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Topic: Offset logarithmic integral


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In the News (Fri 17 Feb 12)

  
  Logarithmic analog-to-digital converter - Patent 4350974
Logarithmic converters frequently have advantages over linear converters in applications requiring a very large dynamic range and where the desired accuracy, and hence round-off error, is measured in terms of a specified percentage of the input signal rather than a specified percentage of the maximum output indicated by the converter.
Since the integral values of x between 1 and 8,192 may be represented by a 13-bit binary number, the logarithm of the input requires only 13 bits for an accuracy of 0.2%, in contrast with the 27 bits required by a linear D/A converter.
With the inputs to op-amp 56 shorted, the input offset voltage of op-amp 56 is amplified by the open-loop gain of the op-amp, and this amplified offset voltage appears at output terminal 60.
www.freepatentsonline.com /4350974.html   (6178 words)

  
 Offset - Encyclopedia Glossary Meaning Explanation Offset   (Site not responding. Last check: 2007-10-22)
See offsets for material on the word offset as relating to the propagation of plants.
In computer science, an offset within an array or other data structure object is an integer indicating the distance (displacement) from the beginning of the object up until a given element or point, presumably within the same object.
In this meaning of offset, only the basic address unit, usually the 8-bit byte, is used to specify the offset's size.
www.encyclopedia-glossary.com /en/Offset.html   (193 words)

  
 Logarithmic integral - free-definition   (Site not responding. Last check: 2007-10-22)
In mathematics, the logarithmic integral or integral logarithm li(x) is a non-elementary function defined for all positive real numbers x≠ 1 by the definite integral:
The logarithmic integral is mainly important because it occurs in estimates of prime number densities, especially in the prime number theorem:
where π(x) denotes the number of primes smaller than or equal to x, and Li(x) is the offset logarithmic integral function, related to li(x) by Li(x) = li(x) - li(2).
www.free-definition.com /Logarithmic-integral.html   (209 words)

  
 Reference.com/Encyclopedia/Polylogarithm
The polylogarithm also arises in the closed form of the integral of the Fermi-Dirac distribution and the Bose-Einstein distribution and is sometimes known as the Fermi-Dirac integral or the Bose-Einstein integral.
Polylogarithms should not be confused with polylogarithmic functions nor with the offset logarithmic integral which has a similar notation.
The polylogarithm may be rather generally represented by a Hankel contour integral (Whittaker and Watson § 12.22, § 13.13).
www.reference.com /browse/wiki/Dilogarithm   (1320 words)

  
 Vector network analyzer with integral processor - Patent 4816767
The CPU 143 periodically initiates a self calibration sequence for the IF amplifiers 134, synchronous detectors 131 and 133, and the ADC 139 and the resulting gain, offset, and circularity changes are stored in memory 147, so that the changes in the IF amplifiers 134 can be subtracted from measured results.
The hierarchal SPFR structure is an integral part of the instrument state.
Offset, gain, and quadrature errors are corrected for both of the IF/detector chains via software which is arranged as blocks IF gain test 2803 and IF Correction 2805.
www.freepatentsonline.com /4816767.html   (8111 words)

  
 Logarithmic integral - Wikipedia, the free encyclopedia
In mathematics, the logarithmic integral can refer to
and discussed in Paul Koosis, The Logarithmic Integral, volumes I and II, Cambridge University Press, second edition, 1998.
This is a disambiguation page, a list of pages that otherwise might share the same title.
en.wikipedia.org /wiki/Logarithmic_integral   (93 words)

  
 Complex-Logarithmic Conformal Mapping in Still Image Coding   (Site not responding. Last check: 2007-10-22)
a which, in addition to displacing the logarithmic singularity at the origin, directly regulates the size of the aforementioned foveal region.
The indeterminacy of the logarithm is therefore realized by its polar representation where the expression is not uniquely determined.
The logarithmic mapping of the right half disk in the range is contained in the region bounded by
web.mit.edu /dlane/www/files/mapping.htm   (3367 words)

  
 :: logarithmic :: related - ( equation  exponential  function  integral  logarithm  ...
7) must be raised to produce a given number (the logarithm of 1000 to base 10 is
natural (or Napierian) logarithm a logarithm to the base e (2.71828.....).
equation exponential function integral logarithm calculator spiral differentiation table time line current event offset graph derivative
www.spell-dictionary.com /db/logarithmic   (99 words)

  
 Gamma function -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-22)
In the first integral above, which defines the Gamma function, the limits of integration are fixed.
The (Click link for more info and facts about incomplete Gamma function) incomplete Gamma function is the function obtained by allowing either the upper or lower limit of integration to be variable.
The (Click link for more info and facts about derivative of the logarithm) derivative of the logarithm of the Gamma function is called the (Click link for more info and facts about digamma function) digamma function; higher derivatives are the (Click link for more info and facts about polygamma function) polygamma functions.
www.absoluteastronomy.com /encyclopedia/g/ga/gamma_function.htm   (620 words)

  
 logarithmic integral - OneLook Dictionary Search
Tip: Click on the first link on a line below to go directly to a page where "logarithmic integral" is defined.
Logarithmic Integral : Eric Weisstein's World of Mathematics [home, info]
Phrases that include logarithmic integral: offset logarithmic integral
www.onelook.com /?w=logarithmic+integral   (89 words)

