「Fourier」の共起表現(1語右で並び替え)

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Fourier

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cycle is found to be perfectly periodic and a Fourier analysis of the data does not give a sharp sp
Fourier Analysis
He is titular Professor of Fourier Analysis in the University of Cambridge and a
Lighthill, M. J., An Introduction to Fourier Analysis and Generalised Functions, Cambridge
applications to uncertainty principles in the Fourier analysis of Lp spaces.
thought which emphasizes the applications of Fourier analysis to the study of partial differential
ples, and mitigates the drawbacks of applying Fourier analysis for analyzing long incomplete data r
arieties, the Riemann-Roch theorem as well as Fourier analysis have been used for this purpose.
the battle with Ohm and Helmholtz, who took a Fourier analysis view of the sound of tones.
s work, Gabor discussed the problems with the Fourier analysis, and, according to him, although the
r, William (1995), "Geometric inequalities in Fourier analysis, Essays on Fourier Analysis in Honor
In quantum mechanics, information theory, and Fourier analysis, the Hirschman uncertainty is define
for real functions was an inequality used in Fourier analysis.
He then proceeds to Fourier and Robert Owen.
o Rhodakanaty tried to implement the ideas of Fourier and Proudhon during the administration of Pre
reduction algorithm which alternately applies fourier and object constraints the HIO "skips" the ob
Compute the Fourier coefficients of each pi using SWIFFT.
The Fourier component method reveals two new weak arms in
The new Fourier component method is actually assisted by the
an ambiguity of 2N, where N is the number of Fourier components that make up the specimen.
olor-age star formation angle sequence of the Fourier components establishes that the strong outer
ls of the atomic cores can be decomposed into Fourier components to meet the requirements of a desc
For example, the Fourier decomposition of a square wave consists of si
The lineage is: Euler, Lagrange, Fourier, Dirichlet, Lipschitz, Klein, Lindemann, Hilb
Novacam has also developed detectors based on Fourier domain - laser swept source (SS-OCT) technolo
Fourier Domain Mode Locking (FDML) is a laser modeloc
es the fact that the zero cone surface in the Fourier domain is fixed at the magic angle with respe
A Fourier domain mode locked laser consists of a ring c
e expressed as a point-wise multiplication in Fourier domain: .
Followers of Fourier established 29 similar colonies in various pa
This Fourier expression provides an efficient way to predi
es of Our Lady, with the future saint, Pierre Fourier, for the instruction of poor children and you
terest to researchers working in atom optics, Fourier imaging, and quantum computing.
Campbell, GA, Foster, RM, Fourier Integrals for Practical Applications, "Bell S
ntum mechanics follows from the properties of Fourier integrals and from assuming time invariance.
Fourier left an unfinished work on determinate equati
section, including Bonaparte himself, Costaz, Fourier, Malus, Monge.
March 21 - Joseph Fourier, mathematician (died 1830)
gime, the density contrast field is Gaussian, Fourier modes evolve independently, and the power spe
fluid flows faster, it develops more and more Fourier modes.
The Fourier number is frequently used as a nondimensional
Together with the Biot number, the Fourier number can be used to solve unsteady state co
following equation derived from the Biot and Fourier numbers can be used to find the time.
working as a musician , he collaborated with Fourier on newspapers.
We consider the Fourier operator, namely let T be the operator that t
Note that the Fourier phase depends on one's choice of coordinate o
It is a multi-particle extension of the Fourier ring correlation (FRC), which is related to t
nal information on the order of growth of its Fourier series beyond the fact that it is in .
A more abstract concept than Fourier series is the idea of Fourier transform.
is means that there are functions in L1 whose Fourier series does not converge in the L1 norm.
blishing the almost everywhere convergence of Fourier series for square-integrable functions (now k
In his free time he worked on Fourier series, a topic which interested him througho
tional prize for outstanding contributions to Fourier series.
theory, the Lebesgue constants are related to Fourier series.
sented as a complex harmonic motion using its fourier series.
copy, resolution is typically measured by the Fourier shell correlation (FSC), a three-dimensional
rs to when the correlation coefficient of the Fourier shells is equal to 0.5.
