Hubbell considers the fact that population densities are constant and interprets it as a general principle: large landscapes are always biotically saturated with individuals.

He also asserted that the absence of any reference to Hobbes, the questionable utility of refuting Hobbes when he was a non-issue in the most immediate debates, and the fact that Locke claims to have never read Hobbes or Spinoza, " those justly-decried names ," harms any interpretation that interprets Locke as in any way responding to Hobbes.

This fact can be used in steganography, where an algorithm interprets a binary data file differently to reveal hidden content.

He interprets the account of " placing the heavenly bodies in the firmament " as simply being a consequence of the terrestrial frame of reference, for the heavenly bodies do in fact revolve about the Earth from the perspective of a man standing on the Earth.

Sometimes slightly stronger theories such as Morse-Kelley set theory or set theory with a strongly inaccessible cardinal allowing the use of a Grothendieck universe are used, but in fact most mathematicians can actually prove all they need in systems weaker than ZFC, such as second-order arithmetic.

In fact, Gödel ( 1936 ) proposed something stronger than this ; he observed that there was something " absolute " about the concept of " reckonable in S < sub > 1 </ sub >":

In fact, a fire can be fed by an oxidant other than oxygen ; fluorine fires are often unquenchable, as fluorine is an even stronger oxidant ( it has a higher electronegativity ) than oxygen.

Pauling first proposed the concept of electronegativity in 1932 as an explanation of the fact that the covalent bond between two different atoms ( A – B ) is stronger than would be expected by taking the average of the strengths of the A – A and B – B bonds.

Labiolingually, their mandibles are much stronger at the canine teeth than in canids, reflecting the fact that hyenas crack bones with both their anterior dentition and premolars, unlike canids, which do so with their post-carnassial molars.

The trading of Adam Schneider and Sean Dempster, as well as the team being coached by the former assistant coach at Sydney, Ross Lyon, plus the fact that former Saints players Barry Hall, Tony Lockett and Peter Everitt had played for the Swans, have led to a much stronger rivalry between the clubs, with matches being dubbed " Ross versus Roos " ( from 2007 until 2010 ) by many commentators.

Thus, in order to show that any axiomatic system of mathematics is in fact consistent, one needs to first assume the consistency of a system of mathematics that is in a sense stronger than the system to be proven consistent.

This left the British forces vulnerable to German attack, and after the German Spring Offensives Lloyd George misled the House of Commons in claiming that Haig's forces were stronger at the start of 1918 than they had been a year earlier-in fact the increase was in the number of Chinese, Indian and black South African labourers, and Haig had fewer infantry, holding a longer stretch of front.

The altitude of the mesopause for many years was assumed to be at around 85 km, but observations to higher altitudes and modeling studies in the last 10 years have shown that in fact the mesopause consists of two minima-one at about 85 km and a stronger minimum at about 100 km.

In fact, the Duke's two daughters from his first marriage, Princess Mary and Princess Anne, were considered to have the stronger claim by the English establishment.

In fact, a regular Hausdorff space satisfies the slightly stronger condition T < sub > 2½ </ sub >.

Most topological spaces studied in mathematical analysis are regular ; in fact, they are usually completely regular, which is a stronger condition.

Tying into this fact is an ancient Wing Tsun proverb: " Fear the younger, stronger opponent in fist-fighting, but fear the older, wiser opponent in pole-fighting.

In fact the Doubs ' mean annual flow rate is slightly stronger than that of the Petite Saône ( 175 vs. 160 m³ / s ); some thus assert that it is in fact the Saône that flows into the Doubs.

There is no excuse for them not thinking of that except for the unintelligent, in fact, stupid, narrow-minded and selfish leadership which the democracies of the world are cursed with … But when some other system develops stronger leadership, works hard and long, and intelligently and aggressively — which are good traits — and, superimposed upon that, develops the instinct of a racketeer, there is nothing for the democracies to do but fold up.

In favour of this view is the fact that previous resolutions legitimizing war under Chapter VII used much stronger terms, like "... all necessary means …" in Resolution 678 in 1990 and that Resolution 1441 stated that the Security Council shall " remain seized of the matter.

The Kingdom of Meath also benefitted from the fact that its warriors suffered few casualties, and managed to come from the battlefield in a much stronger position, with most of its neighbours, including the Dublin Vikings, all incapable of launching further advances.

" The Soviet tank armies were in fact stronger than the German panzer divisions, and in the T-34 they possessed a superior tank: Kleist called it " the finest tank in the world.

