
	Where results make sense

Topic: Logarithmic tables

Related Topics

Logarithm

Jurij Vega

Runway

Hickam Air Force Base

In the News (Sun 29 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Mathematical table - Wikipedia, the free encyclopedia
		Tables of trigonometric functions were first known to be made by Hipparchus, and were used up until the 1980s when calculators included this functionality.
		Tables of common logarithms and antilogarithms were used to do rapid multiplications, divisions, and exponentiations, including the extraction of nth roots.
		The use of tables of values of the cumulative distribution function of the normal distribution remains commonplace today, especially in schools.
	en.wikipedia.org /wiki/Mathematical_table (322 words)

	AllRefer.com - logarithm (Mathematics) - Encyclopedia
		Logarithms of positive numbers using the number 10 as the base are called common logarithms; those using the number e (see separate article) as the base are called natural logarithms or Napierian logarithms (for John Napier).
		Since logarithms are exponents, they satisfy all the usual rules of exponents.
		Logarithmic tables are generally used for this purpose.
	reference.allrefer.com /encyclopedia/L/logarith.html (243 words)

	LOGARITHM - LoveToKnow Article on LOGARITHM (Site not responding. Last check: 2007-10-09)
		Logarithms were originally invented for the sake of abbreviating arithmetical calculations, as by their means the operations of multiplication and division may be replaced by those of addition and subtraction, and the operation.s of raising to powers and extraction of root~s by those of multiplication and division.
		The logarithms are strictly Napierian, and the arrangement is identical with that in the canon of 1614.
		Logarithms of the ratios of arcs to tangents from 0q.00000 to 0~o5ooo, and log tangents throughout the quadrant.
	100.1911encyclopedia.org /L/LO/LOGARITHM.htm (11369 words)

	CIO IBC XIX - Online Information article about CIO IBC XIX (Site not responding. Last check: 2007-10-09)
		Antilogarithmic tables are few in number, the only other extensive tables of the same kind that have been published occurring in Shortrede's Logarithmic tables already referred to, and in Filipowski's Table of antilogarithms (1849).
		logarithm is derived from the words X ryssv bptO iµ s, the number of the ratios, and the way of regarding a logarithm which justifies the name may be explained as follows.
		The best general method of calculating logarithms consists, in its simplest form, in resolving the number whose logarithm is required into factors of the form i — •i'n, where n is one of the nine digits; and making use of subsidiary tables of logarithms of factors of this form.
	encyclopedia.jrank.org /CHR_CLI/CIO_IBC_XIX.html (5571 words)

	Logarithms: An Introduction to Their Use by Robert Kern Curtis, 1970
		The antilogarithm of the logarithm of a number may be defined as the number which equals the base raised to the power of the given logarithm.
		Subtract the logarithm of the divisor from the logarithm of the dividend.
		The logarithm of a number is the exponent of the power to which a given number called the base must be raised to given the number.
	www.rain.org /~rcurtis/logs.html (2133 words)

	Nietz Collection
		Logarithmic and trigonometric tables / prepared under the direction of Earl Raymond Hedrick ; to accompany a plane and spherical trigonometry by Alfred Monroe Kenyon and Louis Ingold.
		Tables of logarithms of numbers and of sines and tangents for every ten seconds of the quadrant : with other useful tables / by Elias Loomis.
		Tables of the logarithms of numbers from 100 to 1000 : and of the logarithmic and nautral sines, cosines, tangents, and cotangents of angles at intervals of ten minutes from 0ê to 90ê : calculated to four places of decimals / by Webster Wells.
	digital.library.pitt.edu /cgi-bin/nietz/nietzbibl-idx.pl?type=control&field=subject&value=Logarithms. (766 words)

	computer error by mister X
		This singular coincidence led to an unusually extensive examination of the logarithmic tables published both in England and in other countries; by which it appeared that thirteen sets of tables, published in London between the years 1633 and 1822, all agreed in these six errors.
		Upon extending the enquery to foreign tables, it appeared that two sets of tables published at Paris, one at Gouda, one at Avignon, one at Berlin, and one at Florence, were infected by exactly the same six errors.
		What Charles Babbage concluded was that the errors encountered in logarithmic tables could not be avoided until such time as a "calculating engine" might be employed to recalculate each of the logarithmic figures, which had not been done since the time of Briggs and Vlacq, and the figures then published without typographical error.
	www.thocp.net /biographies/papers/computer_error.htm (1702 words)

