scholarly journals Liposuction in Gynecomastia: An Assessment of the Suction-assisted Arthroscopic Shaver Versus Open Disc Excision Techniques

Cureus ◽  
2019 ◽  
Author(s):  
Aqsa Akhtar ◽  
Farhan Eitezaz ◽  
Mamoon Rashid ◽  
Ibrahim Khan ◽  
Saleem A Malik
Keyword(s):  
Open Disc

The lichen genera Allographa and Graphis (Ascomycota: Ostropales, Graphidaceae) in Thailand—eleven new species, forty-seven new records and a key to all one hundred and fifteen species so far recorded for the country

Phytotaxa ◽  
2018 ◽  
Vol 377 (1) ◽  
pp. 1 ◽  
Author(s):  
JUTARAT KALB ◽  
ROBERT LÜCKING ◽  
KLAUS KALB
Keyword(s):  
New Species ◽  
New Records ◽  
Lemon Yellow ◽  
Open Disc ◽  
Complex Chemistry

We provide an updated account on the genera Graphis s.str. and Allographa (formerly included in Graphis) from Thailand. Four species of Allographa are described as new to science, viz. A. atrocelatoides, which differs from A. atrocelata in having marginata-morph lirellae and a smooth, off-white to beige thallus; A. kansriana, which differs from A. aquilonia in having negrosina-morph lirellae and brownish ascospores; A. schummii, which is characterized in having large, muriform ascospores and an open disc with a cinnabar-red pruina, reacting K+ lemon yellow; and A. sitianoides, which differs from A. sitiana in having immersed to erumpent lirellae and longer ascospores with more numerous septa. Twenty-seven further species are being recombined in the genus Allographa, viz A. acharii, A. aquilonia, A. atrocelata, A. elongata, A. hossei, A. leptospora, A. lumbricina, A. macella, A. marginata, A. norvestitoides, A. nuda, A. pavoniana, A. phaeospora, A. rhizicola, A. rimulosa, A. rufopallida, A. rustica, A. sauroidea, A. seminuda, A. semirigida, A. striatula, A. subdisserpens, A. subdussii, A. trichospora, A. verminosa, A. vestitoides, and A. xanthospora. Seven new Graphis species are described, viz. G. albocarpa, which differs from G. glaucescens in having a laterally to completely carbonized exciple, larger ascospores, and a norstictic acid chemistry; G. emersella, which differs from G. emersa in having hossei-morph lirellae and smaller ascospores with fewer septa; G. khaojoneana, which differs from G. bungartzii in having immersed, unbranched lirellae and smaller ascospores with fewer septa; G. omiana, which differs from G. luluensis in having larger ascospores with more numerous septa and a more complex chemistry relating to the stictic acid aggregate; G. schummiana, which differs from G. anfractuosa in having a laterally to completely carbonized exciple and in the reddish brown pruinose, K+ purple disc; G. sublitoralis, which differs from G. litoralis in having scripta-morph lirellae and in lacking protocetraric acid; and G. subschroederi, which differs from G. schroederi in having smaller ascospores and a laterally carbonized exciple. Four new lirellae morphs are defined, viz. filiformis-morph, balaghatensis-morph, leptogramma-morph and schummiana-morph. After several collecting trips to nineteen provinces of the country, further forty-seven new records of the two genera are added to the most recent checklist of Thai lichens. A key is given to all Allographa and Graphis species so far known for Thailand, as well as close-up photographs of the newly described or newly reported species. The following ten names are removed from the most recent Thai checklist: Graphis concolor ≡ Diorygma junghuhnii, G. fissurinoidea = Diorygma confluens, G. glaucocinerea = Graphis aphanes, G. glaucorufa = Allographa rufopallida, G. irosina = Acanthothecis dialeuca, G. longispora = G. koratensis, Graphis nuda (probably a misidentification), G. ochrocheila ≡ Dyplolabia ochrocheila, G. persimilis = Phaeographis hypoglauca, and G. subrigida = Platygramme platyloma. Graphis siamensis does not belong in this genus but is likely a species of Phlyctis. Graphis diplocheila has a clear hymenium and is a younger synonym of G. streblocarpa and G. dracaenae produces norstictic acid and must therefore kept apart from G. geraensis.

