When more complex shapes are needed, low order Bézier curves are patched together.

When the Banach algebra A is the algebra L ( X ) of bounded linear operators on a complex Banach space X ( e. g., the algebra of square matrices ), the notion of the spectrum in A coincides with the usual one in the operator theory.

When machine translation ( also known as mechanical translation ) failed to yield accurate translations right away, automated processing of human languages was recognized as far more complex than had originally been assumed.

When cells enter mitosis, the sister chromatids ( which represent the two copies of each chromosomal DNA molecule resulting from DNA replication earlier in the cell cycle and packaged by histones and other proteins into chromatin ) are linked all along their length by the action of the cohesin complex.

When Stamford Bridge was redeveloped in the Ken Bates era many additional features were added to the complex including two hotels, apartments, bars, restaurants, the Chelsea Megastore, and an interactive visitor attraction called Chelsea World of Sport.

When the body is expending more energy than it is consuming ( e. g. when exercising ), the body's cells rely on internally stored energy sources, such as complex carbohydrates and fats, for energy.

When the eigenvalues of J are not in the unit circle, the dynamics near the fixed point x < sub > 0 </ sub > of F is called hyperbolic and when the eigenvalues are on the unit circle and complex, the dynamics is called elliptic.

When the group of covalently bound atoms bears a net charge, the group is referred to more properly as a polyatomic ion or a complex ion.

When the topological space is homeomorphic to a simplicial complex, its fundamental group can be described explicitly in terms of generators and relations.

When the domain of the input function is time ( t ), and the domain of the output function is ordinary frequency, the transform of function s ( t ) at frequency ƒ is given by the complex number:

When oxygen binds to the iron complex, it causes the iron atom to move back toward the center of the plane of the porphyrin ring ( see moving diagram ).

When iodine is dissolved in polar solvents which are strong donor solvents such as ketones, ethers, pyridine, the formation of charge-transfer complex leads to modification of the energy gap between the two molecular orbitals, thus different wavelengths were absorbed and iodine has different color in solvents with different polarity.

When the brown solution of iodine in strong donor solvents were heated, a color transition from brown to violet is observed as the weakly-bonded charge-transfer complex dissociates into to free solvent and iodine molecules.

When the Preface is dropped, the poem seems to compare the act of poetry with the might of Kubla Khan instead of the loss of inspiration causing the work to have a more complex depiction of the poetic power.

When used as a general concept, " language " may refer to the cognitive ability to learn and use systems of complex communication, or to describe the set of rules that makes up these systems, or the set of utterances that can be produced from those rules.

When it is considered that some e-learning courses need to include video, mathematical equations using MathML, chemistry equations using CML and other complex structures the issues become very complex, especially if the systems needs to understand and validate each structure and then place it correctly in a database.

When RNA polymerase transcribes these regions, it recruits the N and forms a complex with several host Nus proteins.

When, for example, television producers " pre-interview " participants in news and public affairs programs, to insure that they will speak in simple, attention-grabbing terms, and when the search for viewers leads to an emphasis on the sensational and the spectacular, people with complex or nuanced views are not allowed a hearing.

# Structured prediction: When the desired output value is a complex object, such as a parse tree or a labeled graph, then standard methods must be extended.

When the Ag < sup >+</ sup > ion forms a complex with these molecules, they are rendered unusable by the bacteria, depriving them of necessary compounds and eventually leading to their death.

When police officials concluded the twin towers were in danger of collapsing and ordered police to leave the complex, fire officials were not notified.

The Starfleet Engineering Corps ( also called the Starfleet Corps of Engineers ) is mentioned in several episodes in conjunction with projects such as hollowing out the underground laboratory complex inside the Regula I asteroid in Star Trek II: The Wrath of Khan, the design of the Yellowstone-class Runabout in the alternate timeline in the Star Trek: Voyager episode " Non Sequitur ", and devising a defense against the Breen energy-dampening weapon in the Star Trek: Deep Space Nine episode " When It Rains ..." As a result of these successes, Starfleet engineers have gained a reputation as the undisputed masters of technological adaptation and modification.

When treated with potassium fluoride and hydrofluoric acid, Th < sup > 4 +</ sup > forms the complex anion, which precipitates as an insoluble salt,.

When the player stands within a small distance from most surfaces, the detail texture will fade in and make the surface appear much more complex ( high-resolution ) instead of becoming increasingly blurry.

When I question them as to what they mean by concepts like liberty and democracy, I find that they fall into two categories: the simpler ones who have simply accepted the shibboleths of their faith without analysis ; ;

When some question arises in the medical field concerning cancer, for instance, we do not turn to free and open discussion as in a political campaign.

When he was asked a question or addressed in such a way that some response was inescapable, he would answer ; ;

When a question contains two verbs, the response does not make clear which of them is being answered.

When King Saud visited Washington, the overwhelming question consuming the press was the size of his family.

When one attempts to solve problems in this class, it makes no difference whether ZF or ZFC is employed if the only question is the existence of a proof.

When Angelo Cardinal Roncalli was elected and became Pope John, there was some confusion as to whether he would be John XXIII or John XXIV ; he then declared that he was John XXIII to put this question to rest.

When James Bradley and Samuel Molyneux entered this sphere of astronomical research in 1725, there consequently prevailed much uncertainty whether stellar parallaxes had been observed or not ; and it was with the intention of definitely answering this question that these astronomers erected a large telescope at the house of the latter at Kew.

When Winston follows up his question by asking " Does Big Brother exist the same way I do?

When animators or interface designers talk about the " physics " or " feel " of an operation, they may be referring to the particular Bézier curve used to control the velocity over time of the move in question.

When playing privately, this will normally be a question of agreeing house rules.

" When the Frankish bishops still insisted the abbot was wrong in obedience to St. Patrick's canon, he laid the question before the Pope St. Gregory I.

When asked the same question and told of the cost, 33 % said " Yes " and 54 % said " No ".

When the question of Gallifrey's location is discussed by humans, it is presumed to be located somewhere in Ireland.

When Evans began to question her religious faith, her father threatened to throw her out, although that did not happen.

When one, therefore, asks a question like, " Is S2 the same as S1?

When using these sources, it is, as always, important to question the impact of the circumstances in which they were produced.

When the question of satisfying the investors came up, Gutenberg is said to have promised to share a " secret ".

When the statement " all A are B " is qualified like this to exclude those A which are not B, this is a form of begging the question ; the conclusion is assumed by the definition of " true A ".

This sparked an interest in the general question: When is collective metallic bonding stable and when will a more localized form of bonding take its place?

When Spitzer attempted to answer a question, the coach was clubbed with the butt of an AK-47 in full view of international television cameras and pulled away from the window.

SIAM Journal on Computing, 10 ( 1 ): 96-113 ( 1981 )</ ref > When a question is true for almost all oracles, it is said to be true for a random oracle.

When explicit statements are absent, it is difficult to assess whether the presidents in question were irreligious, were unorthodox in their beliefs, or simply believed that religion was not a matter for public revelation.

In Tractate Sanhedrin, the question is asked, When does the soul enter the body of the newborn?

When the software in question uses object-oriented principles, RPC is called remote invocation or remote method invocation.