Journal articles: 'Non-invariance'

1

Dier, Dominik. "Non-autonomous forms and invariance." Mathematische Nachrichten 292, no. 3 (October 15, 2018): 603–14. http://dx.doi.org/10.1002/mana.201700090.

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Woolley, R. G. "Gauge invariance in non–relativistic electrodynamics." Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 456, no. 2000 (August 8, 2000): 1803–19. http://dx.doi.org/10.1098/rspa.2000.0587.

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3

Davydov, Youri, and Vladimir Rotar. "On a non-classical invariance principle." Statistics & Probability Letters 78, no. 14 (October 2008): 2031–38. http://dx.doi.org/10.1016/j.spl.2008.01.070.

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4

Aneva, B. "Non-relativistic supersymmetry and gauge invariance." Journal of Physics A: Mathematical and General 22, no. 1 (January 7, 1989): 129–33. http://dx.doi.org/10.1088/0305-4470/22/1/019.

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Panoskaltsis, V. P., D. Soldatos, and S. P. Triantafyllou. "Invariance in non-isothermal generalized plasticity." Acta Mechanica 226, no. 3 (September 9, 2014): 931–54. http://dx.doi.org/10.1007/s00707-013-1003-2.

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Lee, HyeSun, and Weldon Z. Smith. "Fit Indices for Measurement Invariance Tests in the Thurstonian IRT Model." Applied Psychological Measurement 44, no. 4 (December 26, 2019): 282–95. http://dx.doi.org/10.1177/0146621619893785.

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This study examined whether cutoffs in fit indices suggested for traditional formats with maximum likelihood estimators can be utilized to assess model fit and to test measurement invariance when a multiple group confirmatory factor analysis was employed for the Thurstonian item response theory (IRT) model. Regarding the performance of the evaluation criteria, detection of measurement non-invariance and Type I error rates were examined. The impact of measurement non-invariance on estimated scores in the Thurstonian IRT model was also examined through accuracy and efficiency in score estimation. The fit indices used for the evaluation of model fit performed well. Among six cutoffs for changes in model fit indices, only ΔCFI > .01 and ΔNCI > .02 detected metric non-invariance when the medium magnitude of non-invariance occurred and none of the cutoffs performed well to detect scalar non-invariance. Based on the generated sampling distributions of fit index differences, this study suggested ΔCFI > .001 and ΔNCI > .004 for scalar non-invariance and ΔCFI > .007 for metric non-invariance. Considering Type I error rate control and detection rates of measurement non-invariance, ΔCFI was recommended for measurement non-invariance tests for forced-choice format data. Challenges in measurement non-invariance tests in the Thurstonian IRT model were discussed along with the direction for future research to enhance the utility of forced-choice formats in test development for cross-cultural and international settings.

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Wolf, E. "Spectral invariance and non-invariance of light generated by partially coherent sources." Applied Physics B Laser and Optics 60, no. 2-3 (1995): 303–8. http://dx.doi.org/10.1007/bf01135878.

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Fraser, Benjo, Dimitrios Manolopoulos, and Konstantinos Sfetsos. "Non-Abelian T-duality and modular invariance." Nuclear Physics B 934 (September 2018): 498–520. http://dx.doi.org/10.1016/j.nuclphysb.2018.07.017.

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9

Mehen, Thomas, Iain W. Stewart, and Mark B. Wise. "Conformal invariance for non-relativistic field theory." Physics Letters B 474, no. 1-2 (February 2000): 145–52. http://dx.doi.org/10.1016/s0370-2693(00)00006-x.

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Stavrova, A. "Homotopy invariance of non-stable K1-functors." Journal of K-Theory 13, no. 2 (October 10, 2013): 199–248. http://dx.doi.org/10.1017/is013006012jkt232.