The Dirichlet Problem With Denjoy-Perron Integrable Boundary Condition

1985 ◽  
Vol 28 (1) ◽  
pp. 113-119 ◽  
Author(s):  
M. Benedicks ◽  
W. F. Pfeffer
Keyword(s):  
Boundary Condition ◽  
Dirichlet Problem ◽  
Classical Result ◽  
Integrable Function ◽  
Open Disc ◽  
Almost Everywhere ◽  
Nontangential Limits ◽  
Integrable Boundary Condition ◽  
Smooth Jordan Curve ◽  
Integrable Boundary Conditions

AbstractThe Poisson integral of a Denjoy-Perron integrable function defined on the boundary of an open disc is harmonic in this disc. Moreover, almost everywhere on the boundary, the nontangential limits of the integral coincide with the boundary condition. This extends the classical result for Lebesgue integrable boundary conditions. By means of conformai maps, a generalization to domains bounded by a sufficiently smooth Jordan curve is also obtained.

A Problem in the Open Disc

1993 ◽  
Vol 704 (1 Papers on Gen) ◽  
pp. 353-354
Author(s):  
GEORGE BALOGLOU ◽  
PHIL TRACY
Keyword(s):  
Open Disc

scholarly journals A new species of Glyphis Ach. and three new records of Graphis Adans. (Graphidaceae) from Bali Island, Indonesia

2018 ◽  
Vol 25 (2) ◽  
pp. 159-166
Author(s):  
Junita Hardini ◽  
Rina Sri Kasiamdari ◽  
Santosa Santosa ◽  
Purnomo Purnomo
Keyword(s):  
New Species ◽  
New Records ◽  
Key To Species ◽  
Open Disc ◽  
Secondary Substances ◽  
Lichenized Fungus ◽  
A New Species

Glyphis batuana Hardini, Kasiamdari & Purnomo sp. nov. is a new species of lichenized fungus found on the bark of the Frangipani tree (Plumeria sp.). The new species from Batuan village (Gianyar districts), Bali Island, Indonesia is described and illustrated. It is characterized by its lirelliform, unbranched ascomata, entire labia, black, open disc with brown pruina, completely carbonized excipulum, 8-spored asci with 8-10 locular ascospores, and lack of secondary substances. A key to species of Glyphis Ach. in Indonesia is provided. Three new records of Graphis Adans., namely G. conferta Zenker, G. immersella Mull. Arg. and G. nilgiriensis Adaw. & Makhija are also reported.

scholarly journals Sentry Selection in Wireless Networks

2010 ◽  
Vol 42 (01) ◽  
pp. 1-25 ◽  
Author(s):  
Paul Balister ◽  
Béla Bollobás ◽  
Amites Sarkar ◽  
Mark Walters
Keyword(s):  
Wireless Networks ◽  
Poisson Process ◽  
Classification Theorem ◽  
Infinite Plane ◽  
Open Disc

Let be a Poisson process of intensity one in the infinite plane ℝ2. We surround each point x of by the open disc of radius r centred at x. Now let S n be a fixed disc of area n, and let C r (S n ) be the set of discs which intersect S n . Write E r k for the event that C r (S n ) is a k-cover of S n , and F r k for the event that C r (S n ) may be partitioned into k disjoint single covers of S n . We prove that P(E r k ∖ F r k ) ≤ c k / logn, and that this result is best possible. We also give improved estimates for P(E r k ). Finally, we study the obstructions to k-partitionability in more detail. As part of this study, we prove a classification theorem for (deterministic) covers of ℝ2 with half-planes that cannot be partitioned into two single covers.

scholarly journals Order $p$ automorphisms of the open disc of a $p$-adic field

1999 ◽  
Vol 12 (1) ◽  
pp. 269-303 ◽  
Author(s):  
Barry Green ◽  
Michel Matignon
Keyword(s):  
Open Disc

scholarly journals Dynamical Behavior of some families of cubic functions in complex plane

