Livros sobre o tema "Index of a singular point"

The volume contains the commented edition of the Devisement dou monde based on the Berlin Staatsbibliothek - Preußischer Kulturbesitz Codex, Hamilton 424. The Hamilton 424 Codex, transcribed in Venice in the second half of the fifteenth century, contains the translation of a Latin model (whose features can be partially reconstructed virtually starting from some translation errors) and is the only known witness of V. Due to its characteristics, V represents a crucial point in the definition of the transmission dynamics of Polo’s book: its readings are confirmed, often in a broader form, by the Latin version known as Z. V strengthens the hypothesis that, after returning to Venice, Marco Polo modified the text written with Rustichello da Pisa in Genoa. Actually, version V represents the first step of this long process of rewriting, which probably occurred in several phases. This volume includes an introduction, the text edition, a textual commentary, as well as an index. A second and forthcoming volume will contain the linguistic analysis and glossary.

From the point of view of the new science of globalism, the problems of the ecological, socio-economic state of the world and countries are considered through the prism of the interaction of the human psyche and society and the inhabited world. The criteria of ecological civilization of countries and peoples are justified. Optimizing the consumption of natural bio-and energy resources is becoming a fundamental environmental factor for sustainable development. The "Law of the maximum for humanity" as the law of the biosphere can be the arbitration court, the neutral force that will explain the historical need for mutual understanding, taking into account the interests of ecology and economy for the survival of man as a biovid on Earth; a new reality will begin to form — the phenomenon of co-residence of the world society with the biosphere. The world's population, its energy and bio-consumption, as well as all living matter on the planet, must correspond to the biological capacity of the Earth and not go beyond its boundaries. The task of the society is to implement a worldview breakthrough at the current stage of development, its own cultural mutation, which in the future will create the basis for adaptive technological and socio-cultural development. The task is to classify the entire Earth as a "Green Book" and to solve systemic environmental problems of a global nature. An integral part of sustainable development should be the principle of "vital consumption" at both the personal and social level, instead of the dominant principle of"expanded production and consumption". The indicator of the" culture of consumption "of natural resources, both at the individual level and at the level of society, should be included as an integral part of the integral indicator in the "True Indicator of Progress" and the "Human Development Index". The book is interdisciplinary in nature; it is a kind of scientific and philosophical poetic essay intended for teachers and students of universities in the field of sociology, ecology, biology and related fields, as well as for everyone who cares about the future of society.

This edited book will make an important, timely, and innovative contribution to the now flourishing academic discipline of political leadership studies. We have developed a conceptual framework of leadership capital and a diagnostic tool—the Leadership Capital Index (LCI)—to measure and evaluate the fluctuating nature of leadership capital. Differing amounts of leadership capital, a combination of skills, relations, and reputation, allow leaders to succeed or fail. This book brings together leading international scholars to engage with the concept of “leadership capital” and apply the LCI to a variety of comparative case studies. The LCI offers a comprehensive yet parsimonious and easily applicable ten-point matrix to examine leadership authority over time and in different political contexts. In each case, leaders “spend” and put their “stock” of authority and support at risk. United States president, Lyndon Johnson, arm-twisting Congress to put into effect civil rights legislation, Tony Blair taking the United Kingdom into the invasion of Iraq, Angela Merkel committing Germany to a generous reception of refugees: all ‘spent capital’ to forge public policy they believed in. We are interested in how office-holders acquire, consolidate, risk, and lose such capital. This volume concentrates predominantly on elected ‘chief executives’ at the national level, including majoritarian and consensus systems, multiple and singular cases. We also consider some presidential and sub-national cases. The purpose of the exercise is indeed exploratory: the chapters are a series of plausibility probes, to see how the LCI framework ‘performs’ as a descriptive and analytical tool.

This chapter shows that if Ξ‎ is an affine building and Γ‎ is a finite descent group of Ξ‎, then Γ‎ is a descent group of Ξ‎∞ and (Ξ‎∞) is congruent to (Ξ‎∞). Ξ‎Γ‎ and Ξ‎ can be viewed as metric spaces. The chapter first considers the assumptions that Π‎ is an irreducible affine Coxeter diagram, Ξ‎ is a thick building of type Ξ‎, Γ‎is a finite descent group of Ξ‎, and Tits index �� = (Π‎, Θ‎, A). It then describes apartments that are endowed with reflection hyperplanes and reflection half-spaces before concluding with a theorem about a canonical isomorphism from the fixed point building Ξ‎Γ‎ to (Ξ‎Γ‎).

