The Irish logarithm was a system of number manipulation invented by Percy Ludgate for machine multiplication. The system used a combination of mechanical...

given real numbers a {\displaystyle a} and b {\displaystyle b} , the logarithm log b ⁡ ( a ) {\displaystyle \log _{b}(a)} is a number x {\displaystyle...

^{5}.} Gaussian logarithm Irish logarithm, a similar technique derived empirically by Percy Ludgate Finite field arithmetic Logarithm table Zech, Julius...

Irish inventions and discoveries are objects, processes or techniques which owe their existence either partially or entirely to an Irish person. Often...

but employing unique, discrete "Logarithmic Indexes" (now known as Irish logarithms), as well as a novel memory system utilizing concentric cylinders,...

Ludgate's engine used multiplication as its basis (using his own discrete Irish logarithms), had the first multiplier-accumulator (MAC), was first to exploit...

Model 366 slide rules remain, with only five known to have survived. Irish logarithms, a similar scheme intended for use in a mechanical calculation machine...

mathematical operations such as multiplication, division, exponents, roots, logarithms, and trigonometry. It is one of the simplest analog computers. Slide rules...

mathematical notation for logarithms. All instances of log(x) without a subscript base should be interpreted as a natural logarithm, also commonly written...

unmodified power and logarithm identities, particularly when naïvely treated as single-valued functions; see failure of power and logarithm identities. For...

calculated with an abacus. Logarithm tables can be used to divide two numbers, by subtracting the two numbers' logarithms, then looking up the antilogarithm...

{\mathbf {v} }{\|\mathbf {v} \|}}\sin \|\mathbf {v} \|\right),} and the logarithm is ln ⁡ ( q ) = ln ⁡ ‖ q ‖ + v ‖ v ‖ arccos ⁡ a ‖ q ‖ . {\displaystyle...

Man). The Irish grid reference system is a similar system created by the Ordnance Survey of Ireland and the Ordnance Survey of Northern Ireland for the...

definition of the constant e {\displaystyle e} , the base of the natural logarithm, now known as Euler's number. Euler made contributions to applied mathematics...

March 27, 2015. Maslin, Janet (December 5, 1997). "Good Will Hunting: Logarithms and Biorhythms Test a Young Janitor". The New York Times. Archived from...

quadrature of the hyperbola, which requires approximation of the natural logarithm function by infinite series. He was the first European to solve what is...

t_{1/2}={\frac {\ln(2)}{\lambda }}=\tau \ln(2)} where ln(2) is the natural logarithm of 2 (approximately 0.693).: 112  In chemical kinetics, the value of the...

is tedious and error-prone. Common logarithms were invented to simplify such calculations, since adding logarithms is equivalent to multiplying. The slide...

one-third weighting). Standard of living, as indicated by the natural logarithm of gross domestic product per capita at purchasing power parity. This...

development of most major branches of science. John Napier introduced logarithms in the early 17th century as a means to simplify calculations. Michael...

Diophantine equations. He approximated partial sums of the harmonic series by logarithms (a precursor to Euler's summation formula) and was the first to use power...

sitting in his rooms in the Analytical Society looking at a table of logarithms, which he knew to be full of mistakes, when the idea occurred to him of...

integral function, log ⁡ ( x ) {\displaystyle \log(x)} is the natural logarithm of x, and big O notation is used here. It is already known that 1/2 ≤ β ≤ 1...

giving an estimation of the number of prime numbers by using the integral logarithm. In 1816, Olbers encouraged Gauss to compete for a prize from the French...

Scotland, Ireland, and England. 1640–1668: The Portuguese Restoration War led to the end of the Iberian Union. 1641: The Irish Rebellion, by Irish Catholics...

Retrieved April 28, 2020. Maslin, Janet (December 5, 1997). "FILM REVIEW; Logarithms and Biorhythms Test a Young Janitor". The New York Times. ISSN 0362-4331...

Bradwardine expressed this by a series of specific examples, but although the logarithm had not yet been conceived, we can express his conclusion anachronistically...

evaluation of the logarithm in the last step to be avoided in most cases. These steps can be greatly improved so that the logarithm is rarely evaluated...

binary system. Juan Caramuel y Lobkowitz worked extensively on logarithms including logarithms with base 2. Thomas Harriot's manuscripts contained a table...

applying a transformation to the response variable (e.g., fitting the logarithm of the response variable using a linear regression model, which implies...