scholarly journals Fillings of skew shapes avoiding diagonal patterns

2021 ◽  
Vol vol. 22 no. 2, Permutation... (Special issues) ◽  
Author(s):  
Vít Jelínek ◽  
Mark Karpilovskij

A skew shape is the difference of two top-left justified Ferrers shapes sharing the same top-left corner. We study integer fillings of skew shapes. As our first main result, we show that for a specific hereditary class of skew shapes, which we call D-free shapes, the fillings that avoid a north-east chain of size $k$ are in bijection with fillings that avoid a south-east chain of the same size. Since Ferrers shapes are a subclass of D-free shapes, this result can be seen as a generalization of previous analogous results for Ferrers shapes. As our second main result, we construct a bijection between 01-fillings of an arbitrary skew shape that avoid a south-east chain of size 2, and the 01-fillings of the same shape that simultaneously avoid a north-east chain of size 2 and a particular non-square subfilling. This generalizes a previous result for transversal fillings. Comment: 23 pages, 14 figures; formatting changes for publication in DMTCS, no changes in content

2005 ◽  
Vol 56 (5) ◽  
pp. 753 ◽  
Author(s):  
Erik Berg ◽  
Tuula H. Sarvas ◽  
Alf Harbitz ◽  
Svein Erik Fevolden ◽  
Arnt Børre Salberg

The distinction between north-east Arctic cod and Norwegian coastal cod, two major groups of Atlantic cod (Gadus morhua L.), has for many years been based on different distance and shape similarities between the two first translucent growth zones in the otoliths, subjectively decided by visual inspection in a binocular. To analyse the certainty of this technique, four independent readers have classified 263 cod otoliths in total from five different geographical areas. For three of the readers, between 82% and 89% of the classification results coincided with independent results based on genetic analyses. Further, 38 cod otoliths, where the readers were certain of the classification (21 north-east Arctic cod and 17 coastal cod) were classified by several image analysis methods. A complete separation was obtained by using the ratio of the circumferences of the two zones, providing a typical ratio of approximately 2 for coastal and 1.5 for north-east Arctic cod. The otolith method for separating the two types of cod has been considered adequately accurate in assessing the two stocks of cod. However, the method is sensitive to subjective interpretation, and action needs to be taken to minimise the difference in interpretation among otolith readers.


2018 ◽  
Vol 617 ◽  
pp. A20 ◽  
Author(s):  
R. Aladro ◽  
S. König ◽  
S. Aalto ◽  
E. González-Alfonso ◽  
N. Falstad ◽  
...  

Aiming to characterise the properties of the molecular gas in the ultra-luminous infrared galaxy Mrk 273 and its outflow, we used the NOEMA interferometer to image the dense-gas molecular tracers HCN, HCO+, HNC, HOC+ and HC3N at ∼86 GHz and ∼256 GHz with angular resolutions of 4ʺ̣9 × 4ʺ̣5 (∼3.7 × 3.4 kpc) and 0ʺ̣61 × 0ʺ̣55 (∼460 × 420 pc). We also modelled the flux of several H2O lines observed with Herschel using a radiative transfer code that includes excitation by collisions and far-infrared photons. The disc of the Mrk 273 north nucleus has two components with decoupled kinematics. The gas in the outer parts (R ∼ 1.5 kpc) rotates with a south-east to north-west direction, while in the inner disc (R ∼ 300 pc) follows a north-east to south-west rotation. The central 300 pc, which hosts a compact starburst region, is filled with dense and warm gas, and contains a dynamical mass of (4 −5) × 109 M⊙, a luminosity of L′HCN = (3–4) × 108 K km s−1 pc2, and a dust temperature of 55 K. At the very centre, a compact core with R ∼ 50 pc has a luminosity of LIR = 4 × 1011 L⊙ (30% of the total infrared luminosity), and a dust temperature of 95 K. The core is expanding at low velocities ∼50–100 km s−1, probably affected by the outflowing gas. We detect the blue-shifted component of the outflow, while the red-shifted counterpart remains undetected in our data. Its cold and dense phase reaches fast velocities up to ∼1000 km s−1, while the warm outflowing gas has more moderate maximum velocities of ∼600 km s−1. The outflow is compact, being detected as far as 460 pc from the centre in the northern direction, and has a mass of dense gas ≤8 × 108 M⊙. The difference between the position angles of the inner disc (∼70°) and the outflow (∼10°) indicates that the outflow is likely powered by the AGN, and not by the starburst. Regarding the chemistry in Mrk 273, we measure an extremely low HCO+/HOC+ ratio of 10 ± 5 in the inner disc of Mrk 273.


