Weaker versions of similarity would for instance have f be a bi-Lipschitz function and the scalar r a limit

Weaker versions of the Knaster – Tarski theorem can be formulated for ordered sets, but involve more complicated assumptions.

Weaker versions of AC only require that functional, “ access consciousness ” be artificially instantiated.

Weaker versions of the position ( perhaps not properly called " causal theories "), claim merely that, in many cases, events in the causal history of a speaker's use of the term, including the term was first acquired, must be considered to correctly assign references to the speaker's words.

Also stated in the episode " The Weaker Sex ", Wade believes a world run by women would be a lot better than run by men.

Weaker multis could gather items in several areas and send them to the main character, so that the main character would get much more loot than if he would search for it singly.

Weaker properties, such as universal hashing, are not strong enough to ensure the constant-time operation of linear probing, but one practical method of hash function generation, tabulation hashing, again leads to a guaranteed constant expected time performance despite not being 5-independent.

Weaker storms strike the area routinely, and some, like Tropical Storm Allison and Tropical Storm Claudette, have caused considerable damage.

Weaker reductions are more effective at separating problems, but they have less power, making reductions harder to design.

* Weaker motivation for good performance at the start of the supply chain since sales are guaranteed and poor quality may be blended into other inputs at later manufacturing stages

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

Weaker states such as Ethiopia, China, and Poland were invaded by expansionist world powers, ultimately leading to World War II by the decade's end.

Weaker sources of circular polarization in nature include multiple scattering by linear polarizers, as in the circular polarization of starlight, and selective absorption by circularly dichroic media.

‘“ Tho ’ of the Weaker Sex :’ A Reassessment of Gender Equality among the Shakers .” Signs: A Journal of Women in Culture and Society 17 ( spring 1992 ): 609 – 35.

* Paul, T. V., Asymmetric Conflicts: War Initiation by Weaker Powers, New York, Cambridge University Press, 1994, ISBN 0-521-45115-5

She won the Wolfson History Award in 1984 for The Weaker Vessel, a study of women's lives in 17th century England.

* Wolfson History Prize ( 1984 ), for her book The Weaker Vessel.

Weaker wools produce more waste in carding and spinning.

Weaker wools may be used for production of felt, or combined with other fibres, etc.

Weaker theorems, qualitatively speaking, but with explicit constants, can actually be applied, in conjunction with machine computation, to prove that lists of solutions ( suspected to be complete ) are actually the entire solution set.

Weaker in power compared to her prior abilities due to a woman ( Nynaeve al ' Meara ) restoring her, Leane switched from the Blue Ajah to the Green after her restoration.

Weaker results relating the degree of a graph to unavoidable sets of cycle lengths are known: there is a set S of lengths, with | S | = O ( n < sup > 0. 99 </ sup >), such that every graph with average degree ten or more contains a cycle with its length in S, and every graph whose average degree is exponential in the iterated logarithm of n necessarily contains a cycle whose length is a power of two.

In " Weak Statesmen, Weaker People ," he wrote that the state is not something " that one can smash in order to destroy.

The band wanted to name the single " One Weaker ", as a followup to the hit single " One Week ", but management refused to allow it.

Weaker portions of the signal include Rome and Dalton in northwest Georgia, Peachtree City south of Atlanta, and Anderson, South Carolina.

Weaker flow of saltier and denser South Pacific water passes over the Lifamatola Passage into the Banda Sea, where these water masses are mixed due to tidal effects, Ekman pumping, and heat and fresh water flux at the ocean surface.

Weaker winds aloft also slow its progression.

* Weaker Feeling of Sublime – Endless desert with no movement.

The original versions of his papers contained " many technical errors of varying degree "; when the collection was first published, the errors were corrected and it was found that this could be done without major changes in the statements of the theorems, with one exception — a claimed proof of the Continuum hypothesis.

Popularly known as the Sapir – Whorf hypothesis, or Whorfianism, the principle is often defined as having two versions: ( i ) the strong version that language determines thought and that linguistic categories limit and determine cognitive categories and ( ii ) the weak version that linguistic categories and usage influence thought and certain kinds of non-linguistic behaviour.

From the late 1980s a new school of linguistic relativity scholars have examined the effects of differences in linguistic categorization on cognition, finding broad support for weak versions of the hypothesis in experimental contexts.

) Physicists have not found any natural process which would be predicted to form a wormhole naturally in the context of general relativity, although the quantum foam hypothesis is sometimes used to suggest that tiny wormholes might appear and disappear spontaneously at the Planck scale, and stable versions of such wormholes have been suggested as dark matter candidates.

All versions of this hypothesis were rejected with high confidence in a statistical analysis of the Trichoplax adhaerens whole genome sequence in comparison to the whole genome sequences of six other animals and two related non-animal species.

* Readable versions of Excellence of the mechanical hypothesis and Origin of forms and qualities

Margulis did strongly promote and publish versions of this hypothesis until the end of her life.

These weaker versions of the hypothesis have not yet been scientifically explored.

Anthropologist Colin Groves has stated that Morgan's theories are sophisticated enough that they should be taken seriously as a possible explanation for hominin divergence and Carsten Niemitz has found more recent, weaker versions of the hypothesis more acceptable, approaching some of his own theories on human evolution.

There are three major versions of the hypothesis: " weak ", " semi-strong ", and " strong ".

The declaration, which opposes the global warming hypothesis and the Kyoto Protocol, has appeared in two versions, both penned by Fred Singer's Science and Environmental Policy Project ( SEPP ).

According to the three versions hypothesis, the A-text was written ca.

As the versions of the ballad known under the title " Scarborough Fair " are usually limited to the exchange of these impossible tasks, many suggestions concerning the plot have been proposed, including the hypothesis that it is about the Great Plague of the late Middle Ages.

While early versions of the hypothesis were criticized as teleological and contradicted principles of natural selection, later versions focused on the large-scale effects of life on the planet and are studied in the disciplines of geophysiology and Earth system science.

Fringe science versions of the hypothesis claim that changes in the biosphere are brought about through the coordination of living organisms and maintain those conditions through homeostasis.

This hypothesis has never achieved unanimous agreement ; the alternative being that Haydn's original tune was adapted by the people in various versions as folk songs.

The Hebrew Gospel hypothesis of Nicholson ( 1879 ) claims two versions of Matthew, Greek and Hebrew, while that of James R. Edwards ( 2009 ) is that the Jewish Christian Gospels preserve some of the source material of Gospel of Luke.

One approach, suggested by writers such as Stephen D. Unwin, is to treat ( particular versions of ) theism and naturalism as though they were two hypotheses in the Bayesian sense, to list certain data ( or alleged data ), about the world, and to suggest that the likelihoods of these data are significantly higher under one hypothesis than the other.

* Popularized versions of the hypothesis, which suggest that " listening to Mozart makes you smarter ", or that early childhood exposure to classical music has a beneficial effect on mental development ;

Other more simplistic versions of the hypothesis exist: that Nuclear winter might give way to a nuclear summer.