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AbstractLet G be a reductive algebraic group over a field k, such that every semisimple normal subgroup of G has isotropic rank ≥ 2, i.e. contains (Gm)2. Let K1G be the non-stable K1-functor associated to G, also called the Whitehead group of G. We show that K1G(k) = K1G (k[X1 ,…, Xn]) for any n ≥ 1. If k is perfect, this implies that K1G (R) = K1G (R[X]) for any regular k-algebra R. If k is infinite perfect, one also deduces that K1G (R) → K1G (K) is injective for any local regular k-algebra R with the fraction field K.

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11

RAUT, SANTANU, and DHURJATI PRASAD DATTA. "NON-ARCHIMEDEAN SCALE INVARIANCE AND CANTOR SETS." Fractals 18, no. 01 (March 2010): 111–18. http://dx.doi.org/10.1142/s0218348x10004737.

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The framework of a new scale invariant analysis on a Cantor set C ⊂ I = [0,1], presented recently1 is clarified and extended further. For an arbitrarily small ε > 0, elements [Formula: see text] in I\C satisfying [Formula: see text], x ∈ C together with an inversion rule are called relative infinitesimals relative to the scale ε. A non-archimedean absolute value [Formula: see text], ε → 0 is assigned to each such infinitesimal which is then shown to induce a non-archimedean structure in the full Cantor set C. A valued measure constructed using the new absolute value is shown to give rise to the finite Hausdorff measure of the set. The definition of differentiability on C in the non-archimedean sense is introduced. The associated Cantor function is shown to relate to the valuation on C which is then reinterpreated as a locally constant function in the extended non-archimedean space. The definitions and the constructions are verified explicitly on a Cantor set which is defined recursively from I deleting q number of open intervals each of length [Formula: see text] leaving out p numbers of closed intervals so that p + q = r.

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12

Klicnarová, Jana, and Dalibor Volný. "An invariance principle for non-adapted processes." Comptes Rendus Mathematique 345, no. 5 (September 2007): 283–87. http://dx.doi.org/10.1016/j.crma.2007.05.009.

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13

Rai Dastidar, T. K., and K. Rai Dastidar. "Gauge Invariance in non-relativistic quantum mechanics." Il Nuovo Cimento B 109, no. 10 (October 1994): 1115–18. http://dx.doi.org/10.1007/bf02723234.

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14

Kochetkov, Sergey A., and Victor A. Utkin. "Invariance in the systems with non-ideal relays." IFAC Proceedings Volumes 44, no. 1 (January 2011): 7915–20. http://dx.doi.org/10.3182/20110828-6-it-1002.02095.

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15

Banerjee, Rabin, Arpita Mitra, and Pradip Mukherjee. "A new formulation of non-relativistic diffeomorphism invariance." Physics Letters B 737 (October 2014): 369–73. http://dx.doi.org/10.1016/j.physletb.2014.09.004.

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16

Preti, Giovanni, Fernando de Felice, and Luca Masiero. "On the Galilean non-invariance of classical electromagnetism." European Journal of Physics 30, no. 2 (February 9, 2009): 381–91. http://dx.doi.org/10.1088/0143-0807/30/2/017.

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17

Watanabe, Yuki, Atsushi Naruko, and Misao Sasaki. "Multi-disformal invariance of non-linear primordial perturbations." EPL (Europhysics Letters) 111, no. 3 (August 1, 2015): 39002. http://dx.doi.org/10.1209/0295-5075/111/39002.

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18

Burnel, A. "Gauge invariance and mass. II. Non-Abelian case." Physical Review D 33, no. 10 (May 15, 1986): 2985–90. http://dx.doi.org/10.1103/physrevd.33.2985.

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19

Antoniadis, Ignatios, Pawel O. Mazur, and Emil Mottola. "Conformal invariance, dark energy, and CMB non-gaussianity." Journal of Cosmology and Astroparticle Physics 2012, no. 09 (September 21, 2012): 024. http://dx.doi.org/10.1088/1475-7516/2012/09/024.

