Evaluating the objective at these points, we find

Evaluating J at the second fixed point we get

Evaluating we obtain

Evaluating the function and its first two derivatives at, we obtain the following data:

Evaluating Collins ' approach, he considers " the wide geographical spread from which the material comes and the implicit assumption that linguistic developments would have occurred uniformly throughout this area " a weakness and concludes, " The character of the Hebrew and Aramaic could support a date in the fifth or fourth century for the extant written form of the book, but does not demand a second-century date.

Evaluating the client, preparing for testimony, and the testimony itself require the forensic psychologist to have a firm grasp of the law and the legal situation at issue in the courtroom, using the Crime Classification Manual and other sources.

# Evaluating Alternative Policies – Biofuels are an alternative motor vehicle fuel produced from biological material and are promoted as a transitional step until more advanced technologies have matured.

Students enrolled in the program must have graduated from a CCAPP ( Canadian Council for Accreditation of Pharmacy Programs ) or an ACPE ( Accreditation Council for Pharmacy Education ) school with an accredited teaching program or must have passed the PEBC ( Pharmacy Examining Board of Canada ) Evaluating and Qualifying examinations.

A formal quotient of polynomials, that is, an algebraic fraction where the numerator and denominator are polynomials, is called a " rational expression " or " rational fraction " and is not, in general, a polynomial.

A fraction is a division expression where both dividend and divisor are integers ( although typically called the numerator and denominator ), and there is no implication that the division must be evaluated further.

That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other.

In each case, however, if the limits of the numerator and denominator are evaluated and plugged into the division operation, the resulting expression is 0 / 0.

The numerator is the difference between the maximum likelihoods of the two models, corrected for the number of coefficients analogous to the BIC, the term in the denominator of the expression for Z,, is defined by setting equal to either the mean of the squares of the pointwise log-likelihood ratios, or to the sample variance of these values, where

It removes our present expression and shows that the badness we meant would not be affected by this, whereas on positivist grounds it should be.

To solve this instance of the decision problem we must determine whether there is a truth value ( TRUE or FALSE ) we can assign to each of the variables ( x < sub > 1 </ sub > through x < sub > 4 </ sub >) such that the entire expression is TRUE.

If we take the congruence modulo for the right-hand-side expression, it is readily seen that

Edward Gibbon, in his classic The History of the Decline and Fall of the Roman Empire, discusses the topic in considerable detail in his famous Chapter Fifteen, summarizing the historical causes of the early success of Christianity as follows: "( 1 ) The inflexible, and, if we may use the expression, the intolerant zeal of the Christians, derived, it is true, from the Jewish religion, but purified from the narrow and unsocial spirit which, instead of inviting, had deterred the Gentiles from embracing the law of Moses.

* It is a medium of human expression, i. e., a language in which we say things about the world.

From the variables defined above, we find two other common expression for the value produced during a given period as:

He first argues that every expression has a single meaning ( otherwise we could not communicate with one another ).

By using the streamwise vector i parallel to the freestream in place of k in the integral, we obtain an expression for the pressure drag D < sub > p </ sub > ( which includes induced drag in a 3D wing ).

“ Now let us understand the exact meaning of the expression historical Judaism … Looking at Judaism from a historical point of view, we become convinced that there is no one aspect deep enough to exhaust the content of such a complex phenomenon as Judaism … Accordingly, Torah-less Judaism … would be an entirely new thing and not the continuation of something given …

" Blackmore meets such criticism by stating that memes compare with genes in this respect: that while a gene has no particular size, nor can we ascribe every phenotypic feature directly to a particular gene, it has value because it encapsulates that key unit of inherited expression subject to evolutionary pressures.

Thus, we should amend the expression given above into: Metallic bonding is an extremely delocalized communal form of electron deficient covalent bonding.

Having calculated the parenthetical part of the expression, we start over again beginning with the left most value and move right.

The first ( and only ) expression we come across that is expressed with an exponent is 2 < sup > 2 </ sup >.

What we have left is the expression

At the same time we adopt the principle: not to employ any of the other expression of the discipline under consideration, unless its meaning has first been determined with the help of primitive terms and of such expressions of the discipline whose meanings have been explained previously.

The practitioners of strict rational choice theory never investigate the origins, nature, or validity of human motivations ( why we want what we want ) but instead restrict themselves to examining the expression of given and inexplicable wants in specific social or economic environments.

