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dynamics

Lagranges own proof will be found under DYNAMIcs, Analytical.

3015The third volume of the Positive Polity treats of social dynamics, and takes us again over the ground of historic evolution.

2724He wrote upon nearly every subject of pure mathematics, and also upon theoretical dynamics and spherical and physical astronomy.

1611He applied this principle to the motion of fluids, and gave a specimen of its application at the end of his Dynamics in 1743.

1516In this chapter, I offer forty-three developments, dynamics, and new realities I believe will work together to bring about an end to war.

1412He applied this principle to the motion of fluids, and gave a specimen of its application at the end of his Dynamics in 1743.

1416But some, especially those on Celestial Dynamics and Organic Motion, are admirable examples of what really valuable work may be effected by a man of high intellectual powers, in spite of imperfect information and defective logic.

1314His treatment of the subject was the first successful attempt to deal with the dynamics of a system.

108During the ensuing two years (1589-1591) he carried on that remarkable series of experiments by which he established the first principles of dynamics and earned the undying hostility of bigoted Aristotelians.

910Meanwhile he was filling his note-books as busily as ever with the results of his studies in statics and dynamics, in human anatomy, geometry and the phenomena of light and shade.

67He made considerable contributions to scientific literature, and among his publications were: An Analytical View of Newton's Principia, with Lord Brougham (1855); an Essay on the Stability of a given State of Motion, which won the Adams' prize in 1877; and treatises on the Dynamics of Rigid Bodies, on Analytical Statics, and on the Dynamics of a Particle.

56He made considerable contributions to scientific literature, and among his publications were: An Analytical View of Newton's Principia, with Lord Brougham (1855); an Essay on the Stability of a given State of Motion, which won the Adams' prize in 1877; and treatises on the Dynamics of Rigid Bodies, on Analytical Statics, and on the Dynamics of a Particle.

56In addition to a large number of publications in the Proceedings of the Royal Society and the Philosophical Magazine, he has published A Treatise on the Motion of Vortex Rings (1884); The Application of Dynamics to Physics and Chemistry (1886); Recent Researches in Electricity and Magnetism (1892); Elements of the Mathematical Theory of Electricity and Magnetism (18 95, 5th ed.

57The complete determination of the result of a collision under given circumstances is not a matter of abstract dynamics alone, but requires some auxiliary assumption.

59ed., Cambridge, 1896), Dynamics of a Particle (Cambridge, 1898), Rigid Dynamics (6th ed., Cambridge 1905); G.

59dynamics of the movement of the shot up the bore, and of the stress set up in the material of the gun, constitutes the branch of interior ballistics.

44The Dynamics of a Particle was written on the occasion of the contest between Gladstone and Mr Gathorne Hardy (afterwards earl of Cranbrook); and The New Belfry in ridicule of the erection put up at Christ Church for the bells that were removed from the Cathedral tower.

46The terms affected with the coefficients ~3,-., on the other hand are such as occur in cyclic systems with latent motion (DYNAMICS, Analytical); they are called the gyrostatic terms. If we multiply (33) by 4~.

47As this vast mass cooled it must by the laws of heat have contracted towards the centre, and as it contracted it must, according to a law of dynamics, rotate more rapidly.

35Thomson (Applications of Dynamics to Physics and Chemistry, 47) that on dynamical principles there must be a reciprocal relation between the changes of dimensions produced by magnetization and the changes of magnetization attending mechanical strain.

35When generalizing the theory of pendulums of Jacob Bernoulli (1654-1705) he discovered a principle of dynamics so simple and general that it reduced the laws of the motions of bodies to that of their equilibrium.

35Another discussed conduction in curved sheets; a third the distribution of electricity in two influencing spheres; a fourth the deter mination of the constant on which depends the intensity of induced currents; while others were devoted to Ohm's law, the motion of electricity in submarine cables, induced magnetism, &c. In other papers, again, various miscellaneous topics were treated - the thermal conductivity of iron, crystalline reflection and refraction, certain propositions in the thermodynamics of solution and vaporization, &c. An important part of his work was contained in his Vorlesungen fiber mathematische Physik (1876), in which the principles of dynamics, as well as various special problems, were treated in a somewhat novel and original manner.

35Descartes helped to generalize and establish the notion of the fundamental character of uniform motion in a straight line, but otherwise his speculations did not point in the direc tion of sound progress in dynamics; and the next substantial advance that was made in the principles of the subject was due to Huygens (1629-1695).

36(The architect being at that time also the contractor.) The chapters are -- (1) on various machines, such as scaling-ladders, windmills, &c.; (2) on windlasses, axles, pulleys and cranes for moving heavy weights, such as those used by Chersiphron in building the great temple of Diana at Ephesus, and on the discovery by a shepherd of a quarry of marble required to build the same temple; (3) on dynamics; (4) on machines for drawing water; (5) on wheels for irrigation worked by a river; (6) on raising water by a revolving spiral tube; (7) on the machine of Ctesibius for raising water to a height; (8) on a very complicated water engine, the description of which is not intelligible, though Vitruvius remarks that he has tried to make the matter clear; (9) on machines with wheels to register the distance travelled, either by land or water; (10) on the construction of scorpiones for hurling stones; (11) and (12) on balistae and catapults; (13) on battering rams and other machines for the attack of a fortress; (14) on shields (testudines) to enable soldiers to fill up the enemy's ditches; (15) on other kinds of testudines; (16) on machines for defence, and examples of their use in ancient times.

