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1

Navarro, Silvana G., Romano L. M. Corradi, and Antonio Mampaso. "Distance determination to PNe using the extinction-distance method." Proceedings of the International Astronomical Union 7, S283 (2011): 460–61. http://dx.doi.org/10.1017/s1743921312011921.

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AbstractWe present individual distances to three PNe: NGC 6537, NGC 6781 and NGC 7027, determined by the extinction-distance method. These objects are part of a larger sample (35) of PNe that we observed at ORM. In order to apply this method, and to obtain accurate distances, we determined the spectral type of 40 to 60 stars in the line of sight of each PNe. This implied the necessity of classifying few thousands of stellar spectra with S/N ratio between 10 and 60. To solve such need we developed an ANN system to perform automatic spectral classification which could classify spectra with S/N r
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2

Houston, Heidi, and Hiroo Kanamori. "Comparison of strong-motion spectra with teleseismic spectra for three magnitude 8 subduction-zone earthquakes." Bulletin of the Seismological Society of America 80, no. 4 (1990): 913–34. http://dx.doi.org/10.1785/bssa0800040913.

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Abstract We studied strong-motion spectra observed for three Mw 7.8 to 8.0 earthquakes (the 1985 Michoacán, Mexico; 1985 Valparaíso, Chile; and 1983 Akita-Oki, Japan earthquakes). We determined the decay of spectral amplitude with distance from the station, considering different measures of distance from a finite fault. We compared strong-motion spectra (Fourier acceleration spectra) observed for these three earthquakes with those estimated from the source spectrum determined from teleseismic P waves. We scaled the teleseismic source spectra to produce reference strong-motion spectra at period
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3

Cvetkovic, Dragos. "Spectral recognition of graphs." Yugoslav Journal of Operations Research 22, no. 2 (2012): 145–61. http://dx.doi.org/10.2298/yjor120925025c.

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At some time, in the childhood of spectral graph theory, it was conjectured that non-isomorphic graphs have different spectra, i.e. that graphs are characterized by their spectra. Very quickly this conjecture was refuted and numerous examples and families of non-isomorphic graphs with the same spectrum (cospectral graphs) were found. Still some graphs are characterized by their spectra and several mathematical papers are devoted to this topic. In applications to computer sciences, spectral graph theory is considered as very strong. The benefit of using graph spectra in treating graphs is that
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4

Lin, Huiqiu, Dan Li, and Kinkar Ch Das. "Distance between distance spectra of graphs." Linear and Multilinear Algebra 65, no. 12 (2017): 2538–50. http://dx.doi.org/10.1080/03081087.2017.1278737.

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5

Garratt, R. C., R. W. Evans, S. S. Hasnain, and P. F. Lindley. "An extended-X-ray-absorption-fine-structure investigation of diferric transferrins and their iron-binding fragments." Biochemical Journal 233, no. 2 (1986): 479–84. http://dx.doi.org/10.1042/bj2330479.

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Iron K-edge extended-X-ray-absorption-fine-structure (e.x.a.f.s.) spectra were recorded for diferric human and rabbit serum transferrins and for diferric chicken ovotransferrin in aqueous solution; for ovotransferrin e.x.a.f.s. spectra from the N-terminal and C-terminal domain fragments were also measured. The overall spectral profiles closely resemble one another, indicating similar iron-binding sites. The simulation of the diferric ovotransferrin spectrum suggests a first co-ordination shell consisting of six low-Z ligands (nitrogen/oxygen), two ligands at a distance of approx. 0.185 nm (1.8
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6

Balasubramanian, K. "Distance Spectra and Distance Polynomials of Fullerenes." Journal of Physical Chemistry 99, no. 27 (1995): 10785–96. http://dx.doi.org/10.1021/j100027a018.

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7

Margolis, J. S. "Spectra at a Distance." Science 259, no. 5098 (1993): 1209–10. http://dx.doi.org/10.1126/science.259.5098.1209.

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8

Paul, Somnath. "On distance and distance Laplacian spectra of corona of two graphs." Discrete Mathematics, Algorithms and Applications 08, no. 01 (2016): 1650007. http://dx.doi.org/10.1142/s1793830916500075.

