... Please let me know if you find any errors. \begin{equation} \mathrm{lb}(x) \equiv \log_{\rm 2}(x) \end{equation} . ... begin{equation} \log_{a}(1) = 0 \end{equation} . ... begin{equation} \log_{a}(x) = \frac{\log_{b}(x)}{\log_{b}(a)} \end{equation} . ... begin{equation} \sin(\alpha) \equiv \frac{\mathrm{opp}}{\mathrm{hyp}} \end{equation} . ... begin{equation} \sin(\alpha) = \frac{1}{2 \mathrm{i}} \left( \mathrm{e}^{\mathrm{i} \alpha} - \mathrm{e}^{-\mathrm{i} \alpha} \right) \end{equation} . ...

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• tHermes key definitions
• Imaging and Image Velocity Definitions - INVERT and VELSW
• casacore: casa::QC Class Reference

spaceweb@oulu.fi - last update: 1 July 1998, 1200 UT (RR) . ... Relates the wave number k to the wave frequency. ... From the equation of motion , m d v /dt = q( v x B ) one can calculate that, in a presence of magnetic field B , a charged particle is accelerated in direction perpendicular to both v (perp) and B . ... The angle a between magnetic field B and velocity vector of a charged particle, v ., i.e., sin a = v(perp) / v(total), where v(perp) refers to the velocity component perpendicular to B . ...

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• Newton's Second Law
• Discontinuities and shocks [Oulu]
• Motion in a Circle

... The first of the equations defines the position of the spectral orders, m , in the raw image, while the second equation gives, for each order, the dispersion relation in one dimension. ... where the coefficients are computed using least squares techniques on a grid , i.e. sample number and line number of points located within the spectral orders of the image. These points in the grid are found automatically by an order--following algorithm, normally using the FLAT or STD image. ...

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• Order definition: Method Hough
• Background Definition
• Definition of objects, sky subtraction and extraction of objects

... Indeed, one alteration of orbits can be the outright ejection of a planet. When several big planets are orbiting a star under each other's influence, the system is inherently unstable. ... We know of no good reason why the smallest objects with fusion should have the same mass as the smallest objects that can form by themselves. ... 6) Mission Definition . ... I don't think this mission is impossible, and will suggest a definition in a future article in Mercury. ... Good luck! . ...

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• ASP: Pluto By Any Definition?

The HyperNews Linux KHG Discussion Pages . Forum: The Linux Kernel Hackers' Guide . Date: Mon, 02 Feb 1998 13:54:56 GMT . From: Franky < genie@risq.belcaf.minsk.by > . I found recently that signal IDs, defined in src/include/asm-i386/signal.h are confused: . #define SIGABRT 6 #define SIGIOT 6 . is that the right approach? .

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• SMP: Two Definitions?
• Finding definitions in the source

lsst.tcc љ 1.2.2-3-g89ecb63 . ... Files . FileљList . ... python . tcc . mov . pathSegment.py . ... 22 љ def __init__ (self, pA, vA, pB, vB, dt, doPos): . ... 92 љ # Note that lim (j->0) t_pexArr = - vA / aA, yet the equation used below . ... tcc.mov.pathSegment.PathSegment.pMax . ... Definition: pathSegment.py:83 . tcc.mov.pathSegment.PathSegment.dt . ... tcc.mov.pathSegment.PathSegment.__repr__ . ... Definition: pathSegment.py:130 . ... tcc.mov.pathSegment.PathSegment.aPeak . ...

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• lsst.tcc: tcc::PVAJT Class Reference
• lsst.coordConv: include/coordConv/mathUtils.h Source File
• lsst.coordConv: include/coordConv/physConst.h Source File

Subject of Celestial Mechanics. ... Differential Absolute Coordinates Equations of the Problem. ... General Integral of Non-Perturbed Motion. ... General Equation of Non-Perturbed Orbit. ... Other Integration Methods of Non-Perturbed Motion Differential Equations; Bine Equation for Case of Non-Perturbed Motion. ... Ellipsical Motion, Kepler Equation. ... Motion Differential Equations in Absolute Coordinates. ... Equation of System of Bodies Motion in Barycentric Coordinates, in Relative Coordinates. ...

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... Consequently, it is inappropriate to expand and in ordinary spherical harmonics. The proper expansion expresses both and simultaneously in terms of a particular order of generalized spherical harmonics. ... Generalized spherical harmonics start at , and for each , . ... Generalized spherical harmonics obey a sum rule analogous to a familiar one for ordinary spherical harmonics, but it includes an explicit phase factor which depends on the orientation of the two lines of sight. ...

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• The INTEGRAL Science Data Centre
• Towards a General Definition for Spectroscopic Resolution
• Design Study on Integration of StarView II and JIPA Using Advanced Java

... Конструктор (constructor) - утверждение о существовании экземпляра класса или резидента ; в результате доказательства конструкторов происходит построение новых экземпляров классов и резидентов . Различаются конструкторы миров (а именно простые конструкторы и конструкторы процессов ) и конструкторы резидентов . Конструктор мира (constructor of world) - простой конструктор или конструктор процесса . ... Доказательство конструктора процесса приводит к созданию нового процесса . ...

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... Meta Index . Library of Fortran 90 (and Perl) utilities needed for SAS task development. ... Module index . General-purpose array-processing utilities . Array or vector scalar integers . Return largest true index of a logical vector . Return smallest true index of a logical vector . ... Array or vector scalar reals . ... Array or vector array or vector . ... DSS utilities . ... Routines which return information about DSS components . ... Routines which act on DSS RangeT vectors . ...