2016 ◽  
Vol 34 (26_suppl) ◽  
pp. 8-8
Author(s):  
Scott D Siegel ◽  
Cynthia Fanning

8 Background: Advanced care planning (ACP) for people with life-limiting cancer has been associated with improved patient quality of life and care more consistent with patient wishes. Nevertheless, even though approximately 70% of patients with a life-limiting illness will require the substituted judgment of a proxy, fewer than 25% of patients have documented goals of care. This poor uptake has been attributed to limits in physician time and ACP training. The current study evaluated the feasibility of utilizing a physician-extender trained in ACP best practices to overcome these barriers and improve ACP uptake. Methods: Patients who met criteria for a life-limiting cancer diagnosis were identified by support staff in Medical Oncology offices and the Emergency Department (ED) in a large North East community health care system. Pending physician approval, a Licensed Clinical Social Worker (LCSW) with training and experience in ACP was available to provide support and assistance to patients, which included but was not limited to ACP. The LCSW initially met patients in clinic and subsequently in whatever way was most convenient for the patient (at future appointments, by phone, inpatient, or at the patient’s home). The program was approved by the Medical Oncology section and the Emergency Department. Results: ACP uptake, calculated as the percentage of eligible patients who participated in the program, was 14.6% in the Medical Oncology practices (60/140) and 44.6% (41/92) in the ED. The difference in uptake between the two sites was significant, χ2(1, N = 502) = 41.88, p < .01, and was primarily the result of Medical Oncologists determining that ACP was not appropriate for a subset of eligible patients. Conclusions: The results of this feasibility evaluation suggest that limits in time and ACP training are not the primary barriers to ACP uptake in oncology. Instead, the type of physician and setting proved to be important correlates of uptake. We consider the implications of these findings and identify next steps to better understand the factors that influence physician participation in ACP.


1992 ◽  
Vol 119 (3) ◽  
pp. 401-409 ◽  
Author(s):  
D. B. Coates ◽  
J. H. Ternouth

SUMMARYTwelve yearling Droughtmaster heifers were grazed on a tropical grass/legume pasture in north-east Australia for 1 year in four paddocks, each of 4 ha. One paddock was fertilized annually with 10 kg P/ha (treatment HPF). The other three paddocks had low soil P and low pasture P status. In one of the low soil P paddocks, P was added to the drinking water (treatment HPS) but no supplement was provided in the other two paddocks (treatments LP1 and LP2). In February, May and August 1989, the P kinetics of the heifers were monitored following oral administration of ruminal chromic oxide capsules and i/v injection of 32P. At the same times, oesophageal-fistulated steers were grazed in the paddocks to obtain extrusa samples to estimate the P content and digestibility of selected forage.The liveweight gain per heifer was higher in the HP treatments (196 kg) than in the LP treatments (152 kg). The intake, absorption and excretion of P were closely related but the faecal excretion of P relative to P intake was less in heifers with than without P supplement. The P intakes of the LP heifers were about half the quantities recommended in the nutrient feeding standards for the observed food intakes and weight gains. The coefficients of P absorption in the LP heifers in May and August were high (> 0·8) and did not decrease with age or liveweight. The coefficients of P absorption of heifers given supplementary P were as high as those for LP heifers, but those of heifers on the fertilized pasture were significantly lower in May and August. The endogenous faecal excretion of P was related to P intake but more closely to dry matter intake and plasma inorganic P together. The reasons for the difference between observed P intakes of LP heifers and recommended requirements are discussed in relation to the assessment of P requirements of grazing cattle. The results from this experiment suggest that recommended P requirements are higher than necessary to sustain the measured liveweight gains of cattle on grass/legume pastures in the tropics.