In the state of nature, it might be argued that certain persons ( the strong and talented ) would be able to coerce others ( the weak and disabled ) by virtue of the fact that the stronger and more talented would fare better in the state of nature.

The stronger side will dictate its own terms ; and as a matter of fact, in the early days of competition, the capitalists used all their power to oppress the labourers, and drove down wages to starvation point.

In fact, the Hydrogen 7 and its hydrogen-fuel-cell cousins are, in many ways, simply flashy distractions produced by automakers who should be taking stronger immediate action to reduce the greenhouse-gas emissions of their cars.

Chris Date refers to Kent's summary as " an intuitively attractive characterization " of 3NF, and notes that with slight adaptation it may serve as a definition of the slightly stronger Boyce – Codd normal form: " Each attribute must represent a fact about the key, the whole key, and nothing but the key.

In fact, rain has much stronger reflective power than snow but its diameter is much smaller.

Stepfamilies can sometimes find it difficult to feel like a family as the spouse may not feel equal to the children due to the fact that a biological parent and their biological child have a stronger bond which is separate from the marriage.

Of course it had always been of European origin in fact, but it had maintained a universal outlook under the natural law theory.

A state, the highest form of human organization in fact and theory, could be subjected to Law only by a manifestation of self-will, or consent.

# the theory that the whole consists of indivisible atoms ( whereas, in fact, none such exist ),

According to bundle theory, an object consists of its properties and nothing more: thus neither can there be an object without properties nor can one even conceive of such an object ; for example, bundle theory claims that thinking of an apple compels one also to think of its color, its shape, the fact that it is a kind of fruit, its cells, its taste, or at least one other of its properties.

This perception was enhanced by the fact that the originator of the Big Bang theory, Monsignor Georges Lemaître, was a Roman Catholic priest.

The importance of the theory lay in the fact that it confirmed the kinetic theory's account of the second law of thermodynamics as being an essentially statistical law.

This theory is evidenced by the fact that the oracles must be dated after the Assyrian destruction of Thebes in 663 BCE as this event is mentioned in Nahum 3: 8.

But the striking fact which, in spite of their occurrence, disproved the conspiracy theory is that few of these conspiracies are ultimately successful.

This is totally spurious, since no matter who measured first the other will measure the opposite spin despite the fact that ( in theory ) the other has a 50 % ' probability ' ( 50: 50 chance ) of measuring the same spin, unless data about the first spin measurement has somehow passed faster than light ( of course TI gets around the light speed limit by having information travel backwards in time instead ).

In theory, this is due to an earlier expression of aggression, and the fact that coyotes reach their full growth in their first year, unlike wolves, which reach it in their second.

Billions of years later, all evidence of that fact has been erased or denied and it is considered just a silly theory.

However this theory ignores the fact that the Soviet Union had already suffered several important setbacks during “ reactive and defensive strategy ” of “ containment ”.

In fact, the evidence within each of these fields is itself a convergence providing evidence for the theory.

In fact, the first two thirds of De Veritate are devoted to an exposition of Herbert's theory of knowledge.

In fact, the ESS has become so central to game theory that often no citation is given, as the reader is assumed to be familiar with it.

Instead, a popular theory suggests linguistic updating, which is when " late forms may not in fact have been original to the book but may reflect the updating of vocabulary and grammar by later scribes so their contemporaries could understand the book better.

In fact, Yakir Aharonov and his collaborators have developed a whole theory of so-called Weak measurement.

But the theory refers only to aggregate wealth and says nothing about the distribution of wealth ; in fact there may be significant losers, in particular among the recently protected industries with a comparative disadvantage.

This theory, applicable mostly to short-term memory, is supposedly contradicted by the fact that one is able to ride a bike even after not having done so for decades.

For him, the fact that his theory gave a straightforward explanation of the anomalous perihelion shift of the planet Mercury, discovered earlier by Urbain Le Verrier in 1859, was important evidence that he had at last identified the correct form of the gravitational field equations.

In fact, the model of any theory containing PA obtained by the systematic construction of the arithmetical model existence theorem, is always non-standard with a non-equivalent provability predicate and a non-equivalent way to interpret its own construction, so that this construction is non-recursive ( as recursive definitions would be unambiguous ).

Following the writings of suffragist Matilda Joslyn Gage and others, Margaret Murray, in her 1921 book The Witch-Cult in Western Europe, proposed the theory that the witches of the early-modern period were remnants of a pagan cult and that the Christian Church had declared the god of the witches was in fact the Devil.