en ur sammad, da lâret eo o wiriañ : :\forall a, b \in \R^*_+,\ f(a\cdot b)=f(a)+f(b) |
| lexicalization | bre: logaritm |
| Bulgarian | |
| has gloss | bul: Логаритъм е единственото реално решение на уравнението а х = b, където а е реално положително число, различно от единица , а b е само реално положително число. Логаритъмът е степенният показател x, на който повдигаме основата на степента a, за да получим числото b. |
| lexicalization | bul: логаритъм |
| Catalan | |
| has gloss | cat: El logaritme, és una operació aritmètica provinent de la potència. Consisteix en trobar lexponent duna potència donada per una base també donada. |
| lexicalization | cat: logaritme |
| Czech | |
| has gloss | ces: Logaritmus je matematická funkce, která je inverzní k exponenciální funkci. Logaritmus kladného reálného čísla x při základu a (a ∈ R+- 1} ) je takové reálné číslo : y = \log_a x \,\!, pro které platí : a^y = x \,\!. |
| lexicalization | ces: logaritmus |
| Mandarin Chinese | |
| lexicalization | cmn: duì shu |
| lexicalization | cmn: zhēn shu |
| lexicalization | cmn: 对数 |
| lexicalization | cmn: 對數 |
| lexicalization | cmn: 真数 |
| lexicalization | cmn: 真數 |
| Welsh | |
| lexicalization | cym: logarithm |
| Danish | |
| has gloss | dan: Logaritmer er en klasse af matematiske funktioner \log_a, der opfylder :\log_a(a^x)=x |
| lexicalization | dan: Logaritme |
| German | |
| has gloss | deu: Der Logarithmus (Mehrzahl: Logarithmen; von altgriechisch lógos „Verständnis, Lehre, Verhältnis“, sowie altgriechisch arithmós „Zahl“; der Logarithmus ist somit eine „Verhältniszahl“, wie unten erläutert) gehört zu den elementaren mathematischen Funktionen. |
| lexicalization | deu: Logarithmus |
| Modern Greek (1453-) | |
| has gloss | ell: Στα μαθηματικά, λογάριθμος ενός αριθμού χαρακτηρίζεται ο εκθέτης εκείνος που με συγκεκριμένη βάση θα πρέπει να υψωθεί προκειμένου να δώσει αυτόν τον αριθμό. |
| lexicalization | ell: λογάριθμος |
| Esperanto | |
| has gloss | epo: La logaritmo de iu nombro y je iu bazo a estas tiu nombro x, por kiu validas |
| lexicalization | epo: logaritmo |
| lexicalization | epo: Logaritmoj |
| Estonian | |
| has gloss | est: Arv x on arvu b logaritm alusel a, kui b = a^x ehk arv x on astendaja (eksponent), millega arvu a astendades on tulemuseks arv b ehk : \log_ab} = x \, \iff \, b = a^x \ . |
| lexicalization | est: logaritm |
| Basque | |
| has gloss | eus: Matematikan, zenbaki baten logaritmoa, oinarri zenbaki bati buruz, oinarri zenbakia edo besterik gabe oinarria berarekin behin eta berriz biderkatu beharreko aldi kopurua da, emaitza logaritmoa kalkulatu nahi den zenbakia izan dadin. Berreketaz, oinarria berretu beharreko zenbakia da, emaitza logaritmoa kalkulatu nahi den zenbakia izan dadin. Adibidez, 1000 zenbakiaren logaritmoa, oinarri 10 edo 10 oinarriari buruz, 3 da (eta honela idatzen da: log101000 = 3) hau betetzen baita: 10 × 10 × 10 =103 = 1000. Beste adibide bat: 2 × 2 × 2 × 2 × 2=25 betetzen denez, log232 = 5. |
