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THE COMPLEMENTS OF LOWER CONES OF DEGREES AND THE DEGREE SPECTRA OF STRUCTURES

URI ANDREWS, MINGZHONG CAI, ISKANDER SH. KALIMULLIN, STEFFEN LEMPP, JOSEPH S. MILLER, ANTONIO MONTALBÁN
2016 Journal of Symbolic Logic (JSL)  
In particular, for degrees a from the interval [0′, 0″], such a structure exists if a′ = 0″, and there are no such structures if a″ > 0‴.  ...  We study Turing degrees a for which there is a countable structure ${\cal A}$ whose degree spectrum is the collection {x : x ≰ a}.  ...  Using a coding of families into structures, Kalimullin [3, 4] generalized the result of Slaman and Wehner to the complements of lower cones of some non-zero degrees: if a degree a is low or c.e. then  ... 
doi:10.1017/jsl.2015.59 fatcat:yrpsn43z2bfhjfswexltyp6nj4

Spectra of highn and non-lown degrees

A. Frolov, I. Kalimullin, V. Harizanov, O. Kudinov, R. Miller
2010 Journal of Logic and Computation  
We survey known results on spectra of structures and on spectra of relations on computable structures, asking when the set of all high n degrees can be such a spectrum, and likewise for the set of nonlow  ...  New results include realizations of the set of nonlow n Turing degrees as the spectrum of a relation on Q for all n ≥ 1, and a realization of the set of all nonlow n Turing degrees as the spectrum of a  ...  Acknowledgements The authors wish to acknowledge useful conversations with George Barmpalias, Julia Knight, and Andrei Morozov.  ... 
doi:10.1093/logcom/exq041 fatcat:4ttm3ddlnnchnc63blffravgau

JSL volume 81 issue 3 Cover and Front matter

2016 Journal of Symbolic Logic (JSL)  
complements of lower cones of degrees and the degree spectra of structures, by URI ANDREWS, MINGZHONG CAI, ISKANDER SH.  ...  These instructions include the Association's standards about previous publication and plagiarism as well as information about copyrights and electronic copies of published papers.  ... 
doi:10.1017/jsl.2016.56 fatcat:6esxyexmobh7xjcxeziwwrvz7i

Spherical harmonic representation of the gravitational potential of discrete spherical mass elements

Stephen T. Sutton, Henry N. Pollack, Michael J. Jackson
1991 Geophysical Journal International  
The spectra of dipolar distributions, useful in representing compensated masses, are depressed, especially in the low harmonic degrees, relative to the spectra of monopole elements.  ...  A point mass at the surface of a sphere displays the richest harmonic spectrum in all degrees; spectra become increasingly reddened as the source mass is distributed through larger elements of area or  ...  Fig. 4 .Figure 4 . 44 HARMONIC Spectra Q n of unit point masses located at various depths: Surface: surface of the earth (r' = 6371 km); U I L Mantle: boundary between upper and lower mantle (r' = 5701  ... 
doi:10.1111/j.1365-246x.1991.tb01157.x fatcat:7ukrzjb36rbavhdjrmcsyulj7m

Controlled K-theory I: Basic Theory

Frank Quinn
2012 Pure and Applied Mathematics Quarterly  
There is a rich array of assembly maps; the controlled assembly isomorphism theorem identifying the controlled group with homology; and a statement of the stability theorem describing the behavior of the  ...  There is also a careful treatment of spectral cosheaf homology and related tools, including an "iterated homology identity" giving a spectrumlevel version of the Leray-Serre spectral sequence.  ...  The image of this morphism has the cone structure over X − U 3 2 and the trivial structure over U 3 2 .  ... 
doi:10.4310/pamq.2012.v8.n2.a2 fatcat:wsnof5o7qzhrlhtx7erkjo3n3i

What are the degrees of freedom in the partonic fluid at RHIC ? [article]

Rene Bellwied
2007 arXiv   pre-print
The proposed new hadronization mechanisms not only serve as evidence for a deconfined partonic phase of matter, but also for strong coupling of the degrees of freedom in the deconfined phase.  ...  partonic phase and during the hadronization process.  ...  Fig.5a shows a comparison of B/M ratios in same-side and away-side jet cones triggered by a high momentum charged particle [12] , Fig.5b shows a comparison of B/M ratios in the same side jet cone and  ... 
arXiv:0709.4454v1 fatcat:z6dkqp6lhvc2haqrsp2xpznumq

Controlled K-theory I: Basic theory [article]

Frank Quinn
2005 arXiv   pre-print
This includes a rich array of assembly maps; the controlled assembly isomorphism theorem identifying the controlled group with homology; and the stability theorem describing the behavior of the inverse  ...  There is a careful treatment of spectral cosheaf homology and related tools, including an "iterated homology identity" giving a spectrum-level version of the Leray-Serre spectral sequence.  ...  The image of this morphism has the cone structure over X − U 3ǫ 2 and the trivial structure over U 3ǫ 2 .  ... 
arXiv:math/0402396v2 fatcat:2sigb2vusfecxjq52nsvrid6ii

