But if this is the case, then an arbitrary pencil of lines having a point, P, of **zg as vertex is transformed into a ruled surface of order Af having Af generators concurrent at P.

The rating scale of compulsivity was constructed by first perusing the interview records, categorizing all evidence related to compulsivity, then arranging a distribution of such information apart from the case records.

A recent case in point is Mitchell Canneries v. United States, in which a claim against the Government was transferred first from a corporation to a partnership, whose partners were former stockholders, and then to another corporation formed by the partners.

In an earlier case, Kingan & Co. v. United States, an American corporation was formed for the purpose of acquiring the stock of a British corporation in exchange for its own stock and then liquidating the British corporation.

Thus, in the example cited above Fromm rests his whole case on the premise that the workers are being deprived unconsciously, unknowingly, of fulfillment, and then supports this with survey data reporting conscious, experienced frustrations.

A simple illustration of such cause and effect is the case of experiencing the effects of what I cause: if I cause suffering, then as a natural consequence I will experience suffering ; if I cause happiness, then as a natural consequence I will experience happiness.

In that case it is equivalent to saying that if we have several ( a finite number of ) boxes, each containing at least one item, then we can choose exactly one item from each box.

** 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.

Instead of starting from theory and applying theory to a particular case, casuists start with the particular case itself and then ask what morally significant features ( including both theory and practical considerations ) ought to be considered for that particular case.

If the Labours precede the events in Roger Ackroyd, then the Roger Ackroyd case must have taken place around twenty years later than it was published, and so must any of the cases that refer to it.

This is a common fact about allomorphy: if the allomorphy conditions are ordered from most restrictive ( in this case, after an alveolar stop ) to least restrictive, then the first matching case usually " wins ".

According to mission rules, Orion would have then re-docked with Casper, in case mission control decided to abort the landing and use the Lunar Module's engines for the return trip to Earth.

With the descendents of Charles I thus either childless ( in the case of William III and Anne ) or Catholic, consideration then fell to the descendants of Elizabeth of Bohemia, the only other child of James I to have reached adulthood.

If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.

The case of " beauty " is different from mere " agreeableness " because, " If he proclaims something to be beautiful, then he requires the same liking from others ; he then judges not just for himself but for everyone, and speaks of beauty as if it were a property of things.

In the Jewish Deuterocanonical book Second Maccabees, Chapter 2, " one finds in the records " that Jeremiah, having received an oracle of the Lord, ordered that the tent and the ark and the altar of incense should follow him to the mountain of God where he sealed them up in a cave, and he told those who followed him in order to mark the way ( but they could not find it ) " The place shall remain unknown until God gathers his people together again and shows his mercy, and then the Lord will disclose these things, and the glory of the Lord and the cloud shall appear, as they were shown in the case of Moses, and as Solomon asked that the place be specially consecrated.

The case was then appealed to the Supreme Court.

In the case of parallelization, Amdahl's law states that if P is the proportion of a program that can be made parallel ( i. e., benefit from parallelization ), and ( 1 − P ) is the proportion that cannot be parallelized ( remains serial ), then the maximum speedup that can be achieved by using N processors is

For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.

* 1939 – The United Kingdom and Poland form a military alliance in which the UK promises to defend Poland in case of invasion by a foreign power.

When it was first adopted by the U. S. military, a Honeywell engineer sat in the back seat with bolt cutters to disconnect the autopilot in case of emergency.

With this treaty, a mutual border was agreed between the two countries, together with an agreement for mutual military and diplomatic support in case of a Bulgarian or / and Austro-Hungarian attack.

Traditional dependence on the French defense capability, although reduced, continues to be the case as French military advisers remain closely involved in preparing the Cameroonian forces for deployment to the contested Bakassi Peninsula.

In any case, Clausewitz saw military force as an instrument that states and other political actors use to pursue the ends of policy, in a dialectic between opposing wills, each with the aim of imposing his policies and will upon his enemy.

Medieval military doctrine employed them as part of a combined-arms force along with various kinds of foot troops ; however medieval chroniclers tended to pay undue attention to the knights at the expense of the rank and file, which led early students of military history to suppose that this heavy cavalry was the only force that mattered on medieval European battlefields, which was not the case.

Consequently, military aggression that results in territorial annexation became increasingly likely to prompt international condemnation, diplomatic censure, a reduction in international aid or the introduction of economic sanction, or, as in the case of 1990 invasion of Kuwait by Iraq, international military intervention to reverse the territorial aggression.

At home, Eisenhower was more effective in making the case for NATO in Congress than the Truman administration ; by the middle of 1951, American and European support for NATO was substantial enough to give it a genuine military force.

Pauline Léon, on 6 March 1792, submitted a petition signed by 319 women to the National Assembly requesting permission to form a garde national in order to defend Paris in case of military invasion.

In the Finnish case, chaotic conditions, particularly at the beginning of the war, provided an additional reason for the use of child soldiers ; military leaders took whoever they could get their hands on, and in the Red Guards there was also the chance of a salary.

Some did so for payment, some for military glory and, in one recorded case, for personal honour.