| lexicalization | eus: logaritmo |
| Persian | |
| has gloss | fas: لگاریتم یک عدد در یک پایه، توانی از پایه است که برابر آن عدد است. تابع لُگاريتم معکوس تابع نمایی است. به زبان ریاضی: |
| lexicalization | fas: لگاریتم |
| Finnish | |
| has gloss | fin: Logaritmifunktio on eksponenttifunktion käänteisfunktio. Toisin sanoen luvun logaritmin määrittelee ekvivalenssi |
| lexicalization | fin: logaritmi |
| French | |
| has gloss | fra: En mathématiques, une fonction logarithme est une fonction f définie sur \R^*_+ à valeurs dans \R, continue, non constante, et transformant un produit en somme, c'est-à-dire vérifiant : :\forall a, b \in \R^*_+,\ f(a\cdot b)=f(a)+f(b) |
| lexicalization | fra: logarithme |
| lexicalization | fra: Logarithme |
| Galician | |
| has gloss | glg: En matemáticas, o logaritmo de x con base b, é o expoñente ou potencia á que a base se ten que elevar para dar un número dado. |
| lexicalization | glg: logaritmo |
| Hebrew | |
| has gloss | heb: במתמטיקה, לוגריתם (Logarithm) הוא פונקציה הפוכה לפונקציה המעריכית. הפונקציה מסומנת באותיות \ \log. |
| lexicalization | heb: לוגריתם |
| lexicalization | heb: לוגריתמים |
| Hindi | |
| lexicalization | hin: लघुगणक |
| lexicalization | hin: laGugaNaka |
| Croatian | |
| has gloss | hrv: Logaritam nekog pozitivnog realnog broja x u nekoj bazi b je broj y kojim se treba potencirati bazu da bi dobili zadanu vrijednost x. |
| lexicalization | hrv: logaritam |
| lexicalization | hrv: logaritma |
| Hungarian | |
| has gloss | hun: A logaritmus két szám között értelmezett matematikai művelet, a hatványozás egyik megfordított (inverz) művelete (a másik a gyökvonás). A pozitív b szám a alapú logaritmusán (ahol a egytől különböző pozitív szám) azt a kitevőt értjük, melyre a-t emelve b-t kapjuk. A b szám a alapú logaritmusát :\log_a b\; jelöli, mely tehát az egyetlen valós szám, melyre :a^\log_a}\,b}=b |
| lexicalization | hun: logaritmus |
| Armenian | |
| lexicalization | hye: լոգարիթմ |
| Ido | |
| has gloss | ido: Logaritmo es matematikal operaco qua es l'inverso dil exponentala funciono. |
| lexicalization | ido: logaritmo |
| Interlingua (International Auxiliary Language Association) | |
| has gloss | ina: Le logarithmo es definite como le inverso del exponentiation. |
| lexicalization | ina: logarithmo |
| Indonesian | |
| has gloss | ind: Logaritma adalah operasi matematika yang merupakan kebalikan dari eksponen atau pemangkatan. |
| lexicalization | ind: logaritma |
| Icelandic | |
| has gloss | isl: Logri eða lografall (einnig nefndur lygri eða lógariþmi) er fall sem skilgreint er sem andhverfa veldisfallsins með jákvæðan veldisstofn a, táknaður með loga. Logrinn uppfyllir eftirfarandi aljöfnu: |
| lexicalization | isl: logri |
| Italian | |
| has gloss | ita: La funzione logaritmo in base a è la funzione inversa rispetto alla funzione esponenziale in base a. |
| lexicalization | ita: logaritmo |
| Japanese | |
| has gloss | jpn: 対数（たいすう、）とは、任意の数 x を a を底とする指数関数により x = ap と表したきの冪指数 p の事である。 p = loga(x) と書いて a を底とする x の対数という。 |