This chapter explores the contacts and conflict between novelistic point of view and the practice of cinematic spectatorship. It focuses on H. D.’s singular contributions to the film journal Close Up (1927–1933). This film criticism was an important context for developing the forms of prose experimentation that would occupy her during the early 1930s. In detaching vision from a presumed subject, H. D. found that film asks its viewers not only to see but to translate encrypted “abstract . . . remote . . . symbolical” meanings from the “raw-picked” images that pass across the screen. This literary appropriation of spectatorship would come to structure her contemporaneous work, The Usual Star. This novel exemplifies the formal ambition of H. D.’s prose innovations, suggesting an alternate history of the modernist novel in which the totemic value of point of view had been dislodged.

This chapter argues that Muybridge’s photographs of human and animal locomotion underwrite a pace for modernism that negotiates the iterative terms of the instant and the series, constructing an account of time that pivots on the accumulation of separated fragments. The chapter brings the form of instantaneous photography to bear on James Joyce’s exploration of sequentiality and pace in Ulysses. The many walks in Joyce’s novel are photographic (what he calls a “discrete succession of images”), and their singular strides point to Charlie Chaplin, the modernist paragon of the jerky walk. Chaplin’s walk is both a cinematic signature and an insistence on photography—more specifically, an insistence on imitating Muybridge’s studies of motion. By making static awkwardness a condition of time and of walking, Joyce’s novel and Chaplin’s mechanized body each read as a product of film yet hold continuity and the cinema at bay by their stilled paces.

Edwin Abbott’s Flatland dramatizes the implications of dethroning what Victorians regarded as the preeminent representational system: Euclidean geometry. The displacement of the singular Euclidean account of space with a multiplicity of non-referential spatial regimes did more than introduce the possibility of varying perspectives on the world; the challenge to the “sacredness” of Euclid met with resistance partly because it suggested the ideal of a transparent representational system was inherently untenable. Flatland explores the repercussions of this problem for the novel, shifting emphasis from the revelation of the content of character to focus on the vagaries of point of view. The characters are Euclidean figures shown the limitations of their constructions of the world, and epistemic certainty is unavailable because all representational systems are contingent. Abbott finds consolation for this loss of certainty in the formalist, aesthetic character of projective geometry, insisting on the beauty of signs in and of themselves.

This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of the variety. Including notions from other areas, e.g., singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs and exercises are provided. The final chapter summarizes recent research directions, such as connections to orbifolds and the representation theory of finite groups via the McKay correspondence, stability conditions on triangulated categories, and the notion of the derived category of sheaves twisted by a gerbe.

The process of individuation has an end. The passage from disjunctive diversity to the unity of a new entity embodied by the subject has a conclusion, namely, the effective realisation of the entity, its full actualisation. This end point of individuation is reached following the determination of every positive and negative prehension of the entity, that is, when all of its relations with other entities have been established. It is, then, fully a perspective, a being-situated in the universe, a junction between and a unity of everything that exists. It attains, in its final state of concrescence, what Whitehead calls ‘satisfaction’. This ‘satisfaction’ is not a common end, identifiable with all the others, as if there were a pre-existing finality in individuation that would be actualised in a particular manner. It is ‘a generic term: there are specific differences between the “satisfactions” of different entities, including gradations of intensity’ (PR, 84). In the same way that every prehension is singular and belongs to the subjective orientation of every actual entity, the end of an entity is specific, it is that end for that entity.

The lexicography of English usage is often discussed as being prescriptive or descriptive, but only rarely is it analysed in terms of how usage writers use language evidence in exploring issues of current and changing usage, and whether their methodology is empirical or otherwise. This chapter discusses two twenty-first-century approaches to the use of evidence in usage writing: the selective, a priori use of citations by Bryan Garner to support his ‘Language Change Index’ in Modern American Usage (3rd edn, 2009); and the wealth of data contained in the GloWbE corpus (2012) and others created by Mark Davies, available to quantify usage trends worldwide. Corpus evidence on the assimilation of Latin borrowings, e.g. use of data in singular agreement, shows this is relatively less advanced in the US than elsewhere, which aligns with its stigmatization in American academic discourse.