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20

Li, Xue-Qian, Yuan-Shan Li, Jia-Quan Zhang, Pei-Ying Zhao, and Qiang Zhao. "Observation of CP Non-Invariance in Σ + → Pγ." Communications in Theoretical Physics 19, no. 4 (June 1993): 475–88. http://dx.doi.org/10.1088/0253-6102/19/4/475.

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21

SIRA-RAMIREZ, HEBERTT. "Invariance conditions in non-linear PWM controlled systems." International Journal of Systems Science 20, no. 9 (September 1989): 1679–90. http://dx.doi.org/10.1080/00207728908910250.

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22

FRÖHLICH, J., and U. M. STUDER. "GAUGE INVARIANCE IN NON-RELATIVISTIC MANY-BODY THEORY." International Journal of Modern Physics B 06, no. 11n12 (June 1992): 2201–8. http://dx.doi.org/10.1142/s0217979292001092.

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We review some recent results on the physics of two-dimensional, incompressible electron and spin liquids. These results follow from Ward identities reflecting the U(1) em × SU(2) spin -gauge invariance of non-relativistic quantum mechanics. They describe a variety of generalized quantized Hall effects.

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23

Cho, H. T., H. M. Fried, and T. Grandou. "Non-Abelian gauge invariance and the infrared approximation." Physical Review D 37, no. 4 (February 15, 1988): 960–68. http://dx.doi.org/10.1103/physrevd.37.960.

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24

Vasco, D. W. "Invariance, groups, and non-uniqueness: the discrete case." Geophysical Journal International 168, no. 2 (February 2007): 473–90. http://dx.doi.org/10.1111/j.1365-246x.2006.03161.x.

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25

Baki, P. "Letter: Lorentz Non-Invariance Effect in Flavour Oscillations." General Relativity and Gravitation 35, no. 5 (May 2003): 891–98. http://dx.doi.org/10.1023/a:1022955422886.

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26

Abels, Helmut, and Christine Pfeuffer. "Spectral Invariance of Non-Smooth Pseudo-Differential Operators." Integral Equations and Operator Theory 86, no. 1 (September 2016): 41–70. http://dx.doi.org/10.1007/s00020-016-2315-0.

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27

Degiovanni, Pascal. "Modular invariance with a non simple symmetry algebra." Nuclear Physics B - Proceedings Supplements 5, no. 2 (December 1988): 71–86. http://dx.doi.org/10.1016/0920-5632(88)90370-2.

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28

Panoskaltsis, V. P., D. Soldatos, and S. P. Triantafyllou. "Erratum to: Invariance in non-isothermal generalized plasticity." Acta Mechanica 226, no. 3 (November 11, 2014): 955. http://dx.doi.org/10.1007/s00707-014-1256-4.

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29

Joumaa, Hady, and Martin Ostoja-Starzewski. "Stress and couple-stress invariance in non-centrosymmetric micropolar planar elasticity." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2134 (May 11, 2011): 2896–911. http://dx.doi.org/10.1098/rspa.2010.0660.

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The stress-invariance problem for a chiral (non-centrosymmetric) micropolar material model is explored in two different planar problems: the in-plane and the anti-plane problems. This material model grasps direct coupling between the Cauchy-type and Cosserat-type (or micropolar) effects in Hooke's law. An identical strategy of invariance is set for both problems, leading to a remarkable similarity in their results. For both problems, the planar components of stress and couple-stress undergo strong invariance, while their out-of-plane counterparts can only attain weak invariance, which restricts all compliance moduli transformations to a linear type. As an application, when heterogeneous (composite) materials are subjected to weak invariance, their effective (volume-averaged) compliance moduli undergo the same linear shift as that of the moduli of the local phases forming the material, independently of the microstructure, geometry and phase distribution. These analytical results constitute a valuable means to validate computational procedures that handle this particular type of material model.

