When we consider the disorganized state of the world community, and the legacy of predispositions adversely directed against all who are identified as Jews, it is obvious that the struggle for the minds and muscles of men needs to be prosecuted with increasing vigor and skill.

When Michael VIII captured the city, its population was 35, 000 people, but, by the end of his reign, he had succeeded in increasing the population to about 70, 000 people.

When used as a lifting element on a " hydrofoil " boat, this upward force lifts the body of the vessel, decreasing drag and increasing speed.

When Ribbentrop recovered, he sought a chance for increasing the agency's influence by giving Croatia independence.

Following World War II, a nationwide movement pressed to return to pre-war society as quickly as possible in the U. S. When combined with the increasing national paranoia about communism and psychoanalytic theory that had become pervasive in medical knowledge, homosexuality became an undesired characteristic of employees working for the U. S. government in 1950.

When probenecid and penicillin are administered together, probenecid competitively inhibits the excretion of penicillin, increasing penicillin's concentration and prolonging its activity.

When Public Enemy reformed, due to increasing attention from the press and pressure from Def Jam hierarchy, Griffin was no longer with the band.

When increasing concern within the company over the pricing and availability of fuel during the oil crisis of the 1970s became an issue of contention, smaller engines were considered in the interest of fuel economy.

When the muscles of the vocal folds contract, the airflow from the lungs is impeded until the vocal folds are forced apart again by the increasing air pressure from the lungs.

When the union with Sweden was dissolved in 1905, the university became important for producing highly educated men and women who could serve as experts in a society which placed increasing emphasis on ensuring that all its citizens enjoy a life of dignity and security.

When released, ADH binds to V2 G-protein coupled receptors within the distal convoluted tubules, increasing cyclic AMP, which couples with protein kinase A, stimulating translocation of the aquaporin 2 channel stored in the cytoplasm of the distal convoluted tubules and collecting ducts into the apical membrane.

When functions between discrete sets are considered in combinatorics, it is not always obvious that " increasing " and " decreasing " are taken to include the possibility of repeating the same value at successive arguments, so one finds the terms weakly increasing and weakly decreasing to stress this possibility.

When Nationalists concerned with the increasing number of Communist members and organizations at Whampoa set up a " Society for Sun Yatsenism ," Zhou attempted to squelch it ; the conflict between these student groups set the background for Zhou's removal from the academy.

When these two substances mix, a spontaneous reaction will begin, slowly increasing the temperature of the mixture until flames are produced.

When the reinforced concrete element is subject to increasing bending moment, the tension steel yields while the concrete does not reach its ultimate failure condition.

When Pasko had to give up work on the title due to increasing television commitments, editor Len Wein assigned the title to British writer Alan Moore.

When, pushed by the increasing influence of the Republicans in Piedmont, he attempted to resume the war the next year, the Piedmontese were again crushed by Radetzky's troops at Novara.

When a hollow-point hunting bullet strikes a soft target, the pressure created in the pit forces the material ( usually lead ) around the inside edge to expand outwards, increasing the axial diameter of the projectile as it passes through.

When Michael VIII entered the city, its population was people, but he succeeded in increasing it to people by the end of his reign.

When World War II broke out, Bauxite was again called into martial action, with production rapidly increasing with the need for refined aluminum to produce airplanes and other materiel.

When the war ended, it was clear that the increasing capabilities of aircraft would require better means of acquiring targets and aiming at them.

When the same roots occur multiple times, the terms in this formula corresponding to the second and later occurrences of the same root are multiplied by increasing powers of n. For instance, if the characteristic polynomial can be factored as ( x − r )< sup > 3 </ sup >, with the same root r occurring three times, then the solution would take the form

When the group toured the Pacific Northwest, local R & B bands began to play the song, increasing its popularity.

When flow is turbulent, particles exhibit additional transverse motion which enhances the rate of energy and momentum exchange between them thus increasing the heat transfer and the friction coefficient.

When applied to Sanskrit, however, it added a great deal of complexity to the script, due to the large variety of clusters in this language ( up to five consonants, e. g. rtsny ).

When discussing what complexity classes the integer factorization problem falls into, it's necessary to distinguish two slightly different versions of the problem:

When it was no longer possible to rely on design evolution to improve upon a system and the existing tools were not sufficient to meet growing demands, new methods began to be developed that addressed the complexity directly.

When genome complexity is relatively high, like in the case of human genome, not only different genes, but also inside one gene there are gaps of introns to protect the entire coding segment to minimise the changes caused by mutation.

When the number of vertices in the graph is known ahead of time, and additional data structures are used to determine which vertices have already been added to the queue, the space complexity can be expressed as where is the cardinality of the set of vertices.

When both front and rear derailleurs are used with a geared hub, the result is a very wide-ranging drivetrain, at the expense of increased weight and complexity.

When compared with open circuit scuba, rebreathers have some disadvantages including expense, complexity of operation and maintenance, and more critical paths to failure.

When one also takes into account the burghs the true complexity of the matter is revealed.

When expressed this way, the time complexity is said to be described asymptotically, i. e., as the input size goes to infinity.

When is the number of dimensions, Perlin noise has complexity, while simplex noise has complexity.

When there is no difference besides accentuation, the accented letters are to be sorted after the unaccented ordered by the complexity of the accent.

When any tine is plucked, the adjacent tines also vibrate, and these harmonizing secondary vibrations serve a similar role to the harmonic overtones of a string instrument-they increase the harmonic complexity of an individual note, though in a strange yet pleasing way.

When a special data structure is involved in the implementation of the algorithm of the method, its time complexity can reach, an optimal algorithm of the method.

When, as with computers, product complexity is high and diagnostics are involved, the medical metaphor is perhaps appropriate, as complex diagnostics might be required to determine if the product " is really dead ".

When studying the complexity class NP and harder classes such as the polynomial hierarchy, polynomial-time reductions are used.

When a limited-overs match is affected by rain or bad light, and the Duckworth Lewis method is used to adjust the target for a team batting second, because of the complexity of the situation, the fielding side's captain may decide to give a piece of paper with the Duckworth Lewis calculations to the vice captain or another player, so that he is not overburdened with duties.

When Dr. Müller created the grape in the Geisenheim Grape Breeding Institute in the late 19th century, his intention was to combine the intensity and complexity of the Riesling grape with the ability to ripen earlier in the season that the Silvaner grape possesses.

When the first drawings arrived in January 1942, the complexity of the project seemed daunting.

When the number of employees exceeds 150, internal knowledge sharing dramatically decreases because of higher complexity in the formal organizational structure, weaker inter-employee relationships, lower trust, reduced connective efficacy, and less effective communication.

When all the situational factor values are determined it is possible to determine the overall complexity and uncertainty of the service.

When a person attempts to determine the rulership of a house, the more planets or bodies that rule that house will reveal its complexity.

When using the residence time equation, a variety of assumptions are made to reduce the complexity of the system being modeled.

When running a high-bandwidth video application such as a movie player or some games, the computing power and complexity needed to perform constant clipping and checking negatively impacts performance and compatibility.