Finally, plugging in the previously derived expression for the impact parameter we find the Rutherford scattering cross section

If the bias is small, we can let U − E ≈ φM in the expression for κ, where φM, the work function, gives the minimum energy needed to bring an electron from an occupied level, the highest of which is at the Fermi level ( for metals at T = 0 kelvins ), to vacuum level.

If the verbal expression of modality involves inflection, we have the special case of mood ; moods include the indicative ( as in " I am there "), the subjunctive ( as in " I wish I were there "), and the imperative (" Be there!

Now, if we wish to maintain the notion of a convected density, then we must generalize the Schrödinger expression of the density and current so that the space and time derivatives again enter symmetrically in relation to the scalar wave function.

Everything is compatible with relativity now, but we see immediately that the expression for the density is no longer positive definite-the initial values of both ψ and ∂< sub > t </ sub > ψ may be freely chosen, and the density may thus become negative, something that is impossible for a legitimate probability density.

From the expression for the Debye frequency for ν, we have

I have chosen to use the word `` mimesis '' in its Christian rather than its classic implications and to discover in the concrete forms of both art and myth powers of theological expression which, as in the Christian mind, are the direct consequence of involvement in historical experience, which are not reserved, as in the Greek mind, only to moments of theoretical reflection.

While `` better late than never '' may have certain merits, the posthumous award of the Nobel Prize for Peace to the late Dag Hammarskjold strikes me as less than a satisfactory expression of appreciation.

Here he would have free expression because the material could be moved to distort forms.

this is a question which I have no wish to take up -- condensation is a phenomenon in which one finds not a condensed expression of various feelings and ideas which are, at an unconscious level, well sorted out, but rather a condensed expression of feelings and ideas which, even in the unconscious, have yet to become well differentiated from one another.

The absence, during her childhood and early adolescence, of experiences in developing the self-discipline to complete tasks within her ability -- experiences that would have been subsequent sources of anticipation of achievement -- and her lack of childhood opportunities to practice autonomy and initiative in play and expression, both tend in her adolescence to deprive her of the freedoms to role-experiment and to fail occasionally in experimenting.

The diffusion is most pronounced and most likely to become fixed, however, in those who have had no or very minimal opportunities to develop the autonomy and initiative that could have been directed into constructive expression and so served as sources of developing self-certainty.

Nowhere have I seen public expression of anti-Catholicism.

But, in spite of all this, enough evidence remains to show that the magic square of three must indeed have been the object of a rather extensive cult -- or series of cults -- reaching fullest expression in the Han period.

All this emphasis on Centrality and on the number 5 as a symbolic expression of the Center, which seems to have begun as far back as 400 B.C., also may conceivably have led to the development of the Five-Elements School and the subsequent efforts to fit everything into numerical categories of five.

Many definitions of art have been proposed by philosophers and others who have characterized art in terms of mimesis, expression, communication of emotion, or other values.

Limited possibilities have been explored by artists as an outlet to artistic expression, and has been cultivated to become a positive style and tradition, emphasizing the decorative function of art, or its religious functions via non-representational forms such as Geometric patterns, floral patterns, and arabesques.

For example, his engraving of The Last Supper of 1523 has often been understood to have an evangelical theme, focussing as it does on Christ espousing the Gospel, as well the inclusion of the Eucharistic cup, an expression of Protestant utraquism, although this interpretation has been questioned.

Anything that partakes in being is also called a " being ", though often this use is limited to entities that have subjectivity ( as in the expression " human being ").

Many western human rights groups state that civil rights and free expression are severely limited in Belarus, though there are some individuals and groups that refuse to be controlled and some journalists have disappeared.

Although OBP and SLG have different denominators, it is possible to rewrite the expression for OPS using a common denominator.

In 2001, Bt176 varieties were voluntarily withdrawn from the list of approved varieties by the United States Environmental Protection Agency ( EPA ) when it was found to have little or no Bt expression in the ears and was not found to be effective against second generation corn borers.

The letters, part of a larger and somewhat one-sided correspondence in which Heger frequently appears not to have replied, reveal she had been in love with a married man, although they are complex and have been interpreted in numerous ways, including as an example of literary self-dramatisation and an expression of gratitude from a former pupil.

Researchers have discovered a complex cascade of regulatory proteins controls expression of V. cholerae virulence determinants.