In this paper, we provide necessary and sufficient conditions for a function of the form F(x)=Trk 2k (Σi=1 t aix ri(2k -1)) to be bent. Three equivalent statements, all of them providing both the ...necessary and sufficient conditions, are derived. In particular, one characterization provides an interesting link between the bentness and the evaluation of F on the cyclic group of the (2 k +1)th primitive roots of unity in GF(2 2k ). More precisely, for this group of cardinality 2 k +1 given by U={u ∈ GF(2 2k ):u 2k +1=1}, it is shown that the property of being vectorial bent implies that Im(F)=GF(2 k )∪{0}, if F is evaluated on U, that is, F(u) takes all possible values of GF(2 k )* exactly once and the zero value is taken twice when u ranges over U. This condition is then reformulated in terms of the evaluation of certain elementary symmetric polynomials related to F, which in turn gives some necessary conditions on the coefficients ai (for binomial trace functions) that can be stated explicitly. Finally, we show that a bent trace monomial of Dillon's type Trk 2k (λx r(2k -1)) is never a vectorial bent function.
PURPOSE:To describe a case of a patient with bilateral proliferation of chondrocytes of the lower palpebral conjunctiva.
METHODS:Observational case report and review of relevant literature.
...RESULTS:Conjunctival biopsy from an 83-year-old man with bilateral acquired lower conjunctival nodules revealed a benign proliferation of chondrocytes. A general medical evaluation revealed serum monoclonal gammopathy with light-chain proteinuria.
CONCLUSIONS:Bilateral-acquired benign chondrocyte tumefactions of the palpebral conjunctiva have not been previously reported. This initiated a search for a biologically plausible explanation. The findings in this report support that these proliferations represent chondroid metaplasia related to light-chain deposition. The diagnosis requires exclusion of other forms of chondrocyte proliferation including well-differentiated chondrosarcoma.
We describe an otherwise healthy 24-year-old woman with reactive lymphoid hyperplasia of one lacrimal gland. She was found to have modest elevation of serum IgG4 and high density of IgG4+ plasma ...cells in her lacrimal gland, ranging from 40% to 60% of IgG+ plasma cells. The patient transiently responded to systemic corticosteroids before treatment with rituximab. IgG4-rich reactive lymphoid hyperplasia of the lacrimal gland is neither an established part of IgG4-related disease spectrum nor a known precursor lesion to lymphoma. Although there is a plausible risk of transforming to IgG4-related disease or to lymphoma, the biological potential and natural history of IgG4-rich reactive lymphoid hyperplasia remains to be determined.
Celotno besedilo
Dostopno za:
DOBA, IJS, IZUM, KILJ, NUK, PILJ, PNG, SAZU, UILJ, UKNU, UL, UM, UPUK
A 54-year-old woman underwent uncomplicated bilateral lower eyelid surgery for eyelid retraction using porcine decellularized membrane graft (TarSys). Left lower eyelid pain began several months ...after surgery and persisted until the graft was removed 15 months after implantation. The opposite eyelid graft caused no symptoms. Histologically, the lesion consisted of acellular collagen surrounded by florid granulomatous inflammation. Although the inflammatory reaction suggested a cell-mediated immune response, this pathway of injury is difficult to reconcile given the asymptomatic opposite eyelid. The literature reflects limited experience with porcine decellularized membranes of the eyelid. Complications and long-term tolerance remain to be determined.
Objective
To compare intraocular pressure (IOP) measurements in dogs taken with the Reichert® Tono‐Vera® Vet rebound tonometer with and without the automatic positioning system.
Animals Studied
...Measurements were taken on 49 eyes from 26 Beagle‐derived dogs with variable genetics—four non‐glaucomatous and 22 ADAMTS10‐mutant dogs affected with different stages of open‐angle glaucoma. Seventeen of the 26 dogs were measured 2–4 times on different days with variable intervals since IOP‐lowering medications were administered.
Procedures
In each dog, tonometry was performed with the Tono‐Vera® Vet using three different methods in a randomized order: (Method 1) Average of three readings with an automatic positioning system; (Method 2) one reading with an automatic positioning system; and (Method 3) average of three readings obtained without the automatic positioning system. Statistical analyses included one‐way ANOVA, Tukey pairwise comparisons, and Bland–Altman plots (MiniTab®).
Results
With each of the three tonometry methods, 116 measurements were taken, resulting in 348 total IOP measurements with a range of 12.8–49.9 mmHg. The means and standard deviations for each method were 25.4 ± 6.9 mmHg (Method 1), 26.0 ± 7.2 mmHg (Method 2), and 26.9 ± 7.7 mmHg (Method 3), with no significant differences (p = .27). Mean IOP variances were also not significantly different between tonometry methods (p = .24 to .78).
Conclusions
Because mean IOPs and their standard deviations were not statistically different between the three tonometry methods, we conclude that Tono‐Vera® Vet measurements conducted without the aid of the positioning system still provide reliable results.
To familiarize clinicians with the clinical and magnetic resonance imaging (MRI) features of a small orbital apex lymphaticovenous malformation that resulted in blindness and evaded timely clinical ...diagnosis.
A 68-year-old man presented with severe vision loss due to a 9 mm mass at the apex of the orbit above the optic nerve. When surgically removed 4 years later, the lesion was characterized by vascular spaces of varying size. Larger ones were filled with fibrin and organized thrombi. Stromal septa of endothelial-lined cavernous spaces were partially necrotic and there was evidence of remote hemorrhage. Some endothelial cells expressed D2-40, a marker of lymphatic channels.
Unless a high index of suspicion is maintained for a lymphaticovenous malformation the clinical diagnosis of a small but vision-threatening lesion can be overlooked.
Design methods for semi-bent functions Pasalic, E.; Gangopadhyay, S.; Zhang, W.-G. ...
Information processing letters,
March 2019, 2019-03-00, Letnik:
143
Journal Article
Recenzirano
•A method for designing semi-bent functions using so-called bent 4-decomposition is given.•A method of constructing semi-bent functions using so-called 5-valued spectra functions is proposed.•An ...approach of constructing semi-bent functions using two bent functions is considered.
Semi-bent functions play an important role in the construction of orthogonal variable spreading factor codes used in code-division multiple-access (CDMA) systems as well as in certain cryptographic applications. In this article we provide several infinite classes of semi-bent functions, where each class is characterized by either a different decomposition of such a function with respect to the Walsh spectra of its subfunctions, or by the method used for its derivation. In particular, we also give the exact number of possibilities of decomposing bent functions, in a subclass of the Maiorana–McFarland class.
Melanoma-associated spongiform scleropathy contiguous to a choroidal nevus was an incidental finding in a 57-year-old woman whose eye was removed for a separate choroidal-ciliary body melanoma. All ...previously reported cases of melanoma-associated spongiform scleropathy, except for one, have been found adjacent to posterior uveal melanoma. The mechanism of scleral degeneration in melanoma-associated spongiform scleropathy is unknown. Few cases of posterior uveal nevi have been reported since the description of spongiform scleropathy, making assessment of the specificity of the degeneration to melanoma alone difficult. The presence of melanoma-associated scleropathy adjacent to a choroidal nevus indicates that the condition is not exclusively linked to posterior uveal melanoma.
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