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Corona of two graphs has been defined in [F. Harary, Graph Theory (Addison-Wesley, 1969)]. In this paper, we study the distance and the distance Laplacian spectra of corona of two graphs and describe the complete distance (distance Laplacian) spectrum for some particular cases. As an application, we show that the corona operation can be used to create distance singular graphs. We also show that these results enable us to construct infinitely many pairs of distance (respectively, distance Laplacian) cospectral graphs. Last, we give a graph transformation and discuss its effect on the distance L
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9

Bozorgnia, Yousef, Mahmoud M. Hachem, and Kenneth W. Campbell. "Ground Motion Prediction Equation (“Attenuation Relationship”) for Inelastic Response Spectra." Earthquake Spectra 26, no. 1 (2010): 1–23. http://dx.doi.org/10.1193/1.3281182.

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This paper presents the process and fundamental results of a comprehensive ground motion prediction equation (GMPE, or “attenuation” relationship) developed for inelastic response spectra. We used over 3,100 horizontal ground motions recorded in 64 earthquakes with moment magnitudes ranging from 4.3–7.9 and rupture distances ranging from 0.1–199 km. For each record, we computed inelastic spectra for ductility ranging from one (elastic response) to eight. Our GMPE correlates inelastic spectral ordinates to earthquake magnitude, site-to-source distance, fault mechanism, local soil properties, an
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10

Wang, Chun, Yang Huang, Haibo Yuan, Huawei Zhang, Maosheng Xiang, and Xiaowei Liu. "The Value-added Catalog for LAMOST DR8 Low-resolution Spectra." Astrophysical Journal Supplement Series 259, no. 2 (2022): 51. http://dx.doi.org/10.3847/1538-4365/ac4df7.

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Abstract We present a value-added catalog containing stellar parameters estimated from 7.10 million low-resolution spectra for 5.16 million unique stars with spectral signal-to-noise ratios (S/N) higher than 10 obtained by the Large Sky Area Multi-Object Fibre Spectroscopic Telescope (LAMOST) Galactic spectroscopic surveys. The catalog presents values of stellar atmospheric parameters (effective temperature T eff, surface gravity log g, metallicity [Fe/H]/[M/H]), α-element to metal abundance ratio [α/M], carbon and nitrogen to iron abundance ratios [C/Fe] and [N/Fe], and 14 bands’ absolute mag
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11

Chen, Jianbo, Qun Zhou, Isao Noda, and Suqin Sun. "Quantitative Classification of Two-Dimensional Correlation Spectra." Applied Spectroscopy 63, no. 8 (2009): 920–25. http://dx.doi.org/10.1366/000370209788964520.

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Two-dimensional (2D) correlation spectroscopy, which takes advantage of the apparent enhancement of spectral resolution, is known to be useful in qualitative discrimination of seemingly similar samples. The possibility of quantitative classification of 2D correlation spectra is even more desirable. Two useful parameters, namely Euclidian distance and correlation coefficient between 2D correlation spectra, are introduced for this purpose. Dry and sweet red wine samples are used to demonstrate the utility of these parameters. The distances between the 2D infrared (IR) spectra of sweet and dry re
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12

Siebert, M. R., R. J. Foley, D. O. Jones, and K. W. Davis. "A possible distance bias for type Ia supernovae with different ejecta velocities." Monthly Notices of the Royal Astronomical Society 493, no. 4 (2020): 5713–25. http://dx.doi.org/10.1093/mnras/staa577.

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ABSTRACT After correcting for their light-curve shape and colour, Type Ia supernovae (SNe Ia) are precise cosmological distance indicators. However, there remains a non-zero intrinsic scatter in the differences between measured distance and that inferred from a cosmological model (i.e. Hubble residuals or HRs), indicating that SN Ia distances can potentially be further improved. We use the open-source relational data base kaepora to generate composite spectra with desired average properties of phase, light-curve shape, and HR. At many phases, the composite spectra from two subsamples with posi
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13

Abdollahi, Alireza, Shahrooz Janbaz, and Mohammad Reza Oboudi. "Distance between spectra of graphs." Linear Algebra and its Applications 466 (February 2015): 401–8. http://dx.doi.org/10.1016/j.laa.2014.10.020.

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14

Weathers, A. D., S. A. Altekar, and J. K. Wolf. "Distance spectra for PRML channels." IEEE Transactions on Magnetics 33, no. 5 (1997): 2809–11. http://dx.doi.org/10.1109/20.617738.