	Logarithm (Site not responding. Last check: 2007-10-09)
		Logarithms tell how many times a number x must be divided by the base b to get 1, and hence can be considered an inverse of exponentiation.
		The logarithm functions are the inverses of the exponential functions.
		The interval from 20,000 to 90,000 was filled up by Adrian Vlacq, a Dutch computer; but in his table, which appeared in 1628, the logarithms were given to only ten places of decimals.
	www.worldhistory.com /wiki/L/Logarithm.htm (1629 words)

	Rudolphine Tables -- Encyclopædia Britannica
		Latin Tabulae Rudolphinae, planetary tables and star catalog published in 1627 by Johannes Kepler, based principally on the observations of Tycho Brahe.
		One of the fastest-moving indoor sports is table tennis, also known as Ping-Pong (an imitation of the sound made by the ball striking the table and hollow vellum battledores used in the early 1900s).
		Table wines come in three basic colors: white (often yellow to golden), red, or rosé (a pale pink).
	www.britannica.com /eb/article-9064366?tocId=9064366 (822 words)

	Offset drift correction method in color film inspection apparatus - Patent 4802107
		Consequently, table data which is the curve shifted from the standardized logarithmic-transforming curve by eight steps is written in the look-up table 25.
		At each measurement, by using the outputs from the look-up tables 26 and 27 for blue, red as addresses, data of the linear lines of the look-up tables 26 and 27 are substituted by the data on the offset drift corrected curve for green and rewritten in the look-up table 27 at corresponding addresses.
		This data rewriting for red is repeated 256 times in total at the intervals of one step from a condition at which the shutter 15 is placed in the optical path 17 to a condition at which the shutter is removed from the optical path and the light adjusting means is fully opened.
	www.freepatentsonline.com /4802107.html (3396 words)

	Calibration method for color film inspection system - Patent 4736245
		All of the color correction circuit 7 comprise, the logarithmic converting circuits 6 and the look-up tables 8 of an IC memory 71 and two multiplexers 72 and 73 as shown in FIG.
		They are color-compensated with the density signals DS which have been converted by the logarithmic converting circuits 6, converted in gradation by the look-up tables 8 and displayed at the color monitor 10 in positive images.
		For this, the table is adjusted by the keyboard 50 and the gradation tables are prepared anew with these corrected data to thereby complete the pre-processing of the film inspection (Steps S7 and S8).
	www.freepatentsonline.com /4736245.html (3255 words)

	Charles Babbage -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		In recognition of the high error rate in the calculation of mathematical tables, Babbage sought to find a method by which they could be calculated mechanically, removing human sources of error.
		In a series of letters between 1842 and 1843, the pair collaborated on seven notes, the combined length of which was three times longer than the actual paper.
		The 24 schematics remained in the (A museum that collects and displays objects having scientific interest) Science Museum archives until a full-size replica was built in 1991 to celebrate the 200th anniversary of Babbage’s birth.
	www.absoluteastronomy.com /encyclopedia/c/ch/charles_babbage.htm (2137 words)

	CHAPTER 8 (Site not responding. Last check: 2007-10-09)
		The equivalency of the logarithmic and exponential forms may be used to restate the fundamental definition of logarithms in its most
		Table 8-2 (A) shows the base 2 in the exponential form with its corresponding powers.
		logarithms use the base e, which is an irrational number approximately equal to 2.71828.
	www.tpub.com /math1/9.htm (442 words)

	metre.info - Encyclopaedia of all additional measures (Site not responding. Last check: 2007-10-09)
		Bel is a measure for logarithmic quantities and is used to describe a ratio.
		Logarithmic scales can be deceiving, as small changes can quickly lead to enormous changes in the resulting number.
		Neper is a measure for logarithmic quantities and is used to describe a ratio.
	homepage.ntlworld.com /cdkaese/additionalunits.htm (5801 words)