2018 ◽  
Vol 11 (1) ◽  
pp. 131-137
Author(s):  
M.M. Getso ◽  
M.S. Sallau ◽  
S.E. Abechi ◽  
S Uba

Field experiment was conducted at Research Farm of Kano University of Science and Technology, Wudil, to determine the effects of organic fertilizer on the nutritional status of Hibiscus sabdariffa (Roselle). The results obtained indicated the manure fertilizer to be higher in protein (20.910%) and crude fiber contents (12.047%), Zn (30.689mg/kg) and Cu (18.571mg/kg) concentrations, no Pb was detected at all. However, the difference that exists amongst the fertilizers (T2 and T3) and poultry manure (T1) was found to be insignificant in so many parameters. Therefore, the study work with regard to the findings revealed that organic fertilizer (poultry manure) had the potential over the inorganic fertilizers for the dietary nutrients yielding in vegetables Hibiscus sabdariffa. However, the information will economically favor our local farmers and users to adapt the cheapest poultry manure for the optimum yield of qualitative produce vegetable as prospective against malnutrition in Nigeria especially North East where endemically affected by war.Keywords: Roselle leaves, vegetative stage, proximate analysis, elements, Kano


2013 ◽  
Vol 15 (3) ◽  
pp. 408-420 ◽  

<p>This study investigates the thermal and bioclimatic conditions in Erzurum plain and the nearby Palandoken Mountains. The data was obtained from Erzurum Meteorological Station (1758 m) and Palandoken Mountains Meteorological Station (2973 m) for 2009 and 2010 in order to compute physiologically equivalent temperatures (PET). The results indicated that the average annual PET value for Erzurum was -0.3 &ordm;C while the corresponding value was -6.4 &ordm;C for the Palandoken Mountains. The difference between the two locations was 6.3 &ordm;C for 2009 and 5.9 &ordm;C for 2010. During the summer months of 2009, the PET difference was 7.4 &ordm;C while the corresponding difference was 6.4 &ordm;C for 2010. During the winter months of 2009, the PET difference was 3.1 &ordm;C while the corresponding difference was 3.7 &ordm;C for 2010. It was determined that the 1179 m elevation difference between the two stations resulted in PET declines of 0.5 &ordm;C for each 100 m. It was also observed that during days when the temperature is extremely low, due to the movement of cold spots to lower elevations, the PET values in Erzurum were observed to be lower than the ones in Palandoken mountains that are located only 13.5 km north-east of the city.</p>


2020 ◽  
Vol 13 (8) ◽  
pp. 4461-4477 ◽  
Author(s):  
Patrick Chazette

Abstract. An unprecedented scientific flight was conducted over the Strait of Gibraltar to study the optical properties of the atmospheric aerosols from the sea surface to the lower free troposphere within the framework of the southern Spain experiment for spaceborne mission validation (SUSIE). A Rayleigh–Mie lidar was installed on an ultralight aircraft (ULA) for vertical (nadir) and horizontal line-of-sight measurements. This experiment took place on 13 August 2011 in parallel with continuous observations with a N2-Raman lidar from the coastal site of San Pedro Alcantara (∼ 50 km north-east of Gibraltar). Significant differences were observed between the optical properties of the aerosol layers sampled over the Strait of Gibraltar and San Pedro Alcantara. These differences are related to the surface–atmosphere interface in the planetary boundary layer and the origins and transport processes in the lower free troposphere. A significant contribution of terrigenous aerosols originating from the Iberian Peninsula is highlighted over the two areas. These polluted dusts are identified with lidar ratios (LRs) ∼45±8 sr higher than those of Saharan aerosols sampled during the same period (<34 sr) at 355 nm. Furthermore, the particle depolarization ratio is derived with values of ∼ 10 %–15 % for the polluted dust and >20 % for the Saharan dusts. The difference in LRs is the opposite of what is usually assumed for these two types of aerosols and highlights the need to update the classification of aerosols in terms of LR to be used in the inversion of vertical profiles from future spaceborne missions embedding a lidar operating at 355 nm.