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30

Bourrat, Pierrick. "Measuring Causal Invariance Formally." Entropy 23, no. 6 (May 30, 2021): 690. http://dx.doi.org/10.3390/e23060690.

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Invariance is one of several dimensions of causal relationships within the interventionist account. The more invariant a relationship between two variables, the more the relationship should be considered paradigmatically causal. In this paper, I propose two formal measures to estimate invariance, illustrated by a simple example. I then discuss the notion of invariance for causal relationships between non-nominal (i.e., ordinal and quantitative) variables, for which Information theory, and hence the formalism proposed here, is not well suited. Finally, I propose how invariance could be qualified for such variables.

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31

De Roover, Kim. "Finding Clusters of Groups with Measurement Invariance: Unraveling Intercept Non-Invariance with Mixture Multigroup Factor Analysis." Structural Equation Modeling: A Multidisciplinary Journal 28, no. 5 (April 7, 2021): 663–83. http://dx.doi.org/10.1080/10705511.2020.1866577.

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32

Abreu, Everton M. C., Rafael L. Fernandes, Albert C. R. Mendes, Jorge Ananias Neto, and Mario Jr Neves. "Duality and gauge invariance of non-commutative spacetime Podolsky electromagnetic theory." Modern Physics Letters A 32, no. 03 (January 11, 2017): 1750019. http://dx.doi.org/10.1142/s0217732317500195.

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The interest in higher derivative field theories has its origin mainly in their influence concerning the renormalization properties of physical models and to remove ultraviolet divergences. In this paper, we have introduced the non-commutative (NC) version of the Podolsky theory and we investigated the effect of the non-commutativity over its original gauge invariance property. We have demonstrated precisely that the non-commutativity spoiled the primary gauge invariance of the original action under this primary gauge transformation. After that we have used the Noether dualization technique to obtain a dual and gauge invariant action. We have demonstrated that through the introduction of a Stueckelberg field in this NC model, we can also recover the primary gauge invariance. In this way, we have accomplished a comparison between both methods.

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33

MOFFAT, J. W., and S. M. ROBBINS. "YANG–MILLS THEORY AND NON-LOCAL REGULARIZATION." Modern Physics Letters A 06, no. 17 (June 7, 1991): 1581–87. http://dx.doi.org/10.1142/s0217732391001706.

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34

YOKOMICHI, Masahiro, and Masasuke SHIMA. "Invariance of Hamiltonian Control Systems and Non-Dissipative Control." Transactions of the Society of Instrument and Control Engineers 30, no. 12 (1994): 1458–65. http://dx.doi.org/10.9746/sicetr1965.30.1458.

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35

Krastanov, Mikhail, Michael Malisoff, and Peter Wolenski. "On the strong invariance property for non-Lipschitz dynamics." Communications on Pure & Applied Analysis 5, no. 1 (2006): 107–24. http://dx.doi.org/10.3934/cpaa.2006.5.107.

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36

IMAI, Hideyuki. "Shift Invariance Property of a Non-Negative Matrix Factorization." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E103.A, no. 2 (February 1, 2020): 580–81. http://dx.doi.org/10.1587/transfun.2019eal2121.

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37

Klinkhamer, F. R. "Z-string global gauge anomaly and Lorentz non-invariance." Nuclear Physics B 535, no. 1-2 (December 1998): 233–41. http://dx.doi.org/10.1016/s0550-3213(98)00637-3.

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38

Di Francesco, P., H. Saleur, and J. B. Zuber. "Modular invariance in non-minimal two-dimensional conformal theories." Nuclear Physics B 285 (January 1987): 454–80. http://dx.doi.org/10.1016/0550-3213(87)90349-x.

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39

Hull, C. M., and P. K. Townsend. "Finiteness and conformal invariance in non-linear sigma models." Nuclear Physics B 274, no. 2 (September 1986): 349–62. http://dx.doi.org/10.1016/0550-3213(86)90289-0.