37The separation of kinematics from dynamics is due mainly to 0.

23It has the disadvantage of giving the solution of the problem only for a particular case, and of being inapplicable in researches in which the general equations of dynamics have to be applied.

23Of the former, the first, published in 1896, was on the dynamics of a particle; and afterwards there followed a number of concise treatises on thermodynamics, heat, light, properties of matter and dynamics, together with an admirably lucid volume of popular lectures on Recent Advances in Physical Science.

24For purposes of theoretical discussions relating to moving radiators and reflectors, it is important to remember that the dynamics of all this theory of electrons involves the neglect of terms of the order (v/c) 2, not merely in the value of K but throughout.

25Whittaker, Analytical Dynamics (Cambridge, 1904); L.

26Whittaker, Analytical Dynamics (Cambridge, 1904); L.

26In recent times it has been proposed to adopt the term dynamics (from Gr.

27APPLIED DYNAMICS; being the theory of machines considered as modifying both motion and force.

27For the later years of his life his labours may be summed up under the following heads: (1) On the conservation of energy; (2) on hydro-dynamics; (3) on electro-dynamics and theories of electricity; (4) on meteorological physics; (5) on optics; and (6) on the abstract principles of dynamics.

27It is understood that the more important contents of the second and third parts appeared in the three voluminous supplements (to the first part) which were published in the same Transactions, and in the two papers " On a General Method in Dynamics," which appeared in the Philosophical Transactions in 1834-1835.

12During this period logarithms were invented, trigonometry and algebra developed, analytical geometry invented, dynamics put upon a sound basis, and the period closed with the magnificent invention of (or at least the perfecting of) the differential calculus by Newton and Leibnitz and the discovery of gravitation.

13Wiseman, Dynamics of Religion (London, 1897), pt.

13The step from optics i to dynamics in the application of the method of " Varying Action " was made in 1827, and communicated to the Royal Society, in whose Philosophical Transactions for 1834 and 1835 there are two papers on the subject.

13The interdependence of motion and force was not indeed formulated into definite laws by Galileo, but his writings on dynamics are everywhere suggestive of those laws, and his solutions of dynamical problems involve their recognition.

13Any scheme of abstract dynamics constructed in this way, provided it be self-consistent, is mathematically legitimate; but from the physical point of view we require that it should help us to picture the sequence of phenomena as they aCtually occur.

14Webster, Dynamics of Particles, &c. (1904); E.

14Balls highly original investigations in kinematics and dynamics were published in collected form under the title Theory of Screws (Cambridge, 1900).

14Hence it is not surprising that, in those more subtle forms in which energy cannot be readily or completely converted into work, the universality of the principle of energy, its conservation, as regards amount, should for a long while have escaped recognition after it had become familiar in pure dynamics.

00" Thomson and Tait," as it is familiarly called ("T and T" was the authors' own formula), was planned soon after Lord Kelvin became acquainted with Tait, on the latter's appointment to his professorship in Edinburgh, and it was intended to be an all-comprehensive treatise on physical science, the foundations being laid in kinematics and dynamics, and the structure completed with the properties of matter, heat, light, electricity and magnetism.

00These headings are: "Geometry and Kinematics of Particles and Solid Bodies"; "Principles of Rational Mechanics"; "Statics of Particles, Rigid Bodies, &c."; "Kinetics of Particles, Rigid Bodies, &c."; "General Analytical Mechanics"; "Statics and Dynamics of Fluids"; "Hydraulics and Fluid Resistances"; "Elasticity."

00For the subjects of this general heading see the articles Mechanics; Dynamics, Analytical; Gyroscope; Harmonic Analysis; Wave; HYDROMechanics; Elasticity; Motion, Laws Of; Energy; Energetics; Astronomy (Celestial Mechanics); Tide.

002 From the purely logical thesis, developed at quite an early stage of his thinking, 3 that in any true proposition the predicate is contained in the subject, the main principles of his doctrine of Monads are derivable with the minimum of help from his philosophy of dynamics.

00in its account of the concept, it brings the statics of knowledge, so to speak, into integral relation with the dynamics.

00The modification of motion and the modification of force take place together, and are connected by certain laws; but in the study of the theory of machines, as well as in that of pure mechanics, much advantage has been gained in point of clearness and simplicity by first considering alone the principles of the modification of motion, which are founded upon what is now known as Kinematics, and afterwards considering the principles of the combined modification 01 motion and force, which are founded both on geometry and on the laws of dynamics.

00ON APPLIED DYNAMICS

00His first work on this abstruse subject, entitled T heorie des perturbations de la lune, qui sont dues a faction des planetes,1 is remarkable for the boldness of its conception, and constitutes an important addition to celestial dynamics.

00Dynamics >>

00Hamilton himself seems not till this period to have fully understood either the nature or the importance of his discovery, for it is only now that we find him announcing his intention of applying his method to dynamics.

00Thus present man is a being that can only be understood through a knowledge of his past history; and any effort to construct for him a moral and political ideal, by a purely abstract and unhistorical method, must necessarily be futile; whatever modifications may at any time be desirable in positive law and morality can only be determined by the aid of " social dynamics."

