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.

Let us now imagine a Lorentz transformation to have been performed on the space and time coordinates, and on the derivative operators, which form a covariant vector.

The soundtrack features music and imagined dialogue scripted by Greenaway for the 126 " wedding guests, servants, onlookers and wedding crashers " depicted in the painting, consisting of small talk and banal chatter that culminates in reaction to the miraculous transformation of water to wine, according to the Gospels the first miracle performed by Jesus.

A scaling transformation is performed by multiplying the position of a vertex by a scalar value.

Finally, in 1930, the operation which he himself had attempted at the age of six was performed upon him, that is, the removal of his penis, and six months afterwards the transformation was completed by the grafting of an artificial vagina.

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.

The default engine uses a software renderer in which the perspective transformation for texture mapping is only performed once every 32 pixels, causing textures to appear to pop or shift when viewed from certain angles.

For example, Make could be used to detect a change made to an image file ( the source ) and the transformation actions might be to convert the file to some specific format, copy the result into a content management system, and then send e-mail to a predefined set of users that the above actions were performed.

This transformation is performed by the rotation operator

Physically meaningful observables must also satisfy transformation laws which relate observations performed by different observers in different frames of reference.

Mayer not only performed this demonstration, but determined also the quantitative factor of the transformation, calculating the mechanical equivalent of heat.

Then successive Householder transformation of size are performed in order to return the working matrix to upper Hessenberg form.

This transformation emphasizes the fact that the OHMR consists of a willing, all-volunteer organization that can assume duties normally performed by uncoordinated and unorganized volunteers during natural disasters and other contingencies.

The kidney cells were originally cultured by van der Eb himself ; the transformation by adenovirus was performed by Frank Graham in van der Eb's lab and were published in the late 1970s after Graham left Leiden for McMaster University in Canada.

Mythic enactments corresponding to a needed transformation may also be performed.

Mythic enactments corresponding to a needed transformation may also be performed.

The transformation in the original specials was performed by fading between two synchronized shots, both filmed with an overcranked camera to create a slow motion effect.

Each task defines a work item to be performed as part of the data movement and data transformation process or as a job to be executed.

A rotation is a transformation that is performed by " spinning " the object around a fixed point known as the center of rotation.

* In the 19th century, until the 1880s, pantomimes typically included a transformation scene in which a Fairy Queen magically transformed the pantomime characters into the characters of the harlequinade, who then performed the harlequinade.

Depending on the microphone model, this transformation can be performed in either hardware or software.

John extends an offer of friendship, and the Chief Blue Meanie has a change of heart ( partly due to the " transformation magic " performed by Jeremy ) and accepts.