The book “In search of explanations about African words: an investigation in some Brazilian dictionaries and / or glossaries (1889-2006)” raises controversial and relevant questions about the usefulness of Africanism for Brazil and the delimitation between Afro-Brazilian and africanists studies. The work is one of the results of the work that the author has been developing throughout his long and rich academic life. The author shows enthusiasm for the study of Brazilian Africanism, especially in what concerns on the relationships that are established between words and culture.It shows the participation of African languages in the constitution of the Brazilian Portuguese lexicon, since it considers that studies in this area have been taking place very slowly. Therefore, this work intends to promote the production of future researches that discuss about the social place of African words in Brazilian Portuguese. It makes a point of which we should have no doubt in affirming - unequivocally and systematically - that one can speak of Brazilian Africanism. It takes as a starting point the analysis of dictionaries and glossaries (1889-2006), while taking a retrospective look.It reflects, with such observation, about what is classified as Africanism in the Brazilian Portuguese lexicon. It suggests the need to draw a line between Afro-Brazilian and Africanists studies. Finally, it is expected that such a work can bring new look and perspectives. It is even verified that, in his text, there is a lot of work for everyone. That´s why this work in this book is considered by the author as a singular value.

This volume combines philosophical analysis with normative legal theory. Although both disciplines have spent the past fifty years investigating the nature of the principles of necessity and proportionality, these discussions were all too often walled off from each other. However, the boundaries of these disciplinary conversations have recently broken down, and this volume continues the cross-disciplinary effort by bringing together philosophers concerned with the real-world military implications of their theories and legal scholars who frequently build doctrinal arguments from first principles, many of which herald from the historical just war tradition or from the contemporary just war literature. What unites the chapters into a singular conversation is their common skepticism regarding whether the traditional doctrines, in both law and philosophy, have correctly valued the lives of civilians and combatants at war. The arguments outlined in this volume reveal a set of principles, including necessity and proportionality, whose core essence remains essentially contested. What does military necessity mean and are soldiers always subject to lethal force? What is proportionality and how should military commanders attach a value to a military target and weigh it against collateral damage? Do these valuations remain the same for both sides of the conflict? From the secure viewpoint of the purely descriptive, lawyers might confidently describe some of these questions as settled. But many others, even from the vantage point of descriptive theory, remain under-analyzed and radically lacking in clarity and certainty.

This chapter deals with forms of residually pseudo-split buildings. The proof rests on the fact that in every case, there is a Galois action of Γ‎ := GalL/K on Δ‎L whose fixed point building is isomorphic to Δ‎. A Tits index = (Π‎, Θ‎, A) is displayed by drawing the Coxeter diagram, bending edges where necessary so that vertices in the same Θ‎-orbit are conspicuously near to each other, and putting a circle around the set of vertices in each orbit of Θ‎ disjoint from A. The chapter presents the main result showing that every exceptional Bruhat-Tits building of rank at least 3 but not of type G˜2 with Tilde₂ is the fixed point building of an unramified group of order 2 or 4 acting on a residually pseudo-split building.

Over 6,000 entries This best-selling dictionary covers all aspects of zoology, including terms from ecology, animal behaviour, evolution, earth history, zoogeography, genetics, and physiology. It provides taxonomic coverage of arthropods, other invertebrates, fish, reptiles, amphibians, birds, and mammals, all fully updated to include recent changes. Detailed and authoritative, it has been fully updated for the fifth edition with over 700 entries covering taxonomic groups, prefixes, and widely used descriptive terms. All taxonomies have been checked to accommodate recent changes. Recommended web links point to additional resources and appendices include an index of common names, a taxonomic classification, a classification of endangered animals, and a geologic timescale.