	BIBLI0GRAPHV - Online Information article about BIBLI0GRAPHV (Site not responding. Last check: 2007-10-09)
		round a table, with their hands resting on it, and wait for the table to move.
		When by this means it was made clear to the experimenters that it was the fingers which moved the table, not the table the fingers, the phenomena generally ceased.
		Some Evangelical clergymen discovered by this means that the spirits who caused the movements were of a diabolic nature, and some amazing accounts were published in 1853 and 1854 of the revelations obtained from the talking tables.
	encyclopedia.jrank.org /BER_BLA/BIBLI0GRAPHV.html (1245 words)

	exponential function
		The inverse of the exponential function is the logarithmic function or logarithm.
		For 2 as the base of the logarithm the binary logarithm lb(x) is the case.
		In the time of the logarithmic tables the cologarithm was used to prevent negative results.
	www.2dcurves.com /exponential/exponentiale.html (869 words)

	Charles Babbage's Table of Logarithms (1827) (Site not responding. Last check: 2007-10-09)
		In 1827 Charles Babbage published his Table of Logarithms of the Natural Numbers, from 1 to 108,000.
		His logarithms were generally considered to be the most accurate in his day and were reprinted on numerous occasions, well into the 20th century.
		Table of Logarithms of the Natural Numbers, from 1 to 108,000, London: J. Mawman.
	csdl2.computer.org /persagen/DLAbsToc.jsp?resourcePath=/dl/mags/an/&toc=comp/mags/an/1988/03/a3toc.xml&DOI=10.1109/MAHC.1988.10023 (597 words)

	History of Logarithm Tables (Site not responding. Last check: 2007-10-09)
		The essential property of a system of logarithms is that the sum of the logarithms of any two or more numbers is the logarithm of their product.
		Hence the use of a table of logarithms enables a computer to substitute addition and subtraction for the more laborious operations of multiplication and division, and likewise multiplication and division for involution and evolution.
		In mathematical notation ‘the logarithm of’ is expressed by the abbreviation ‘log’ prefixed to numeral figures or algebraical symbols.
	www.ankatang.demon.co.uk /logs.html (628 words)

	Tables for Ada
		Upon destruction the memory used by the the table is reclaimed.
		Items in the table can be accessed either by their offsets (in alphabetical order) or by names.
		However, the original case is preserved by the table, so GetName would return the name of an token exactly as it was given in Add or Replace.
	www.dmitry-kazakov.de /ada/tables.htm (1047 words)

	Logtime: Logarithmic Time Perception With Aging
		The logarithmic scale of time perception presented by this model may be only a rough approximation of actual human perception, but is probably a much closer one than the linear scale usually assumed.
		The simple premise of Logtime, from which the logarithmic relationship can be derived (see Appendix), is that the human mind judges the length of a long period of time, such as a year, by comparing it with current age.
		A consequence of the logarithmic function is that it is the ratio of the years defining an interval of time that we use to judge the duration of that interval, not the absolute magnitudes of those years.
	ourworld.compuserve.com /homepages/jmkenney (5086 words)

	The Galileo Project
		In 1628 he published the first full table of logs to base 10 from 1 to 100,000, calculated to ten places.
		In 1633 he also published tables of the logs of the trigonometric functions.
		Parts of a report on mathematical tables, Report of the 43rd Meeting of the British Association for the Advancement of Science, held Sept. 1873, (London, 1874), 51-5, 63-4, 119, 141-2, 162-3.
	galileo.rice.edu /Catalog/NewFiles/vlacq.html (318 words)

	December 2003
		Logarithms reduce the operations of multiplication and division to those of addition and subtraction.
		The practical aspect behind logarithms is that any number can be expressed in terms of the number 10 to a certain power.
		At about the same time Napier published his first work of logarithmic tables, he was working on an idea for speeding up calculations even more.
	educ.queensu.ca /~fmc/december2003/NapiersBones.html (864 words)

