The lower limit was determined by the fact that for smaller flow rates the arc started to strike to the anode holder instead of to the porous graphite plug and that it became highly unstable.

This is often incorrectly inferred from the correct fact that in all electrochemical devices negatively charged anions move towards the anode ( hence their name ) and positively charged cations move away from it.

which is shown as reduction but, in fact, the SHE can act as either the anode or the cathode, depending on the relative oxidation / reduction potential of the other electrode / electrolyte combination.

The formulas are approximate, but this rough approximation is in fact relatively good and gives the right intuition, with the notion of polarity of the bond and some theoretical grounding in quantum mechanics.

So the fact that the opposition creates a dynamic and exalted energy between the planets involved is not as clearly negative as for instance the square, but it can be indicative of tension, conflict or confrontation, due to the polarity between the two signs involved if not channeled constructively.

The utility of Cauchy sequences lies in the fact that in a complete metric space ( one where all such sequences are known to converge to a limit ), the criterion for convergence depends only on the terms of the sequence itself.

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.

The fulfilment of the promise to each patriarch depends on having a male heir, and the story is constantly complicated by the fact that each prospective mother – Sarah, Rebekah and Rachel – is barren.

The solution of the Schrödinger equation ( wave equations ) for the hydrogen atom uses the fact that the Coulomb potential produced by the nucleus is isotropic ( it is radially symmetric in space and only depends on the distance to the nucleus ).

Availability of a trial by jury in American jurisdiction usually depends on the availability of a jury trial in a particular type of case under the common law of England at the time of the American Revolutionary War ( which allowed jury trials in its " courts of law " but not in its " courts of equity "), despite the fact that jury trials are no longer available in the vast majority of such cases under modern English law.

" The review then concluded, " His ' psychological curiosity ', as he terms it, depends in no slight degree on the establishment of the previous fact which we have mentioned: but the poem itself is below criticism.

While this theory depends on Bernoulli's principle, the fact that this theory has been discredited does not imply that Bernoulli's principle is incorrect.

The ratio of M to R increases by a factor of only three over 2. 5 orders of magnitude of M. This relation is roughly proportional to the star's inner temperature T < sub > I </ sub >, and its extremely slow increase reflects the fact that the rate of energy generation in the core strongly depends on this temperature, while it has to fit the mass – luminosity relation.

The basis for determination of molecular weight according to the Staudinger method ( since replaced by the more general Mark-Houwink equation ) is the fact that relative viscosity of suspensions depends on volumetric proportion of solid particles.

If successful, these effort could usher in a new era of neural computing that is a step beyond digital computing, because it depends on learning rather than programming and because it is fundamentally analog rather than digital even though the first instantiations may in fact be with CMOS digital devices.

Good performance for a splay tree depends on the fact that it is self-optimizing, in that frequently accessed nodes will move nearer to the root where they can be accessed more quickly.

In fact, the modern explanation of the uncertainty principle, extending the Copenhagen interpretation first put forward by Bohr and Heisenberg, depends even more centrally on the wave nature of a particle: Just as it is nonsensical to discuss the precise location of a wave on a string, particles do not have perfectly precise positions ; likewise, just as it is nonsensical to discuss the wavelength of a " pulse " wave traveling down a string, particles do not have perfectly precise momenta ( which corresponds to the inverse of wavelength ).

... they are not your friends, but they are your enemies in fact, though not in intention, who teach you to look to the Legislature for the radical removal of the evils that afflict human life ... It is the individual mind and conscience, it is the individual character, on which mainly human happiness or misery depends.

It uses the fact that charged particles are deflected in a magnetic field and the amount of deflection depends upon the particle's mass.

The marriage of these two observations depends on the fact that each of them is essentially concerned with time.

In another frame, in addition to the reduction of kinetic energy there may be a transfer of kinetic energy from one particle to the other ; the fact that this depends on the frame shows how relative this is.

These are objects that can be evacuated or used for a kind of thinking that depends on manipulation of what are felt to be things in themselves as if to substitute such manipulations for words or ideas ... Alpha-function transforms sense impressions into alpha-elements which resemble, and may in fact be identical with, the visual images with which we are familiar in dreams, namely, the elements that Freud regards as yielding their latent content when the analyst has interpreted them.

In fact in practice the curtains do not run at a constant speed as they would in an ideal design, obtaining an even exposure time depends mainly on being able to make the two curtains accelerate in a similar manner.