The HIO algorithm uses negative feedback in fourier space in order to progressively force the sol
ases, these wavelets become more localized in Fourier space (frequency) and in higher frequency ban
The zeroth order (the low frequencies in Fourier space) then passes through the hole and inter
The Planetary Fourier Spectrometer (PFS) is an infrared spectromete
Infrared Fourier Spectrometer
The Planetary Fourier Spectrometer was designed to make specialized
rcher in charge of the Mars Express Planetary Fourier Spectrometer, announced the discovery of meth
erferometer used in the core of the Planetary Fourier Spectrometer.
t the formula is also valid with Sn being the Fourier sum of a 2π-periodic function 'F' such that
s been determined by the Patterson method and Fourier syntheses and refined by the full-matrix leas
Hard X-ray Telescope (HXT) is a Fourier synthesis type X-ray imager.
equipment for scientific calculations, using Fourier synthesis to compute the principal terms in t
he electron density can be simply obtained by Fourier synthesis.
r phase extensions of complex transforms like Fourier techniques and their applications, and quanti
The opening time corresponds to the Fourier time which depends on the setting of the NSE
g NSE is that by the above means it can reach Fourier times of up to many 100ns, which corresponds
In Fourier Transform NMR spectroscopy and imaging, a pul
ting techniques), wedge imaging spectrometer, Fourier transform imaging spectrometer, computed tomo
Discrete-time Fourier transform
FTIR: Fourier Transform IR Spectrometer
fftpack: Discrete Fourier Transform algorithms
See also: Discrete Fourier transform
FTMS ( Fourier transform mass spectrometer)
Kestrel Fourier Transform (Visible) Hyperspectral Imager
Kohlrausch-Williams-Watts function ( Fourier transform of stretched exponential function)
It is the Fourier transform of the matter correlation function.
Fast Fourier Transform algorithm presented by Carle David
Instead of the normal Fourier transform SWIFFT uses the Number-theoretic tr
et h(t) be a causal filter with corresponding Fourier transform H(ω).
Caesium iodide can be used in Fourier Transform Infrared (FT-IR) spectrometers as a
hs and bond angles, has been determined using Fourier transform microwave spectroscopy.
It combines advantages of the short-time Fourier transform and the continuous wavelet transfor
The (q, p)-norm of the n-dimensional Fourier transform is defined to be
Fourier transform infrared (FTIR) spectroscopy can be
oppler velocimetry (PDV) is a one-dimensional Fourier transform analysis of a heterodyne laser inte
en performs the reconstruction of images from Fourier transform space.
Wavelets generalize the Fourier transform by using a basis that represents bo
Typically this is done via Short Time Fast Fourier Transform (STFFT).
Since the Fourier transform of the Gaussian function yields a G
and, g(t) is Hermitian and, consequently, its Fourier transform G(ω) is real-valued.
l is extracted from this data by performing a Fourier transform to give a mass spectrum.
ormed by coupling EGA with mass spectrometry, Fourier transform spectroscopy, gas chromatography, o
The combination with an FTIR ( Fourier Transform Infrared Spectrometer) has become p
These products yield sample points in the Fourier transform of the brightness temperature map o
ns are orthogonal and it is easy to perform a Fourier transform from real to reciprocal space and v
It is an infrared Fourier Transform spectrometer and provides key data
Fourier transform (FT) inverts the dimension, so the
wo-dimensional pattern is the two-dimensional Fourier transform of the initial beam's transverse in
nse filter, with the only difference that the Fourier transform of the filter window is explicitly
sform (discrete t), where it can exploit fast Fourier transform algorithms.
perly assembled gives the amplitude of the 3D Fourier transform of the molecule's electron density
For example if F(k) is the Fourier transform of f(x), a typical constraint would
act with P. P. Ewald of the importance of the Fourier transform in X-ray crystallography.