00"Jenn, your mission is to help the Black God root out traitors and find out what the Others are doing," Damian said, interested in the dynamics between the two.

00I need for you to analyze the dynamics of the controlled reverse flow reactor.

00A propensity necessary for understanding the dynamics of labor market changes is the migration propensity.

00Keywords: Solid state physics, Lattice dynamics, Lattice sums, convergence acceleration, Incomplete gamma Function.

00We conclude that precise control of actin filament dynamics by UNC-60B is required for proper integration of actin into myofibrils.

00This book provides a detailed grasp of the dynamics of society that Klein merely alludes to once in her book.

00The wide-ranging dynamics and athletic coverage of the keyboard were accompanied by careful articulation so we were always able to enjoy the detail.

00An improved analysis of forest carbon dynamics using data assimilation.

00automata based modeling of social dynamics with Mathematica.

00axial tilt have on its atmospheric dynamics?

00axon branch dynamics by correlated activity in vivo.

00labor back benchers are preoccupied with the death throes of Tony Blair and the dynamics of succession, not the dynamics of Scottish secession.

00biomorphic motion and advanced natural dynamics for movement.

00brit rock rowdiness of Oasis and the beautiful dynamics and ambiance of U2.

00chaotic dynamics.

00Primates Investigate the changing group dynamics of captive orphan chimpanzees in a sanctuary situation.

00River channel confluences are ubiquitous features of all fluvial networks & represent sites of complex, three-dimensional flow & sediment dynamics.

00Bibliographic Information Some notes on the dynamics of nematic liquid crystals.

00Vortex Dynamics Dr. A.M. Campbell The project is investigating the role of surface currents in the critical current of BSCCO crystals.

00diffusive mass transfer in conduit flow dynamics.

00disequilibrium dynamics.

00dissociation dynamics of these molecules.

00dramatize the great human emotions in relation to the dynamics of the city.

00dynamics of a tropical mountain ecosystem.

00dynamics of globalization.

00The intentional approach allows the system to simulate more closely the dynamics of a human encounter, such as the communication of emotion.

00understand group dynamics in order to achieve better results from your team Group dynamics are at the heart of successful teamwork.

00Figure: an example of plant microcosm systems used to quantify spatio-temporal dynamics of epidemics (left ).

00She draws on her skills as a glass maker and jeweler to explore the intriguing dynamics in relationships.

00In this work, we have investigated the dynamics of a modifier allele which increases the strength of assortment.

00Professor Chris Jones has taken up a chair in nonlinear dynamics in the school of mathematics.

00In particular, my special subject to study was fluid dynamics.

00She uses " blood " and " CFD "; then " computational fluid dynamics " instead of " CFD " .

00This R factor corresponds to the relative motions occurred during molecular dynamics (see more at flexibility ).

00The lecture will explore why non-linear dynamics must be at the core of performance based earthquake engineering.

00Similarly, the simulation of alternative monetary policy rules shows that seemingly innocent changes can switch an economic system from regular to chaotic dynamics.

00The work consists of applying computational fluid dynamics simulations to study the fluid dynamics simulations to study the fluid dynamics of surgically reconstructed fluid domains.

00Other papers concern replicator dynamics in which every agent in a population of n agents plays one other agent.

00Two small GTP-binding proteins are known to be involved in modulating actin dynamics.

00An attempt to determine population dynamics of introduced alien squirrel species.

00EUROMECH Colloquium 491: " vortex dynamics from quantum to geophysical scales " EUROMECH Colloquium 491 home page.

00My thesis title is Studies on the biogenic mediation of sediment dynamics in coastal systems.

00There are several reasons why it might be necessary to go beyond a deterministic description of ecosystem dynamics, and include stochastic effects.

00A mixture of water chemistry, wetland ecology and dynamics, environmental economics and agri-environmental policy!

00ecosystem dynamics, and include stochastic effects.

00The step edges can play a large part in the surface dynamics of growth, and understanding the energetics of kinking is important.

00Subsequently data collection and analysis will be used for meso-scale studies of thermospheric energetics and dynamics.

00extremism propagation with relative agreement opinion dynamics.

00This approach should lead to a more complete description of the dynamics of cell fate in the mouse.

00A joint field trip is being planned for 2007, supported by a NERC grant on Forest Fire Intensity Dynamics.

00filament dynamics by UNC-60B is required for proper integration of actin into myofibrils.

00The spatial dynamics of mosquito transmission of lymphatic filariasis in Papua New Guinea E. C. Chapman, LC.

00fluid dynamics " instead of " CFD " .

00The protein folding dynamics after mixing are measured by intrinsic tryptophan fluorescence excited by a UV lamp.

00Although broadly predictable, the year on year changes in ice dynamics and glacier foreland dynamics is such that new opportunities will constantly arise.

00For example, models involving chaotic dynamics are proving particularly fruitful.

00understand group dynamics in order to achieve better results from your team Group dynamics are at the heart of successful teamwork.

00Collaborative learning implies that students have to learn new communication techniques and staff members have to become versatile with changing group dynamics.

00Increasing your contribution to the management team through basic group dynamics and team work.

00Hamiltonian dynamics introduced, gently.

