These two were going to be easy pickins.

These songs ( practically all Persian music, for that matter ) are limited to a range of two octaves.

These ways are absolutely irreconcilable because they offer two different recipes for man's redemption from chaos.

These illiterate boors conscripted from villages all across the Czarina's empire had, Suvorov may have told Lewis, just two things a commander could count on: physical fitness and personal courage.

These shifts in alliance and allegiance not only increased the difficulties confronting the English embassy as a whole, but also directly involved the two Savoyards, Amadee and Othon.

These seem about the only two ways in which the `` unhappy incident '' can now be closed.

These would be two human beings, whom God had chosen.

These data lead to a structure in which sheets of Cr atoms lie between two sheets of O atoms.

These two pieces of information for each dictionary form that is matched by a text form constitute the table of dictionary usage.

These two steps essentially complete the lookup operation.

) These general facts are mentioned to make clear that the total situation in the two families is similar enough to warrant comparison.

These two recollections form the frame around a series of experiences and sights which, to me at least, symbolize the extremes in the aesthetic as well as ethical conflict between materialism and humanism.

These two values and the rake angle **yc are sufficient to determine the other parameters of these relationships.

These two basic malformations have, of course, many variations.

These two walks take you through the heart of Rome.

These, he said, are `` two of the principal underlying causes for family breakups leading to ADC ''.

These were the last two days set aside by the board for hearing appeals.

These two, Heritage and Drexel, chose too not to produce the exactly matching design for every piece, but a collection of correlated designs, each of which could stand alone.

These two aspects of death cannot be successfully separated, but they dare not be confused or identified.

These are then mixed by their sound engineers with the active co-operation of the musical staff and combined into the final two channels which are impressed on the record.

These two defunct phyla were the Myxomycota ( i. e., plasmodial slime molds, now classified in the taxon Myxogastria ), and Acrasiomycota ( i. e. cellular slime molds, now divided into the taxa Acrasida and Dictyosteliida ).

These two phyla use amoeboid movement in their feeding stage.

These form thirteen established families ( plus perhaps Shompen, which is poorly attested, as a fourteenth ), which have traditionally been grouped into two, as Mon – Khmer and Munda.

These controversies have generally been of two types: liturgical and social.

These latter two became the determining forces of Chinese thought until the introduction of Buddhism.

These theorems are also equivalent to the unitary condition below.

These experiments are used to prove, verify, and reinforce laws and theorems such as Ohm's law, Kirchhoff's laws, etc.

These assumptions are the elementary theorems of the particular theory, and can be thought of as the axioms of that field.

" These theorems along with their alternative postulates, such as Playfair's axiom, played an important role in the later development of non-Euclidean geometry.

These include theorems about compactness of certain spaces such as the Banach – Alaoglu theorem on the compactness of the unit ball of the dual space of a normed vector space, and the Arzelà – Ascoli theorem characterizing the sequences of functions in which every subsequence has a uniformly convergent subsequence.

These theorems, strictly speaking, prove that there is at least one non-spacelike geodesic that is only finitely extendible into the past but there are cases in which the conditions of these theorems obtain in such a way that all past-directed spacetime paths terminate at a singularity.

These theorems opened the way for much more refined studies: of embedding, immersion and also of smoothing: that is, the possibility of having various smooth structures on a given topological manifold.

These expressions are called axioms, in the case of those previously supposed to be true, or theorems, in the case of those derived.

These theorems apply to inviscid flows and flows where the influence of viscous forces is small and can be ignored.

These theorems have many important applications.

These concepts are dealt with by Norton's and Thévenin's theorems.

These equivalences immediately yield the Bott periodicity theorems.

These properties are essentially weaker versions of strong and supercompact cardinals, consistent with V = L. Many theorems related to these cardinals have generalizations to their unfoldable or strongly unfoldable counterparts.

These results are not equivalent theorems ; the Knaster – Tarski theorem is a much stronger result than what is used in denotational semantics.

These theorems provide a way to calculate limit loads without having to solve the boundary value problem in continuum mechanics.

These thinkers seem to have maintained a modified observational standpoint for the introduction of natural numbers, for the principle of complete induction < nowiki ></ nowiki > For these, even for such theorems as were deduced by means of classical logic, they postulated an existence and exactness independent of language and logic and regarded its non-contradictority as certain, even without logical proof.

These theorems illuminated the way that first-order logic behaves and established its finitary nature.

These convergence theorems can often be used to prove existence of harmonic functions having particular properties.

These appear as theorems VI and XI, respectively, in the paper.

These theorems can be proven using the orthogonality property.

These cases could be enunciated separately, were in a manner intermediate between theorems and problems, and were called " porisms.

These are colloquially known as the going-up and going-down theorems.

These theorems may be considered as simplifications of the Boltzmann result.