This chapter discusses the sections of finite and absolute mechanics of Hegel’s Philosophy of Nature which are predicated upon his theory of space and time. It starts with the emergent notions of matter and movement before giving the details of the mechanical analysis in a close reading. Giving a foundation for Kepler’s laws is not only a touchstone of Hegel’s theory but is an integral rung in a system of steps building natural science from space and time. The chapter exposes three main strands of argument: dimensional realization of time and space in movement of matter, striving towards inner and outer centers of extended bodies, and the realization of a system of bodies in motion which materializes a complexity paralleling not only of the tripartite system general-particular-individual of his logic but additionally includes two particulars – as necessary in Hegel’s account of nature. Lastly, the chapter comments briefly on the relationship to Kant, Newton, and classical mechanics, as well as on modern aspects. As it demonstrates, Hegel’s treatment of mechanics is not an idiosyncratic way of presenting celestial mechanics but contains radical, quite modern metaphysical concepts which are not only interesting in their own right but furnish a key to the understanding of his system.

The fin-de-siècle aesthetes, of course, react against the moral project expressed in realist novels like Eliot’s and Ward’s. Indeed, Oscar Wilde uses liturgy to attack what he sees as realism’s stunted imagination. But, as this chapter and the next show, aestheticism too is deeply suspicious of how excarnation separates the material and the spiritual. Again, if modernity typically sunders these realms, liturgy joins them. It therefore offers the perfect channel for aestheticism’s veneration of material reality – of beautiful bodies, lovely objects, and stimulating experiences. Such devotion pervades Walter Pater’s novel Marius the Epicurean (1885) – itself a kind of liturgical and aesthetic bildungsroman. Set in second-century Italy, the novel follows the pious Marius, who cherishes the pagan rituals of his boyhood and finds their fulfillment in the early Christian Mass. For Marius, the Eucharist not only sacralizes material objects but also defends matter – specifically the body – against the ritual violence of imperial Rome. Just as Wordsworth depicts industrialism as a liturgy of desecration, Pater sees Roman imperial power in similar terms.

The work of modernist poet and visual artist David Jones provides a retrospective vantage of the central claims of Liturgy, Ritual, and Secularization in Nineteenth-Century British Literature. Jones saw the nineteenth century as a moment of breakage with the past. This rupture, according to Jones, threatens the work of the artist by depleting the sacramental meaning of reality – that is, the ability of concrete things to signify unseen spiritual depths. In both a dramatic biographical encounter with the Mass during his time on the front lines of World War I and in his subsequent art and poetry, Jones turns to liturgical forms to confront the breakage that began in the nineteenth century. Viewed from Jones’s perspective, the Romantic and Victorian interest in liturgy takes on new significance for the overarching genealogy of modernity and secularization. These liturgical fascinations intervene in – and resist – the long story of modernity’s separation of the material and spiritual, the natural and supernatural.

Chapter 3, “Invoking the Name of Mary,” reconstructs the resonance of Marian invocation for charm participants of the late-Saxon period. While the elaborate monastic cult of the Virgin had not yet spread into popular devotion at this time, the Church urged Christians to trust Mary with their needs. It taught the people that she would advocate for them in response to their prayers. Church festivals, liturgy, homily, and poetry expose laity to narratives about Mary’s intervention on behalf of the faithful. The Mother of Christ could intercede with her son; the Queen of Heaven and Hell could command saints and overcome the devil. Charms that invoke Mary call on her by name, relate stories about the Virgin’s miraculous bearing of Christ, and prescribe her Magnificat or Masses said in her honor. Through the operation of charms’ semiotic systems, the Virgin known from vernacular and ecclesiastical traditions becomes immanent for the charm audience. By identifying the ways in which Mary is invoked, this chapter demonstrates Mary’s contributions to remedies for acute physical and spiritual conditions.

The toolbox for subnuclear physics.

How the Lorentz transformations can be found from basic properties of space-time, independently of electromagnetism, as in the usual presentations. Lorentz-invariance is a common property of all the fundamental interactions.

Clear discussion of the fundamental concepts of energy, momentum and mass; of their relations; and of their transformations between reference systems, in particular the laboratory and centre of mass frames.

The sources of high-energy particles, cosmic rays and the different types of accelerators. The progress of our knowledge is fully linked to the experimental ‘art’ of detector design and development. Detectors are made of matter, solid or liquid, or gaseous. The interactions of charged and neutral high-energy particles with matter are described. The principal types of detector and the principles of their operation are introduced.