2019 ◽  
Vol 24 (7) ◽  
pp. 122
Author(s):  
Mizal H. Alobaidi ◽  
Omar Idan Kadham
Keyword(s):  
Fixed Points ◽  
Critical Point ◽  
Complex Plane ◽  
Critical Points ◽  
Dynamical Behavior ◽  
Open Disc ◽  
Origin Point

The current study deals with the dynamical behavior of three cubic functions in the complex plane. Critical and fixed points of all of them were studied . Properties of every point were studied and the nature of them was determined if it is either attracting or repelling. First function  such that have two critical points  and three fixed points  such that is attracting when  is origin point As shown in figure (2).And  are attracting when  is the region specified by open disc  shown in figure (1.(c)).Second function  such that have two critical points   and three fixed points such that  is attracting when  and that its path is to the origin point as shown in figure (4).And  are attractive when  represents the open disc shown in the figure (3.(c)).Third function  such that  have one critical point  and three fixed points  is attracting that is path is the origin point and  are repelling as shown in figure (5). And all 2-cycles of  are repelling and unstable .   http://dx.doi.org/10.25130/tjps.24.2019.139

scholarly journals URS AND URSIMS FOR P-ADIC MEROMORPHIC FUNCTIONS INSIDE A DISC

2001 ◽  
Vol 44 (3) ◽  
pp. 485-504 ◽  
Author(s):  
Abdelbaki Boutabaa ◽  
Alain Escassut
Keyword(s):  
Characteristic Function ◽  
Analytic Functions ◽  
Nevanlinna Theory ◽  
Meromorphic Functions ◽  
Closed Field ◽  
Open Disc ◽  
Absolute Value ◽  
Unique Range Set ◽  
Bounded Characteristic ◽  
Primary 12H25

AbstractLet $K$ be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. We show that the $p$-adic main Nevanlinna Theorem holds for meromorphic functions inside an ‘open’ disc in $K$. Let $P_{n,c}$ be the Frank–Reinders’s polynomial$$ (n-1)(n-2)X^n-2n(n-2)X^{n-1}+ n(n-1)X^{n-2}-c\qq (c\neq0,\ c\neq1,\ c\neq2) $$and let $S_{n,c}$ be the set of its $n$ distinct zeros. For every $n\geq 7$, we show that $S_{n,c}$ is an $n$-points unique range set (counting multiplicities) for unbounded analytic functions inside an ‘open disc’, and for every $n\geq10$, we show that $S_{n,c}$ is an $n$-points unique range set ignoring multiplicities for the same set of functions. Similar results are obtained for meromorphic functions whose characteristic function is unbounded: we obtain unique range sets ignoring multiplicities of $17$ points. A better result is obtained for an analytic or a meromorphic function $f$ when its derivative is ‘small’ comparatively to $f$. In particular, for every $n\geq5$ we show that $S_{n,c}$ is an $n$-points unique range set ignoring multiplicities for unbounded analytic functions with small derivative. Actually, in each case, results also apply to pairs of analytic functions when just one of them is supposed unbounded. The method we use is based upon the $p$-adic Nevanlinna Theory, and Frank–Reinders’s and Fujimoto’s methods used for meromorphic functions in $\mathbb{C}$. Among other results, we show that the set of functions having a bounded characteristic function is just the field of fractions of the ring of bounded analytic functions in the disc.AMS 2000 Mathematics subject classification: Primary 12H25. Secondary 12J25; 46S10

scholarly journals Coefficient Estimates for Bi-Univalent Functions in Connection with Symmetric Conjugate Points Related to Horadam Polynomial

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1888
Author(s):  
S. Melike Aydoğan ◽  
Zeliha Karahüseyin
Keyword(s):  
Univalent Functions ◽  
Conjugate Points ◽  
Coefficient Estimates ◽  
Open Disc ◽  
Coefficient Bounds ◽  
Special Cases

In the current study, we construct a new subclass of bi-univalent functions with respect to symmetric conjugate points in the open disc E, described by Horadam polynomials. For this subclass, initial Maclaurin coefficient bounds are acquired. The Fekete–Szegö problem of this subclass is also acquired. Further, some special cases of our results are designated.

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