This book begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. It then puts forward an algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving necessary and sufficient conditions for the residues fixed by a group to form a kind of subbuilding or “form” of the original building. At the center of this theory is the notion of a Tits index, a combinatorial version of the notion of an index in the relative theory of algebraic groups. These results are combined at the end to show that every exceptional Bruhat-Tits building arises as a form of a “residually pseudo-split” building. The book concludes with a display of the Tits indices associated with each of these exceptional forms. This is the third and final volume of a trilogy that began with The Structure of Spherical Buildings and The Structure of Affine Buildings.

This introductory chapter sets out the conceptual and methodological rationale for the book. The chapter reviews the field and places this new approach within the context of current leadership research. The Leadership Capital Index (LCI) builds on advances in understanding of how to track and assess political leadership. It offers the concept of “leadership capital,” as an aggregate of authority that reaches across the traditional divide between structure and agency through a flexible analytical tool. The LCI offers a comprehensive yet parsimonious and easily applicable ten-point matrix to examine leadership authority over time and in different political contexts. The chapter sets out how this tool is utilized in the examination of the eleven-country case studies to better understand and explain the “puzzles” of contemporary political leadership.

Acute cyanide poisoning poses vital diagnostic and therapeutic challenges for emergency physicians and intensivists. While it presents certain unique clinical features, cyanide poisoning may be confused with other entities. Definitive, contemporaneous diagnosis at the bedside is impossible in most hospitals. A thorough anamnesis, rapid physical assessment, and evaluation of key laboratory indicators often point the clinician in the right direction. Smoke inhalation from structure fires represents the most frequent source of cyanide poisoning. Symptom onset may be gradual in the case of skin exposures to cyanide or ingestion of compounds that are metabolized to cyanide. However, acute cyanide poisoning presents as a syndrome of rapidly evolving and deteriorating vital signs, profound neurological and cardiovascular dysfunction, and if therapeutic interventions are not timely and adapted, death. There is little time for diagnostic testing: one must act! The sine qua non of treatment is excellent supportive care, with aggressive airway management, support of blood pressure, and correction of acidosis. Treatment of acidosis is particularly relevant in the case of cyanide. Rapid administration of specific cyanide antidotes may be lifesaving. While geographic variations exist in antidote availability, most commercially available antidotes have been demonstrated to be effective. Hydroxocobalamin and sodium thiosulphate, both safe in the setting of smoke inhalation, offer the highest therapeutic index, a critical consideration when the diagnosis is uncertain.

This book presents subjectivity as a theoretical and analytic perspective for studying the intersection of language and political economy. It makes this point by arguing that the way English comes to be valorized as a language of economic opportunity in the context of neoliberalism must be understood with reference to subjectivity—the dimensions of affect, morality, and desire that shape how we, as human beings, understand ourselves as actors in the world. Focusing on South Korea’s ‘English fever’ that took place in the 1990s and 2000s, this book traces how English became an object of heated pursuit amidst the country’s rapid neoliberalization, demonstrating that English gained prominence in this process not because of the language’s supposed economic value, but because of the anxieties, insecurities, and moral desire that neoliberal Korean society inculcated—which led English to be seen as an index of an ideal neoliberal subject who willingly engages in constant self-management and self-development in response to the changing conditions of the global economy. Bringing together ethnographically oriented perspectives on subjectivity, critical analysis of conditions of contemporary capitalism, theories of neoliberal governmentality, and sociolinguistic and linguistic anthropological frameworks of metapragmatic analysis, this book suggests an innovative new direction for research on language and political economy, challenging the field to consider the emotionally charged experiences we have as language users as the key for understanding the place of language in neoliberalism.

