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spectrum and graph
A graph of the intensity plotted against the frequency ( showing the amount of each color ) is the frequency spectrum of the light.
The resulting graph of the average rupture force as a function of the loading rate is called the force spectrum and forms the basic dataset for the dynamic force spectroscopy.
* has graph spectrum − 2, − 2, − 2, − 2, 1, 1, 1, 1, 1, 3.
* has characteristic polynomial, making it an integral grapha graph whose spectrum consists entirely of integers.
An undirected graph has a symmetric adjacency matrix and therefore has real eigenvalues ( the multiset of which is called the graph's spectrum ) and a complete set of orthonormal eigenvectors.
While the adjacency matrix depends on the vertex labeling, its spectrum is graph invariant.
The value measured in bin k + 10 and plotted on the spectrum graph is the response of that measurement to the imperfect ( i. e. windowed ) sinusoid 10 bins away.
Therefore the Hall – Janko graph is an integral graph: its spectrum consists entirely of integers.
The ideal quantum efficiency graph has a square shape, where the QE value is fairly constant across the entire spectrum of wavelengths measured.
It is the only graph with this characteristic polynomial, making it a graph determined by its spectrum.
Therefore the Desargues graph is an integral graph: its spectrum consists entirely of integers.
Especially, it studies the spectrum of the adjacency matrix, or the Laplacian matrix of a graph ( this part of algebraic graph theory is also called spectral graph theory ).
For the Petersen graph, for example, the spectrum of the adjacency matrix is (− 2, − 2, − 2, − 2, 1, 1, 1, 1, 1, 3 ).
Several theorems relate properties of the spectrum to other graph properties.
As a simple example, a connected graph with diameter D will have at least D + 1 distinct values in its spectrum .< ref name =" biggs ">.
Therefore, the action spectrum graph would show spikes above the wavelengths representing the colors red and blue.
* The graph spectrum of the Kneser graph is given as follows:

spectrum and is
The observed intensity of the radio emission of Venus is much higher than the expected thermal intensity, although the spectrum indicated by measurements at wave lengths near 3 cm and 10 cm is like that of a black body at about 600-degrees.
This result suggests a very high temperature at the solid surface of the planet, although there is the possibility that the observed radiation may be a combination of both thermal and non-thermal components and that the observed spectrum is that of a black body merely by coincidence.
For the case of Jupiter, the radio emission spectrum is definitely not like the spectrum of a black-body radiator, and it seems very likely that the radiation reaching the earth is a combination of thermal radiation from the atmosphere and non-thermal components.
There is a broad spectrum of organisms from which selection for a specified military purpose might be made.
An artist is a person engaged in one or more of any of a broad spectrum of activities related to creating art, practicing the arts and / or demonstrating an art.
Ampicillin is a beta-lactam antibiotic that is part of the aminopenicillin family and is roughly equivalent to its successor, amoxicillin in terms of spectrum and level of activity.
Generally the visible spectrum ( vmag ) is used for the apparent magnitude, but other spectrums such as the near-infrared J-band magnitude are also used.
In the visible spectrum Sirius is the brightest star in the night sky, while in the near-infrared J-band, Betelgeuse is the brightest star in the night sky.
In many countries, over-the-air broadcast television of analog audio and analog video signals is being discontinued, to allow the re-use of the television broadcast radio spectrum for other services such as datacasting and subchannels.
Thermal noise is white noise meaning that the power spectral density is constant throughout the frequency spectrum.
Flicker noise is electronic noise with a 1 / ƒ frequency spectrum ; as f increases, the noise decreases.
In classical LS AAS, as it has been proposed by Alan Walsh, the high spectral resolution required for AAS measurements is provided by the radiation source itself that emits the spectrum of the analyte in the form of lines that are narrower than the absorption lines.
In CS AAS, in contrast, a single lamp, emitting a continuum spectrum over the entire spectral range of interest is used for all elements.
The club coaches a broad spectrum of age groups, including local swimmer Niamh Robinson who is sponsored by local company TP Properties.
Arcturus is a type K1. 5 IIIpe orange giant star — the letters " pe " stand for " peculiar emission ," which indicates that the spectrum of light given off by the star is unusual and full of emission lines.