| lexicalization | jpn: 対数 |
| Georgian | |
| lexicalization | kat: ლოგარითმი |
| Central Khmer | |
| lexicalization | khm: លោការីត |
| Korean | |
| has gloss | kor: 로그(log)는 수학 함수의 일종이다. a\neq 1이고, x>0, \mbox } y>0 일 때, x, y 사이에 y=a^x 라는 관계가 있으면 x 는 a 를 밑으로 하는 y 의 로그라고 한다. 예를 들어 3^4 = 81 이므로 \log_3 81 = 4 이다. 로그는 영어 logarithm의 준말이며, 대수(對數)라고 부르기도 한다. |
| lexicalization | kor: 로그 |
| lexicalization | kor: 대수 |
| Latin | |
| has gloss | lat: Logarithmus functio est, cuius valor indicat exponentem ad basim potentiae. |
| lexicalization | lat: logarithmus |
| Latvian | |
| has gloss | lav: Logaritms ir matemātiska operācija, kas ir pretēja kāpināšanai. Skaitļa x logaritms pie bāzes b ir tāds skaitlis n, ka bn = x un to parasti pieraksta šādi: |
| lexicalization | lav: logaritms |
| Lithuanian | |
| has gloss | lit: Logaritmas – atvirkštinė pagrindo kėlimo laipsniu funkcija. Skaičiaus x pagrindu b logaritmas yra skaičius n, toks, jog x = bn. Dažniausiai logaritmas užrašomas taip: : \log_b(x) = n . \,\! Pavyzdžiui, : \log_3(81) = 4 \,\! nes : 3^4 = 3 \times 3 \times 3 \times 3 = 81 . \,\! Dešimtainis logaritmas – skaičiaus logaritmas, turintis pagrindą 10, dėl to vietoje log žymimas lg. Užrašomas taip: : \lg(x) = n . \,\! Pavyzdžiui, : lg(10) = 1 . \,\! : \lg(100) = 2 .\,\! nes : 10^2 = 10 \times 10 = 100 . \,\! Natūrinis logaritmas – skaičiaus logaritmas pagrindu e. Skaičius e vadinamas natūrinio logaritmo pagrindu ir yra lygus 2,71828…. Taip pat skaičius e yra priskiriamas realiesiems skaičiams - apie juos skaitykite čia: Realieji skaičiai. Šis logaritmas vietoje log žymimas ln, t. y.,: : ln(x) = n . |
| lexicalization | lit: logaritmas |
| Malayalam | |
| has gloss | mal: ഒരു ആധാരസംഖ്യയുടെ എത്രാമത് ഘാതമാണ് നിര്ദ്ദിഷ്ടസംഖ്യ എന്ന് കാണിക്കുന്ന സംഖ്യ അതായത് ഘാതാങ്കം ആണ് ലോഗരിതം. m എന്ന സംഖ്യയെ an എന്ന രൂപത്തിലെഴുതിയാല് a ആധാരവും n, m-ന്റെ ലോഗരിതവും ആണ്. |
| lexicalization | mal: ലോഗരിതം |
| Macedonian | |
| lexicalization | mkd: Логаритми |
| lexicalization | mkd: логаритам |
| Malagasy | |
| has gloss | mlg: Aminny fanisàna, ny asa anisa dia ada f voafaritra aminny \R^*_+ manana ny sandana mitohy anatin'ny \R, fa tsy miova, ary lasa tontaliny ny vokany. Manamarina : |
| lexicalization | mlg: anisa |
| Maori | |
| Show unreliable ▼ | |
| lexicalization | mri: taupü köaro |
| Malay (macrolanguage) | |
| has gloss | msa: Logaritma adalah operasi matematik yang merupakan songsangan eksponen atau kuasa. |
| lexicalization | msa: logaritma |
| Min Nan Chinese | |
| has gloss | nan: Chi̍t-ê sò͘ ēng chi̍t-ê té-sò͘ sǹg chhut ê tùi-sò͘, sī beh kā chit-ê té-sò͘ piàn hit-ê sò͘ só͘ pit-su ài ēng ê chí-sò͘, ia̍h-tio̍h sī ài chò ê sêng-hong. |
| lexicalization | nan: tùi-sò͘ |
| Dutch | |
