English-Thai Dictionary

logarithm

N ค ณิตศาสตร์ ลอการิทึม  log ka-nid-sad-lok-ka-li-tuam

 

logarithmical

A เกี่ยวกับ  logarithm logarithmic

 

Webster's 1828 Dictionary

LOGARITHM

n.[Gr. ratio, and number. ] Logarithms are the exponents of a series of powers and roots.
The logarithm of a number is that exponent of some other number, which renders the power of the latter, denoted by the exponent, equal to the former.
When the logarithms form a series in arithmetical progression, the corresponding natural numbers form a series in geometrical progression. Thus,
Logarithms: 1 2 3 4 5
Natural numbers: 1 1 1 1 1 1
The addition and subtraction of logarithms answer to the multiplication and division of their natural numbers. In like manner, involution is performed by multiplying the logarithm of any number by the number denoting the required power; and evolution, by dividing the logarithm by the number denoting the required root.
Logarithms are the invention of Baron Napier, lord of Marchiston in Scotland; but the kind now in use, were invented by Henry Briggs, professor of geometry in Gresham college at Oxford. They are extremely useful in abridging the labor of trigonometrical calculations.

 

LOGARITHMETIC, LOGARITHMETICAL,

 

LOGARITHMIC

a.Pertaining to logarithms; consisting of logarithms.

 

Webster's 1913 Dictionary

LOGARITHM

Log "a *rithm, n. Etym: [Gr. logarithme. ] (Math. )

 

Defn: One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (155 -1617 ), to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division.

 

Note: 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 1 2 3 4 Indices or logarithms 1 1 1 1 1 , 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 1 be the base, then 2 is the logarithm of 1 , because 1 2 = 1 , and 3 is the logarithm of 1,, because 1 3 = 1,. 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 1 ; -- 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, or Napierian, logarithms, those logarithms (devised by John Speidell, 1619 ) of which the base is 2.7182818; -- so called from Napier, the inventor of logarithms. -- Logistic or Proportionallogarithms., See under Logistic.

 

LOGARITHMETIC; LOGARITHMETICAL

LOGARITHMETIC; LOGARITHMETICAL Log `a *rith *met "ic, Log "a *rith *met "ic *al, a.

 

Defn: See Logarithmic.

 

LOGARITHMETICALLY

LOGARITHMETICALLY Log `a *rith *met "ic *al *ly, adv.

 

Defn: Logarithmically.

 

LOGARITHMIC; LOGARITHMICAL

Log `a *rith "mic, Log `a *rith "mic *al, a. Etym: [Cf. F. logarithmique. ]

 

Defn: Of or pertaining to logarithms; consisting of logarithms. Logarithmic curve (Math. ), a curve which, referred to a system of rectangular coördinate 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.

 

LOGARITHMICALLY

LOGARITHMICALLY Log `a *rith "mic *al *ly, adv.

 

Defn: By the use of logarithms.

 

New American Oxford Dictionary

logarithm

log a rithm |ˈlôgəˌriT͟Həm, ˈlägə -ˈlɔɡəˌrɪðəm ˈlɑɡəˌrɪðəm |(abbr.: log ) ▶noun a quantity representing the power to which a fixed number (the base ) must be raised to produce a given number. Logarithms can be used to simplify calculations because the addition and subtraction of logarithms is equivalent to multiplication and division, although the use of printed tables of logarithms for this has declined with the spread of electronic calculators. They also allow a geometric relationship to be represented conveniently by a straight line. The base of a common logarithm is 10, and that of a natural logarithm is the number e (2.71828 …). ORIGIN early 17th cent.: from modern Latin logarithmus, from Greek logos ‘reckoning, ratio ’ + arithmos ‘number. ’

 

logarithmic

log a rith mic |ˌlôgəˈriT͟Hmik, ˌlägə -ˌlɔɡəˈrɪðmɪk ˌlɑɡəˈrɪðmɪk | ▶adjective of, relating to, or expressed in terms of logarithms. • (of a scale ) constructed so that successive points along an axis, or graduations that are an equal distance apart, represent values that are in an equal ratio. • (of a curve ) forming a straight line when plotted on a logarithmic scale; exponential. DERIVATIVES log a rith mi cal ly |-mik (ə )lē |adverb

 

logarithmic spiral

log a rith mic spi ral ▶noun Geometry a spiral such that the angle between the tangent and the radius vector is the same for all points of the spiral. Also called equiangular spiral.