Screening involves testing asymptomatic individuals who have risk factors, or individuals who are in the early stages of a disease, in order to decide whether further investigation, clinical intervention, or treatment is warranted. Therefore, screening is classically a primary prevention strategy which aims to capture disease early in its course, but it can also involve secondary prevention in individuals with established disease. In the words of Geoffrey Rose, screening is a ‘population’ strategy. Examples of screening programmes are blood pressure monitoring in primary care to screen for hypertension, and ultrasound examination to screen for abdominal aortic aneurysm. The effectiveness and feasibility of screening are influenced by several factors. First, the diagnostic accuracy of the screening test in question is crucial. For example, exercise ECG testing, although widely used, is not recommended in investigation of chest pain in current National Institute for Health and Care Excellence guidelines, due to its low sensitivity and specificity in the detection of coronary artery disease. Moreover, exercise ECG testing has even lower diagnostic accuracy in asymptomatic patients with coronary artery disease. Second, physical and financial resources influence the decision to screen. For example, the cost and the effectiveness of CT coronary angiography and other new imaging modalities to assess coronary vasculature must be weighed against the cost of existing investigations (e.g. coronary angiography) and the need for new equipment and staff training and recruitment. Finally, the safety of the investigation is an important factor, and patient preferences and physician preferences should be taken into consideration. However, while non-invasive screening examinations are preferable from the point of view of patients and clinicians, sometimes invasive screening tests may be required at a later stage in order to give a definitive diagnosis (e.g. pressure wire studies to measure fractional flow reserve in a coronary artery). The WHO’s principles of screening, first formulated in 1968, are still very relevant today. Decision analysis has led to ‘pathways’ which guide investigation and treatment within screening programmes. There is increasing recognition that there are shared risk factors and shared preventive and treatment strategies for vascular disease, regardless of arterial territory. The concept of ‘vascular medicine’ has gained credence, leading to opportunistic screening in other vascular territories if an individual presents with disease in one territory. For example, post-myocardial infarction patients have higher incidence of cerebrovascular and peripheral arterial disease, so carotid duplex scanning and measurement of the ankle–brachial pressure index may be valid screening approaches for arterial disease in other territories.