00I will then consider the circuitry and dynamics of the mammalian hippocampus.

00holomorphic dynamics.

00hydrology on the dynamics of a large Quaternary ice sheet.

00The influence of glacier hydrology on the dynamics of a large quaternary ice sheet.

00ineluctable sense of dynamics, which means also his structural control of each work.

00The mass-loss from these objects is invariably very inhomogeneous which has important implications for stellar wind dynamics.

00Step scan permits the separation of the dynamics of scanning the interferometer from the dynamics of the chemical event to be measured.

00interplay between the group dynamics and the personal dynamics of the participants.

00It means an art which penetrates through the appearances of social life to grasp their inner dynamics and dialectical interrelations.

00isometryticular, we have firmly connected round-off dynamics with the theory of piecewise isometries, which is itself undergoing a very rapid development.

00At the start most of us used our Group Dynamics electronic keypad to vote against the motion.

00life history strategies to population dynamics and community structure.

00Bibliographic Information Some notes on the dynamics of nematic liquid crystals.

00louse dynamics of cattle lice infestation in a group of cattle kept over two winter periods.

00Survey of a modeling hierarchy, from relativistic quantum mechanics to fluid dynamics.

00microtubule dynamics.

00modulated in the same way as the dynamics.

00molecular dynamics (see more at flexibility ).

00mussel population dynamics in the Mississippi River.

00The revival of Arab nationalism will change the dynamics in Middle East politics.

00After a brief introduction to pyramidal neurons, I will cover some of the existing models of neuronal dynamics.

00becoming more nuanced about such constitutive dynamics will not guarantee that we can interrupt the tendencies upon which he focuses here.

00Advantage is able to do deliver on-site Microsoft Dynamics training to suit your specific requirements wherever you need our support.

00particularitynventional methods of modeling urban development have not been able to capture the complexities and historical particularities of urban social dynamics.

00We will never know enough about the complex dynamics of our planet to justify a solid pessimism about the future.

00The knowledge of the seasonal dynamics of vegetation phenology allows to improve current land surface model runs.

00If you do, you'll find the phrasing, dynamics and timing accuracy are all rough round the edges.

00pitfalls of cross-national research on income dynamics within old age.

00Understanding the dynamics of the performance is also integral to developing poetics culturally relevant to ancient Israelite traditions.

00population dynamics and community structure.

00Molecular Dynamics Molecular dynamics is conceptually simple, yet extremely powerful.

00Understanding the dynamics of Iran's relations with its neighbors helps explain why Iran feels able to resist Western pressure.

00A talk which looks at population dynamics, predator prey relationships and factors (biotic and abiotic) affecting animal populations.

00Population growth and surging oil revenues are the key dynamics stimulating both public and private sector investment in construction projects.

00propagule dynamics in groundwater-fed rivers: implications for river management, restoration and riparian biodiversity.

00purloined letter by pointing out that Lacan had missed the dynamics of framing.

00quantify spatio-temporal dynamics of epidemics (left ).

00quantifyare, however, many unknowns or poorly quantified aspects of assessing biosphere dynamics.

00reconstruct the dynamics in phase space of a four-dimensional symplectic mapping using the perturbative approach.

00Contact Dr. Alan Blackburn Driving models of forest gap regeneration dynamics using remote sensing.

00We are interested in the nature, extent, and dynamics of cortical reorganization in order to develop new strategies for visual rehabilitation.

00To develop predictive models of saiga population dynamics, and to model the likely direct and indirect effects of human activities on saiga population dynamics, and to model the likely direct and indirect effects of human activities on saiga reproduction.

00short-run dynamics, assuming quadratic adjustment costs, cannot be rejected by the data.

00simulates the dynamics of the space flight.

00Real-time trajectory modeling accurately simulates the dynamics of the space flight.

00This finding is also supported by molecular dynamics simulations.

00You can get the latest shareware versions of various statistical software or of population dynamics simulation.

00The first dealer was still whingeing about the perceived slight, seemingly understanding nothing of the dynamics of street trade.

00steric clashes, we will need to run a short minimisation of this structure before starting molecular dynamics.

00stratify dynamics in strongly stratified flow over three-dimensional obstacles.

00Multi-component condensates: kinetics, dynamics, solitary waves and phenomenological models of cosmic strings.

00supercomputer simulations of fluid dynamics.

00Establish chironomid life histories and emergence patterns and relate to cape teal, black-necked grebe and hirundine dynamics.

00telomere dynamics.

00Satellite remote sensing with aim of improving knowledge of ice sheet topography, ice dynamics and surface energy balance.

00trajectoryRA menu holds a set of options that allow you to analyze GROMOS molecular dynamics trajectories.

00ultrashort laser dynamics.

00The dark and heavy emphasis of traditional texts leaves a very unbalanced, one-sided view of Scorpio's fundamental dynamics.

00Dynamics of the vortex wakes of swimming and flying vertebrates.

00vortex dynamics to determine the development of simple three-dimensional flows.

00Simulation of the annual water table dynamics of a floodplain wetland, Narborough Bog, UK.

00One is simulating wind and wind resistance and airflow dynamics on proposed vehicle designs, with virtual wind tunnels rapidly becoming a reality.

00zooplankton dynamics over very large areas.

