A necessary and sufficient condition for a Banach space X to be associated to an inner product ( which will then necessarily make X into a Hilbert space ) is the parallelogram identity:

By the end of Judges the Israelites are in a worse condition than they were at the beginning, with Yahweh's treasures used to make idolatrous images, the Levites ( priests ) corrupted, the tribe of Dan conquering a remote village instead of the Canaanite cities, and the tribes of Israel making war on the Benjamites, their own brothers.

It is necessary to make sure that u and v are real differentiable, which is a stronger condition than the existence of the partial derivatives but it is not necessary to require continuity of these partial derivatives.

Many of the routes listed below are in poor condition and may be operating at only a fraction of their original capacity ( if at all ), despite recent attempts to make improvements.

[...] Without the oblivion that drugs had brought, he was now in a healthy enough mental condition to want to make friends.

Hitler was able to convince her to film Triumph instead, on the condition that she not be required to make further films for the party.

Moreover, any condition affecting the genital area can make women reject the idea of having intercourse.

If the suspect was under the influence of alcohol or drugs, or suffered from an emotional or mental condition that substantially impaired their capacity to make rational decisions, the courts may well decide that the suspect's waiver was not knowing and intelligent.

MNT should make possible nanomedical capabilities able to cure any medical condition not already cured by advances in other areas.

Rather, divination tends to be more about discovering information about the nature and condition of things that can help the magician gain insight and to make better decisions.

His work states that a visiting physician must make duplicate notes of a patient's condition on every visit.

In 2010, Qatar twice offered to restore trade relations with Israel and allow the reinstatement of the Israeli mission in Doha, on condition that Israel allow Qatar to send building materials and money to Gaza to help rehabilitate infrastructure, and that Israel make a public statement expressing appreciation for Qatar's role and acknowledging its standing in the Middle East.

Expected to make use of devices with which listeners could press a button to indicate whether they liked or disliked a particular piece of music, Adorno bristled with distaste and astonishment: “ I reflected that culture was simply the condition that precluded a mentality that tried to measure it .” Thus Adorno suggested using individual interviews to determine listener reactions and, only three months after meeting Lasarzfeld, completed a 160-page memorandum on the Project ’ s topic, “ Music in Radio .” Adorno was primarily interested in how the musical material was affected by its distribution through the medium of radio and thought it imperative to understand how music was affected by its becoming part of daily life.

Stoddart was impressed by the story's literary merits, but wrote to publisher George Lippincott that " in its present condition there are a number of things an innocent woman would make an exception to.

Wilson, in his present condition, was either unwilling or unable to make the concessions, and debate on the bill had resulted in a deadlock.

The day Warner Brothers had declined to make the more personal Scissorhands even after the success of Batman, Burton finally agreed to direct the sequel for Warner Brothers on the condition that he would be granted total control.

He once recalled that when Sir Ralph Richardson " wanted the low-down on Pozzo, his home address and curriculum vitae, and seemed to make the forthcoming of this and similar information the condition of his condescending to illustrate the part of Vladimir ...

Sir, I am not going to criticise these proposals, and I am only referring to them as signs that there is much to be done — that their condition is far from satisfactory ; and it is eminently, as I think, our duty to develop in the first instance, every means that we may possibly devise whereby, if possible, the labourer may be able to make this provision for himself, or to approximate towards making such provision far more efficaciously and much more closely than he can now do.

: Or if the hypothesis were offered us of a world in which Messrs. Fourier's and Bellamy's and Morris's utopias should all be outdone, and millions kept permanently happy on the one simple condition that a certain lost soul on the far-off edge of things should lead a life of lonely torture, what except a specifical and independent sort of emotion can it be which would make us immediately feel, even though an impulse arose within us to clutch at the happiness so offered, how hideous a thing would be its enjoyment when deliberately accepted as the fruit of such a bargain?

The complete freedom of a carrier of passengers at common law to make such contracts as he thinks fit was not curtailed by the Railway and Canal Traffic Act 1854, and a specific contract which enlarges, diminishes or excludes his duty to take care ( e. g., by a condition that the passenger travels " at his own risk against all casualties ") cannot be pronounced to be unreasonable if the law authorises it.

