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Matematisk statistik Tentamen: 2024–11–01 kl 0800–1300 Matematikcentrum FMSF40 Lunds universitet Sannolikhetsteori och diskret matematik • Till̊atna hjälpmedel: Miniräknare samt utdelad formelsamling (häftad med tentamen). • Tentamen best̊ar av 10 uppgifter om 0.6 poäng vardera, med delpoäng om minst 0.1 poäng. • Betygsgränser: Betyg 3 (godkänt): 3.0 poäng. Betyg 4: 4.0 poäng. Betyg 5: 5

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Sannolikhetsteori_och_diskret_matematik/Tentor/fmsf40_tenta_241101.pdf - 2026-07-11

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A portable high resolution soft x-ray and extreme ultraviolet (EUV) spectrometer has been developed for spectroscopic research at the Shanghai Electron Beam Ion Trap (EBIT) laboratory. A unique way of aligning the grazing incidence spectrometer using the zero order of the grating is introduced. This method is realized by extending the range of the movement of the CCD detector to cover the zero ord

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Genome sequencing can identify individuals in the general population who harbor rare coding variants in genes for Mendelian disorders1-7 and who may consequently have increased disease risk. Previous studies of rare variants in phenotypically extreme individuals display ascertainment bias and may demonstrate inflated effect-size estimates8-12. We sequenced seven genes for maturity-onset diabetes o

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The electron-ion scattering experiment ELISe is part of the installations envisaged at the new experimental storage ring at the International Facility for Antiproton and Ion Research (FAIR) in Darmstadt, Germany. It offers an unique opportunity to use electrons as probe in investigations of the structure of exotic nuclei. The conceptual design and the scientific challenges of ELISe are presented.

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A double conformationally restricted kinetically labile supramolecular catalytic system, the third generation, was designed and synthesized. We investigated the substrate selectivity of this system by performing competitive pairwise epoxidations of pyridyl-and phenyl-appended olefins. We compared the obtained substrate selectivities to previous less preorganized generations of this system. Five di

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Doubly excited core-hole states of carbon monoxide in the photon energy region of 300-305 eV, i.e., directly above the C 1s ionization threshold, have been studied using both angle-resolved ion-yield and high-resolution resonant Auger spectroscopies. The leading configurations of the most prominent doubly excited Rydberg states are assigned by careful analysis of the ion-yield spectra and the fina

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The application of scanning electron microscopy (SEM) and secondary ion mass spectrometry (SIMS) for characterization of mixed plutonium and uranium particles from nuclear weapons material is presented. The particles originated from the so-called Thule accident in Greenland in 1968. Morphological properties have been studied by SEM and two groups were identified: a “popcorn” structure and a spongy

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The stellar initial mass function at high redshift is an important defining property of the first stellar systems to form and may also play a role in various dark matter problems. We here determine the faint stellar luminosity function in an apparently dark-matter-dominated external galaxy in which the stars formed at high redshift. The Ursa Minor dwarf spheroidal galaxy is a system with a particu

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There still is a need for devices that allow reproducible stimulation of skin areas of the human body. We constructed a stimulation system and tested it by using brief pneumatic stimulation to the right thumb of nine healthy volunteers. BOLD-signals in response to tactile stimulation with frequencies of 1, 3 and 5 Hz were measured using a 3T MRI scanner. The stimulation device consists of syntheti

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Background: In European countries, knowledge about availability and utilization of support for informal caregivers caring for older persons (>= 65 years) with dementia (PwD) is lacking. To be able to evaluate and develop the dementia support system for informal caregivers to PwD, a survey of European support systems and professionals involved is needed. The aim of this study was to explore support

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Background. In SBRT of lung tumours no established relationship between dose-volume parameters and the incidence of lung toxicity is found. The aim of this study is to compare the LQ model and the universal survival curve (USC) to calculate biologically equivalent doses in SBRT to see if this will improve knowledge on this relationship. Material and methods. Toxicity data on radiation pneumonitis

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BACKGROUND: The association of early knee joint laxity with the need for later reconstruction of the anterior cruciate ligament has not been extensively studied. HYPOTHESIS: The grade of knee laxity can be used as an early predictor of the need for later reconstruction. STUDY DESIGN: Cohort study (prognosis); Level of evidence, 2. METHODS: One hundred consecutive patients with an acute arthroscopi

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The widespread use of artificial nestboxes has led to significant advances in our knowledge of the ecology, behaviour and physiology of cavity nesting birds, especially small passerines Nestboxes have made it easier to perform routine monitoring and experimental manipulation of eggs or nestlings, and also repeatedly to capture, identify and manipulate the parents However, when comparing results ac

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The aim of this qualitative study was to explore older persons' (n = 28, 75-96 years of age) experience of becoming in need of public home help, their experience of participation and of having influence on the needs assessment procedure and the decisions made about public home help. A content analysis revealed a broad overarching category, labelled: experiencing discontinuity in life as a whole -

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This article explores to what extent married middle-aged individuals in Europe are governed by the risk of experiencing divorce, when shaping their physical appearance. The main result is that divorce risks, proxied by national divorce rates, are negatively connected to body mass index (BMI) among married individuals but unrelated to BMI among singles. Hence, it seems that married people in societ

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The neurohypophysial peptide arginine vasotocin, and its mammalian ortholog arginine vasopressin, influence a wide range of physiological and behavioral responses, including aspects of sexual and social behaviors, osmoregulation, stress response, metabolism, blood pressure, and circadian rhythms. Here, we demonstrate that, in zebrafish (Danio rerio), the vasotocin precursor gene arginine vasotocin