00Hence it is not surprising that, in those more subtle forms in which energy cannot be readily or completely converted into work, the universality of the principle of energy, its conservation, as regards amount, should for a long while have escaped recognition after it had become familiar in pure dynamics.

00It is a fundamental result in dynamics that, if a body be projected vertically upwards in vacuo, with a velocity of v centimetres per second, it will rise to a height of v 2 /2g centimetres, where g represents the numerical value of the acceleration produced by gravity in centimetre-second units.

00As this vast mass cooled it must by the laws of heat have contracted towards the centre, and as it contracted it must, according to a law of dynamics, rotate more rapidly.

00Of the former, the first, published in 1896, was on the dynamics of a particle; and afterwards there followed a number of concise treatises on thermodynamics, heat, light, properties of matter and dynamics, together with an admirably lucid volume of popular lectures on Recent Advances in Physical Science.

00" Thomson and Tait," as it is familiarly called ("T and T" was the authors' own formula), was planned soon after Lord Kelvin became acquainted with Tait, on the latter's appointment to his professorship in Edinburgh, and it was intended to be an all-comprehensive treatise on physical science, the foundations being laid in kinematics and dynamics, and the structure completed with the properties of matter, heat, light, electricity and magnetism.

00These headings are: "Geometry and Kinematics of Particles and Solid Bodies"; "Principles of Rational Mechanics"; "Statics of Particles, Rigid Bodies, &c."; "Kinetics of Particles, Rigid Bodies, &c."; "General Analytical Mechanics"; "Statics and Dynamics of Fluids"; "Hydraulics and Fluid Resistances"; "Elasticity."

00For the subjects of this general heading see the articles Mechanics; Dynamics, Analytical; Gyroscope; Harmonic Analysis; Wave; HYDROMechanics; Elasticity; Motion, Laws Of; Energy; Energetics; Astronomy (Celestial Mechanics); Tide.

00During this period logarithms were invented, trigonometry and algebra developed, analytical geometry invented, dynamics put upon a sound basis, and the period closed with the magnificent invention of (or at least the perfecting of) the differential calculus by Newton and Leibnitz and the discovery of gravitation.

00The Dynamics of a Particle was written on the occasion of the contest between Gladstone and Mr Gathorne Hardy (afterwards earl of Cranbrook); and The New Belfry in ridicule of the erection put up at Christ Church for the bells that were removed from the Cathedral tower.

00His treatment of the subject was the first successful attempt to deal with the dynamics of a system.

00Thomson (Applications of Dynamics to Physics and Chemistry, 47) that on dynamical principles there must be a reciprocal relation between the changes of dimensions produced by magnetization and the changes of magnetization attending mechanical strain.

00When generalizing the theory of pendulums of Jacob Bernoulli (1654-1705) he discovered a principle of dynamics so simple and general that it reduced the laws of the motions of bodies to that of their equilibrium.

00The third volume of the Positive Polity treats of social dynamics, and takes us again over the ground of historic evolution.

00But some, especially those on Celestial Dynamics and Organic Motion, are admirable examples of what really valuable work may be effected by a man of high intellectual powers, in spite of imperfect information and defective logic.

00For purposes of theoretical discussions relating to moving radiators and reflectors, it is important to remember that the dynamics of all this theory of electrons involves the neglect of terms of the order (v/c) 2, not merely in the value of K but throughout.

00dynamics of the movement of the shot up the bore, and of the stress set up in the material of the gun, constitutes the branch of interior ballistics.

00In addition to a large number of publications in the Proceedings of the Royal Society and the Philosophical Magazine, he has published A Treatise on the Motion of Vortex Rings (1884); The Application of Dynamics to Physics and Chemistry (1886); Recent Researches in Electricity and Magnetism (1892); Elements of the Mathematical Theory of Electricity and Magnetism (18 95, 5th ed.

00Descartes helped to generalize and establish the notion of the fundamental character of uniform motion in a straight line, but otherwise his speculations did not point in the direc tion of sound progress in dynamics; and the next substantial advance that was made in the principles of the subject was due to Huygens (1629-1695).

00(The architect being at that time also the contractor.) The chapters are -- (1) on various machines, such as scaling-ladders, windmills, &c.; (2) on windlasses, axles, pulleys and cranes for moving heavy weights, such as those used by Chersiphron in building the great temple of Diana at Ephesus, and on the discovery by a shepherd of a quarry of marble required to build the same temple; (3) on dynamics; (4) on machines for drawing water; (5) on wheels for irrigation worked by a river; (6) on raising water by a revolving spiral tube; (7) on the machine of Ctesibius for raising water to a height; (8) on a very complicated water engine, the description of which is not intelligible, though Vitruvius remarks that he has tried to make the matter clear; (9) on machines with wheels to register the distance travelled, either by land or water; (10) on the construction of scorpiones for hurling stones; (11) and (12) on balistae and catapults; (13) on battering rams and other machines for the attack of a fortress; (14) on shields (testudines) to enable soldiers to fill up the enemy's ditches; (15) on other kinds of testudines; (16) on machines for defence, and examples of their use in ancient times.

002 From the purely logical thesis, developed at quite an early stage of his thinking, 3 that in any true proposition the predicate is contained in the subject, the main principles of his doctrine of Monads are derivable with the minimum of help from his philosophy of dynamics.