By the mid-sixties, Leonard Bernstein was engaging with the Civil Rights Movement and the Vietnam War resistance. Bernstein took part in greeting Martin Luther King in the Selma Alabama fifty-four mile march to gain voting rights. He campaigned for war resistor Eugene McCarthy in the election of 1968. In 1970, Bernstein’s and his wife Felicia’s fundraising support for the Black Panthers Legal Defense brought him under public attack organized by the FBI’s J. Edgar Hoover. In 1971, Bernstein’s support for war resistor Daniel Berrigan, and his seeking the latter’s help in writing the libretto for Mass, brought him again under attack by Hoover, this time with the connivance of President Nixon, who had missed the inaugural performance of Mass for fear that Bernstein would publicly humiliate him. Nixon now placed Bernstein on his infamous ‘Enemies List’, but Bernstein was saved from victimization by Hoover’s death and Nixon’s forced resignation due to the Watergate scandal.

Stephen Schwartz entered Bernstein’s life at a crucial moment when the composer needed assistance in writing Mass, especially with the lyrics for English ‘tropes’ that transmit much of the show’s message and political commentary. Schwartz has stated that he also helped Bernstein develop the loose plot that ties Mass together as an organic whole, an assertion that has been accepted by the Leonard Bernstein Office. Bernstein and Schwartz were very rushed and worked through the score mostly in performance order with little time for revisions. This chapter includes biographical material on Schwartz before he worked on Mass and his recollections of which lyrics he wrote for the show, his opinions on Mass and the work’s continuing popularity, his memories of working with Bernstein, how Schwartz later revised his lyrics for Mass, and how he has felt the influence of the older composer in his own Broadway works.

Leonard Bernstein stated in 1977, ‘The work I have been writing all my life is about … the crisis of our century, a crisis of faith’. In the decade between 1961 and 1971, he completed just three works, all choral-orchestral: ‘Kaddish’ (Symphony No. 3), Chichester Psalms, and Mass. This chapter views these works through the lens of Bernstein’s intense concern with a crisis of faith, at once societal and personal, philosophical and musical. In its reading of the scores, it seeks a deeper understanding of the music (including for practical performance), and of Bernstein’s propositions in theological as well as musical terms – concluding that his process is not merely one of presenting crises, but also one working to revise and reinvigorate larger faith and musical structures, as we see most spectacularly in Mass’s ritual of crisis and reaffirmation.

Erasmian humanism paved the way for the spread of the Protestant Reformation in the Swiss Confederation. Basel’s printing houses played a major role in the diffusion of Luther’s ideas, which were then further disseminated by preachers in other cities. Supported by Zurich’s ruling council, Huldrych Zwingli played a key role in spreading the Evangelical movement in Switzerland. Anabaptism also attracted many adherents, but persecution effectively marginalised the movement and limited it to rural areas. Central Switzerland remained staunchly Catholic, and a brief war broke out between Catholic and Protestant Confederates in 1531. The resulting Peace of Kappel rolled back the progress of reform and created a bi-confessional structure within the Confederation. The Catholic cantons formed a majority but they were countered by the powerful Reformed cities of Zurich, Basel, Bern and Schaffhausen. Through the second half of the century these cities allied with Geneva and developed a strong Swiss Reformed identity in response to both German Lutherans and the Tridentine Catholicism that spread from Italy. Confessional tensions were particularly marked in areas jointly governed by Protestant and Catholic members of the Confederation, but competing religious loyalties were never strong enough to overcome their shared political identity as Swiss.

Introduces the concepts of hydrodynamic mass and damping, and shows how the inertia, damping and restoring matrices may be established for a six-degrees-of-freedom floating structure built from vertical columns and horizontal pontoons. Also, the computation of mass and damping matrices and wave loading general body shapes are addressed. How cancellation of wave loads may be obtained is demonstrated. The restoring effect of mooring lines is discussed, including frequency-dependent stiffness. Finally, control issues that are particular to floating wind turbines are discussed.

The subject is the key and dramatic ritual of the stational Mass. This was undertaken in Rome through the year, involving a lavish procession to a given church in the city, where Mass was performed by the Pope. Many ordines address the stational system, showing it to be a subject of keen interest to the Frankish redactors of such texts. It is revealed how the Franks carefully and thoughtfully distinguished the rituals that were special to the Pope, as they appropriated and refashioned papal rites. A discussion of several Carolingian reworkings of the stational system is discussed, and the ubiquity of this form of appropriation, not only in cities but also monasteries that became the image of the city of Rome during this ritual, is firmly established.