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15

Nokrane, Abdelkrim. "Estimating matching distance between spectra." Operators and Matrices, no. 4 (2009): 503–8. http://dx.doi.org/10.7153/oam-03-27.

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16

Zhang, Zhiyong, Shuo Wang, and Yanqing Zhang. "Non-Destructive Detection of Water Content in Pork Based on NIR Spatially Resolved Spectroscopy." Agriculture 13, no. 11 (2023): 2114. http://dx.doi.org/10.3390/agriculture13112114.

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Water is one of the important factors affecting pork quality. In this study, near-infrared (NIR) spatially resolved (SR) spectroscopy was used to detect the water content of pork. The SR spectra of 150 pork samples were collected within the light source–detector (LS-D) distance range of 4–20 mm (distance interval 1 mm). Models were established based on single-point SR spectra of 17 different LS-D distances and combination SR spectra. The results indicated that combination SR spectra achieved better model performance than the single-point SR spectra, and the LS-D distance significantly affected
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17

da Cunha Lima, A. T., I. C. da Cunha Lima, and M. P. de Almeida. "Analysis of turbulence power spectra and velocity correlations in a pipeline with obstructions." International Journal of Modern Physics C 28, no. 02 (2017): 1750019. http://dx.doi.org/10.1142/s012918311750019x.

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We calculate the power spectral density and velocity correlations for a turbulent flow of a fluid inside a duct. Turbulence is induced by obstructions placed near the entrance of the flow. The power spectral density is obtained for several points at cross-sections along the duct axis, and an analysis is made on the way the spectra changes according to the distance to the obstruction. We show that the differences on the power spectral density are important in the lower frequency range, while in the higher frequency range, the spectra are very similar to each other. Our results suggest the use o
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18

Hayat, Sakander, Asad Khan, and Mohammed J. F. Alenazi. "On Some Distance Spectral Characteristics of Trees." Axioms 13, no. 8 (2024): 494. http://dx.doi.org/10.3390/axioms13080494.

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Graham and Pollack in 1971 presented applications of eigenvalues of the distance matrix in addressing problems in data communication systems. Spectral graph theory employs tools from linear algebra to retrieve the properties of a graph from the spectrum of graph-theoretic matrices. The study of graphs with “few eigenvalues” is a contemporary problem in spectral graph theory. This paper studies graphs with few distinct distance eigenvalues. After mentioning the classification of graphs with one and two distinct distance eigenvalues, we mainly focus on graphs with three distinct distance eigenva
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19

Ilić, Aleksandar. "Distance spectra and distance energy of integral circulant graphs." Linear Algebra and its Applications 433, no. 5 (2010): 1005–14. http://dx.doi.org/10.1016/j.laa.2010.04.034.

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20

Gopalapillai, I., and D. C. Scaria. "THE DISTANCE RELATED SPECTRA OF SOME SUBDIVISION RELATED GRAPHS." Journal of Computer Science and Applied Mathematics 3, no. 1 (2021): 22–36. http://dx.doi.org/10.37418/jcsam.3.1.4.

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Let $G$ be a connected graph with a distance matrix $D$. The distance eigenvalues of $G$ are the eigenvalues of $D$, and the distance energy $E_D(G)$ is the sum of its absolute values. The transmission $Tr(v)$ of a vertex $v$ is the sum of the distances from $v$ to all other vertices in $G$. The transmission matrix $Tr(G)$ of $G$ is a diagonal matrix with diagonal entries equal to the transmissions of vertices. The matrices $D^L(G)= Tr(G)-D(G)$ and $D^Q(G)=Tr(G)+D(G)$ are, respectively, the Distance Laplacian and the Distance Signless Laplacian matrices of $G$. The eigenvalues of $D^L(G)$ ( $D
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21

Gawinkowski, Sylwester, Agnieszka Kamińska, Tomasz Roliński, and Jacek Waluk. "A new algorithm for identification of components in a mixture: application to Raman spectra of solid amino acids." Analyst 139, no. 22 (2014): 5755–64. http://dx.doi.org/10.1039/c4an01159g.

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22

B S, Durgi, Umesh Poojari, Revankar D S, and Hampiholi P R. "Distance Polynomial, Distance Spectra And Distance Energy Of Some Edge Deleted Graphs." International Journal of Mathematics Trends and Technology 67, no. 7 (2021): 94–103. http://dx.doi.org/10.14445/22315373/ijmtt-v67i7p512.

