If ΔS and / or T are small, the condition ΔG < 0 may imply that ΔH < 0, which would indicate an exothermic reaction.

According to these models, a necessary ( but not sufficient ) condition for the occurrence of amorphous phases is that T < sub > h </ sub > has to be smaller than 0. 3, that is the deposition temperature must be below 30 % of the melting temperature.

< li > The keeping of the equus publicus ( a horse kept by patrician equestrian militia at public expense ) in bad condition .</ ol >

As terms of the form λ < sub > i </ sub > – ∑ ( multiples of other eigenvalues ) occurs in the denominator of the terms for the function h, the non-resonant condition is also known as the small divisor problem.

Of the many separation axioms that can be imposed on a topological space, the " Hausdorff condition " ( T < sub > 2 </ sub >) is the most frequently used and discussed.

This condition is the third separation axiom ( after T < sub > 0 </ sub > and T < sub > 1 </ sub >), which is why Hausdorff spaces are also called T < sub > 2 </ sub > spaces.

If I is ordered ( not simply partially ordered ) and countable, and C is the category Ab of abelian groups, the Mittag-Leffler condition is a condition on the transition morphisms f < sub > ij </ sub > that ensures the exactness of.

If the ranges of the morphisms of the inverse system of abelian groups ( A < sub > i </ sub >, f < sub > ij </ sub >) are stationary, that is, for every k there exists j ≥ k such that for all i ≥ j: one says that the system satisfies the Mittag-Leffler condition.

with the precise form of the T < sub > μν </ sub > following from the Ricci-flat condition on the five-dimensional space.

The firm then attempts to maximize profits in each segment by equating MR and MC ,< ref > Because MC is the same in each market segment the profit maximizing condition becomes produce where MR < sub > 1 </ sub >

In equilibrium these prices must equal the respective marginal costs MC < sub > 1 </ sub > and MC < sub > 2 </ sub >; remember that marginal cost equals factor ' price ' divided by factor marginal productivity ( because increasing the production of good by one very small unit through an increase of the employment of factor j requires increasing the factor employment by 1 / MP < sub > ji </ sub > and thus increasing the cost by w < sub > j </ sub >/ MP < sub > ji </ sub >, and through the condition of cost minimization that marginal products must be proportional to factor ' prices ' it can be shown that the cost increase is the same if the output increase is obtained by optimally varying all factors ).

It is equivalent to saying that the prime decomposition of the manifold has no acyclic components, and turns out to be equivalent to the condition that all geometric pieces of the manifold have geometries based on the two Thurston geometries S < sup > 2 </ sup >× R and S < sup > 3 </ sup >.

< p > The condition of the State was thus.

One particularly useful condition is that the length of the sequence is finite and each quotient module M < sub > i </ sub >/ M < sub > i + 1 </ sub > is simple.

Assign z to z < sup > 2 </ sup > minus the conjugate of z, plus the original value of the pixel for each pixel, then count how many cycles it took when the absolute value of z exceeds two ; inversion ( borders are inner set ), so that you can see that it threatens to fail that third condition, even if it meets condition two.

The constant k must be determined to allow a non-trivial v to satisfy the boundary condition on C. Such values of k < sup > 2 </ sup > are called the eigenvalues of the Laplacian in D, and the associated solutions are the eigenfunctions of the Laplacian in D. The Sturm – Liouville theory may be extended to this elliptic eigenvalue problem ( Jost, 2002 ).

The condition Q < sup > T </ sup > Q = I says that the columns of Q are orthonormal.

The stability condition stated above in terms of eigenvalues for the second-order case remains valid for the general n < sup > th </ sup >- order case: the equation is stable if and only if all eigenvalues of the characteristic equation are less than one in absolute value.

+ b < sup > 2 </ sup >< sup > 1 / 2 </ sup > ), and frequency f < sub > 0dB </ sub > is determined by the condition:

The stronger condition that a < sup >( n − 1 )/ 2 </ sup > =

The weaker condition U < sup >∗</ sup > U = I defines an isometry.

