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The Insphere of a Tetrahedron

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Applied Mathematics 2020年第7期11卷 601-612页

作者： peter paul klein Computing Center University of Technology Clausthal Clausthal-Zellerfeld Germany

A contiguous derivation of radius and center of the insphere of a general tetrahedron is given. Therefore a linear system is derived. After a transformation of it the calculation of radius and center can be separated from each other. The remaining linear system for the center of the insphere can be solved after discovering the inverse of the corresponding coefficient matrix. This procedure can also be applied in the planar case to determine radius and center of the incircle of a triangle.

关键词： Corkscrew Rule Hesse Normal Form Decomposed Linear System Block Upper Triangular Form of Coefficient Matrix Cofactor Matrix

On the Intersection Equation of a Hyperboloid and a Plane

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Applied Mathematics 2013年第12期4卷 40-49页

作者： peter paul klein Clausthal University of Technology Clausthal-Zellerfeld Germany

In this note, the ideas employed in [1] to treat the problem of an ellipsoid intersected by a plane are applied to the analogous problem of a hyperboloid being intersected by a plane. The curves of intersection resulting in this case are not only ellipses but rather all types of conics: ellipses, hyperbolas and parabolas. In text books of mathematics usually only cases are treated, where the planes of intersection are parallel to the coordinate planes. Here the general case is illustrated with intersecting planes which are not necessarily parallel to the coordinate planes.

关键词： Hyperboloid Intersection Equation of Hyperboloid and Plane

On the Ellipsoid and Plane Intersection Equation

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Applied Mathematics 2012年第11期3卷 1634-1640页

作者： peter paul klein Computing Center University of Technology Clausthal Clausthal-Zellerfeld Germany

It is well known that the line of intersection of an ellipsoid and a plane is an ellipse. In this note simple formulas for the semi-axes and the center of the ellipse are given, involving only the semi-axes of the ellipsoid, the componentes of the unit normal vector of the plane and the distance of the plane from the center of coordinates. This topic is relatively common to study, but, as indicated in [1], a closed form solution to the general problem is actually very difficult to derive. This is attemped here. As applications problems are treated, which were posed in the internet [1,2], pertaining to satellite orbits in space and to planning radio-therapy treatment of eyes.

关键词： Ellipsoid and Plane Intersection Identity of Lagrange Grassmann Expansion Theorem

Quantifying source-sink relationships in leaf-color modified rice genotypes during grain filling

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Journal of Integrative Agriculture 2024年第9期23卷 2923-2940页

作者： Zhenxiang Zhou paul CStruik Junfei Gu peter E.L.van der Putten Zhiqin Wang Jianchang Yang Xinyou Yin Centre for Crop Systems Analysis Department of Plant SciencesWageningen University&ResearchWageningen 6700 AKThe Netherlands College of Agriculture Yangzhou UniversityYangzhou 225009China

Leaf-color modification can affect canopy photosynthesis,with potential effects on rice yield and yield *** source-sink relationships through crop management is often used to improve crop *** study investigated whether and how modifying leaf color alters source-sink relationships and whether current crop cultivation practices remain applicable for leaf-color modified *** collected data of total biomass and nitrogen(N)accumulation in rice genotypes of four genetic backgrounds and their leaf-color modified variants(greener or yellower)were analyzed,using a recently established modelling method to quantify the source-sink(im)balance during grain *** all leaf-color variants,only one yellower-leaf variant showed a higher source capacity than its normal *** was associated with greater post-flowering N-uptake that prolonged the functional leaf-N duration,and this greater post-flowering N-uptake was possible because of reduced pre-flowering N-uptake.A density experiment showed that current management practices(insufficient planting density accompanied by abundant N application)are unsuitable for the yellower-leaf genotype,ultimately limiting its yield ***-color modification affects source-sink relationships by regulating the N trade-off between pre-and post-flowering uptake,as well as N translocation between source and sink *** best exploit leaf-color modification for improving crop productivity,adjustments of crop management practices are required.

