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| | logarithm | (ลอ'กะริธเธิม) n. เลขกำลังของฐาน (base) ที่ทำให้ฐานมีค่าเท่ากับค่าที่กำหนดให้เช่นลอกของฐาน 10 ให้เป็น 100 คือ 323 ใช้อักษรย่อว่า"log" | | logarithmic | (ลอกะริธ'มิค) adj. เกี่ยวกับ logarithm (ดู), Syn. logarithmical | | antilogarithm | (แอนทีลอก' กะริธึม) n. ตัวเลขที่มีเลขที่กำหนดให้เป็น logarithm. -antilogarithmic adj. | | common logarithm | n. ลอกที่มีฐาน10 |
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| | | | | | Logarithm | n. [ Gr. lo`gos word, account, proportion + 'ariqmo`s number: cf. F. logarithme. ] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550-1617), to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division. The relation of logarithms to common numbers is that of numbers in an arithmetical series to corresponding numbers in a geometrical series, so that sums and differences of the former indicate respectively products and quotients of the latter; thus,
0 1 2 3 4 Indices or logarithms
1 10 100 1000 10, 000 Numbers in geometrical progression
Hence, the logarithm of any given number is the exponent of a power to which another given invariable number, called the base, must be raised in order to produce that given number. Thus, let 10 be the base, then 2 is the logarithm of 100, because 102 = 100, and 3 is the logarithm of 1, 000, because 103 = 1, 000. [ 1913 Webster ]
Arithmetical complement of a logarithm, the difference between a logarithm and the number ten. --
Binary logarithms. See under Binary. --
Common logarithms, or
Brigg's logarithms, logarithms of which the base is 10; -- so called from Henry Briggs, who invented them. --
Gauss's logarithms, tables of logarithms constructed for facilitating the operation of finding the logarithm of the sum of difference of two quantities from the logarithms of the quantities, one entry of those tables and two additions or subtractions answering the purpose of three entries of the common tables and one addition or subtraction. They were suggested by the celebrated German mathematician Karl Friedrich Gauss (died in 1855), and are of great service in many astronomical computations. --
Hyperbolic logarithm or
Napierian logarithm or
Natural logarithm, a logarithm (devised by John Speidell, 1619) of which the base is e (2.718281828459045...); -- so called from Napier, the inventor of logarithms. --
Logistic logarithms or
Proportional logarithms, See under Logistic. [ 1913 Webster ]
| | Logarithmetical | { } a. See Logarithmic. [ 1913 Webster ] Variants: Logarithmetic | | Logarithmetically | adv. Logarithmically. [ 1913 Webster ] | | Logarithmical | { } a. [ Cf. F. logarithmique. ] 1. Of or pertaining to logarithms; consisting of logarithms. [ 1913 Webster ] 2. Using logarithms; as, logarithmic graph paper; a logarithmic scale. [ PJC ] 3. Having a logarithm in one or more of the unknowns; -- of an equation. [ PJC ]
Logarithmic curve (Math.), a curve which, referred to a system of rectangular coordinate axes, is such that the ordinate of any point will be the logarithm of its abscissa. --
Logarithmic spiral, a spiral curve such that radii drawn from its pole or eye at equal angles with each other are in continual proportion. See Spiral. [ 1913 Webster ]
Variants: Logarithmic | | Logarithmically | adv. By the use of logarithms. [ 1913 Webster ] |
| | | ลอการิทึม | (n) logarithm, Thai Definition: ลอการิทึมของจำนวนใดจำนวนหนึ่งบนฐานที่กำหนดให้ คือ จำนวนที่บ่งแสดงกำลังของฐาน ซึ่งเมื่อฐานยกกำลังด้วยจำนวนนี้แล้วย่อมมีค่าเท่ากับจำนวนที่กำหนดนั้น, Notes: (อังกฤษ) | | เลขยกกำลัง | (n) logarithm, Example: ครูสอนให้นักเรียนฝึกคำนวณเลขยกกำลัง, Thai Definition: เลขชี้กำลังที่เขียนลงบนจำนวนจริง | | เลขยกกำลัง | (n) logarithm, Example: ครูสอนให้นักเรียนฝึกคำนวณเลขยกกำลัง, Thai Definition: เลขชี้กำลังที่เขียนลงบนจำนวนจริง |
| | ลอการิทึม | [løkāritheum] (n) EN: logarithm FR: logarithme [ m ] |
| | | | | | 底 | [てい, tei] (n) (1) base (logarithmic, exponential, number system); radix; (2) base (triangle, cone, cylinder, etc.); (3) (arch) type; kind; extent; degree #5,288 [Add to Longdo] | | ロガリズム | [rogarizumu] (n) logarithm [Add to Longdo] | | ログＢのＸ | [ログビーのエックス, rogubi-no ekkusu] (n) logarithm (base B) [Add to Longdo] | | 仮数 | [かすう, kasuu] (n) mantissa (e.g. of a logarithm) [Add to Longdo] | | 自然対数 | [しぜんたいすう, shizentaisuu] (n) natural logarithm; logarithm [Add to Longdo] | | 常用対数 | [じょうようたいすう, jouyoutaisuu] (n) logarithm (base 10); common logarithm [Add to Longdo] | | 数表 | [すうひょう, suuhyou] (n) table (of logarithms) [Add to Longdo] | | 対数 | [たいすう, taisuu] (n) logarithm [Add to Longdo] | | 対数の指数 | [たいすうのしすう, taisuunoshisuu] (n) { comp } characteristic of a logarithm [Add to Longdo] | | 対数関数 | [たいすうかんすう, taisuukansuu] (n) a logarithmic function [Add to Longdo] |
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