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• Definitions

To: file acf-to-spectrum.wpd From: Jon Hagen Date: April 2, 2004 Subject: Transforming correlation functions to spectra I. Recovering a Power Spectrum from a Sampled Autocorrelation Function The power spectrum, by definition, is the Fourier Transform of the autocorrelation function (ACF). ... Note also that the sampled ACF points extend only to some max, so the spectrum we calculate will have been effectively convolved with a smoothing function. ... Let us denote the cross spectrum as U() + jV(). ...

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• http://www.naic.edu/~phil/hardware/vertex/sharemegsvertex/lcu/pcr/c600/source/STARTUP/HEAP.INC
• http://www.naic.edu/alfa/ealfa/papers/2005AAS...20719202M.pdf
• http://www.naic.edu/~phil/pnt/offsetDef.html

... Electric Forces . 19.Motion in a Circle . ... In the absence of forces, motion in a straight line and constant velocity continues indefinitely. ... Each rotation the stone covers a distance . ... Since its velocity v equals the distance it moves in one second, one finds . ... while the actual motion brings it to some point D on the circle, whose center will be denoted by O. In the absence of forces, motion in a straight line and constant velocity continues indefinitely. ...

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• Motion in a Circle--Lesson Plan #29
• Frames of Reference: The Basics
• Newton's Laws of Motion - 1. Force and Inertia

... The Theoretcial Astrophysics subroutine library provides constants and functions commonly used in astrophysical modelling. It began in 1992 as a joint project between CCP7 and Starlink, initiated by Simon Jeffery and Paul Rees. ... SUBROUTINE TAP_ESYMB ( IZ, SYMBOL, STATUS ) . ... SUBROUTINE TAP_ENAME ( IZ, NAME, STATUS ) . ... SUBROUTINE TAP_ABINI ( TAP_ABUND, STATUS ) . ... SUBROUTINE TAP_ERROR ( TAP_ROUTN, NAME, TEXT, STATUS ) . ... SUBROUTINE TAP_ERREP ( TAP_ROUTN, STATUS ) . ...

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• Definition of Scientific Misconduct

... Exposure Time Calculator (ETC) . Survey processing . ... VISTA is a 4-m class wide field survey telescope for the southern hemisphere, equipped with a near infrared camera (1.65 degree diameter field of view at VISTA's nominal pixel size) containing 67 million pixels of mean size 0.34 arcsec and available broad band filters at Z,Y,J,H,K s and a narrow band filter at 1.18 micron. A wide field visible camera, if constructed, could also be used on VISTA. ... Tile . ... ESO VISTA Public Surveys . ...

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• SADT - Survey Area Definition Tool - for VISTA
• Observing with VISTA

... Content Model: Optional list header (LH), followed by one or more terms (DT) and definitions (DD). A definition list is a list of terms and corresponding definitions. Definition lists are typically formatted with the term on the left with the definition following on the right or on the next line. ... The definition list element can take the COMPACT attribute, which suggests that a compact rendering be used, and is appropriate if the list elements are small and/or the entire list is large. ...

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... Please, don't use any personal macros and definitions. % stract Pattern %**start of header \long\def\maintitle#1{{\vskip 1em \ begin { center }\section*{#1}\ end { center }\nopagebreak[4]}} \long\def\author#1{{\ begin { center }\normalsize{\bf#1}\ end { center }\vskip-1em \index{#1}}\nopagebreak[4]} \long\def\address#1{{\ begin { center }\small\noindent#1\ end { ... Initial conditions $x_0=x(t_0), \dot{x}_0=\dot{x}(t_0)$ of Equtions (1) are determined by the region of possible motions $R_0.$ ...

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... Us . ... Merging Calls . ... Call Status . ... The Agent will be warned after three hours (Triage) or after six hours (Team Level) of inactivity, and again if still unedited. ... When the User replies, calls move to this status. The Agent will be warned after two days of inactivity, and again every day thereafter. ... Thinks they solved the problem, but want to leave the call open for a bit. ... The Agent will be warned after ten (business) days of inactivity, and again every day thereafter. ...

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• HSP Instrument Definition Team Reports
• Chapter 2: Header Keyword Definitions
• Chapter 3: Table Definitions

... A baseline vector is oriented from telescope 1 to telescope 2, i.e. the baseline coordinates are the coordinates of station 2 minus the coordinates from station 1. In the aperture plane, the coordinate increases to the East, and the coordinate increases to the North. ... In PEARL, a map on the sky is allocated with the -coordinate corresponding to RA, which increases to the left (East). The relationship between visibility and map is then . ...

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• ESO - Observing conditions: definitions
• ESO - Are there order definition frames with spatial information, i.e. using 9
• Ultra High Definition Expedition | ESO

... Recent Topics . ... Forum . MAO main . Info . Definition of Polarization Angle . info . ... От: "Claus Leitherer" . ... Тема: Definition of Polarization Angle . ... Please take note of the attached IAU recommendation concerning the definition . of the polarization angle in astronomical measurements. ... www.mao.kiev.ua/images/postbyemail/Polarization.pdf . ... Board Categories MAO main - Info - MAO - news - Flame Technical - Technical Support(Forum)(Техподдержка(Форум)) . ...

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... The trgm contrib module provides functions and index classes for determining the similarity of text based on trigram matching. ... The set of trigrams in the word "cat" is " c", " ca", "at " and "cat". *real similarity(text, text) . ... The trgm module comes with an index operator class that allows a developer to create an index over a text column for the purpose of very fast similarity searches. ... CREATE TABLE test_trgm (t text); CREATE INDEX trgm_idx ON test_trgm USING gist(t gist_trgm_ops); . ...

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• GiST - Introduction
• Locale support for Joe's editor