00in its account of the concept, it brings the statics of knowledge, so to speak, into integral relation with the dynamics.

00In recent times it has been proposed to adopt the term dynamics (from Gr.

00Any scheme of abstract dynamics constructed in this way, provided it be self-consistent, is mathematically legitimate; but from the physical point of view we require that it should help us to picture the sequence of phenomena as they aCtually occur.

00The complete determination of the result of a collision under given circumstances is not a matter of abstract dynamics alone, but requires some auxiliary assumption.

00Lagranges own proof will be found under DYNAMIcs, Analytical.

00The terms affected with the coefficients ~3,-., on the other hand are such as occur in cyclic systems with latent motion (DYNAMICS, Analytical); they are called the gyrostatic terms. If we multiply (33) by 4~.

00ed., Cambridge, 1896), Dynamics of a Particle (Cambridge, 1898), Rigid Dynamics (6th ed., Cambridge 1905); G.

00Webster, Dynamics of Particles, &c. (1904); E.

00Balls highly original investigations in kinematics and dynamics were published in collected form under the title Theory of Screws (Cambridge, 1900).

00(See also DYNAMICS.) (H.

00The modification of motion and the modification of force take place together, and are connected by certain laws; but in the study of the theory of machines, as well as in that of pure mechanics, much advantage has been gained in point of clearness and simplicity by first considering alone the principles of the modification of motion, which are founded upon what is now known as Kinematics, and afterwards considering the principles of the combined modification 01 motion and force, which are founded both on geometry and on the laws of dynamics.

00The separation of kinematics from dynamics is due mainly to 0.

00APPLIED DYNAMICS; being the theory of machines considered as modifying both motion and force.

00ON APPLIED DYNAMICS

00His first work on this abstruse subject, entitled T heorie des perturbations de la lune, qui sont dues a faction des planetes,1 is remarkable for the boldness of its conception, and constitutes an important addition to celestial dynamics.

00For the later years of his life his labours may be summed up under the following heads: (1) On the conservation of energy; (2) on hydro-dynamics; (3) on electro-dynamics and theories of electricity; (4) on meteorological physics; (5) on optics; and (6) on the abstract principles of dynamics.

00Wiseman, Dynamics of Religion (London, 1897), pt.

00He wrote upon nearly every subject of pure mathematics, and also upon theoretical dynamics and spherical and physical astronomy.

00Among his most remarkable works may be mentioned his ten memoirs on quantics, commenced in 1854 and completed in 1878; his creation of the theory of matrices; his researches on the theory of groups; his memoir on abstract geometry, a subject which he created; his introduction into geometry of the "absolute"; his researches on the higher singularities of curves and surfaces; the classification of cubic curves; additions to the theories of rational transformation and correspondence; the theory of the twenty-seven lines that lie on a cubic surface; the theory of elliptic functions; the attraction of ellipsoids; the British Association Reports, 1857 and 1862, on recent progress in general and special theoretical dynamics, and on the secular acceleration of the moon's mean motion.

00Another discussed conduction in curved sheets; a third the distribution of electricity in two influencing spheres; a fourth the deter mination of the constant on which depends the intensity of induced currents; while others were devoted to Ohm's law, the motion of electricity in submarine cables, induced magnetism, &c. In other papers, again, various miscellaneous topics were treated - the thermal conductivity of iron, crystalline reflection and refraction, certain propositions in the thermodynamics of solution and vaporization, &c. An important part of his work was contained in his Vorlesungen fiber mathematische Physik (1876), in which the principles of dynamics, as well as various special problems, were treated in a somewhat novel and original manner.

00Meanwhile he was filling his note-books as busily as ever with the results of his studies in statics and dynamics, in human anatomy, geometry and the phenomena of light and shade.

00Hamilton himself seems not till this period to have fully understood either the nature or the importance of his discovery, for it is only now that we find him announcing his intention of applying his method to dynamics.

00It is understood that the more important contents of the second and third parts appeared in the three voluminous supplements (to the first part) which were published in the same Transactions, and in the two papers " On a General Method in Dynamics," which appeared in the Philosophical Transactions in 1834-1835.

00The step from optics i to dynamics in the application of the method of " Varying Action " was made in 1827, and communicated to the Royal Society, in whose Philosophical Transactions for 1834 and 1835 there are two papers on the subject.

00Thus present man is a being that can only be understood through a knowledge of his past history; and any effort to construct for him a moral and political ideal, by a purely abstract and unhistorical method, must necessarily be futile; whatever modifications may at any time be desirable in positive law and morality can only be determined by the aid of " social dynamics."

00It has the disadvantage of giving the solution of the problem only for a particular case, and of being inapplicable in researches in which the general equations of dynamics have to be applied.

00During the ensuing two years (1589-1591) he carried on that remarkable series of experiments by which he established the first principles of dynamics and earned the undying hostility of bigoted Aristotelians.

00The interdependence of motion and force was not indeed formulated into definite laws by Galileo, but his writings on dynamics are everywhere suggestive of those laws, and his solutions of dynamical problems involve their recognition.

00Derrida replied to Lacan 's reading of the purloined letter by pointing out that Lacan had missed the dynamics of framing.

00There are, however, many unknowns or poorly quantified aspects of assessing biosphere dynamics.

