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Topic: Gaussian period


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In the News (Thu 16 Feb 12)

  
  List of topics named after Carl Friedrich Gauss - Wikipedia, the free encyclopedia
Gaussian period, related to cyclotomy in number theory.
Gauss' theorem may refer to the divergence theorem, which is also known as the Ostrogradsky-Gauss theorem.
Gaussian distribution, also called the normal distribution, a type of probability distribution.
en.wikipedia.org /wiki/Gaussian   (157 words)

  
 Gaussian period - Wikipedia, the free encyclopedia
In mathematics, in the area of number theory, a Gaussian period is a certain kind of sum of roots of unity.
The relation with the Gaussian periods comes from the observation that the set of a modulo n at which χ(a) takes a given value is an orbit O of the type introduced earlier.
The Gaussian periods lie in smaller fields, in general, since the values of the χ(a) when n is a prime p are (p − 1)-th roots of unity.
en.wikipedia.org /wiki/Gaussian_period   (819 words)

  
 Gaussian gravitational constant - Wikipedia, the free encyclopedia
The value of the astronomical unit is derived from it, and is no longer defined by the actual orbit of the Earth.
In modern ephemerides, the mean orbital axis of the Earth is slightly longer than 1 A.U., and the sidereal year is slightly shorter than 1 Gaussian year.
Gauss was not fully aware of the secular increase in the length of the mean solar day and unaware of the relativistic differences in the rate of clocks.
en.wikipedia.org /wiki/Gaussian_gravitational_constant   (316 words)

  
 [No title]   (Site not responding. Last check: 2007-11-01)
period [double precision real] The period of the sine curve, in units given by the perunit parameter perunit [string] The units for the period, either in seconds (S) or days (D) amplitude [real*4] The amplitude of the sine curve, using the same units as the input file.
The sine curve has a period of 2.53 s, an amplitude of 10 (in the units of the input file), and a time of zero phase of 49000.
The sine curve has a period of 0.367 d, an amplitude of 10 (in units of the input file), and a time of zero phase of 49000.
starchild.gsfc.nasa.gov /ftools/caldb/release/help/addsine.txt   (833 words)

  
 Wikinfo | Year   (Site not responding. Last check: 2007-11-01)
A year is the term for any period of time that is derived from the period of the orbit of the Earth around the Sun.
tropical year: the period for the Earth to complete one revolution with respect to the framework provided by the intersection of the ecliptic (the plane of the orbit of the Earth) and the plane of the equator (the plane perpendicular to the rotation axis of the Earth).
The gaussian year lasts 365.2568983 days, and is derived from the Gaussian gravitational constant that is expressed in units of the solar system.
www.wikinfo.org /wiki.php?title=Years   (782 words)

  
 [No title]
Given a periodic orbit at a particular energy or period, the monodromy method is a way of computing another periodic orbit (usually in the same family) at a nearby energy or period.
Given a periodic orbit at a particular energy, it is then necessary to calculate the quantities used in the trace formula (21).
Both the period and the monodromy matrix M are returned by the monodromy method itself once it has converged, so the only things remaining to be calculated are the action J and the Maslov index u.
www.mit.edu /~stevenj/Thesis/Thesis.html   (3397 words)

  
 Reference of all functions of Siglab - panel B functions.
During cycle portion of the period, it raises from moyenne-amplitude/2 to moyenne+amplitude/2.
With noise generation, it is possible to generate an uniform noise, a gaussian one or a random serie of bits.
The imaginary part is a uniform noise with an amplitude the amplitude which is given divide by sqrt(2) and a mean the imaginary part of the mean given.
www.linbox.com /ucome.rvt?file=/any/doc_distrib/scilab-2.6/siglab/reference2.html   (1168 words)

  
 [No title]
period is the period of the harmonic component.
Note that to maintain the relationship between the oscillation period and the envelope width implied by these published formulae, the functions should be called using sigma = period / (2 * sqrt(2)) as in the example above.
Making sigma larger for the same period means that more cycles of oscillation will be included in the mask; that is, the mask becomes more finely tuned in spatial frequency and less localised in space.
www.cs.bham.ac.uk /research/poplog/doc/popvision/help/gabormask   (642 words)

