Professor McNeill thinks that at Yalta, Stalin did not fully realize the dilemma which faced him, that he thought the exclusion of the anti-Soviet voters from East European elections would not be greatly resented by his allies, while neither Roosevelt nor Churchill frankly faced `` the fact that, in Poland at least, genuinely free democratic elections would return governments unfriendly to Russia '', by any definition of international friendliness.

The appellate court will typically be deferential to the lower court's findings of fact ( such as whether a defendant committed a particular act ), unless clearly erroneous, and so will focus on the court's application of the law to those facts ( such as whether the act found by the court to have occurred fits a legal definition at issue ).

In fact anode polarity depends on the device type, and sometimes even in which mode it operates, as per the above electric current direction-based universal definition.

Unfortunately in the literature the definition is given in two variants: Despite the fact that Bernoulli defined B < sub > 1 </ sub > = 1 / 2 ( now known as " second Bernoulli numbers "), some authors set B < sub > 1 </ sub > = − 1 / 2 (" first Bernoulli numbers ").

The definition is further complicated by the fact that Irish independence has allowed Ireland to promote ' Celtic ' music as a specifically Irish product.

Noting another proof that self-replicating machines are possible is the simple fact that all living organisms are self replicating by definition.

This definition of cofinality relies on the axiom of choice, as it uses the fact that every non-empty set of cardinal numbers has a least member.

The entries can be numbers or expressions ( as happens when the determinant is used to define a characteristic polynomial ); the definition of the determinant depends only on the fact that they can be added and multiplied together in a commutative manner.

and in fact this can be used as the definition for the complex logarithm.

a fact that cannot be seen directly from the definition of elementary function but can be proven using the Risch algorithm.

The term faunal stage is sometimes used, referring to the fact that the same fauna ( animals ) are found throughout the layer ( by definition ).

The ( unique ) representable functor F: → is the Cayley representation of G. In fact, this functor is isomorphic to and so sends to the set which is by definition the " set " G and the morphism g of ( i. e. the element g of G ) to the permutation F < sub > g </ sub > of the set G. We deduce from the Yoneda embedding that the group G is isomorphic to the group

In fact, a successful definition of the hawala system that is used is ‘ money transfer without money movement ’.

The military connotation in Bauer's definition stems from the fact that ancient Greek armies in the time of total war mobilized all male citizens ( to the age of 50 ) to fight, and many of these citizens tended to fight poorly and ignorantly.

This time, Bobby had enough and left after telling his father that he should just accept the fact that he is a mutant and he would never fit the definition he has of normal.

This definition stresses the fact that human languages can be described as closed structural systems consisting of rules that relate particular signs to particular meanings.

This definition stresses the social functions of language and the fact that humans use it to express themselves and to manipulate objects in their environment.

According to this definition noble gas atoms are considered molecules despite the fact that they are composed of a single non-bonded atom.

From these three assumptions, neoclassical economists have built a structure to understand the allocation of scarce resources among alternative ends — in fact understanding such allocation is often considered the definition of economics to neoclassical theorists.

The latter definition comes from the fact that the path to water is the whole way of life in an arid desert environment.

They state that lack of definition of obscenity in the statutes, coupled with the existence of hypothetical entities and standards as ultimate arbiters within the Miller Test ( hypothetical " reasonable persons " and " contemporary community standards ") proves that federal obscenity laws are in fact not defined, do not satisfy the vagueness doctrine, and thus are unenforceable and legally dubious.

Although he nowhere defines truth in terms of a thought's likeness to a thing or fact, it is clear that such a definition would fit well into his overall philosophy of mind.

In each definition, the existence of the morphism g intuitively expresses the fact that ( A, φ ) is " general enough ", while the uniqueness of the morphism ensures that ( A, φ ) is " not too general ".

In spite of the fact that the decreed definition of the gram specified water at 0 ° C — a highly reproducible temperature — the scientists chose to redefine the standard and to perform their measurements at the temperature of highest water density, which was measured at the time as.

In point of fact, this is a beige box with a bright red door, about one and a half feet square and hung from the wall about six feet from the door to Wisman's right.

The tremendous emphasis on the 5 in the Lo Shu square -- for purely mathematical reasons -- and the fact that this number so neatly symbolized the heart and center of the universe, could well explain why the Old Chinese seem to have so revered the number 5, and why they put so much stress on the concept of Centrality.

For positive values of a and b, the binomial theorem with n = 2 is the geometrically evident fact that a square of side can be cut into a square of side a, a square of side b, and two rectangles with sides a and b. With n = 3, the theorem states that a cube of side can be cut into a cube of side a, a cube of side b, three a × a × b rectangular boxes, and three a × b × b rectangular boxes.

Because centrifugal force increases according to the square of, one would expect gravity to be cancelled for an object travelling 17 times faster than the Earth's rotation, and in fact satellites in low orbit at the equator complete 17 full orbits in one day.

Inefficiency comes not just from the fact that the device is always conducting to some extent ( that happens even with class AB, yet its efficiency can be close to that of class B ); it is that the standing current is roughly half the maximum output current ( although this can be less with square law output stage ), together with the problem that a large part of the power supply voltage is developed across the output device at low signal levels ( as with classes AB and B, but unlike output stages such as class D ).

In fact, the root mean square ( rms ) errors are much better than these upper bounds, being only O ( ε √ log N ) for Cooley – Tukey and O ( ε √ N ) for the naïve DFT ( Schatzman, 1996 ).

This was in fact the ancient version of the mortarboard before the top square was stiffened and the tump replaced by a tassel and button.

The name " quarrel " is derived from the French carré, " square ", referring to the fact that they typically have square heads.

The name rhombicuboctahedron refers to the fact that twelve of the square faces lie in the same planes as the twelve faces of the rhombic dodecahedron which is dual to the cuboctahedron.

It does not seem to solve the problem to say that, just as a matter of fact, God does not make square circles, or stones he cannot lift.

This follows immediately from the fact that transposing a square matrix does not affect elements along the main diagonal.

The Japanese square lashing is similar to the standard square lashing in appearance, but in fact is much faster and easier to use.

One disadvantage of AC, the fact that the arc must be re-ignited after every zero crossing, has been addressed with the invention of special power units that produce a square wave pattern instead of the normal sine wave, making rapid zero crossings possible and minimizing the effects of the problem.

Also, the fact that is random with probability density given by the square modulus of implies that the conditional probability density of given is given by the square modulus of the ( normalized ) conditional wave function ( in the terminology of Dürr et al.

This is simply a restatement of the following fact from linear algebra: for two square matrices M and N, M M < sup >*</ sup >

The name comes from the fact that it is the square root of the mean of the squares of the values.

" British comedic actor Eric Sykes was known in the United Kingdom for wearing thick, square, horn-rimmed glasses, which were in fact a sophisticated hearing aid that alleviated his deafness by allowing him to " hear " vibrations.

In diagrams the fact that an angle is a right angle is usually expressed by adding small right angle that forms a square with the angle in the diagram, as seen the diagram of a right triangle to the right.

Despite its unique flavor square sausage is rarely seen outside Scotland and in fact is still fairly uncommon in the Highlands.