A fourth view is the transformation of emotion, as in Housman's fine phrase on the arts: they `` transform and beautify our inner nature ''.

Clearly, the transformation is involutorial.

Moreover, from the definitive transformation of intercepts on the generators of Af, it is clear that the only points of Q at which a line can meet its image are the points of Aj.

Now consider the transformation of the lines of a bundle with vertex, P, on **zg which is effected by the involution as a whole.

the way in which the transformation of state depends on the operating variables for the main types of reactors is discussed in the next chapter.

He recognized that whatever transformation may be effected in the first stage of an R-stage process, the remaining stages must use an optimal Af-stage policy with respect to the state resulting from the first stage, if there is to be any chance of optimizing the complete process.

This transformation is uniquely determined by Af and we therefore speak of the process as deterministic.

The whole role, by the way, is a considerable transformation for anyone who has seen Seigner in his other parts.

According to Cauchy's functional equation theorem, the logarithm is the only continuous transformation that transforms real multiplication to addition.

To avoid attacks based on simple algebraic properties, the S-box is constructed by combining the inverse function with an invertible affine transformation.

Bruce Hindmarsh suggests that the secular popularity of " Amazing Grace " is due to the absence of any mention of God in the lyrics until the fourth verse ( by Excell's version, the fourth verse begins " When we've been there ten thousand years "), and that the song represents the ability of humanity to transform itself instead of a transformation taking place at the hands of God.

James Basker also acknowledged this force when he explained why he chose " Amazing Grace " to represent a collection of anti-slavery poetry: " there is a transformative power that is applicable ...: the transformation of sin and sorrow into grace, of suffering into beauty, of alienation into empathy and connection, of the unspeakable into imaginative literature.

A transformation of a thermodynamic system can be considered adiabatic when it is quick enough that no significant heat is transferred between the system and the outside.

At the opposite extreme, a transformation of a thermodynamic system can be considered isothermal if it is slow enough so that the system's temperature remains constant by heat exchange with the outside.

The shift in Aalto's design approach from classicism to modernism is epitomised by the Viipuri Library ( 1927 – 35 ), which went through a transformation from an originally classical competition entry proposal to the completed high-modernist building.

Some theories connect these flows directly, implying that there is significant upwelling of dense deep waters within the Southern Ocean, transformation of these waters into light surface waters, and a transformation of waters in the opposite direction to the north.

This is because such flows can produce a net southward flow in the troughs and a net northward flow over the ridges without requiring any transformation of density.

Skewing is an example of a transformation not usually considered.

This gradual transformation is an important consideration when studying the properties of elemental berkelium and its chemical compounds, since the formation of californium brings not only chemical contamination, but also self-radiation damage, and self-heating from the emitted alpha particles.

In linear algebra, a bilinear transformation is a binary function where the sets X, Y, and Z are all vector spaces and the derived functions f < sup > x </ sup > and f < sub > y </ sub > are all linear transformations.

The category of sets is closed monoidal, but so is the category of vector spaces, giving the notion of bilinear transformation above.

The transformation from the stalemate of the First World War into tremendous initial operational and strategic success in the Second, was partly the employment of a relatively small number of mechanised divisions, most importantly the Panzer divisions, and the support of an exceptionally powerful air force.

While most elements are generally viewed as stable, a small amount of natural transformation of one element to another also occurs in the present time, through decay of radioactive elements as well as other natural nuclear processes.

However, all this metaplasia does increase the risk of cancer in this area-the transformation zone is the most common area for cervical cancer to occur.

In chemical thermodynamics the term used for the chemical potential energy is chemical potential, and for chemical transformation an equation most often used is the Gibbs-Duhem equation.

Uncurrying is the reverse transformation, and is most easily understood in terms of its right adjoint, apply.

The most famous was The Merzbau, the transformation of six ( or possibly more ) rooms of the family house in Hannover, Waldhausenstrasse 5.

Though there is a tendency for the most important carnivorous animal of the area to take the first place in stories and beliefs as to transformation, the less important beasts of prey and even harmless animals like the deer or rabbit also figure prominently among the were-animals.

The most well-known example is the transformation of < CODE > let </ CODE > into the application of a function to a set of arguments.

Full preterism is sometimes viewed as heretical, based upon the historic creeds of the church ( which would exclude this view ), and also from Biblical passages that condemn a past view of the Resurrection or the denial of a physical resurrection or transformation of the body — doctrines which most Christians believe to be essential to the faith.

One of the oldest and most commonly used formulations is the " transformation theory " proposed by the late Cambridge theoretical physicist Paul Dirac, which unifies and generalizes the two earliest formulations of quantum mechanics-matrix mechanics ( invented by Werner Heisenberg ) and wave mechanics ( invented by Erwin Schrödinger ).

Golden age hip hop ( cited as either just the late ' 80s or the late 80s to early 90s ) was the time period where hip-hop lyricism went through its most drastic transformation – writer William Jelani Cobb says " in these golden years, a critical mass of mic prodigies were literally creating themselves and their art form at the same time " and Allmusic writes, " rhymers like PE's Chuck D, Big Daddy Kane, KRS-One, and Rakim basically invented the complex wordplay and lyrical kung-fu of later hip-hop ”.

Santiago's economy, although still heavily dependent in public administration ( headquarters of the autonomous government of Galicia ), cultural tourism and industry, an in its university, is becoming diversified in various sectors, most notably timber transformation ( FINSA ), automotive industry ( UROVESA ), and telecommunications and electronics ( Blusens and Televés ).

In other cases, the transformation was supposedly accomplished by Satanic allegiance for the most loathsome ends, often for the sake of sating a craving for human flesh.

The main werewolf of this film is a dapper London scientist who retains some of his style and most of his human features after his transformation, as lead actor Henry Hull was unwilling to spend long hours being made up by makeup artist Jack Pierce.

Such effects are most easily characterized in the form of a complex 2 × 2 transformation matrix called the Jones matrix:

Other social theories point out that in Britain and most countries since the 18th century, the transformation of societies from rural agriculture to industry caused a difficult adaptation to urban living.

The financial system in most western countries has undergone a remarkable transformation.

Upon the Killik's invasion of Chiss space and the transformation of most of the Myrkr mission survivors into Killik Joiners, Luke determines that the Killik's collective mind is being unconsciously controlled by a hive called the Dark Nest.

The young, flawed, and brooding antihero Spider-Man became the most widely imitated archetype in the superhero genre since the appearance of Superman and Batman .— Bradford W. Wright, Comic Book Nation: The transformation of Youth Culture in America 212 — Superman on the Couch by Danny Fingeroth 151

Business model innovation and transformation is the most prominent, especially during challenging economic times.

* One of three demon gods in the game Shadow Hearts Covenant ; also the second most powerful transformation in both Shadow Hearts and Shadow Hearts Covenant

In diploid organisms, which contain two alleles for most genes, and may as well contain several related genes that collaborate in the same role, additional rounds of transformation and selection are performed until every targeted gene is knocked out.

By the 1980s the area had undergone a further transformation, becoming the centre for the gentrification of most of the surrounding area.

The est Training presented several concepts, most notably the concept of transformation and taking responsibility for one's life.