	ipedia.com: Charles Babbage Article (Site not responding. Last check: 2007-10-09)
		In recognition of the high error rate in the calculation of mathematical tables, Babbage sought to find a method by which they could be calculated by machine, which would not suffer the errors, fatigue and boredom of human calculators.
		In 1822, in a letter to Sir Humphrey Davy on the application of machinery to the calculation and printing of mathematical tables, he discussed the principles of a calculating engine.
		He presented a model of what he called a Difference Engine to the Royal Astronomical Society on June 14, 1822 in a paper entitled "Note on the application of machinery to the computation of astronomical and mathematical tables."[1] Its purpose was to tabulate polynomials using a numerical method called the differences method.
	www.ipedia.com /charles_babbage.html (1155 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-09)
		Then we could find the logarithm of a number very close to 1.
		I assume he wanted a particular level of precision, so he continued until he got a number close enough to 1, and then continued until it looked like 1.000...01..., so that he could make an accurate approximation to 1.000...01 by this method.
		I checked to see whether we have covered this topic before, and found this in our archives (by searching for "briggs log"): Logarithms: History and Use http://mathforum.org/dr.math/problems/temple.7.12.96.html This illustrates the process using simpler numbers.
	mathforum.org /library/drmath/view/55600.html (413 words)

	Logarithms and Exponentials (Site not responding. Last check: 2007-10-09)
		When Napier's logarithmic tables appeared in 1614 in Mirifici Logarithmorum Canonis Descriptio (Description of the Wonderful Canon of Logarithms) they were enthusiastically used by Kepler in the enormous computations that led to the discovery of his third law of planetary motion.
		The information displayed by a number's common logarithm reflects that shown in scientific notation: the fractional part of the logarithm indicates the number's first significant digits, while the integer part of the logarithm shows its size in powers of 10.
		Although you can calculate with natural logarithms just as you would with common logarithms, logarithms aren't as frequently used for computations now as they were only a few decades ago.
	www.courses.unh.edu /math425/logexp.html (1572 words)

	CATHOLIC ENCYCLOPEDIA: Jacques Ozanam
		Later, as the family property passed entirely to his elder brother, he was reluctantly driven to accept fees for his lessons.
		In 1670, he published trigonometric and logarithmic tables more accurate than the then existing ones of Ulacq, Pitiscus, and Briggs.
		Among his chief works are: "Table des sinus, tangentes, et sécantes" (Lyons, 1670); "Methode générale pour tracer des cadrans" (Paris, 1673); "Geometrie pratique" (Paris, 1684); "Traité des lignes du premier genre" (Paris, 1687); "De l'usage du compas" (Paris, 1688); "Dictionnaire mathématique" (Paris, 1691); "Cours de mathématiques" (Paris, 1693, 5 vols., tr.
	www.newadvent.org /cathen/11378b.htm (519 words)

	math lessons - Haversine
		The formulas could equally be written in terms of any multiple of the haversine, such as the older versine function (twice the haversine).
		Historically, the haversine had, perhaps, a slight advantage in that its maximum is one, so that logarithmic tables of its values could end at zero.
		In the era before the digital calculator, the use of detailed printed tables for the haversine/inverse-haversine and its logarithm (to aid multiplications) saved navigators from squaring sines, computing square roots, etc., a process both arduous and likely to exacerbate small errors (see also versine).
	www.mathdaily.com /lessons/Haversine (883 words)

	Chemistry - Logarithm
		Logarithms tell how many times a number x must be divided by the base b to get 1.
		When logarithms are used repeatedly in a work, one base (b in b
		So, in a system of logarithms of which 8 is the base,
	www.chemistrydaily.com /chemistry/Logarithm (1400 words)

	Charles Babbage, the Difference Engine, and the Birth of Computers
		Two years later he had published a table of logarithms from 1 to 108000.
		In Mechanics Magazine in 1857 Babbage published a "Table of the Relative Frequency of the Causes of Breaking of Plate Glass Windows".
		Babbage thought the table would be "of value in many respects", and might "induce others to furnish more extensive collections of similar and related facts".
	mairead.freeservers.com /babbage.html (561 words)

	Computer Error
		When one speaks today of "computer error," one is most often referring to a flaw in the electronic or mechanical functioning of a programmed machine.
		Joost Brugi, of Prague, who is credited with an independent invention of logarithms after Napier, published a table of anti-logarithms in 1620, and Edmund Gunter published a table of logarithms to seven places of decimals in the same year.
		When Charles Babbage commenced work on his own set of logarithmic tables, published in 1827 as Table of Logarithms of the Natural Numbers from 1 to 108,000, he utilized Callet's tables and compared them with Hutton's, Vega's, Briggs', Gardiner's, and Taylor's.
	www.resologist.net /art01.htm (1646 words)

Try your search on: Qwika (all wikis)