  
 Internetwork Oscillations
The frequency of occurrence of any oscillation at each period and lifetime is plotted according to the intensity scale on the right.
A summary of all internetwork oscillations for the first half (block A) of the 1700 Å data is shown in Figure 6.4.
Figure 6.4 is plotted on a inverted linear intensity scale, such that darker areas correspond to a larger number of pixels with oscillations at period P, for lifetime l.
hesperia.gsfc.nasa.gov /~jma/thesis/online/node72.html   (905 words)

  
 Research Computing Technologies
Gaussian 98 can serve as a powerful tool for exploring areas of chemical interest like substituent effects, reaction mechanisms, potential energy surfaces, and excitation energies.
Gaussian 98 can be executed in serial mode on a single node or in parallel mode on multiple cluster nodes for improved throughput.
To print the output from a Gaussian 98 job, use the sftp or scp command to transfer the output file to a machine which does have printing capabilities, such as your personal workstation, and print the output from that machine.
www.ats.ucla.edu /rct/software/chemistry/gaussian98.htm   (1041 words)

  
 Gaussian-Type Functions
For example, the 3-21G basis set has one contracted Gaussian function that is a linear combination of three primitive Gaussian functions for each inner-shell atomic orbital and two basis functions, one contracted Gaussian function that is a linear combination of two primitive Gaussians and one primitive Gaussian function, for each valence orbital.
The 6-31G* basis set represents each inner-shell orbital with one contracted Gaussian function that is a linear combination of six primitive Gaussian functions and each valence orbital with two basis functions, one contracted Gaussian function that is a linear combination of three primitive Gaussians and one primitive Gaussian function.
In addition, six d-type Gaussian functions for each nonhydrogen atom in the second or third period are included in the basis set.
www.chm.davidson.edu /ronutt/che401/Gaussian/Gaussian.htm   (599 words)

  
 data processing
A Gaussian function, unlike a Lorentzian, is nearly flat at time =0 and will therefore cause less broadening near the baseline.
In VNMR, a Gaussian function is defined by the two parameters, gf (its exponent, in the following example, it has been set to 1/2 the acquisition time), and gfs(the position of the maximum, in the following example, this has been set to 0, corresponding to the beginning of the FID).
This can be done by, for example, shifting the Gaussian apodization function (which simply involves setting gfs to the desired portion of the FID to be amplified).
bouman.chem.georgetown.edu /nmr/nuts/datproc.htm   (640 words)

  
 Bloomberg.com: Financial Glossary
Also called the time-weighted rate of return, a measure of the compound rate of growth of the initial portfoliomarket value during the evaluation period, assuming that all cashdistributions are reinvested in the portfolio.
Market or limited price order that remains viable for a stated period of time unless cancelled, executed, or changed, after which such order or the portion thereof not executed is to be treated as cancelled.
The payments gradually increase over a predetermined period (usually 3, 5, or 7 years), and then are fixed at a level-pay schedule, which will be higher than the level-pay amortization of a level-pay mortgage originated at the same time.
www.bloomberg.com /analysis/glossary/bfglosg.htm   (4767 words)

  
 AGU - Fall 2000 - Poster   (Site not responding. Last check: 2007-11-01)
Short period temporal mass variations may not be observable due to this sampling of the gravity field.
Simulations of gravity recover were carried out for the same time period using the NCEP model as part of the background model during the simulated data processing.
The errors in the estimated gravity field, in the absence of all other error effects, may be regarded as error contributions due to the variability of the atmospheric effects within the simulation interval.
www.csr.utexas.edu /personal/thompson/presentations/2000-fall-agu/poster.html   (2113 words)