| has gloss | nld: De logaritme is een wiskundige functie, gewoonlijk afgekort tot log. De logaritme van een getal wordt berekend op basis van een grondtal. Er zijn oneindig veel logaritmen mogelijk. Praktisch worden er twee systemen gebruikt. Deze zijn ook te vinden op de meeste rekenmachines. * Logaritmen met grondtal 10. Men spreekt van de Briggse logaritme en noteert deze als log, log10 of 10log. * Logaritmen met grondtal e. Men spreekt van natuurlijke logaritme, of Neperiaanse of Neperse logaritme, naar de uitvinder John Napier. De natuurlijke logaritme wordt vaak genoteerd als ln, maar men schrijft ook wel log in vakgebieden waarbij het vanzelfsprekend is dat de natuurlijke logaritme wordt bedoeld. |
| lexicalization | nld: logaritme |
| Norwegian | |
| has gloss | nor: Logaritmen med grunntall b til et tall a er den eksponenten c som grunntallet må opphøyes i for å gi tallet: |
| lexicalization | nor: logaritme |
| Polish | |
| has gloss | pol: Logarytm przy podstawie a\; z liczby b\;, zapisywany \log_a b\; to taka liczba c\;, że podstawa a\; podniesiona do potęgi c\; daje logarytmowaną liczbę b\;. |
| lexicalization | pol: logarytm |
| Portuguese | |
| has gloss | por: Na Matemática, o logaritmo de base b, maior que zero e diferente de 1, é uma função de domínio ] 0; + \infty[ e contradomínio \R, bijetora e contínua que retorna o expoente na equação bn = x. Usualmente é escrito como logb x = n. Por exemplo: 3^4 = 81, portanto log_3 81 = 4. Em termos simples o logaritmo é o expoente que uma dada base deve ter para produzir certa potência. No último exemplo o logaritmo de 81 na base 3 é 4, pois 4 é o expoente que a base 3 deve usar para resultar 81. |
| lexicalization | por: logaritmo |
| lexicalization | por: Logarítmo |
| Moldavian | |
| has gloss | ron: Logaritmul este o putere la care trebuie ridicat un număr (numit bază) pentru a obţine un număr dat. |
| lexicalization | ron: logaritm |
| Russian | |
| has gloss | rus: Логарифм числа b по основанию a (от — «слово», «отношение» и — «число» ) определяется как показатель степени, в которую надо возвести основание a, чтобы получить число b. Обозначение: \log_a b\,. Из определения следует, что записи \log_a b = x\, и a^x=b\,\! равносильны. |
| lexicalization | rus: логарифм |
| Sicilian | |
| has gloss | scn: Li Lugarìttimi o lugghi fanu parti di la matimàtica. Nu lugghi eni linversu (oppostu) di nilivamentu a putenza; chissu stapi a significari ca ti rici quali ispunenti (putenza) sierbi ppi aviri nu certu nummiru. Picciò siccomi: 2^3= 2 \times 2 \times 2=8, lu lugarittimu a basi 2 di 8 eni 3, scrittu comi: : \log_2(8) = 3\ Li lugarìttimi a basi 10 sunu canusciuti comu lugghi cumuna e su scritta di solitu sinza na bbasi visibbili; p'â isempiu: : \log(100) = 2\ picchini 10^2 = 100\ : \log(25.6) = 1.4082\ picchini 10^(1.4082) = 25.6 |
| lexicalization | scn: Lugarìttimu |
| Sinhala | |
| lexicalization | sin: ලඝු ගණක |
| Slovak | |
| has gloss | slk: Logaritmus alebo logaritmická funkcia (pri základe a) je inverznou funkciou k exponenciálnej funkcii (s tým istým základom). |
| lexicalization | slk: logaritmus |
| Slovenian | |