1987 ◽  
Vol 82 (2) ◽  
pp. 253-258 ◽  
Author(s):  
Ana Maria Coimbra Gaspar ◽  
Clara Fumiko Tachibana Yoshida

HBsAg positive serum samples (896) from five brazilian regions were analysed for HBsAg subtypes. The presence of five different subtypes (ayw2, ayw3, ayw4, adw2 and adw4) was detected. In Northern region subtypes adw4 (41.2%) and adw2 (37.2%) were predominant. In the North East only subtype adw2 was encountered. In Central West, South-East and South, subtypes ayw2, ayw3, adw2 and adw4 were present, with predominance of adw2 in Central West and South East (84.3% and 69.4% respectively) whereas in the South the predominant subtype was ayw3 (41.9%) followed by ayw2 (36.4%). Subtypes ayw1, ayr and adr were not found among the samples studied. These results show the difference in the incidence of HBsAg subtypes in the different regions of Brazil and their significance in relation to the colonization and migrations in this country.


1922 ◽  
Vol 59 (4) ◽  
pp. 156-166 ◽  
Author(s):  
F. L. Kitchin ◽  
J. Pringle

During the years 1918–19 we investigated the relations of the beds exposed in a remarkable section at Shenley Hill, north of Leighton Buzzard. Our conclusion that lenticles of limestone of basal varians-age are there overlain by a mass of Upper Gault showing an inverted order of zones provided an interesting glacial problem. This seemed to us of less importance, however, than the discovery that these transported masses had been deposited upon a, floor formed by a basement-bed of transgressive Upper Gault, which there rests immediately upon the local top of the Lower Greensand. The chief interest attaching to this example of glacial disturbance lay in the resulting disposition of particular beds in anomalous zonal relationships. Other striking instances of the glacial transportation of large masses of rock were known to occur in the tract of country to the north-east of this locality. The difference was chiefly one of degree, not of kind. We realized that the detection here of an overlap of the Upper Gault might prove to be a matter of greater moment, possessing, perhaps, a far-reaching stratigraphical significance. A study of the literature dealing with this formation, coupled with the examination of the Gault at a few localities in other counties where an overlap takes place, convinced us that a fuller investigation of the subject would prove fruitful in results.


2007 ◽  
Vol 58 (11) ◽  
pp. 1059 ◽  
Author(s):  
P. Suriyakup ◽  
A. Polthanee ◽  
K. Pannangpetch ◽  
R. Katawatin ◽  
J. C. Mouret ◽  
...  

One possible management option for farmers to improve the soil nitrogen (N) supply for rice production is the cultivation of a prior legume. The objective of this study was to investigate the value of such an option in the lowland of the north-east of Thailand. Two experiments were established in 2 typical locations in a split-plot design with 4 replicates. The main plots included 3 nitrogen levels (0, 30, and 60 kg N/ha) and the subplots, 4 pre-rice managements: (i) fallow with weeds removed (FW–); (ii) with weeds incorporated before the rice crop (FW+); (iii) mungbean incorporated at flowering as green manure (MGM); or (iv) incorporated after grains harvest (MR+). In both experiments the difference in rice yield between MGM and MR+ was not significant. In Expt 1, in contrast to Expt 2, the rice yield increase due to MR+ was significant and significantly higher than that due to application of 60 kg N/ha. Moreover, significantly higher apparent recovery of N (ANRm, kg N uptake increase/kg N supplied by residues), probably due to the continuous flooding of the soil surface, was achieved in this experiment. The low values of internal efficiency of N (IEN, kg total grains/kg total N uptake), ANRf (Δ kg N uptake/kg N supplied by fertiliser), and of ANUEf (Δ kg grains/kg applied N fertiliser) recorded in the MR+ treatment of Expt 1, suggest that no application of N fertiliser is needed where the soil water conditions allow high recovery of the N supplied by a preceding mungbean crop.


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