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40

Vairo, Antonio. "Poincaré invariance constraints on non-relativistic effective field theories." Nuclear Physics B - Proceedings Supplements 133 (July 2004): 196–201. http://dx.doi.org/10.1016/j.nuclphysbps.2004.04.164.

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41

Abi Jaber, Eduardo, Bruno Bouchard, and Camille Illand. "Stochastic invariance of closed sets with non-Lipschitz coefficients." Stochastic Processes and their Applications 129, no. 5 (May 2019): 1726–48. http://dx.doi.org/10.1016/j.spa.2018.06.003.

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42

Logemann, H., and E. P. Ryan. "Non-autonomous systems: asymptotic behaviour and weak invariance principles." Journal of Differential Equations 189, no. 2 (April 2003): 440–60. http://dx.doi.org/10.1016/s0022-0396(02)00144-4.

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43

Castle, Jennifer L., Jurgen A. Doornik, David F. Hendry, and Ragnar Nymoen. "Misspecification Testing: Non-Invariance of Expectations Models of Inflation." Econometric Reviews 33, no. 5-6 (November 27, 2013): 553–74. http://dx.doi.org/10.1080/07474938.2013.825137.

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44

Ghosh, Subir. "Gauge invariance and duality in the non-commutative plane." Physics Letters B 558, no. 3-4 (April 2003): 245–49. http://dx.doi.org/10.1016/s0370-2693(03)00277-6.

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45

Luzzatto, Stefano, and Lanyu Wang. "Topological invariance of generic non-uniformly expanding multimodal maps." Mathematical Research Letters 13, no. 3 (2006): 343–57. http://dx.doi.org/10.4310/mrl.2006.v13.n3.a2.

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46

Horiuchi, Ryo. "The non-nil-invariance of periodic topological cyclic homology." Homology, Homotopy and Applications 22, no. 2 (2020): 173–79. http://dx.doi.org/10.4310/hha.2020.v22.n2.a11.

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47

Fried, H. M., T. Grandou, and R. Hofmann. "On the non-perturbative realization of QCD gauge-invariance." Modern Physics Letters A 32, no. 33 (October 19, 2017): 1730030. http://dx.doi.org/10.1142/s0217732317300300.

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A few years ago the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green’s functions of QCD: effective locality. This feature of QCD is non-perturbative as it results from a full integration of the gluonic degrees of freedom. In this paper, previous derivations of effective locality are reviewed, corrected, and enhanced. Focusing on the way non-Abelian gauge-invariance is realized in the non-perturbative regime of QCD, the deeper meaning of effective locality is discussed.

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48

Del Aguila, F., and G. D. Coughlan. "The cosmological constant, non-compact symmetries and Weyl invariance." Physics Letters B 180, no. 1-2 (November 1986): 25–28. http://dx.doi.org/10.1016/0370-2693(86)90127-9.

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49

Dolgov, A. D., and V. A. Novikov. "CPT, Lorentz invariance, mass differences, and charge non-conservation." JETP Letters 95, no. 11 (August 2012): 594–97. http://dx.doi.org/10.1134/s0021364012110033.

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50

DEL CORSO, ILARIA, and ROBERTO DVORNICICH. "NON-INVARIANCE OF THE INDEX IN WILDLY RAMIFIED EXTENSIONS." International Journal of Number Theory 06, no. 08 (December 2010): 1855–68. http://dx.doi.org/10.1142/s1793042110003836.

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In this paper, we give an example of three wildly ramified extensions L1, L2, L3 of ℚ2 with the same ramification numbers and isomorphic Galois groups, such that I(nL1) > I(nL2) > I(nL3) for a suitable integer n (where I(nL) denotes the index of the ℚ2-algebra Ln). This example shows that the condition given in [2] for the invariance of the index of tamely ramified extensions is no longer sufficient in the general case.

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Journal articles on the topic 'Non-invariance'

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