 

Oxford Dictionary

logarithm

logarithm |ˈlɒgərɪð (ə )m, -rɪθ - |(abbrev.: log ) ▶noun a quantity representing the power to which a fixed number (the base ) must be raised to produce a given number. Logarithms can be used to simplify calculations, as the addition and subtraction of logarithms is equivalent to multiplication and division, though the use of printed tables of logarithms for this has declined with the spread of electronic calculators. They also allow a geometric relationship to be represented conveniently by a straight line. The base of a common logarithm is 10, and that of a natural logarithm is the number e (2.71828 …). ORIGIN early 17th cent.: from modern Latin logarithmus, from Greek logos ‘reckoning, ratio ’ + arithmos ‘number ’.

 

logarithmic

loga |rith ¦mic |ˌlɒgəˈrɪðmɪk | ▶adjective relating to or expressed in terms of logarithms. • (of a scale ) constructed so that successive points along an axis, or graduations which are an equal distance apart, represent values which are in an equal ratio. • (of a curve ) forming a straight line when plotted on a logarithmic scale; exponential. DERIVATIVES logarithmically |-ˈrɪðmɪk (ə )li |adverb

 

logarithmic spiral

loga |rith ¦mic spiral ▶noun another term for equiangular spiral.

 

Duden Dictionary

Logarithmand

Lo g a rith mand , Lo ga rith mand Substantiv, maskulin Mathematik , der |Logarithm a nd |der Logarithmand; Genitiv: des Logarithmanden, Plural: die Logarithmanden griechisch-neulateinisch zu logarithmierende Zahl; Numerus 2 zum Logarithmus

 

Logarithmen

Lo g a rith men , Lo ga rith men |Logar i thmen |Plural von Logarithmus

 

Logarithmentafel

Lo g a rith men ta fel, Lo ga rith men ta fel Substantiv, feminin Mathematik , die |Logar i thmentafel |tabellenartige Zusammenstellung der Logarithmen

 

logarithmieren

lo g a rith mie ren , lo ga rith mie ren schwaches Verb Mathematik |logarithm ie ren |griechisch-neulateinisch a mit Logarithmen rechnen b den Logarithmus berechnen

 

logarithmisch

lo g a rith misch, lo ga rith misch Adjektiv Mathematik |logar i thmisch |den Logarithmus betreffend; auf einem Logarithmus beruhend, ihn anwendend

 

Logarithmus

Lo g a rith mus , Lo ga rith mus Substantiv, maskulin Mathematik , der |Logar i thmus |der Logarithmus; Genitiv: des Logarithmus, Plural: die Logarithmen neulateinisch, zu griechisch lógos (Logos ) und árithmos = Zahl Zahl, mit der man eine andere Zahl, die Basis 3c , potenzieren muss, um eine vorgegebene Zahl, den Numerus 2 , zu erhalten Abkürzung: log

 

French Dictionary

logarithme

logarithme n. m. mathématiques Puissance à laquelle une base doit être élevée pour atteindre un nombre donné (GDT ). Note Orthographique logar i thme, contrairement au nom rythme.

 

logarithmique

logarithmique adj. mécanique Relatif aux logarithmes. : Les langages de programmation de haut niveau offrent généralement des fonctions de calcul logarithmique. Note Orthographique logar i thmique, contrairement au nom rythme.

 

Sanseido Wisdom Dictionary

logarithm

log a rithm /lɔ́ːɡərɪ̀ð (ə )m |lɔ́ɡ -/名詞 C 〘数 〙対数 .l ò g a r í th mi cal 形容詞 l ò g a r í th mi cal ly 副詞

 

logarithmic

log a rith mic /lɔ̀ːɡərɪ́ðmɪk |lɔ̀ɡ -/形容詞 対数の .