  
 Recent Messages
Gaussian on the IBM SP: Effective immediately all Gaussian 94 and Gaussian 98 temporary files, *.d2e, *.int, *.rwf, and *.scr, will be removed 14 days (336 hours) after creation.
These files are removed automatically by Gaussian after the successful completion of a calculation; however, these files unecessarily take up disk space after a Gaussian calculation has crashed.
note: since the gaussian program is not installed on the sdvl machines you will not be able to submit gaussian jobs on those mahcines.
www.msi.umn.edu /user_support/compchem/recent.html   (2444 words)

  
 Argo: Running Gaussian 03
You will need a.cshrc file (the leading period is required followed by all lowercase letters) in your home directory.
The.tsnet.config (leaving period is required followed by all lowercase letters) is required..
Gaussian users are not required to place their scratch files in /tmp.
www.uic.edu /depts/accc/hardware/argo-new/g03.html   (2028 words)

  
 [No title]
By a periodic finite length sequence, we mean % circularly periodic.
To be periodic, the sequence length must be a % multiple of the period.
More specifically, if we treat our signal vector % (of length N) as one period of an infinite periodic sequence, then % it may be written as a sum of a fixed set of N sinusoids that are % periodic with period N. These frequencies are: 2*pi*k/N for % k=0,1,...,N-1.
www.cns.nyu.edu /~eero/math-tools00/lab/linSysTutorial.m   (1412 words)

  
 Binomial, Poisson and Gaussian distributions
The Poisson distribution applies when you are counting the number of objects in a certain volume or the number of events in a certain time period.
The Gaussian distribution applies when the outcome is expressed as a number that can have a fractional value.
If you know the mean and SD of this distribution, you can compute the fraction of the population that is greater (or less) than any particular value.
graphpad.com /quickcalcs/probability1.cfm   (183 words)

  
 AIPS HELP file (version 31DEC06) for PATGN   (Site not responding. Last check: 2007-11-01)
This pattern is similar to the Gaussian distribution.
It is similar to the Gaussian profile except that the peak is less sharp, with the tails of the distribution being wider.
This pattern produces a wide variety of frequencies (alternation of light and dark) at all possible angles and is thus very useful in testing the frequency response of various processing algorithms.
www.aoc.nrao.edu /cgi-bin/aips/ZXHLP2.PL?PATGN   (962 words)

  
 [No title]
Kepler's Third Law: The square of the period of a planet's orbit is proportional to the cube of its semimajor axis.
The Gaussian constant, k, is defined in terms of the Earth's orbit around the Sun.
period of the orbit is 900 days, to a precision of 1 percent
spiff.rit.edu /classes/phys440/lectures/kepler3/kepler3.html   (873 words)

  
 J&L Financial Planner Gaussian Distribution
A Gaussian Distribution of return rates for your investment expressed in the terms of an expected Minimum Return Rate and an expected Maximum Return Rate.
In fact, the Gaussian Distribution distributes the random rates such that 68.3 percent of the rates will fall within plus or minus one Standard Deviation from the Mean.
Generally the standard deviation that is quoted by your mutual fund company is an annualized standard deviation based on a fund's monthly performance over the past 36 months.
www.jlplanner.com /html/gauss.html   (562 words)

  
 Untitled Document   (Site not responding. Last check: 2007-11-01)
He defined new numbers, now called Gaussian integers, as numbers of the form x+iy, where x and y are ordinary integers.
For example, 5+3i, 2-i, and 7+0i are Gaussian integers, but 0.35-1.5i is not, because the coefficients in the last one are not ordinary integers, but decimal fractions.
Since 13=9+4 (sum of squares), 13 factors as 13=(3+2i)*(3-2i), and both (3+2i) and (3-2i) are prime in the Gaussian integers.
www.mtholyoke.edu /courses/mpeterso/math114/class22.html   (652 words)

  
 All DSS Dataset Titles and Summaries
All of the grids are on a gaussian (N80) grid with an approximate resolution of 1.125 degrees and are archived 4x/day.
The grids are all on a reduced gaussian (n80) grid with an approximate resolution of 1.125 degrees.
The choice of a T85 Gaussian grid was based on considerations of limiting the volume of new data generated to a moderate level, and to match the horizontal resolution of the Community Atmosphere Model (CAM) component of NCAR's Community Climate System Model (CCSM).
dss.ucar.edu /catalogs/summaries.html   (11381 words)