| has gloss | slv: Logarítem oziroma logaritemska funkcija je v matematiki funkcija, ki iz eksponentne enačbe a^y = x vrne eksponent y. Zapišemo jo v obliki y = \log_a x, kjer sta a, x \in \R^+. To beremo logaritem x z osnovo a. x imenujemo logaritmand ali argument. |
| lexicalization | slv: logaritem |
| Castilian | |
| has gloss | spa: En matemática, el logaritmo de un número en una base determinada es el exponente al cual hay que elevar la base para obtener el número. Es la función matemática inversa de la función exponencial. |
| lexicalization | spa: logaritmo |
| lexicalization | spa: Logaritmos |
| Albanian | |
| has gloss | sqi: Logaritmi i numrit a në bazën e dhënë është është numri me të cilin duhet të fuqizohet baza ashtuqë të fitohet numri i dhënë a. |
| lexicalization | sqi: logaritmi |
| Serbian | |
| has gloss | srp: У математици логаритам је функција која одређује експонент у једначини -b}--n}- = x. Логаритам је инверзна функција у односу на експоненцијалну. Обично се пише као -log}--b}- x = -n}-. Пример: : \!\, 3^4 = 81 \Leftrightarrow \log_3 81 = 4 |
| lexicalization | srp: логаритам |
| Swedish | |
| has gloss | swe: Logaritmen för ett tal (a) är den exponent (x) som man måste upphöja ett givet tal (basen b) till för att få a, :\ a = b^x. |
| lexicalization | swe: logaritm |
| Thai | |
| has gloss | tha: ลอการิทึม เป็นการดำเนินการทางคณิตศาสตร์ที่เป็นฟังก์ชันผกผันของฟังก์ชันเลขชี้กำลัง ค่าลอการิทึมของจำนวนหนึ่งโดยกำหนดฐานไว้ให้ จะมีค่าเทียบเท่ากับ การเอาฐานมายกกำลังค่าลอการิทึม ซึ่งจะให้คำตอบเป็นจำนวนนั้น ตัวอย่างเช่น * ลอการิทึมของ 1000 ในฐาน 10 มีค่าเป็น 3 เพราะว่า 10 คูณกัน 3 ตัวแล้วได้ 1000 นั่นคือ * ลอการิทึมของ 32 ในฐาน 2 มีค่าเป็น 5 เพราะว่า 2 คูณกัน 5 ตัวแล้วได้ 32 นั่นคือ ถ้าเขียนด้วยสัญลักษณ์ยกกำลังจะได้ว่า * 103 = 1000 ดังนั้น log10 1000 = 3 * 25 = 32 ดังนั้น log2 32 = 5 |
| lexicalization | tha: ลอการิทึม |
| lexicalization | tha: เลขกำลังของฐาน ที่ทำให้ฐานมีค่าเท่ากับค่าที่กำหนดให้เช่นลอกของฐาน 10 ให้เป็น 100 คือ 323 ใช้อักษรย่อว่า"log" |
| Turkish | |
| has gloss | tur: Logaritma (Yunanca: λόγος (logos) = anlayış, ἀριθμός (aritmos) = sayı), 17. yüzyılın başında hesapları hızlandırmak için yapılan bir buluştur. 300 yıldan daha uzun bir zaman, temel bir hesap metodu olmuştur. 19. yüzyılda masa hesap makinalarının doğuşu ve yirminci yüzyılda elektronik hesap makinalarının ortaya çıkışı, logaritmaya olan ihtiyacı azaltmıştır. Ancak logaritmik fonksiyonların teorik ve uygulamalı matematikte özel bir yeri vardır. |
| lexicalization | tur: Logaritmalar |
| lexicalization | tur: logaritma |
| Ukrainian | |
| has gloss | ukr: Число \mathbb}x називається логарифмом числа \mathbb}a за основою \mathbb}n, якщо \mathbb}n^x = a . |
| lexicalization | ukr: логарифм |
| Chinese | |
| has gloss | zho: 在数学中，数 x (对于底数 b)的对数是 by 的幂 y，使得 x = by。底数 b 的值一定不能是 0 也不能是 1 (在扩展到复数的复对数情况下不能是 1 的方根)，典型的是 10、e 或 2。數 x (對於底數 b)的对数通常写为 |
| lexicalization | zho: 对数 |
| Links | |
|---|---|
| similar | e/Logarithm |
| similar | e/simple/Logarithm |
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