The transformation scene centers on the dog, which always catches its quarry, and the uncatchable fox ; Jupiter turns them into stone.

The transformation of Phobos into a second sun has similarities to what is done to Jupiter in Clarke's novel 2010: Odyssey Two.

Once Discovery had been reached and HAL reactivated, Floyd was warned by David Bowman ( who was now an incorporeal being ) to leave the Jovian system in preparation for the transformation of Jupiter into a mini-sun.

The process of erosion need only undermine the tradition and a series of consequences begin unfolding within the individual, while in institutions a quiet but deep transformation of processes occurs.

When rapidly cooled, a diffusionless ( martensite ) transformation occurs, in which the carbon atoms become trapped in solution.

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.

Times in life when this metaplasia of the transformation zone occurs:

Transubstantiation is the term used by Roman Catholics to denote what is changed, not to explain how the transformation occurs, since the Catholic Church teaches that " the signs of bread and wine become, in a way surpassing understanding, the Body and Blood of Christ ".

When the transformation occurs at constant pressure:

Punctuated equilibrium is commonly contrasted against the theory of phyletic gradualism, which states that evolution generally occurs uniformly and by the steady and gradual transformation of whole lineages ( called anagenesis ).

Superconductivity disappears at x ≈ 0. 6, where the structural transformation of YBCO occurs from orthorhombic to tetragonal.

A dramatic morph transformation occurs changing his uniform from medical blue to command red, his rank pips subsequently appearing.

# Hess ' law ( 1840 ): The energy change accompanying any transformation is the same whether the process occurs in one step or many.

Other fourth-century Christian writers say that in the Eucharist there occurs a " change ", " transelementation ", " transformation ", " transposing ", " alteration " of the bread into the body of Christ.

While major questions still surround the biochemical pathway for the transformation of vitamin K < sub > 1 </ sub > to MK4, studies demonstrate the conversion is not dependent on gut bacteria, as it occurs in germ-free rats and in parenterally-administered K < sub > 1 </ sub > in rats.

Cancer occurs when normal cells undergo a transformation that causes them to grow and multiply without the normal controls.

The measurement of the external conditions at which the transformation occurs is termed the phase transition point.

* The martensitic transformation which occurs as one of the many phase transformations in carbon steel and stands as a model for displacive phase transformations.

The scriptures warn that unless this spiritual transformation occurs, the union is carnal and sinful.

Scholars have also discussed “ constitutional transformation … occurs when a constitutional provision has lost its effectiveness but has been replaced by a new meaning .” The Liberal Democratic Party has interpreted Article 9 as renouncing the use of warfare in international disputes but not the internal use of force for the purpose of maintaining law and order.

This transformation occurs in the first few hundred meters of burial and results in the creation of two primary products: kerogens and bitumens.

When the edge cools fast, a diffusionless transformation occurs, turning the edge into very hard martensite.

A similar metaphoric transformation of the term " Zion " occurs in the modern Latter Day Saint movement, originating in the United States in the 1830s.

The decline in death rate and birth rate that occurs during the demographic transition leads to a radical transformation of the age structure.

In many magnetic alloys, the Curie point, the temperature at which magnetic materials cease to behave magnetically, occurs at nearly the same temperature as the austenite transformation.

This may be a just punishment, the nature of the transformation matching the crime for which it occurs ; in other cases, the form is unjustly imposed by an angry and powerful person.

Fragmentation causes land transformation, an important process in landscapes as development occurs.

The transform is sometimes denoted by the symbol, as in or or < ref group =" note "> As a linear transformation on a finite-dimensional vector space, the DFT expression can also be written in terms of a DFT matrix ; when scaled appropriately it becomes a unitary matrix and the X < sub > k </ sub > can thus be viewed as coefficients of x in an orthonormal basis .</ ref >

With unitary normalization constants, the DFT becomes a unitary transformation, defined by a unitary matrix:

which defines a coordinate transformation such that the interior of the Earth becomes " exterior " and the exterior becomes " interior ".

* 1985 – Sandinista Daniel Ortega becomes president of Nicaragua and vows to continue the transformation to socialism and alliance with the Soviet Union and Cuba ; American policy continues to support the Contras in their revolt against the Nicaraguan government.

The process of the Abel transformation is similar, since one of the two initial sequences is summed ( becomes ) and the other one is differenced ( becomes ).

The positional style merely prepares the transformation to a combination when the latter becomes feasible .”

This originates the development of a commercial area and from this becomes the transformation of the Plaza Mayor or plaza de Caycedo.

The symmetry is spontaneously broken as when the Hamiltonian becomes invariant under the inversion transformation, but the expectation value is not invariant.

As a consequence, in the specific case in which S ≡ O, the homothety becomes a linear transformation, which preserves not only the collinearity of points ( straight lines are mapped to straight lines ), but also vector addition and scalar multiplication.

If he eats lots of bananas in one sitting, he quickly becomes obese in his transformation ; if he eats bananas that are not full, he transforms with extra weight in the lower part of his body.

Second, suppose η: F → G is a natural transformation from the left exact functor F to the left exact functor G. Then natural transformations R < sup > i </ sup > η: R < sup > i </ sup > F → R < sup > i </ sup > G are induced, and indeed R < sup > i </ sup > becomes a functor from the functor category of all left exact functors from A to B to the full functor category of all functors from A to B.

Otherwise the sudden transformation which took place from the tribal and communal organization of the people, which still existed in the second half of the eighth century, to the militaristic structure of society with a strong princely power, as is known to have existed in the ninth century, becomes almost unaccountable.

Although a translation is a non-linear transformation in a 2-D or 3-D Euclidean space described by Cartesian coordinates, it becomes, in a 3-D or 4-D projective space described by homogeneous coordinates, a simple linear transformation ( a shear ).

There is no longer a distinction between nominative and oblique forms of nouns, and plurals are indicated simply with an s. This transformation necessitates an increased reliance on the order of words in the sentence, which becomes more or less the syntax of modern French ( although there is a continued reliance on the verb in the second position of a sentence, or " verb-second structure ", until the 16th century ).

In this technique, the viewing transformation is transformed such that the nearest face of the volume becomes axis aligned with an off-screen image buffer with a fixed scale of voxels to pixels.

It will remain only " until the armed struggle becomes an absurdity and an obstacle for the revolutionary transformation of our country.

This is because, in many cases, the Killing form can be used as a metric tensor on a manifold, in which case the distinction becomes an important one for the transformation properties of tensors.

It becomes a gorilla through an unorthodox method of transformation and is armed with an energy-shuriken, which can store in Primal's hip, or be launched from the hand of his spring-loaded arm.

the same transformation with u and v becomes

In steel alloyed with metals such as nickel and manganese, the eutectoid temperature becomes much lower, but the kinetic barriers to phase transformation remain the same.

When the iron or steel is cooled rapidly by quenching, the higher carbon content on the outer surface becomes hard via the transformation from austenite to martensite, while the core remains soft and tough as a ferritic and / or pearlite microstructure.