关键词： source-sink relationship biomass nitrogen Oryza sativa leaf-color modification

Nonlinear Rydberg exciton-polaritons in Cu2O microcavities

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Light(Science & Applications) 2024年第4期13卷 619-627页

作者： Maxim Makhonin Anthonin Delphan Kok Wee Song paul Walker Tommi Isoniemi peter Claronino Konstantinos Orfanakis Sai Kiran Rajendran Hamid Ohadi Julian Heckötter Marc Assmann Manfred Bayer Alexander Tartakovskii Maurice Skolnick Oleksandr Kyriienko Dmitry Krizhanovskii Department of Physics and Astronomy University of SheffieldSheffield S37RHUK. Department of Physics and Astronomy University of ExeterStocker RoadExeter EX44PYUK. SUPA School of Physics and AstronomyUniversity of St AndrewsSt Andrews KY169SSUK. Fakultät Physik TU DortmundAugust-Schmidt-Straße 444227 DortmundGermany

Rydberg excitons(analogues of Rydberg atoms in condensed matter systems)are highly excited bound electron-hole states with large Bohr *** interaction between them as well as exciton coupling to light may lead to strong optical nonlinearity,with applications in sensing and quantum information ***,we achieve strong effective photon–photon interactions(Kerr-like optical nonlinearity)via the Rydberg blockade phenomenon and the hybridisation of excitons and photons forming polaritons in a Cu2O-filled *** pulsed resonant excitation polariton resonance frequencies are renormalised due to the reduction of the photon-exciton coupling with increasing exciton *** analysis shows that the Rydberg blockade plays a major role in the experimentally observed scaling of the polariton nonlinearity coefficient as∝n4.4±1.8 for principal quantum numbers up to n=*** high principal quantum numbers studied in a polariton system for the first time are essential for realisation of high Rydberg optical nonlinearities,which paves the way towards quantum optical applications and fundamental studies of strongly correlated photonic(polaritonic)states in a solid state system.

关键词： density Rydberg polar

Blood metal concentrations and cardiac structure and function in total joint arthroplasty patients

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World Journal of Orthopedics 2024年第8期15卷 773-782页

作者： peter C Brennan Stephanie M peterson Thomas J O'Byrne Mariana L Laporta Cody C Wyles paul J Jannetto Garvan C Kane Maria Vassilaki Hilal Maradit Kremers Department of Orthopedic Surgery Mayo ClinicRochesterMN 55905United States Department of Quantitative Health Sciences Mayo ClinicRochesterMN 55905United States Department of Anesthesiology and Perioperative Medicine Mayo ClinicRochesterMN 55905United States Department of Laboratory Medicine and Pathology Mayo ClinicRochesterMN 55905United States Department of Cardiovascular Diseases Mayo ClinicRochesterMN 55905United States

BACKGROUND There is concern regarding potential long-term cardiotoxicity with systemic distribution of metals in total joint arthroplasty(TJA)*** To determine the association of commonly used implant metals with echocardiographic measures in TJA *** The study comprised 110 TJA patients who had a recent history of high chromium,cobalt or titanium *** underwent two-dimensional,three-dimensional,Doppler and speckle-strain transthoracic echocardiography and a blood draw to measure metal *** and sex-adjusted linear and logistic regression models were used to examine the association of metal concentrations(exposure)with echocardiographic measures(outcome).RESULTS Higher cobalt concentrations were associated with increased left ventricular end-diastolic volume(estimate 5.09;95%CI:0.02-10.17)as well as left atrial and right ventricular dilation,particularly in men but no changes in cardiac *** titanium concentrations were associated with a reduction in left ventricle global longitudinal strain(estimate 0.38;95%CI:0.70 to 0.06)and cardiac index(estimate 0.08;95%CI,-0.15 to-0.01).CONCLUSION Elevated cobalt and titanium concentrations may be associated with structural and functional cardiac changes in some *** studies are warranted to better understand the systemic effects of metals in TJA patients.