Degree Spectra of Relations on a Cone

Matthew Harrison-Trainor
2018 Memoirs of the American Mathematical Society  
In general, at least at the lower levels, there seem to be far fewer degree spectra on a cone than there are degrees (or degree spectra not on a cone). We expect this pattern to continue.  ...  We believe that the study of degree spectra on a cone is interesting beyond the characterization of the degree spectra of naturally occurring structures.  ...  We will begin by stating the first two lemmas and using them to prove the induction step of the third lemma before returning to the proofs of the first two. Lemma 5.11.  ... 
doi:10.1090/memo/1208 fatcat:lc4wotxsy5b57aih3t2yn3djie

Measurement of thermal contribution to photoreceptor sensitivity

Ari Koskelainen, Petri Ala-Laurila, Nanna Fyhrquist, Kristian Donner
2000 Nature  
This work was supported by the Academy of Finland and by the Finnish Graduate Schools of Neuroscience and of Molecular Nanotechnology.  ...  Govardovskii for the nomogram-®tting program used for spectral analysis of pigments, H. Rita for statistical advice, C. Haldin and S. Pietila È for technical assistance, T.  ...  However, rhodopsin absorbance will affect the shape of both rod and cone spectra, as a virtually full dark-adapted complement of rhodopsin was present throughout all experiments.  ... 
doi:10.1038/35003242 pmid:10646610 fatcat:hhmsubbtyrexldh4jbq2vzhczq

Finite element method analysis of whispering gallery acoustic sensing

T Le, H Tran, R Fernandez, C J Solano Salinas, N Laal, R Bringas, J Quispe, F Segundo, A H La Rosa
2018 Journal of Physics, Conference Series  
Then we proceed to simulate the response of cavities of slightly different geometries, and investigate the dependence on the young modulus, poison ratio, and slight changes in dimensions.  ...  However, two aspects play against this objective: i) the unpredictable variability of the TF resonance frequency (upon attaching a SPM-probe to one of its tines), and ii) cavities of arbitrary geometry  ...  and then 0.5 kHz per degree).  ... 
doi:10.1088/1742-6596/1143/1/012014 fatcat:gauocoqnm5frhpqegln667yuwm

Distinguishing graphs with zeta functions and generalized spectra

Christina Durfee, Kimball Martin
2015 Linear Algebra and its Applications  
Along the way, we make some observations about the usual types of spectra and disprove a conjecture of Setyadi and Storm about Ihara zeta functions determining degree sequences.  ...  Conjecturally, almost all graphs are determined by their spectra. This problem has also been studied for variants such as the spectra of the Laplacian and signless Laplacian.  ...  The basic ideas are that the Ihara zeta function cannot detect "dangling edges," i.e., edges to a degree 1 node, but (i) taking cones or complements turns degree 1 nodes into higher degree nodes and (ii  ... 
doi:10.1016/j.laa.2015.04.028 fatcat:d32ja6jv3nckpfeo4gdt2ac5va

Optical Measurement of Pseudo-Spin Texture of the Exciton Fine-Structure in Monolayer WSe2 within the Light Cone [article]

Lorenz Maximilian Schneider, Shanece Esdaille, Daniel Rhodes, Katayun Barmak, James Hone, Arash Rahimi-Iman
2020 arXiv   pre-print
an extraordinary strong dispersion in the meV range within the light cone.  ...  Here, the exciton fine-structure's pseudo-spin and the valley polarization are investigated as a function of the centre-of-mass-momentum and excitation-laser detuning.  ...  Figure 1 | 1 Sketch of the sample excitation and exciton fine-structure dispersions.  ... 
arXiv:2005.13900v1 fatcat:mymh45keqneddgwooz6titje7e

Visual pigment reconstitution in intact goldfish retina using synthetic retinaldehyde isomers

Juliet W.L. Parry, James K. Bowmaker
2000 Vision Research  
Calibration curves have been constructed relating the u max of the native porphyropsins (visual pigments based on 11-cis 3-dehydroretinal) of the rods and four spectral classes of cone in the goldfish,  ...  The relationship between the u max of rhodopsins and isorhodopsins appears to be linear, such that the difference in u max changes sign at about 380 nm.  ...  We should like to thank Rosalie Crouch for the gift of 11-cis retinal, and also Stuart Peirson and Mathew Wright for assistance during experiments and for useful discussion.  ... 
doi:10.1016/s0042-6989(00)00101-2 pmid:10927111 fatcat:feawzvqe4bc6hct2melfmob66i

Coarse homotopy theory and boundary value problems [article]

Ulrich Bunke
2018 arXiv   pre-print
We provide an interpretation of the APS index theorem of Piazza-Schick and Zeidler in terms of coarse homotopy theory.  ...  On the one hand we propose a motivic version of the boundary value problem, the index theorem, and the associated secondary invariants.  ...  We assume that the decomposition (M ∞ , W ) of W ∞ is coarsely and uniformly excisive.  ... 
arXiv:1806.03669v1 fatcat:dmvlatir3zefrmo54vp765t7nu

Degree Spectra of Relations on a Cone [article]

Matthew Harrison-Trainor
2014 arXiv   pre-print
We introduce the partial order of degree spectra on a cone and begin the study of these objects.  ...  This work represents the beginning of an investigation of the degree spectra of "natural" structures, and we leave many open questions to be answered.  ...  In general, at least at the lower levels, there seem to be far fewer degree spectra on a cone than there are degrees (or degree spectra not on a cone). We expect this pattern to continue.  ... 
arXiv:1412.3842v1 fatcat:m3qqhqysqjfjlb7mlyatie5b5i
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