In 1879, Bismarck formed a Dual Alliance of Germany and Austria-Hungary, with the aim of mutual military assistance in the case of an attack from Russia, which was not satisfied with the agreement reached at the Congress of Berlin.

The establishment of the Dual Alliance led Russia to take a more conciliatory stance, and in 1887, the so-called Reinsurance Treaty was signed between Germany and Russia: in it, the two powers agreed on mutual military support in the case that France attacked Germany, or in case of an Austrian attack on Russia.

In return for German and Austrian support, Italy committed itself to assisting Germany in the case of a French military attack.

This was especially the case as decrypts showed the British military attaché to Poland arguing that Britain could not save Poland in the event of a German attack, and only Soviet support offered the prospect of Poland holding out.

The first documented case is that of Marie-Angélique Duchemin ( 1772 – 1859 ), who fought in the Revolutionary Wars, received a military disability pension in 1798, the rank of 2nd lieutenant in 1822, and the Legion of Honor in 1852.

This approach is presumed to have been employed in the case of Dan Rather over a story that he ran on 60 Minutes in the month prior to the 2004 election that attempted to impugn the military record of George W. Bush by relying on allegedly fake documents that were provided by Bill Burkett, a retired Lieutenant Colonel in the Texas Army National Guard.

Friedman did, however, believe a nation could compel military training as a reserve in case of war time.

The ensuing discussion of a potential political deal between Germany and the Soviet Union had to be channeled into the framework of economic negotiations between the two countries, because close military and diplomatic connections, as was the case before mid-1930s, had afterward been largely severed.

However, from the very beginning Stalin made it clear that the Soviet Union would avoid a direct confrontation with the U. S. over Korea and would not commit ground forces even in case of some major military crisis.

* 1970 – Vietnam War: The Supreme Court of the United States votes 6 to 3 against hearing a case to allow Massachusetts to enforce its law granting residents the right to refuse military service in an undeclared war.

In contrast, " subjectivist " statisticians deny the possibility of fully objective analysis for the general case.

This conflation of case in Middle and Modern English has led most modern grammarians to discard the " accusative " and " dative " labels as obsolete, often using the term " objective " for oblique.

By contrast, nouns have no distinct nominative and objective forms, the two being merged into a single plain case.

It was Irving's failure as an " objective historian " not his right wing views that caused him to loose his libel case, as a " conscientious historian " would not have " deliberately misrepresented and manipulated historical evidence " to support his political views.

When faced with a counterexample to a universal claim, rather than denying the counterexample or rejecting the original universal claim, this fallacy modifies the subject of the assertion to exclude the specific case or others like it by rhetoric, without reference to any specific objective rule.

For example, the personal pronouns in English can be organized into tables, using the categories of person ( first, second, third ), number ( singular vs. plural ), gender ( masculine, feminine, neuter ), and case ( subjective, objective, and possessive ).

Generally, when the term subjective case is used, the term objective is used for the oblique case, which covers the roles of accusative, dative, and objects of a preposition.

The genitive case is then usually called the possessive form and often is not considered as a noun case per se ; English is then said to have two cases, the subjective and the objective.

In this case, there is no such maximum as the objective function is unbounded, so the answer is " infinity " or " undefined ".

The objective in any case is to retain as much moisture as possible, while providing the texture and color.

* No true Scotsman: When faced with a counterexample to a universal claim, rather than denying the counterexample or rejecting the original universal claim, this fallacy modifies the subject of the assertion to exclude the specific case or others like it by rhetoric, without reference to any specific objective rule.

For the other disks there is always one possibility, except when all disks are on the same peg, but in that case either it is the smallest disk that must be moved or the objective has already been achieved.

A critical objective was to create a Joint Services career path for case officers to flag rank since the individual Services were inconsistent in their support of clandestine operations ; and, case officers were routinely sacrificed during reductions in force — or when the Intelligence Chiefs of the individual Services decided that espionage was immoral and military officers should not engage in " sinful activities.

In casual speech, the objective case is sometimes used in place of the possessive:

In the case of photographic film cameras the calculation is simple ; the final magnification is the product of: the objective lens magnification, the camera optics magnification and the enlargement factor of the film print relative to the negative.

Often, flakes are struck from a core using a punch, in which case the percussor never actually makes contact with the objective piece.

In this case, rather than being a mere infantry maneuver, it developed into a complex multi-discipline endeavor involving fast movement of mechanized armor, use of artillery barrages, air force bombardment, and effective radio communications, with the primary objective of destroying enemy command and control chains, undermining enemy troop morale, and disrupting supply lines.

The case received national attention for its suggestion that no one reasonably expects objective facts from a typical talk show host.

Tensions rose when a French-speaking social geographer suggested in a televised lecture that an objective case could be made for changing the administrative status of the city of Leuven, to include it in a larger, bilingual ' Greater-Brussels '.

In his opening statement, Arthur begins by mocking the case of the prosecuting attorney ( Craig T. Nelson ) while speaking of the ultimate objective of the American legal system.

In the case of a neutron bomb ( see below ) the last-mentioned does not apply since the escape of neutrons is the objective.