The main fact to notice is that this velocity field depends on the actual positions of all of the particles in the universe.

In de Broglie – Bohm theory, nonlocality manifests as the fact that the velocity and acceleration of one particle depends on the instantaneous positions of all other particles.

The Markov property states that the conditional probability distribution for the system at the next step ( and in fact at all future steps ) depends only on the current state of the system, and not additionally on the state of the system at previous steps.

The fact that there are thirteen letters in two of the mottos (" e pluribus unum " and " annuit cœptis ") seems to be coincidental ( and depends on whether one considers the ligature " œ " to be one letter or two ).

In another frame, in addition to the reduction of kinetic energy there may be a transfer of kinetic energy from one particle to the other ; the fact that this depends on the frame shows how relative this is.

The theorem crucially depends upon the precise definitions of compactness and of the product topology ; in fact, Tychonoff's 1935 paper defines the product topology for the first time.

In fact, I was watching you on that little seventeen-inch screen when you rang my bell.

His advice, his voice saying his poems, the fact that he had not so much as touched her -- on the contrary, he had put his head back and she had stroked his hair -- this was all new.

Also, we should not even to-day discount the fact that a region such as the coastal lowlands centering on Charleston had closer ties with England and the West Indies than with the North even after independence.

It contains, in fact, their whole outlook on life.

But though the Southern States, when drafting a constitution to unite themselves, narrowed the difference to this fine point by omitting to assert the right to secede, the fact remained that by seceding from the Union they had already acted on the concept that it was composed primarily of sovereign states.

`` I may possibly be a greater risk than is the normal person of my age '', the President had said on February 29th of the election year, ignoring the fact that no one of his age had ever lived out another term.

But the fact remains that even the unconscious acceptance of himself as a man of destiny divinely protected must be censored in any man who evades the responsibility for his major decisions, and thus for imposing his will on the people.

Perhaps the mere fact that by plucking on the nerves nature can awaken in the most ordinary of us, temporarily anyway, the sleeping poet, and in poets can discover their immortality, is the most remarkable of all the remarkable phenomena to which we can attest??

His point is simply that the Tories have showered him with personal satire, despite the fact that as a private subject he has a right to speak on political matters without affronting the prerogative of the Sovereign.

In fact, all persons were permitted to cross the Rhine into Kehl, there being no sentry posted on the west side of the river.

In fact, if judgments are to be rendered upon the soundness of his historicism, they must be based on scanty evidence.

But his rancor did not cease, and presently, on March 13, when he preached a sermon on the text, `` And Ben-hadad Was Drunk '', he told his congregation how disappointed he was in Mr. Lewis, how he regretted having had him in his house, and how he should have been warned by the fact that the novelist was drunk all the time that he was working on the book.

They insisted on the `` fundamental fact '' that `` the whole of Berlin has a quadripartite status ''.

The main question raised by the incident is how much longer will UN bury its head in the sand on the Congo problem instead of facing the bitter fact that it has no solution in present terms??

-- Your July 26 editorial regarding the position of Attorney General Robert F. Kennedy on prospective tax relief for DuPont stockholders is based on an erroneous statement of fact.

Taking account of the fact that such a move on our part would be unpopular in world opinion, he argued that the responsibility of the United States is `` to do, confidently and firmly, not what is popular, but what is right ''.

the rub arises from the fact that teachers are usually paid on the basis of time served rather than quality.

Even apart from the fact that now at the age of 31 my personal life is being totally disrupted for the second time for no very compelling reason -- I cannot help looking around at the black leather jacket brigades standing idly on the street corners and in the taverns of every American city and asking myself if our society has gone mad.

One indication of the merits of the new management is found in the fact that during the period 1951-1956, while total annual mileage put on the vehicles increased 35%, the total maintenance cost increased only 11%.

The action of the Commission in allowing or denying any claim under this title shall be final and conclusive on all questions of law and fact and not subject to review by the Secretary of State or any other official, department, agency, or establishment of the United States or by any court by mandamus or otherwise.

In fact, one of the major reasons for the failure of the ill-starred expedition appears to have been a lack of full information on the extent to which Cuba has been getting this Russian military equipment.

In the light of these circumstances, as well as the fact that the issue at trial in this respect centered entirely on the Department's recommendation, which petitioner repudiated but which both the appeal board and the courts below found supported by the record, we find no relevancy in the hearing officer's report and notes.