The frequency spectrum can be generated via a Fourier transform of the signal, and the resulting va
ugenia Kumacheva, Attenuated total reflection Fourier transform spectroscopy for on-chip monitoring
lation formula to compute an inverse discrete Fourier transform to obtain the filter coefficients.
d by electrospray ionization and trapped in a Fourier transform ion cyclotron resonance (Penning tr
wire antenna are analysed by a software Fast Fourier Transform algorithm and converted into audibl
he MIR region employ hyperspectral imagers or Fourier Transform Infrared (FT-IR) interferometers, d
Mainly because of the importance of fast Fourier transform (FFT) algorithms, numerous efficien
When the digital Fast Fourier transform became available, it was immediatel
Fourier transform ion cyclotron resonance mass spectr
e the diffraction pattern of an object is its Fourier transform and in order to properly inverse tr
ases (Φ), we are unable to complete the shown Fourier transform relating the experimental data from
ial domain representation, whereas a discrete Fourier transform produces the frequency domain infor
al integration method, making use of the fast Fourier transform for the evaluation of the polynomia
ribution for the plane, Source, such that its Fourier transform would have the amplitude distributi
within the band and Hr (f) is the continuous Fourier transform of the impulse response of the filt
AT), Czerny-Turner (CT) monochromator) or FT ( Fourier transform spectroscopy based), and CCD detect
nalyzer, quadrupole ion trap, time-of-flight, Fourier transform ion cyclotron resonance, and so on.
A linear ion trap combined with a Fourier transform ion cyclotron resonance or orbitrap
Imaging (MRI) systems are based on pulsed (or Fourier Transform) NMR; they do not rely on the use o
, for example, be used, as may the fractional Fourier transform).
dient which can be used to reconstruct, after Fourier Transform, spatially resolved images.
lated via a propagating function, such as the Fourier transform, if their intensities at their resp
Many digital filters are based on the Fast Fourier transform, a mathematical algorithm that quic
has been about reducing colouration, and Fast Fourier Transform, or FFT, measuring equipment was in
rmite functions are the eigenfunctions of the Fourier transform, and the (q, p)-norm of the Fourier
OS 3.0 featured Laplace and Fourier transform, differential equation graphs, fina
After applying a Fourier Transform, the signal can be represented in t
Even if it is quite longer to perform than Fourier transform, it has the advantage of not needin
in computer programs for performing the fast Fourier transform, a technique for analyzing the domi
new coordinates can be defined by a discrete Fourier transform, in order to de-couple them.
equality follows from basic properties of the Fourier transform.
ume p(x) and q(x) are related by the discrete Fourier transform.
ich explains the connection with the discrete Fourier transform.
pproach can be further sped up using the Fast Fourier transform.
raction pattern with a complex valued inverse Fourier transform.
approaches to x-ray diffraction based on the Fourier transform.
y in a complex fashion, and then subjected to Fourier transformation.
and the beam is focused onto this hole with a Fourier transforming lens.
rofile of the beam in a single plane: spatial Fourier transforms deliver the distribution of transv
of solvable Lie groups, and multidimensional Fourier transforms and the design of signal sets for
Fourier transforms have many uses.
Bochner's theorem on Fourier transforms appeared in a 1932 book.
trum, harmonic, or resonance are encountered, Fourier transforms or Fourier series are nearby.
The FSC is a comparison of two different Fourier transforms over different shells on frequency
Fourier transforms involve integrals rather than sums
ost intensive uses was to compute the inverse Fourier Transforms of data from the One-Mile Radio Te
Fourier transforms may be used to convert some differ
It can be expressed in terms of repeated Fourier transforms, and its discrete analogue can be
ructures including Finite fields and Discrete Fourier transforms.
, it is possible to do so using a sequence of Fourier transforms.
nceived already in November 1798, when Joseph Fourier was entrusted with the task of uniting the re