  
 Numerical Constants - Mathematics & Physics - Numericana
is the only positive root of the logarithmic integral function "li", which is not to be confused with the so-called offset logarithmic integral:
The above integrals must be understood as Cauchy principal values whenever the singularity at t = 1 is in the interval of integration...
In particular, when n is a large Heegner number (43, 67 and 163 are the largest Heegner numbers).
home.att.net /~numericana/answer/constants.htm   (4599 words)

  
 Mathematica Usage Messages   (Site not responding. Last check: 2007-10-22)
E is the exponential constant e (base of natural logarithms), with numerical value 2.71828....
is the logarithm of the Euler gamma function Gamma(z).
gives a numerical approximation to the integral of f with respect to x over the interval xmin to xmax.
vlado.fmf.uni-lj.si /vlado/symbol/usage.htm   (11884 words)

  
 Grace User's Guide (for Grace-5.1.18)   (Site not responding. Last check: 2007-10-22)
The integration popup is used to compute the integral of a set and optionally to load it.
The numerical value of the integral is shown in the text field after computation.
Three types of scales are available: linear, logarithmic or reciprocal, and you can invert the axis (which normally increases from left to right and from bottom to top).
plasma-gate.weizmann.ac.il /Grace/doc/UsersGuide.html   (11575 words)

  
 [No title]
An RTP audio packet may contain any number of audio samples, subject to the constraint that the number of bits per sample times the number of samples per packet yields an integral octet count.
Audio data is encoded as eight bits per sample, after logarithmic scaling.
Code to convert between linear and mu-law companded data is available in [6].
www.ietf.org /rfc/rfc1890.txt   (3830 words)

  
 The American University of Paris | International Business Administration | Major :: Applied Intl Finance   (Site not responding. Last check: 2007-10-22)
Develops the concepts of calculus as applied to polynomials, logarithmic, and exponential functions.
Topics include: limits, derivatives, techniques of differentiation, applications to extrema and graphing; the definite integral; the fundamental theorem of calculus, applications; logarithmic and exponential functions, growth and decay; partial derivatives.
Includes exchange rate calculations, business combinations by purchase and stock swaps, consolidated financial reports, translation and transaction exposure and hedging methods (forward trading, money markets, futures, and options) used to offset such exposure.
www.aup.fr /main/academics/departments/intbus/majors_appintfin.htm   (929 words)

  
 Articles - Prime number theorem   (Site not responding. Last check: 2007-10-22)
The prime number theorem then states that the limit of the quotient of the two functions π(x) and x/ln(x) as x approaches infinity is 1.
Here ln(x) is the natural logarithm of x.
As a consequence of the prime number theorem, one gets an asymptotic expression for the n
www.izeez.com /articles/Prime_number_theorem   (597 words)

  
 College Catalog
Mathematics Placement Test, Level I.A basic presentation of the fundamental concepts of college algebra and trigonometry with scientific and engineering applications; linear equations and systems, determinants, functions and coordinate geometry, quadratic equations, trigonometric, exponential, and logarithmic functions and their graphs, vectors, complex numbers, exponents, and radicals.
Systems of linear equations, inequalities, linear, quadratic, trigonometric, exponential and logarithmic functions.
During the recitation hours, students review properties of signed numbers, graphing of functions, basic geometric concepts, solution of linear equations, factoring algebraic expressions and its application to rational expressions.
www.qcc.cuny.edu /catalog/DescCourse.asp?Dept+Code=MA&offset=5   (252 words)

  
 Prime number theorem explained   (Site not responding. Last check: 2007-10-22)
The prime number theorem then states that :
where ln(''x'') is the natural logarithm of x.
Here Li(''x'') is the offset logarithmic integral function.
www.wordspider.net /pr/prime-number-theorem.html   (539 words)

  
 VLD
the logarithmic integral or integral logarithm li(x) is a non-elementary function defined for all positive real numbers x?
in the logarithm 2.95424, the mantissa is 0.95424
to strive to fend off or offset the actions, effects, or force of; to remain firm against the actions, effects, or force of; withstand
www.starbase-10.de /vld/main.php?cmd=v2e&letter=T   (4302 words)

  
 Golden Software: Surfer Product Description
Choose from linear, logarithmic, or square root scaling methods
Calculate differential and integral operators utilizing gradient, Laplacian, biharmonic, and integrated volume operators
Use cross-validation to judge the suitability of the gridding method for the particular data set
www.goldensoftware.com /products/surfer/surfer.shtml   (2996 words)

  
 SM
You were not limited to only use squares as markers or solid lines to connect them - see
If you want a logarithmic plot, SM makes that easy for you.
You can take logs of a vector using the
www.astro.princeton.edu /~rhl/sm/sm.html   (13445 words)

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