In addition, it would be difficult to imagine chronic generalized emphysema occurring in a cow, considering its marked lobular development but, conversely, not difficult to imagine this occurring in the horse or the dog.

The meaning was eventually further generalized in its modern English usage to apply to any outrageous act or exhibition of pride or disregard for basic moral laws.

During the Cenozoic, mammals proliferated from a few small, simple, generalized forms into a diverse collection of terrestrial, marine, and flying animals, giving this period its other name, the Age of Mammals, despite the fact that birds still outnumbered mammals two to one.

Some authors also require the domain of the Euclidean function be the entire ring R ; this can always be accommodated by adding 1 to the values at all nonzero elements, and defining the function to be 0 at the zero element of R, but the result is somewhat awkward in the case of K. The definition is sometimes generalized by allowing the Euclidean function to take its values in any well-ordered set ; this weakening does not affect the most important implications of the Euclidean property.

The puzzle was originally proposed in 1848 by the chess player Max Bezzel, and over the years, many mathematicians, including Gauss, have worked on this puzzle and its generalized n-queens problem.

* Like most means, the generalized mean is a homogeneous function of its arguments.

The symptoms of generalized hypoxia depend on its severity and acceleration of onset.

The term " harmonics " originated in physical eigenvalue problems, to mean waves whose frequencies are integer multiples of one another, as are the frequencies of the harmonics on stringed musical instruments, but the term has been generalized beyond its original meaning.

A distinction, albeit not universally accepted, of sampling bias is that it undermines the external validity of a test ( the ability of its results to be generalized to the rest of the population ), while selection bias mainly addresses internal validity for differences or similarities found in the sample at hand.

Linear algebra first took its modern form in the first half of the twentieth century, when many ideas and methods of previous centuries were generalized as abstract algebra.

As in Lagrangian mechanics, if a generalized coordinate does not appear in the Hamiltonian, its conjugate momentum component is conserved.

Nial uses a generalized and expressive Array Theory in its Version 4, but sacrificed some of the generality of functional model, and modified the Array Theory in the Version 6.

For any generalized parabola, with its equation given in the standard form

The idea of the phenotype has been generalized by Richard Dawkins in The Extended Phenotype to mean all the effects a gene has on the outside world that may influence its chances of being replicated.

In its accounts of processes, generalized or extended thermodynamics admits time as a fundamental quantity in a more far-reaching way than does local equilibrium thermodynamics.

The generalized principle of least time in its modern form was stated by Fermat in a letter dated January 1, 1662, to Cureau de la Chambre.

The more complex generalized forms of Ohm's law are important to condensed matter physics, which studies the properties of matter and, in particular, its electronic structure.

Anxiety disorder is divided into generalized anxiety disorder, phobic disorder, and panic disorder ; each has its own characteristics and symptoms and they require different treatment ( Gelder et al.

Even though this artists ' quarter of Montmartre was characterized by generalized poverty, Modigliani himself presented — initially, at least — as one would expect the son of a family trying to maintain the appearances of its lost financial standing to present: his wardrobe was dapper without ostentation, and the studio he rented was appointed in a style appropriate to someone with a finely attuned taste in plush drapery and Renaissance reproductions.

Due to the variety of applications of Socionics, its concepts and information models, in the 90 years of the 20th century, it was proposed to distinguish Socionics of personality, or differential socionics, and generalized, more abstract integral Socionics.

: A system is in mechanical equilibrium if its position in configuration space is a point at which the gradient with respect to the generalized coordinates of the potential energy is zero.

Nestedness, for example, is defined as " a pattern of interaction in which specialists interact with species that form perfect subsets of the species with which generalists interact ", "— that is, the diet of the most specialized species is a subset of the diet of the next more generalized species, and its diet a subset of the next more generalized, and so on.

In the theory of general relativity, the concept of causality is generalized in the most straightforward way: the effect must belong to the future light cone of its cause, even if the spacetime is curved.