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23

Bozorgnia, Youself, Mansour Niazi, and Kenneth W. Campbell. "Characteristics of Free-Field Vertical Ground Motion during the Northridge Earthquake." Earthquake Spectra 11, no. 4 (1995): 515–25. http://dx.doi.org/10.1193/1.1585825.

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Characteristics of response spectra of free-field vertical ground motion recorded during the 1994 Northridge earthquake are examined. Dependence of vertical and horizontal response spectra, and their ratio, on the site-to-source distance is investigated through development of attenuation relationships for vertical and horizontal spectral ordinates. The database includes 123 response spectra of the motions recorded at 41 alluvial sites. Vertical-to-horizontal (V/H) response spectral ratio is found to be strongly dependent on period and distance of site to the seismic source. V/H spectral ratio
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24

Boatwright, John. "Regional propagation characteristics and source parameters of earthquakes in northeastern North America." Bulletin of the Seismological Society of America 84, no. 1 (1994): 1–15. http://dx.doi.org/10.1785/bssa0840010001.

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Abstract The vertical components of the S wave trains recorded on the Eastern Canadian Telemetered Network (ECTN) from 1980 through 1990 have been spectrally analyzed for source, site, and propagation characteristics. The data set comprises some 1033 recordings of 97 earthquakes whose magnitudes range from M ≈ 3 to 6. The epicentral distances range from 15 to 1000 km, with most of the data set recorded at distances from 200 to 800 km. The recorded S wave trains contain the phases S, SmS, Sn, and Lg and are sampled using windows that increase with distance; the acceleration spectra were analyze
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25

Kalkan, Erol, and Polat Gülkan. "Site-Dependent Spectra Derived from Ground Motion Records in Turkey." Earthquake Spectra 20, no. 4 (2004): 1111–38. http://dx.doi.org/10.1193/1.1812555.

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The current spectral shapes in the Turkish Seismic Code ( TSC) are based on broadly described geological conditions, ignoring fault distance or magnitude dependencies on spectral ordinates. To address this deficiency, a data set created from a suite of 112 strong ground motion records from 57 earthquakes that occurred between 1976 and 2003 has been used to develop horizontal attenuation relationships for Turkey. This way it is possible to construct hazard-consistent design spectra for any national seismic region. The results are compared with the site-dependent spectral shapes of the Uniform B
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26

Manjunatha, B. J., B. R. Rakshith, K. N. Prakasha, and N. V. Sayinath Udupa. "Distance Spectra of Some Double Join Operations of Graphs." International Journal of Mathematics and Mathematical Sciences 2024 (May 27, 2024): 1–8. http://dx.doi.org/10.1155/2024/2017748.

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In literature, several types of join operations of two graphs based on subdivision graph, Q-graph, R-graph, and total graph have been introduced, and their spectral properties have been studied. In this paper, we introduce a new double join operation based on H1,H2-merged subdivision graph. We compute the spectrum of a special block matrix and then use it to describe the distance spectra of some double join operations of graphs. At last, we give several families of distance equienergetic graphs of diameter 3.
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27

Qi, Yingyong, and Bernd Weinberg. "Spectral Slope of Vowels Produced by Tracheoesophageal Speakers." Journal of Speech, Language, and Hearing Research 34, no. 2 (1991): 243–47. http://dx.doi.org/10.1044/jshr.3402.243.

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Spectra of vowels were analyzed to determine whether differences exist between the spectral slope of vowels produced by tracheoesophageal (TE) speakers and normal speakers and, if so, to quantify such differences. The linear predictive autocorrelation method was used to calculate smoothed spectra and the spectra were normalized with respect to a low frequency component. Comparisons between normalized spectral energy within a selected high frequency range revealed that energy within this frequency range for vowels produced by TE speakers was significantly higher than that produced by normal spe
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28

Podemski, Robert, Witold Holubowicz, Claude Berrou, and Gerard Battail. "Hamming distance spectra of turbo-codes." Annales Des Télécommunications 50, no. 9-10 (1995): 790–97. http://dx.doi.org/10.1007/bf02997783.

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29

Drabløs, Finn. "Symmetric distance measures for mass spectra." Analytica Chimica Acta 201 (1987): 225–39. http://dx.doi.org/10.1016/s0003-2670(00)85340-4.