关键词： Total joint arthroplasty Metal-on-metal Cardiotoxicity Heart failure Echocardiography Cobalt

Sedation reversal trends at outpatient ambulatory endoscopic center vs in-hospital ambulatory procedure center using a triage protocol

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World Journal of Gastrointestinal Endoscopy 2024年第7期16卷 413-423页

作者： Saqib Walayat peter Stadmeyer Azfar Hameed Minahil Sarfaraz paul Estrada Mark Benson Anurag Soni Patrick Pfau paul Hayes Brittney Kile Toni Cruz Deepak Gopal Department of Gastroenterology University of IllinoisPeoriaIL 61605United States Department of Gastroenterology University of WisconsinMadisonWI 53792United States Department of Internal Medicine Texas Health DentonDentonTX 76201United States Department of Internal Medicine Allama Iqbal Medical CollegeLahore 042Pakistan Department of Gastroenterology Texas Tech University Health Services CenterEl PasoTX 79911United States Department of Gastroenterology and Hepatology University of WisconsinMadisonWI 53705United States Finance Business Partners UW Health University of WisconsinMadisonWI 53792United States UW Health Digestive Health Center Endoscopy University of WisconsinMadisonWI 53792United States Division of Gastroenterology and Hepatology Department of MedicineUniversity of Wisconsin Hospitals and ClinicsMadisonWI 53705United States

BACKGROUND Routine outpatient endoscopy is performed across a variety of outpatient settings.A known risk of performing endoscopy under moderate sedation is the potential for over-sedation,requiring the use of reversal *** needs to be reported on rates of reversal across different outpatient *** academic tertiary care center utilizes a triage tool that directs higher-risk patients to the in-hospital ambulatory procedure center(APC)for their ***,we report data on outpatient sedation reversal rates for endoscopy performed at an inhospital APC vs at a free-standing ambulatory endoscopy digestive health center(AEC-DHC)following risk stratification with a triage *** To observe the effect of risk stratification using a triage tool on patient outcomes,primarily sedation reversal *** We observed all outpatient endoscopy procedures performed at AEC-DHC and APC from April 2013 to September *** were stratified to their respective sites using a triage *** evaluated each procedure for which sedation reversal with flumazenil and naloxone was *** and characteristics recorded include patient age,gender,body mass index(BMI),American Society of Anesthesiologists(ASA)classification,procedure type,and reason for sedation *** There were 97366 endoscopic procedures performed at AEC-DHC and 22494 at the APC during the study *** these,17 patients at AEC-DHC and 9 at the APC underwent sedation reversals(0.017%vs 0.04%;P=0.06).Demographics recorded for those requiring reversal at AEC-DHC vs APC included mean age(53.5±21 vs 60.4±17.42 years;P=0.23),ASA class(1.66±0.48 vs 2.22±0.83;P=0.20),BMI(27.7±6.7 kg/m^(2) vs 23.7±4.03 kg/m^(2);P=0.06),and female gender(64.7%vs 22%;P=0.04).The mean doses of sedative agents and reversal drugs used at AEC-DHC vs APC were midazolam(5.9±1.7 mg vs 8.9±3.5 mg;P=0.01),fentanyl(147.1±49.9μg vs 188.9±74.1μg;P=0.10),flumazenil(0.3±0.18μg vs 0.17±0.17μg;P=0.13)and naloxo

关键词： Ambulatory care Conscious sedation Endoscopy Colonoscopy Risk assessment Risk factors

Optimizing laser coupling,matter heating,and particle acceleration from solids using multiplexed ultraintense lasers

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Matter and Radiation at Extremes 2024年第4期9卷 16-28页

作者： Weipeng Yao Motoaki Nakatsutsumi Sébastien Buffechoux Patrizio Antici Marco Borghesi Andrea Ciardi Sophia N.Chen Emmanuel d’Humières Laurent Gremillet Robert Heathcote Vojtech Horny paul McKenna Mark N.Quinn Lorenzo Romagnani Ryan Royle Gianluca Sarri Yasuhiko Sentoku Hans-peter Schlenvoigt Toma Toncian Olivier Tresca Laura Vassura Oswald Willi Julien Fuchs LULI-CNRS CEASorbonne UniversitéEcole PolytechniqueInstitut Polytechnique de ParisF-91128 Palaiseau CedexFrance Sorbonne Université Observatoire de ParisUniversité PSLCNRSLERMAF-75005 ParisFrance INRS-EMT 1650 BoulLionel-BouletVarennesQuebec J3X 1S2Canada Center for Plasma Physics School of Mathematics and PhysicsQueen’s University BelfastBelfast BT71NNUnited Kingdom “Horia Hulubei”National Institute for Physics and Nuclear Engineering 30 Reactorului StreetRO-077125 Bucharest-MagureleRomania University of Bordeaux Centre Lasers Intenses et ApplicationsCNRSCEAUMR 5107F-33405 TalenceFrance CEA DAMDIFF-91297 ArpajonFrance Université Paris-Saclay CEALMCE91680 Bruyères-le-ChatelFrance Central Laser Facility STFC Rutherford Appleton LaboratoryDidcotUnited Kingdom SUPA Department of PhysicsUniversity of StrathclydeGlasgow G40NGUnited Kingdom Department of Physics University of NevadaRenoNevada 89557USA Institute of Laser Engineering Osaka University2-6 YamadaokaSuitaOsaka 565-0871Japan Institut fur Laser und Plasmaphysik Heinrich Heine Universitat DusseldorfDusseldorfGermany