00Nature of problem: This code allows one to reconstruct the dynamics in phase space of a four-dimensional symplectic mapping using the perturbative approach.

00The main topic of the day was the behavior patterns and population dynamics of the European red squirrel in different habitats.

00Contact Dr. Alan Blackburn Driving models of forest gap regeneration dynamics using remote sensing.

00This seemingly simple fact has a great impact on the long time dynamics and rheology of the material.

00To develop predictive models of saiga population dynamics, and to model the likely direct and indirect effects of human activities on saiga reproduction.

00The emotional dynamics are similar to mystical yearning, except that the self-pity factor is different.

00Finally, a forward-looking interpretation of the short-run dynamics, assuming quadratic adjustment costs, cannot be rejected by the data.

00Real-time trajectory modeling accurately simulates the dynamics of the space flight.

00This finding is also supported by molecular dynamics simulations.

00You can get the latest shareware versions of various statistical software or of population dynamics simulation.

00The first dealer was still whingeing about the perceived slight, seemingly understanding nothing of the dynamics of street trade.

00Since there are many steric clashes, we will need to run a short minimisation of this structure before starting molecular dynamics.

00Vortex dynamics in strongly stratified flow over three-dimensional obstacles.

00Multi-component condensates: kinetics, dynamics, solitary waves and phenomenological models of cosmic strings.

00Another aim will be to study some long standing problems of fluid dynamics by use of series summation methods.

00Based in the School of Physics, Dr. Bate 's research centers on producing supercomputer simulations of fluid dynamics.

00The author 's depiction of oppositional politics and dynamics in the nationalist community is superficial in the extreme.

00Research also includes studies into the intergroup and identity dynamics within global multicultural societies, processes of construction of superordinate identities (e.g.

00The project features the world 's largest lattice Boltzmann simulation of its kind, to study defect dynamics in liquid crystalline surfactant systems.

00In addition, live imaging is used to study the dynamics of dendrite morphogenesis and synapse formation.

00Establish chironomid life histories and emergence patterns and relate to cape teal, black-necked grebe and hirundine dynamics.

00Rather, socio-economic status appears to have an impact on telomere dynamics.

00The dynamics of the joint and its inherent instability lead to the subject of temporomandibular dysfunction.

00Jane Bevan Spatial and temporal dynamics of terricolous lichen assemblages and their bioprotective role in the El Cantino badlands, S E Spain.

00Satellite remote sensing with aim of improving knowledge of ice sheet topography, ice dynamics and surface energy balance.

00The ANATRA menu holds a set of options that allow you to analyze GROMOS molecular dynamics trajectories.

00This configuration is extremely important for the study of the ultrashort laser dynamics.

00The dark and heavy emphasis of traditional texts leaves a very unbalanced, one-sided view of Scorpio 's fundamental dynamics.

00We have worked on the population dynamics of a range of ungulate species, with a particular focus on their response to harvesting.

00In separate reports, they examine WiMax market dynamics, vendor positioning, service provider plans, and WiMax Forum activities.

00Dynamics of the vortex wakes of swimming and flying vertebrates.

00Use vortex dynamics to determine the development of simple three-dimensional flows.

00The technique is applied to the study of the dynamics of sub-millimeter air bubbles in a three-dimensional vortical flow generated by a propeller.

00Simulation of the annual water table dynamics of a floodplain wetland, Narborough Bog, UK.

00One is simulating wind and wind resistance and airflow dynamics on proposed vehicle designs, with virtual wind tunnels rapidly becoming a reality.

00This suggests that stochastic events can influence zooplankton dynamics over very large areas.

00Believe it or not, family dynamics can help you make a decision as to the type of baby gift you should buy.

00When the arrival of a new baby is imminent, the family dynamics can't help but change somewhat.

00While in most situations there is nothing you can do to change your co-parenting situation, there are things you can do to improve the dynamics of co-parenting.

00These highly knowledgeable, and often well-known, individuals host classes on a variety of topics, from new time and budget-saving scrapping techniques to advanced concept dynamics for scrappers looking to turn their passion into profit.

00Individual factors that induce stress include your family dynamics, outlook and coping abilities.

00Prior to the first season, Seacrest commented, "The familiar dynamics of this family make them one Hollywood bunch that is sure to entertain."

00Having an African American father and Caucasian mother, Halle recognized racial dynamics at an early age, once stating that "Blackness is a state of mind and I identify with the black community.

00The supplies you'll need will vary based on your dog's breed, age, living situation and family dynamics.

00The first thing you will want to do when deciding which type of dog you want is ask yourself a few questions about your lifestyle, family dynamics and living arrangements.

00Sheet music, and the notes represented on the sheet, can display the kind of dynamics and a subtlety in playing that tablature is not able to represent.

00Stylistically, the band focused more on dynamics than on complicated patterns.

00In addition, dynamics, or how loud of soft you are to play the notes, are not presented either.

00However, sheet music is a much more detailed and accurate form of music notation because it takes into account subtleties in the music like dynamics and rhythm.

00Be forewarned; some tablature books highlight the full dynamics of a song in tab notation like hammer-on's and staccato notes.

00For others, tablature is much easier - although it doesn't highlight the melody or dynamics of the song.