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30

Aouchiche, Mustapha, and Pierre Hansen. "Distance spectra of graphs: A survey." Linear Algebra and its Applications 458 (October 2014): 301–86. http://dx.doi.org/10.1016/j.laa.2014.06.010.

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31

Aalipour, Ghodratollah, Aida Abiad, Zhanar Berikkyzy, et al. "On the distance spectra of graphs." Linear Algebra and its Applications 497 (May 2016): 66–87. http://dx.doi.org/10.1016/j.laa.2016.02.018.

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32

Barik, Sasmita, and Gopinath Sahoo. "On the distance spectra of coronas." Linear and Multilinear Algebra 65, no. 8 (2016): 1617–28. http://dx.doi.org/10.1080/03081087.2016.1249448.

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33

Pokorný, M., and P. Híc. "DISTANCE SPECTRA OF H-JOIN GRAPHS." Advances and Applications in Discrete Mathematics 17, no. 3 (2016): 305–21. http://dx.doi.org/10.17654/dm017030305.

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34

Taniguchi, M., and Y. Xue. "Hellinger Distance Estimation for Nonregular Spectra." Theory of Probability & Its Applications 69, no. 1 (2024): 150–60. http://dx.doi.org/10.1137/s0040585x97t991805.

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35

Taniguchi, Masanobu, and Yujie Xue. "Hellinger distance estimation for nonregular spectra." Teoriya Veroyatnostei i ee Primeneniya 69, no. 1 (2024): 188–200. http://dx.doi.org/10.4213/tvp5541.

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Для стационарного гауссовского процесса выводится расстояние Хеллингера $T(f,g)$ между спектральными плотностями $f$ и $g$. Оценивая $T(f_\theta,f_{\theta+h})$ как $O(h^\alpha)$, мы выводим $1/\alpha$-состоятельную асимптотику оценки максимального правдоподобия для $\theta$ в случае нерегулярных спектральных плотностей. В случае же регулярных спектральных плотностей мы вводим оценку, основанную на минимизации расстояния Хеллингера: $\widehat{\theta}=\operatorname{arg}\min_\theta T(f_\theta,\widehat{g}_n)$, где $\widehat{g}_n$ - непараметрическая оценка спектральной плотности. Мы показываем, чт
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Usenko, I. A., A. S. Miroshnichenko, S. Danford, D. G. Turner, D. J. Majaess, and D. D. Balam. "SPECTROSCOPIC INVESTIGATIONS OF POLARIS FIELD STARS." Odessa Astronomical Publications 36 (December 4, 2023): 88–95. http://dx.doi.org/10.18524/1810-4215.2023.36.290534.

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We present the results of an analysis of 28 spectra of 18 Polaris field A–G V stars obtained in 2016–2023. Derived radial velocities and Teff along with distances and reddenings from the Gaia DR3 catalog allowed us to calculate radii of the stars and compare them with calibration relationships “Spectral type – Luminosity” for MS stars. As a result, radii and distances for 9 stars were found overestimated compared to those determined photometrically. Therefore, the DR3 distances are unreliable and should be revisited. According to our data for these stars and their photometric distances, 15 obj
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37

Huntley, Brian. "Dissimilarity Mapping Between Fossil and Contemporary Pollen Spectra in Europe for the Past 13,000 Years." Quaternary Research 33, no. 3 (1990): 360–76. http://dx.doi.org/10.1016/0033-5894(90)90062-p.

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AbstractThe degree of analogy between fossil and contemporary pollen spectra in Europe has been investigated using the chord-distance dissimilarity measure. No-analog pollen spectra represent vegetation without a modern analog and hence, by inference, represent macroclimatic conditions different from any occurring in the region today. Such spectra have minimum chord distances that exceed a threshold value assessed using contemporary samples from the same and different vegetation u units. Contoured maps of minimum chord distance portray the changing patterns of analogous and no-analog pollen sp
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38

Zdziarski, Andrzej A. "Variable jet Lorentz factors can explain soft self-absorbed radio spectra of accreting black holes." Monthly Notices of the Royal Astronomical Society: Letters 489, no. 1 (2019): L58—L62. http://dx.doi.org/10.1093/mnrasl/slz127.