Bones are multifunctional passive organs of movement that supports soft tissue and directly attached muscles. They also protect internal organs and are a reserve of calcium, phosphorus and magnesium. Each bone is covered with periosteum, and the adjacent bone surfaces are covered by articular cartilage. Histologically, the bone is an organ composed of many different tissues. The main component is bone tissue (cortical and spongy) composed of a set of bone cells and intercellular substance (mineral and organic), it also contains fat, hematopoietic (bone marrow) and cartilaginous tissue. Bones are a tissue that even in adult life retains the ability to change shape and structure depending on changes in their mechanical and hormonal environment, as well as self-renewal and repair capabilities. This process is called bone turnover. The basic processes of bone turnover are: • bone modeling (incessantly changes in bone shape during individual growth) following resorption and tissue formation at various locations (e.g. bone marrow formation) to increase mass and skeletal morphology. This process occurs in the bones of growing individuals and stops after reaching puberty • bone remodeling (processes involve in maintaining bone tissue by resorbing and replacing old bone tissue with new tissue in the same place, e.g. repairing micro fractures). It is a process involving the removal and internal remodeling of existing bone and is responsible for maintaining tissue mass and architecture of mature bones. Bone turnover is regulated by two types of transformation: • osteoclastogenesis, i.e. formation of cells responsible for bone resorption • osteoblastogenesis, i.e. formation of cells responsible for bone formation (bone matrix synthesis and mineralization) Bone maturity can be defined as the completion of basic structural development and mineralization leading to maximum mass and optimal mechanical strength. The highest rate of increase in pig bone mass is observed in the first twelve weeks after birth. This period of growth is considered crucial for optimizing the growth of the skeleton of pigs, because the degree of bone mineralization in later life stages (adulthood) depends largely on the amount of bone minerals accumulated in the early stages of their growth. The development of the technique allows to determine the condition of the skeletal system (or individual bones) in living animals by methods used in human medicine, or after their slaughter. For in vivo determination of bone properties, Abstract 10 double energy X-ray absorptiometry or computed tomography scanning techniques are used. Both methods allow the quantification of mineral content and bone mineral density. The most important property from a practical point of view is the bone’s bending strength, which is directly determined by the maximum bending force. The most important factors affecting bone strength are: • age (growth period), • gender and the associated hormonal balance, • genotype and modification of genes responsible for bone growth • chemical composition of the body (protein and fat content, and the proportion between these components), • physical activity and related bone load, • nutritional factors: – protein intake influencing synthesis of organic matrix of bone, – content of minerals in the feed (CA, P, Zn, Ca/P, Mg, Mn, Na, Cl, K, Cu ratio) influencing synthesis of the inorganic matrix of bone, – mineral/protein ratio in the diet (Ca/protein, P/protein, Zn/protein) – feed energy concentration, – energy source (content of saturated fatty acids - SFA, content of polyun saturated fatty acids - PUFA, in particular ALA, EPA, DPA, DHA), – feed additives, in particular: enzymes (e.g. phytase releasing of minerals bounded in phytin complexes), probiotics and prebiotics (e.g. inulin improving the function of the digestive tract by increasing absorption of nutrients), – vitamin content that regulate metabolism and biochemical changes occurring in bone tissue (e.g. vitamin D3, B6, C and K). This study was based on the results of research experiments from available literature, and studies on growing pigs carried out at the Kielanowski Institute of Animal Physiology and Nutrition, Polish Academy of Sciences. The tests were performed in total on 300 pigs of Duroc, Pietrain, Puławska breeds, line 990 and hybrids (Great White × Duroc, Great White × Landrace), PIC pigs, slaughtered at different body weight during the growth period from 15 to 130 kg. Bones for biomechanical tests were collected after slaughter from each pig. Their length, mass and volume were determined. Based on these measurements, the specific weight (density, g/cm3) was calculated. Then each bone was cut in the middle of the shaft and the outer and inner diameters were measured both horizontally and vertically. Based on these measurements, the following indicators were calculated: • cortical thickness, • cortical surface, • cortical index. Abstract 11 Bone strength was tested by a three-point bending test. The obtained data enabled the determination of: • bending force (the magnitude of the maximum force at which disintegration and disruption of bone structure occurs), • strength (the amount of maximum force needed to break/crack of bone), • stiffness (quotient of the force acting on the bone and the amount of displacement occurring under the influence of this force). Investigation of changes in physical and biomechanical features of bones during growth was performed on pigs of the synthetic 990 line growing from 15 to 130 kg body weight. The animals were slaughtered successively at a body weight of 15, 30, 40, 50, 70, 90, 110 and 130 kg. After slaughter, the following bones were separated from the right half-carcass: humerus, 3rd and 4th metatarsal bone, femur, tibia and fibula as well as 3rd and 4th metatarsal bone. The features of bones were determined using methods described in the methodology. Describing bone growth with the Gompertz equation, it was found that the earliest slowdown of bone growth curve was observed for metacarpal and metatarsal bones. This means that these bones matured the most quickly. The established data also indicate that the rib is the slowest maturing bone. The femur, humerus, tibia and fibula were between the values of these features for the metatarsal, metacarpal and rib bones. The rate of increase in bone mass and length differed significantly