  
 [No title]   (Site not responding. Last check: 2007-11-01)
Calculate the period of the pendulum using both the small angle approximation and the precise value up to initial amplitudes of 90o by evaluating the elliptic integral.
For this problem, I used a sixteen point Gaussian Quadrature integration scheme to integrate the elliptical integral.
The dependence of the period on the initial amplitude is illustrated in the table and plot below.
physics.gmu.edu /~mrseth/pass6.html   (249 words)

  
 Quantitative Assessment of the Timing and Tuning of Visual-Related, Saccade-Related, and Delay Period Activity in ...
This interval, the delay period, ranged from 500 to 1000 ms.
this period, the monkey was engaged in stable fixation.
On each graph, name of example neuron is indicated in lower right corner, and level of activity observed during steady fixation before target onset is plotted with horizontal dashed line.
jn.physiology.org /cgi/content/full/90/3/2029   (9053 words)

  
 Math 9 Homework Page   (Site not responding. Last check: 2007-11-01)
Period 2: Find values m, h and k to minimize the sum of squared errors for a line fitting the data in Table 25
Period 4: Find values m, h and k to minimize the sum of squared errors for a line fitting the data in Table 26
Period 2: Find values m, h and k to minimize the sum of squared errors for a line fitting the data in Table 26
hs.riverdale.k12.or.us /~dthompso/homework/math90205.html   (351 words)

  
 NSR - document_view
shapeFactor: 1 for "on" for entire period (value=amplitude+offset), 0 for "off" for entire period (value=offset), 0.25 "on" for the first quarter of the period followed by "off" for the last three quarters of the period.
It's parameters are the same as the Square Wave, where shapeFactor controls the fraction of the period the sawtooth is rising and falling.
period: Period of 1 cycle of the sine wave.
nsr.bioeng.washington.edu /PLN/Members/butterw/JSIMDOC1.6/User_Fgen.stx   (2291 words)

  
 Random Source (DSP Blockset)
The Random Source block generates a frame of M values drawn from a uniform or Gaussian pseudorandom distribution, where M is specified by the Samples per frame parameter.
For both settings of the Method parameter, the output samples are drawn from the normal distribution defined by the Mean and Variance parameters.
For complex output with a Gaussian distribution, the real and imaginary components in each channel are drawn from normal distributions with different means.
www.weizmann.ac.il /matlab/toolbox/dspblks/randomsource.html   (1485 words)

  
 Global surface wave diffraction tomography   (Site not responding. Last check: 2007-11-01)
We describe a tomographic method based on a simplified version of the scattering sensitivity kernels that emerge from the Born or Rytov approximations in which surface wave travel times are a weighted average of phase or group slowness over the first Fresnel zone of the wave.
Significant differences in the amplitude and geometry of the imaged features appear primarily at long periods but exist even in the short-period maps in regions where average path lengths are large.
Diffraction tomography, therefore, is significant in most oceanic regions at all periods, but it is also important on continents at long periods at least.
www.agu.org /pubs/crossref/2002/2002JB001777.shtml   (368 words)

  
 www.satlab.hawaii.edu server   (Site not responding. Last check: 2007-11-01)
Since the first and second periods were interleaved in time, they were put together when being filtered on the common coarser resolution grid, so as to have a continuous time series for the new period 1.
the difference of number of observations entering each filtered data for the 2 periods is due to the fact that acquisitions were made every 20 minutes on a finer range resolution during the first period and only every hour on a coarser range resolution during the second period.
This is due to the fact that the original resolution was 1.2 km and the filter radial width is 6km with a range step of 3km, whereas for the second period the original resolution was 1.5 km, hence yielding the same number of original ranges for each range of the filtered data.
www.satlab.hawaii.edu /hfradar/proj/adria/results/raw_gro.html   (1273 words)

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