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Abstract We study the effect of variable jet bulk Lorentz factors, i.e. either jet acceleration or deceleration, on partially synchrotron self-absorbed radio spectra from cores of radio-loud active galactic nuclei and black hole binaries in the hard state. In about a half of quasars and radio galaxies, their core radio spectra are observed to be soft, i.e. have the spectral index of α < 0. If they are emitted by jets with constant Lorentz factors, that softness implies deposition of large amounts of energy at large distances from the centre. We show here that such soft spectra can be explai
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39

Sabetta, Fabio, and Antonio Pugliese. "Estimation of response spectra and simulation of nonstationary earthquake ground motions." Bulletin of the Seismological Society of America 86, no. 2 (1996): 337–52. http://dx.doi.org/10.1785/bssa0860020337.

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Abstract Italian strong-motion data were used to study the attenuation of response spectra and to simulate artificial accelerograms as a function of magnitude, distance, and site geology. The database has already been utilized for the study of the attenuation of peak ground acceleration (PGA) and velocity and consists of 95 accelerograms from 17 earthquakes of magnitudes ranging from 4.6 to 6.8. Using multiple regressions, we developed empirical predictive equations for the vertical and horizontal components of response spectra corresponding to 14 frequencies ranging from 0.25 to 25 Hz. Predic
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40

Zhiya, Wumani Victor, Omololu Akin-Ajo, Enemona Titus Ogbe, Peverga Rex Jubu, and Adepoju Adebayo Tolulopea. "Effects of Intermolecular Distance on the Absorption Spectra of Organic Semiconductors." International Journal of Innovation in Engineering 4, no. 4 (2025): 28–36. https://doi.org/10.59615/ijie.4.4.28.

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Organic semiconductors have several advantages over conventional inorganic semiconductors. The optical properties of π-conjugated organic molecules are important in determining the performance efficiencies of photovoltaic cells, optoelectronic devices and organic thin-film transistors and lasers. This work examined the variation of absorption spectra of three organic semiconductors (perylene, pentacene, and sexithienyl) with their geometries and intermolecular distances between the dimer molecules. Quantum mechanical calculations using the PM3 semi-empirical approximation were used to obtain t
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Kaliyaperumal, Sakthidevi, and Kalyani Desikan. "Universal Distance Spectra of Join of Graphs." European Journal of Pure and Applied Mathematics 17, no. 1 (2024): 462–76. http://dx.doi.org/10.29020/nybg.ejpam.v17i1.5019.

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Consider G a simple connected graph. In this paper, we introduce the Universal distance matrix UD (G). For α, β, γ, δ ∈ R and β ̸= 0, the universal distance matrix UD (G) is defined asUD (G) = αTr (G) + βD(G) + γJ + δI,where Tr (G) is the diagonal matrix whose elements are the vertex transmissions, and D(G) is the distance matrix of G. Here J is the all-ones matrix, and I is the identity matrix. In this paper, we obtain the universal distance spectra of regular graph, join of two regular graphs, joined union of three regular graphs, generalized joined union of n disjoint graphs with one arbitr
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42

Schmutz, Werner, and Ian D. Howarth. "The Distance to HD 50896 (EZ CMA)." Symposium - International Astronomical Union 143 (1991): 639. http://dx.doi.org/10.1017/s0074180900046015.

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The WN5 star HD 50896 lies in the same sightline as the open cluster Cr 121. In order to investigate the possibility of cluster membership, we observed the interstellar Na D lines in the spectra of HD 50896 (=EZ CMa, =WR6) and stars in its neighbourhood (on the plane of the sky) at high spectral resolution (R=80,000 and 105,000). The observations were obtained with the 1.4-m coudé auxiliary telescope and the coudé echelle spectrograph of the European Southern Observatory.From the strengths and velocity structure of the interstellar features it is immediately clear that HD 50896 is not a member
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43

Catral, Minerva, Lorenzo Ciardo, Leslie Hogben, and Carolyn Reinhart. "Spectra of products of digraphs." Electronic Journal of Linear Algebra 36, no. 36 (2020): 744–63. http://dx.doi.org/10.13001/ela.2020.5243.