between the examined bones, but in all cases it was lower (coefficient b <1) than the growth rate of the whole body of the animal. The fastest growth rate was estimated for the rib mass (coefficient b = 0.93). Among the long bones, the humerus (coefficient b = 0.81) was characterized by the fastest rate of weight gain, however femur the smallest (coefficient b = 0.71). The lowest rate of bone mass increase was observed in the foot bones, with the metacarpal bones having a slightly higher value of coefficient b than the metatarsal bones (0.67 vs 0.62). The third bone had a lower growth rate than the fourth bone, regardless of whether they were metatarsal or metacarpal. The value of the bending force increased as the animals grew. Regardless of the growth point tested, the highest values were observed for the humerus, tibia and femur, smaller for the metatarsal and metacarpal bone, and the lowest for the fibula and rib. The rate of change in the value of this indicator increased at a similar rate as the body weight changes of the animals in the case of the fibula and the fourth metacarpal bone (b value = 0.98), and more slowly in the case of the metatarsal bone, the third metacarpal bone, and the tibia bone (values of the b ratio 0.81–0.85), and the slowest femur, humerus and rib (value of b = 0.60–0.66). Bone stiffness increased as animals grew. Regardless of the growth point tested, the highest values were observed for the humerus, tibia and femur, smaller for the metatarsal and metacarpal bone, and the lowest for the fibula and rib. Abstract 12 The rate of change in the value of this indicator changed at a faster rate than the increase in weight of pigs in the case of metacarpal and metatarsal bones (coefficient b = 1.01–1.22), slightly slower in the case of fibula (coefficient b = 0.92), definitely slower in the case of the tibia (b = 0.73), ribs (b = 0.66), femur (b = 0.59) and humerus (b = 0.50). Bone strength increased as animals grew. Regardless of the growth point tested, bone strength was as follows femur > tibia > humerus > 4 metacarpal> 3 metacarpal> 3 metatarsal > 4 metatarsal > rib> fibula. The rate of increase in strength of all examined bones was greater than the rate of weight gain of pigs (value of the coefficient b = 2.04–3.26). As the animals grew, the bone density increased. However, the growth rate of this indicator for the majority of bones was slower than the rate of weight gain (the value of the coefficient b ranged from 0.37 – humerus to 0.84 – fibula). The exception was the rib, whose density increased at a similar pace increasing the body weight of animals (value of the coefficient b = 0.97). The study on the influence of the breed and the feeding intensity on bone characteristics (physical and biomechanical) was performed on pigs of the breeds Duroc, Pietrain, and synthetic 990 during a growth period of 15 to 70 kg body weight. Animals were fed ad libitum or dosed system. After slaughter at a body weight of 70 kg, three bones were taken from the right half-carcass: femur, three metatarsal, and three metacarpal and subjected to the determinations described in the methodology. The weight of bones of animals fed aa libitum was significantly lower than in pigs fed restrictively All bones of Duroc breed were significantly heavier and longer than Pietrain and 990 pig bones. The average values of bending force for the examined bones took the following order: III metatarsal bone (63.5 kg) <III metacarpal bone (77.9 kg) <femur (271.5 kg). The feeding system and breed of pigs had no significant effect on the value of this indicator. The average values of the bones strength took the following order: III metatarsal bone (92.6 kg) <III metacarpal (107.2 kg) <femur (353.1 kg). Feeding intensity and breed of animals had no significant effect on the value of this feature of the bones tested. The average bone density took the following order: femur (1.23 g/cm3) <III metatarsal bone (1.26 g/cm3) <III metacarpal bone (1.34 g / cm3). The density of bones of animals fed aa libitum was higher (P<0.01) than in animals fed with a dosing system. The density of examined bones within the breeds took the following order: Pietrain race> line 990> Duroc race. The differences between the “extreme” breeds were: 7.2% (III metatarsal bone), 8.3% (III metacarpal bone), 8.4% (femur). Abstract 13 The average bone stiffness took the following order: III metatarsal bone (35.1 kg/mm) <III metacarpus (41.5 kg/mm) <femur (60.5 kg/mm). This indicator did not differ between the groups of pigs fed at different intensity, except for the metacarpal bone, which was more stiffer in pigs fed aa libitum (P<0.05). The femur of animals fed ad libitum showed a tendency (P<0.09) to be more stiffer and a force of 4.5 kg required for its displacement by 1 mm. Breed differences in stiffness were found for the femur (P <0.05) and III metacarpal bone (P <0.05). For femur, the highest value of this indicator was found in Pietrain pigs (64.5 kg/mm), lower in pigs of 990 line (61.6 kg/mm) and the lowest in Duroc pigs (55.3 kg/mm). In turn, the 3rd metacarpal bone of Duroc and Pietrain pigs had similar stiffness (39.0 and 40.0 kg/mm respectively) and was smaller than that of line 990 pigs (45.4 kg/mm). The thickness of the cortical bone layer took the following order: III metatarsal bone (2.25 mm) <III metacarpal bone (2.41 mm) <femur (5.12 mm). The feeding system did not affect this indicator. Breed differences (P <0.05) for this trait were found only for the femur bone: Duroc (5.42 mm)> line 990 (5.13 mm)> Pietrain (4.81 mm). The cross sectional area of the examined bones was arranged in the following order: III metatarsal bone (84 mm2) <III metacarpal bone (90 mm2) <femur (286 mm2). The feeding system had no effect on the value of this bone trait, with the exception of the femur, which in animals fed the dosing system was 4.7% higher (P<0.05) than in pigs fed ad libitum. Breed differences (P<0.01) in the coross sectional area were found only in femur and III metatarsal bone. The value of this indicator was the highest in Duroc pigs, lower in 990 animals and the lowest in Pietrain pigs. The cortical index of individual bones was in the following order: III metatarsal bone (31.86) <III metacarpal bone (33.86) <femur (44.75). However, its value did not significantly depend on the intensity of feeding or the breed of pigs.