spectrum and symmetric
The spectrum of any bounded symmetric operator is real ; in particular all its eigenvalues are real, although a symmetric operator may have no eigenvalues.
Contrary to what is sometimes claimed in introductory physics textbooks, it is possible for symmetric operators to have no eigenvalues at all ( although the spectrum of any self-adjoint operator is nonempty ).
* the spectrum of a real valued process is symmetric:, or in other words, it is an even function

spectrum and if
With more advanced equipment, but still cheap in comparison to professional setups, amateur astronomers can measure the light spectrum emitted from astronomical objects, which can yield high-quality scientific data if the measurements are performed with due care.
Then g ( E ) is called the density of states if the energy spectrum is continuous.
Since the visible spectrum of light is composed of wavelengths between 390 and 750 nanometers ( nm ), if the droplet sizes in the emulsion are below about 100 nm, the light can penetrate through the emulsion without being scattered.
ISBN 0-86547-590-3 ( trade paperback )— A voluminous, if somewhat patchy, chronological / aesthetic history of Gothic covering the spectrum from Gothic architecture to The Cure.
Thus, if an optical brightener or color enhancer absorbs light energy and emits it through or with the dye, the appearance changes, as the spectrum of light re-emitted to the observer changes.
Parts of the electromagnetic spectrum of thermal radiation may be ionizing, if the object emitting the radiation is hot enough ( has a high enough temperature ).
( Strictly speaking, monochrome video does use the full spectrum, if arbitrary and unconstrained movement of subjects and / or cameras is permitted.
But if both reasons are true, then the IF spectrum in not inverted, and the non-inverting BFO ( 43000 Hz ) should be used.
Due to the Doppler shift, the absorption lines in the spectrum of a star will be shifted slightly toward the red ( or longer wavelengths ) if the star is moving away from the observer, or toward blue ( or shorter wavelengths ) when it moves toward the observer.
Second, even if the reaction being studied is elementary, a spectrum of individual collisions contributes to rate constants obtained from bulk (' bulb ') experiments involving billions of molecules, with many different reactant collision geometries and angles, different translational and ( possibly ) vibrational energies-all of which may lead to different microscopic reaction rates.
Phase noise can be measured using a spectrum analyzer if the phase noise of the device under test ( DUT ) is large with respect to the spectrum analyzer's local oscillator.
* It eliminates the dependence of a signal's power spectrum upon the actual transmitted data, making it more dispersed to meet maximum power spectral density requirements ( because if the power is concentrated in a narrow frequency band, it can interfere with adjacent channels due to the cross modulation and the intermodulation caused by non-linearities of the receiving tract ).
However if the detector is shot noise dominated, the noise will be proportional to the square root of the power, thus for a broad boxcar spectrum ( continuous broadband source ), the noise is proportional to the square root of m, thus precisely offset the Fellgett's advantage.
The primary advantages to the electron microscope based technique is the ability to resolve features down to 1 nanometer, the ability to measure an entire spectrum at each point ( hyperspectral imaging ) if the photomultiplier tube is replaced with a CCD camera, and the ability to perform nanosecond-to picosecond-level time-resolved measurements if the electron beam can be " chopped " into nano-or pico-second pulses.
First, naming bacteriocins by what they putatively kill would be more accurate if their killing spectrum were contiguous with genus or species designations.
Before beginning the process of peak identification, the analyst must determine if the BEs of the unprocessed survey spectrum ( 0-1400 eV ) have or have not been shifted due to a positive or negative surface charge.
MI can be decomposed into MI < sub > vis </ sub > and MI < sub > UV </ sub > if only part of the spectrum is being considered.
This outlook has been popular on both extremes of the political spectrum, even if they disagree on what the group wants to do.
In a certain frequency range, if the transitions of the absorbing centers are relatively sparse, the absorption spectrum in this region would be of a series of lines.
In spread spectrum systems like 3G, interference also occur inside the cell if non-orthogonal codes are used.
For example, a normal matrix is unitary if and only if its spectrum is contained in the unit circle of the complex plane.
Also, a normal matrix is self-adjoint if and only if its spectrum consists of reals.

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