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A unified approach to the determination of eigenvalues and eigenvectors of specific matrices associated with directed graphs is presented. Matrices studied include the new distance matrix, with natural extensions to the distance Laplacian and distance signless Laplacian, in addition to the new adjacency matrix, with natural extensions to the Laplacian and signless Laplacian. Various sums of Kronecker products of nonnegative matrices are introduced to model the Cartesian and lexicographic products of digraphs. The Jordan canonical form is applied extensively to the analysis of spectra and eigen
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44

Good, S. W., O. K. Rantala, A. S. M. Jylhä, C. H. K. Chen, C. Möstl, and E. K. J. Kilpua. "Turbulence Properties of Interplanetary Coronal Mass Ejections in the Inner Heliosphere: Dependence on Proton Beta and Flux Rope Structure." Astrophysical Journal Letters 956, no. 1 (2023): L30. http://dx.doi.org/10.3847/2041-8213/acfd1c.

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Abstract Interplanetary coronal mass ejections (ICMEs) have low proton beta across a broad range of heliocentric distances and a magnetic flux rope structure at large scales, making them a unique environment for studying solar wind fluctuations. Power spectra of magnetic field fluctuations in 28 ICMEs observed between 0.25 and 0.95 au by Solar Orbiter and Parker Solar Probe have been examined. At large scales, the spectra were dominated by power contained in the flux ropes. Subtraction of the background flux rope fields increased the mean spectral index from −5/3 to −3/2 at kd i ≤ 10−3. Rope s
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45

Harmsen, Stephen C. "Estimating the diminution of shear-wave amplitude with distance: Application to the Los Angeles, California, urban area." Bulletin of the Seismological Society of America 87, no. 4 (1997): 888–903. http://dx.doi.org/10.1785/bssa0870040888.

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Abstract The rate of decay with distance of shear-wave amplitude, computed from 20-sec S-wave spectra, is determined from TERRAscope records of small earthquakes in the greater Los Angeles area. Piecewise log-linear interpolation functions and traditional diminution functions are used to fit spectral decay to a maximum distance of 150 km. Simultaneously, isotropic source and receiver terms are determined. Separate branches of the spectral decay function are found for two categories of source depth: greater than 10 km and less than 10 km. In the hypocentral distance range of 20 to 150 km and in
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46

Frizzarin, Maria, Isobel Claire Gormley, Alessandro Casa, and Sinéad McParland. "Selecting Milk Spectra to Develop Equations to Predict Milk Technological Traits." Foods 10, no. 12 (2021): 3084. http://dx.doi.org/10.3390/foods10123084.

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Including all available data when developing equations to relate midinfrared spectra to a phenotype may be suboptimal for poorly represented spectra. Here, an alternative local changepoint approach was developed to predict six milk technological traits from midinfrared spectra. Neighbours were objectively identified for each predictand as those most similar to the predictand using the Mahalanobis distances between the spectral principal components, and subsequently used in partial least square regression (PLSR) analyses. The performance of the local changepoint approach was compared to that of
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47

Cambianica, P., G. Cremonese, G. Munaretto, et al. "A high-spectral-resolution catalog of emission lines in the visible spectrum of comet C/2020 F3 (NEOWISE)." Astronomy & Astrophysics 656 (December 2021): A160. http://dx.doi.org/10.1051/0004-6361/202140309.

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Aims. Comet C/2020 F3 (NEOWISE) is considered to be the brightest comet observed in the northern hemisphere since the passage of comet C/1995 O1 (Hale-Bopp) in 1997. Since the study of comets offers a unique opportunity to investigate the early stages of the formation and evolution of our Sun and the Solar System, we obtained high-resolution optical spectra (R = λ/Δλ = 11 5000) of comet NEOWISE. The unique passage and its brightness yielded spectra with a large number of emission lines, providing information on the coma composition and the physical and chemical processes occurring in the nucle
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48

Varghese, Renny P., and D. Susha. "Vertex Distance Complement Spectra of Some Graphs." Annals of Pure and Applied Mathematics 16, no. 1 (2018): 69–80. http://dx.doi.org/10.22457/apam.v16n1a9.

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49

Rather, Bilal Ahmad, and Mustapha Aouchiche. "Distance Laplacian spectra of graphs: A survey." Discrete Applied Mathematics 361 (January 2025): 136–95. http://dx.doi.org/10.1016/j.dam.2024.10.001.

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50

Nath, Milan, and Somnath Paul. "On the distance Laplacian spectra of graphs." Linear Algebra and its Applications 460 (November 2014): 97–110. http://dx.doi.org/10.1016/j.laa.2014.07.025.

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