Realizing the full potential of ultrahigh-intensity lasers for particle and radiation generation will require multi-beam arrangements due to technology ***,we investigate how to optimize their coupling with solid ***,we show that overlapping two intense lasers in a mirror-like configuration onto a solid with a large preplasma can greatly improve the generation of hot electrons at the target front and ion acceleration at the target *** underlying mechanisms are analyzed through multidimensional particle-in-cell simulations,revealing that the self-induced magnetic fields driven by the two laser beams at the target front are susceptible to reconnection,which is one possible mechanism to boost electron *** addition,the resistive magnetic field generated during the transport of the hot electrons in the target bulk tends to improve their *** simulations also indicate that such effects can be further enhanced by overlapping more than two laser beams.

关键词： laser acceleration particle

Adaptation in brain structure and respiratory and olfactory structures across environmental gradients in African and North American muroid rodents

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Integrative Zoology 2024年第1期19卷 165-181页

作者： peter J.TAYLOR Aluwani NENGOVHELA Christiane DENYS Graham R.SCOTT Catherine M.IVY Department of Zoology School of Natural and Mathematical SciencesUniversity of VendaThohoyandouSouth Africa Afromontane Unit Department of Zoology and EntomologyUniversity of the Free StatePhuthaditjhabaSouth Africa Department of Mammalogy National MuseumBloemfonteinSouth Africa Institut de Systématique EvolutionBiodiversité(ISYEB)Muséum National d’Histoire NaturelleCNRSSorbonne UniversitéEPHEUniversitéDes AntillesParisFrance Department of Biology McMaster UniversityHamiltonOntarioCanada Guglielmo and Shoemaker Labs Advanced Facility for Avian ResearchUniversity of Western OntarioLondonOntarioCanada

Morphometric studies of 3D micro CT-scanned images can provide insights into the evolution of the brain and sensory structures but such data are still scarce for the most diverse mammalian order of *** reviewed and new data,we tested for convergence to extreme aridity and high elevation in the sensory and brain morphology of rodents,from morphometric data from micro-CT X-ray scans of 174 crania of 16 species of three distantly re-lated African murid(soft-furred mice,Praomyini,laminate-toothed rats,Otomyini,and gerbils,Gerbillinae)clades and one North American cricetid(deer mice and white-footed mice,Peromyscus)*** studies demon-strated convergent evolution acting on the oval window area of the cochlea(enlarged in extremely arid-adapted species of Otomyini and Gerbillinae)and on endocranial volume(reduced in high elevation taxa of Otomyini and Peromyscus).However,contrary to our predictions,we did notfind evidence of convergence in brain struc-ture to aridity,or in the olfactory/respiratory system(turbinate bones)to high *** structure differed,particularly in the petrosal lobules of the cerebellum and the olfactory bulbs,between Otomyini and Gerbillinae,with extreme arid-adapted species in each clade being highly divergent(not convergent)from other species in the same *** observed greater“packing”of the maxillary turbinate bones,which have important respiratory functions,in Peromyscus mice from high and low elevations compared to the high-elevation African Praomyini,but more complex patterns within Peromyscus,probably related to trade-offs in respiratory physiology and heat exchange in the nasal epithelium associated with high-elevation adaptation.

关键词： 3D morphometrics Africa brain size North America Rodentia sensory evolution