From the ambitious Mass in E-flat, op. 5 (1890) through Pax nobiscum (1944), choral music played an ongoing role in Amy Beach’s creative life. The works are stylistically varied, ranging from typical Victorian harmonies and textures in the early works, through sacred anthems and services inspired by Anglican choral traditions during her middle period, and finally to spare, harmonically experimental late works. Her most important secular choral works were written during the years of her marriage, when she was also composing her major instrumental works. After the death of her husband in 1910, she turned increasingly to religion for solace and inspiration, finding a spiritual home in the Episcopal Church. Her association with St. Bartholomew’s Church in New York and its music director, David McKay Williams, proved crucial in shaping the music of her later years. The Canticle of the Sun, op. 123 (1924) was exemplary of the sacred choral works that were her most performed compositions in later years.

The widespread adoption of social media, mobile phones, and online dating apps has drawn more attention toward the importance of media technologies in romantic relationships. However, most observed relational functions and effects of digital media are not novel. Rather, they have been documented previously with traditional media such as books, letters, radio, newspapers, recorded music, television, and the telephone. Romantic relational phenomena manifest across both traditional and digital media due to similar affordances. This chapter provides an overview of research on traditional media across relational processes (mate seeking, relationship initiation, relationship escalation, relationship maintenance, relationship disruption, and relationship dissolution), identifying key social affordances, and introducing relevant theories. We discuss how people use media in relationships, how media consumption affects our relationships, and how people foster relationships with media characters (i.e., parasocial relationships).

This chapter explains how we can reconcile massive particles within a gauge symmetry. The notion of spontaneous symmetry breaking is introduced, first in a simple model and then with the gauge group of the Standard Model. The Brout–Englert–Higgs mechanism is then presented in detail. The rest of the chapter is devoted to the experimental discovery of the Higgs boson and its properties with the most up-to-date experimental measurements.

Measurement is an aspect of the mathematics curriculum that has wide usage in everyday life. A basic level of knowledge, skills and confidence in measurement is very much part of being numerate. An analysis of the measuring process suggests that children learn to measure first by becoming aware of the physical attributes of objects and how they compare with other objects. Estimation is a significant aspect of measurement and should be seen as an integral part of the measurement process. The ability to estimate is enhanced when students have strong spatial awareness and are able to visualise and represent measurement situations in their heads. Students therefore need to be given plenty of opportunities to engage in measurement activities that focus on developing a sound understanding of the attribute being measured, along with the act of measuring.

The primary assumptions and formulations for single-phase flow regimes are reviewed in this chapter. This includes the governing partial differential equations for general fluid dynamics (mass, momentum, energy, and species), equations of state and associated flow regimes, rotational effects and the stream function for incompressible flow, and viscous effects with the Reynolds number, including flow instability mechanisms.

One of the problems with the concept of spacetime is that it is hard for us to actually appreciate the implications of living in a curved spacetime, and the origin of this difficulty is that our local spacetime is essentially flat! Hence, all of our understanding of physics – of 'how things work' – has been built on the basis of perceptions that take place in almost flat spacetime. This chapter will provide a pragmatic approach to the measurement of spacetime by illustrating how it is actually not too difficult to obtain an estimate of local curvature by using simple physical quantities, such as the mass and the size of the object. In this manner, we will be able to appreciate that the curvature on Earth is only a few parts in a billion, hence explaining why we perceive everything in the actual absence of curvature. we will learn how to actually bend spacetime reaching the extreme values that are encountered near a neutron star and a black hole, both of which will be discussed more in detail in the following chapters.

Having described motion, we can now explain it. We introduce the conserved 4-momentum, and with it the ideas of energy-momentum, conserved mass, and scattering.

The Dominicans arrived in England in 1221 and established their first community in Oxford, followed in quick succession by houses in towns and cities across England, Ireland, Scotland, and Wales, which together formed the English Province of the Order. The first part of this chapter charts the spread of the Dominican Order in medieval Britain and Ireland and then surveys the extant liturgical books from the region. While only a handful survive, many supply the Gospel lections read at Mass; thus, the final part of this chapter explores the liturgical identity of the Dominican Order through a study of its Gospel lections. This reveals that the Dominican choice of Gospel lections in Britain and Ireland was largely in line with that of their Continental counterparts; nonetheless, local sanctoral feasts were added to the margins of books used for the public recitation of the Gospels, showing some adaptation for local needs.