# If the hospital does not have the capability to treat the condition, the hospital must make an " appropriate " transfer of the patient to another hospital with such capability.

The council stated that the woman should have been informed of her condition, and allowed to make her own decision.

Especially when reading older literature, be sure to get the authors ' definition of each condition mentioned to make sure that you know exactly what they mean.

All persons born in the United States ... are hereby declared to be citizens of the United States ; and such citizens of every race and color, without regard to any previous condition of slavery ... shall have the same right in every State ... to make and enforce contracts, to sue, be parties, and give evidence, to inherit, purchase, lease, sell, hold, and convey real and personal property, and to full and equal benefit of all laws and proceedings for the security of person and property, as is enjoyed by white citizens, and shall be subject to like punishment, pains, and penalties and to none other, any law, statute, ordinance, regulation, or custom to the Contrary notwithstanding.

* dysarthria-a condition that occurs when problems with the muscles that help you talk make it difficult to pronounce words.

The assumption that ZF is consistent is harmless because adding another axiom to an already inconsistent system cannot make the situation worse.

Most of Taoism's focus is on what is perceived to be the undeniable fact that human attempts to make the world better actually make the world worse.

To make matters worse, Stalin began espousing his policy of socialism in one country – a policy often viewed, wrongly, as an attack on Trotsky, when it was really aimed at Zinoviev.

To make matters worse for Chernenko, he did not have control over the Politburo ; both Andrei Gromyko and Dmitriy Ustinov were both very independent politically, and the Politburo still contained several leading Andropov protégés, such as Gorbachev, Vorotnikov, Solomontsev and Heydar Aliyev.

In particular, many design techniques that make a CPU run faster make the " performance per watt ", " performance per dollar ", and " deterministic response " much worse, and vice versa.

To make things even worse, the Tome of Pope Leo of Rome was, according to the Alexandria School of Theology, particularly in regards to the definition of Christology, considered influenced by Nestorian heretical teachings.

A widely-accepted general standard is Pareto efficiency, which is reached when no further change can make someone better off without making someone else worse off.

Pleasure, for example, appears to not be good without qualification, because when people take pleasure in watching someone suffering, this seems to make the situation ethically worse.

To make things worse, Ash is forced to sever his right hand, which has become possessed.

To make matters worse, unknown barriers of energy are sprouting up around the world – sometimes aiding the Exiles, sometimes helping the Empire who can afford the losses much more easily than the Exiles.

Any sort of physical or mental stress will tend to make the tremor worse, often creating the false impression that the tremor is of psychosomatic origin.

To make matters worse, this was followed up by only tentative advances inland.

To make matters worse, Magloire followed in the footsteps of many previous presidents by disputing the termination date of his stay in office.

To make matters worse, coffee prices plunged on the international market in the mid-1980s and remained low throughout the decade.

The American Urological Association states that most ( but not all ) people with IC find that certain foods make their symptoms worse.

To make matters worse, many factions have not kept accurate records ( or any at all ) of the exact locations of their minefields, making removal efforts painstakingly slow.

This remains controversial, however, since the risks may outweigh the benefits, and the further damage done to the lymphatic system may in fact make the lymphedema worse.

And this was measured on a system with a single large server providing the operating system ; breaking the operating system down further into smaller servers would only make the problem worse.

To make matters worse, the porteño government agitated for Paraguayan military assistance against the Spanish in Uruguay and, disregarding the Treaty of October 11, for unification of Paraguay with Argentina.

I am a good sergeant ; I might easily make a bad captain, and certainly an even worse general.

They also taught and were known for their ability to make the weaker ( or worse ) argument the stronger ( or better ).

This can render occupying the corner largely useless, and often much worse than that because of loss of tempo ( Where it is an issue of running out of desirable moves and being forced to make undesirable ones, the grabbing of a corner may give the opponent not only the wedging response but also a follow-up move which one cannot respond to practically ).