00Sheet music - especially classical sheet music - is focused on dynamics.

00Tab has the ability to be a bit more specific since it can transcribe single note lines and solos, but there is still no indication of tempo or dynamics.

00Family articles focus on the changing dynamics of seniors' families.

00Therefore, the normal dating dynamics change a bit.

00These clips can be useful, but they can also be misleading because they may not include all the ride's dynamics and rough motion.

00The video games with Tom Clancy's name are first- or third-person shooters using stealth or group dynamics to achieve a common goal.

00However, there are several new innovations that have been introduced in Street Fighter IV that change the dynamics of the battles.

00Because grandparents can influence stepfamily dynamics, educating stepgrandparents about stepfamily issues can also help.

00Birth spacing changes the dynamics of strict birth order, too.

00Systematic diagnostic interviews with parents and children provide opportunity for a thorough assessment of individual risk factors and family and societal dynamics.

00The stress of dealing with the child's mutism may have created various imbalances in family dynamics, and parents may need help in coming to terms with their own emotions and becoming more consistent in their parenting styles.

00GT uses group dynamics and peer interactions to increase understanding, communication, and improve social skills.

00However, given the psychosocial dynamics that often coexist with depression, antidepressants are usually insufficient as the only treatment for children who have the disorder.

00Since often the family dynamics provoke this behavior, parental involvement in therapy is essential.

00In order to learn East Coast Swing Dancing the dancer's body needs to feel the moves, let them sink into their muscle memory, and also learn the dynamics of working and reading a partner.

00Other dynamics, like your physical readiness, financial situation, and lifestyle, also come into play when you consider adding another child to your family.

00However, having another baby will shift your family dynamics and create a new birth order.

00This is above and beyond past Tickle Me Elmos, and your whole family will be amazed at the dynamics built into this Elmo.

00Even if you still hang out with your girlfriends on double dates and other couples' outings, the addition of men changes the dynamics of the group.

00Forming a relationship or office romance with a coworker can have some repercussions both with your career and the dynamics of your work environment.

00Rare and scarce color diamonds at affordable prices - Earth-mined fancy color diamonds are in scare supply, thus driving prices to high levels within the dynamics of supply and demand.

00One thing to keep in mind when joining an online writing community is to spend the first few weeks deciding if you enjoy the group's dynamics.

00You can quickly grasp the dynamics this relationship will need to sustain and endure.

00She thrives on the energy found in the dynamics of group activities.

00Keep in mind that when you married your spouse, your stepchild's family dynamics took an abrupt turn.

00Unfortunately, not much has been leaked about the script other than hints of high action dynamics.

00The show focuses on the inner workings and dynamics of larger, working class families with a strong matriarchal character at the helm of each family.

00Core Dynamics Pilates: Creator Michele Larsson focuses her historical Pilates method on the teaching of an individual, not an entire class.

00Interested students of Core Dynamics take a series of workshops and tests for certification in this method.

00The full name of this product is actually Microsoft Dynamics CRM for Small Business, and the current version on the market is version 4.

00Generally speaking, Microsoft Dynamics CRM for Small Business integrates with all the familiar Microsoft products such as Excel and Outlook.

00Singing over a lone piano with strings and delicate percussion, Lambert highlights Mad World's swelling dynamics while preserving the ominous overtones creating a version that is dark and haunting, yet oddly uplifting.

00For the player, intonation, vibrato and other dynamics are paramount.

00Even though their parents are far from average, both kids are well adjusted and grounded, and the family's dynamics are very similar to those of "normal" families.

00What makes this reality show interesting is the glimpse into celebrity life and comparing things like parenting styles and family dynamics.

00These folks drop in on the teams as they're working and make note of the team dynamics and planning stages for each task.

00Even if you have watched past seasons of a show, don't assume that the producers want to see the same cast dynamics this time.

00Both sons work at the shop and the family dynamics play a big part in the overall theme.

00Dog the Bounty Hunter combines the family dynamics between Dog, his wife Beth, their children, and his brother Tim, with a look at the life of a real bounty hunter.

00For Dee Snider, Growing Up Twisted captures the family dynamics in a household where the father is a rock star.

00As with most documentary-style reality shows, there are all kinds of different dynamics that exist between cast members.

00Viewers who feel that a romance between the main characters would just kill all the tension and dynamics.

00If you're wondering why do mosquito bites itch, it helps to understand the dynamics of mosquito bites and how to treat them.

00Basically, the program works like a word processor where you input your text, import pictures and insert other dynamics without knowing any programming techniques.

00Of course, the sound was played through a tinny, electronic-tone-generating piece of software, with no dynamics, timbre, or certainly any vocals.

00Among his most remarkable works may be mentioned his ten memoirs on quantics, commenced in 1854 and completed in 1878; his creation of the theory of matrices; his researches on the theory of groups; his memoir on abstract geometry, a subject which he created; his introduction into geometry of the "absolute"; his researches on the higher singularities of curves and surfaces; the classification of cubic curves; additions to the theories of rational transformation and correspondence; the theory of the twenty-seven lines that lie on a cubic surface; the theory of elliptic functions; the attraction of ellipsoids; the British Association Reports, 1857 and 1862, on recent progress in general and special theoretical dynamics, and on the secular acceleration of the moon's mean motion.

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The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.