Another condition, U U < sup >∗</ sup > = I, defines a coisometry.

* State, condition (< span lang = grc > echein </ span >, to have or be ) — examples: shod, armed

Note that it prohibits referrals under either condition ( 1 ) or condition ( 2 ).

Thus far, the cases which have come before the courts have involved only the issue of referral where the job is vacant due to a strike -- condition ( 1 ) in the Regulation of the Secretary.

In a situation, when he has justification to assume, that a given person committed or is attempting to commit an act regulated by the convention, he can apply towards that person “ reasonable measures ” including restraint, under a condition that they do not break the rules enumerated in Article 6, paragraph 1 of the Tokyo Convention.

These aberrations are avoided if, according to Abbe, the sine condition, sin u ' 1 / sin u1 = sin u ' 2 / sin u2, holds for all rays reproducing the point O.

If the object point O is infinitely distant, u1 and u2 are to be replaced by h1 and h2, the perpendicular heights of incidence ; the sine condition then becomes sin u ' 1 / h1 = sin u ' 2 / h2.

This combined condition is exactly fulfilled by holosymmetrical objectives reproducing with the scale 1, and by hemisymmetrical, if the scale of reproduction be equal to the ratio of the sizes of the two components.

Estimates of the lifetime prevalence of bipolar disorder vary, with studies typically giving values of the order of 1 %, with higher figures given in studies with looser definitions of the condition.

fixed-line connections stand at less than 1 per 100 persons ; equipment is old and outdated, and connections with many parts of the country are unreliable ; mobile-cellular usage, in part a reflection of the poor condition and general inadequacy of the fixed-line network, increased more than 6-fold between 2002 and 2007 reaching a subscribership base of 25 per 100 persons

* Tripoli-Cape Town Highway: this route crosses the western extremity of the country on National Road No. 1 between Kinshasa and Matadi, a distance of 285 km on one of the only paved sections in fair condition.

On February 22, 2010, a copy of Action Comics # 1 ( June 1938 ) sold at auction from an anonymous seller to an anonymous buyer for $ 1 million, besting the $ 317, 000 record for a comic book set by a different copy, in lesser condition, the previous year.

An estimated 9 million Ecuadorians have an economic occupation and about 1. 01 million inhabitants are in unemployment condition.

She described this condition in 1978 Estimates of the prevalence of this rare disorder have ranged from 1: 20, 000 to 1: 40, 000 births, though the incidence may be found to be greater as the syndrome becomes better recognized and new genetic evidence is discovered.

Unlike retrograde amnesia ( which is popularly referred to simply as " amnesia ", the state where someone forgets events before brain damage ), dissociative amnesia is not due to the direct physiological effects of a substance ( e. g., a drug of abuse, a medication, DSM-IV Codes 291. 1 & 292. 83 ) or a neurological or other general medical condition ( e. g., Amnestic Disorder due to a head trauma, DSM-IV Codes 294. 0 ).

A sufficient condition for perfect recovery is that the non-zero portion of S ( ƒ ) be confined to a known frequency interval of width 1 / T.

The road network in Georgia consists of 1, 474 kilometers of main or international highways that are considered to be in good condition and some 18, 821 kilometers of secondary and local roads that are, generally, in poor condition.

It is true, however, that condition 1 implies condition 2 in the context of all spaces.

The difficulty encountered when attempting to prove that condition 2 implies condition 1 lies in the fact that topological spaces are, in general, not first-countable.

) The condition for φ to vary slowly is that its rate of change with k < sub > 1 </ sub > be small ; this rate of variation is:

The weak topology is characterized by the following condition: a net ( x < sub > λ </ sub >) in X converges in the weak topology to the element x of X if and only if φ ( x < sub > λ </ sub >) converges to φ ( x ) in R or C for all φ in X *.