In fact, little knowledge about cannabis was generalized, with many likening its effects to those produced by opium, and also considered to be immensely addictive in similar levels.

`` We the people of the Confederate States, each state acting in its sovereign and independent character, in order to form a permanent federal government, establish justice, insure domestic tranquility, and secure the blessings of liberty to ourselves and our posterity -- invoking the favor and the guidance of Almighty God -- do ordain and establish this Constitution for the Confederate States of America ''.

But the highroad, according to the description of its traffic, belongs to life as it is lived in unawareness of death, while the way to the churchyard belongs to some other sort of life: a suffering form, an existence wholly comprised in the awareness of death.

And if I have gone into so much detail about so small a work, that is because it is also so typical a work, representing the germinal form of a conflict which remains essential in Mann's writing: the crude sketch of Piepsam contains, in its critical, destructive and self-destructive tendencies, much that is enlarged and illuminated in the figures of, for instance, Naphta and Leverkuhn.

All such imitations of negative quality have given rise to a compensatory response in the form of a heroic and highly individualistic humanism: if man can neither know nor love reality as it is, he can at least invent an artistic `` reality '' which is its own world and which can speak to man of purely personal and subjective qualities capable of being known and worthy of being loved.

Whitehead contends that the human way of understanding existence as a unity of interlocking and interdependent processes which constitute each other and which cause each other to be and not to be is possible only because the basic form of such an understanding, for all its vagueness and tendency to mistake the detail, is initially given in the way man feels the world.

But while the corporation has all the disadvantages of the socialist form of organization ( so cumbersome it cannot constructively do much of anything not compatible with its need to perpetuate itself and maintain its status quo ), unluckily it does not have the desirable aspect of socialism, the motivation to operate for the benefit of society as a whole.

The second involves something deeper, but its characteristic form focuses on a shift in policy for the community, not in the truth on which the community rests.

Its ontological status is itself most tenuous because apart from individual men, who are its `` matter '', tradition, the `` form '' of society exists only as a shared perception of truth.

Moreover its posture of stubborn but simple resistance is doomed to failure because of the metaphysical weakness of the existent form of order, once the activation of change has reached visible proportions.

In its dynamic form, it visualizes the community as the embodiment of an ontological force -- the race, for instance, which unfolds in history.

we accord it its place there, and in Lawrence's treatment we are given the innocent fantasy of a child, in fact, the form in which oedipal love is expressed in childhood.

But as he remarks in his preface to The Walnut Trees, `` a novel can hardly ever be rewritten '', and `` when this one appears in its final form, the form of the first part will no doubt be radically changed ''.

Even in its present form, however, the first part of Malraux's unrecoverable novel is among the greatest works of mid-twentieth century literature ; ;

This magnificent but greatly underestimated book, which bodies forth the very form and pressure of its time as no other comparable creation, has suffered severely from having been written about an historical event -- the Spanish Civil War -- that is still capable of fanning the smoldering fires of old political feuds.

Krim came to believe that `` the novel as a form had outlived its vital meaning ''.

Our comment was that this was `` featherbedding '' in its ultimate form and that sympathy for the railroad was misplaced since it had entered into such an agreement.

In presenting it to other governments and to the United Nations, we could propose that every nation consider the formation of its own peace corps and that the United Nations sponsor the idea and form an international coordinating committee.

It stood in its original form until 1882.

`` When working from one of my sketches I square it up and project its linear form freehand to the watercolor sheet with charcoal.

Or, equally often, a concretistic-seeming, particularistic-seeming statement may consist, with its mundane exterior, in a form of poetry -- may be full of meaning and emotion when interpreted as a figurative expression: a metaphor, a smile, an allegory, or some other symbolic mode of speaking.

Hence, when the address Af is computed from Af, the cell Af and all Y-cells in its chain must be inspected to determine whether Af is already in the form list or whether it should be added to the form list and the chain.

Applying the techniques developed at Harvard for generating a paradigm from a representative form and its classification, we can add all forms of a word to the dictionary at once.