When analyzing the efficiency of algorithms that use stacks, one may also specify that all operations take the same time no matter how many items have been pushed into the stack, and that the stack uses a constant amount of storage for each element.

When analyzing a pitcher's statistics, some useful categories to consider include K / 9IP ( strikeouts per nine innings ), K / BB ( strikeouts per walk ), HR / 9, WHIP ( walks plus hits per inning pitched ) and OOPS ( opponent on-base plus slugging ).

When analyzing the deformation or motion of solids, or the flow of fluids, it is necessary to describe the sequence or evolution of configurations throughout time.

When analyzing electrical circuits, the actual direction of current through a specific circuit element is usually unknown.

When analyzing a stock, futures contract, or currency using fundamental analysis there are two basic approaches one can use ; bottom up analysis and top down analysis.

When analyzing " supertrees " ( datasets incorporating as many taxa of a suspected clade as possible ), it may become unavoidable to introduce character definitions that are imprecise, as otherwise the characters might not apply at all to a large number of taxa ; to continue with the " wings " example, the presence of wings would hardly be a useful character if attempting a phylogeny of all Metazoa, as most of these don't have wings at all.

When analyzing projects in a capital constrained environment, it may be appropriate to use the reinvestment rate rather than the firm's weighted average cost of capital as the discount factor.

When analyzing a weather map, a station model is plotted at each point of observation.

When analyzing the subject of class and how individuals stratified into them interact with each other, Albert and Hahnel came to the conclusion that Marxian class theory and views of class among capitalist economists were inadequate to assess how economies of all kinds are divided along class lines.

When objectively analyzing the condition for learning Gagné says: “ Since the purpose of instruction is learning, the central focus for rational derivation of instructional techniques is the human learner.

When analyzing the reasons behind her difficulty to find work, Witherspoon commented " I think because the character I played was so extreme and sort of shrewish – people thought that was who I was, rather than me going in and creating a part.

When analyzing Canadian political parties and leaders, federal-provincial, French-English, and Canada-US relations are important, therefore, a simple Left-Right spectrum based on only one criterion can be misleading.

When determining whether or not analyzing a sample with an AFM is appropriate, there are various advantages and disadvantages that must be considered.

When analyzing molecules by size, it is most convenient to analyze only linear molecules to avoid this problem, e. g. DNA fragments from a restriction digest, linear DNA PCR products, or RNAs.

When analyzing a pure neutrophil suspension on an automated cell counter, neutrophils have an average diameter of 8 – 9 µm.

When the scholar mentions important occasions in his own life, lack of chronological labeling is especially evident-which can provide complications to those analyzing his book.

When analyzing potentially mixed convection of a liquid, the Archimedes number parametrizes the relative strength of free and forced convection by representing the ratio of Grashof number and the square of Reynolds number.

When economists study a representative agent, this is because it is usually simpler to consider to one ' typical ' decision maker instead of simultaneously analyzing many different decisions.

When analyzing gas samples, however, the carrier is sometimes selected based on the sample's matrix, for example, when analyzing a mixture in argon, an argon carrier is preferred, because the argon in the sample does not show up on the chromatogram.

When analyzing the symptoms, it is important for the technician to identify what the customer is trying to accomplish so that time is not wasted on " attempting to solve a symptom instead of a problem.

When analyzing data aggregated by political boundaries, postal codes or census areas results may be very different with a different choice of units.

When analyzing the various inscriptions it could be determined on the basis of the typeface that there was an older and a younger sculptor generation at work, which makes the coherence of the entire frieze all the more remarkable.

When analyzing the gravitational forces in a system, it becomes impossible to account for every unit of mass individually.

When they are both large, for instance more than 2000 bits long, randomly chosen, and about the same size ( but not too close, e. g. to avoid efficient factorization by Fermat's factorization method ), even the fastest prime factorization algorithms on the fastest computers can take enough time to make the search impractical ; that is, as the number of digits of the primes being factored increases, the number of operations required to perform the factorization on any computer increases drastically.

When considering a new application, the engineer can compare multiple learning algorithms and experimentally determine which one works best on the problem at hand ( see cross validation.

When the coefficients belong to a finite field or are rational numbers, there are algorithms to test irreducibility and to compute the factorization into irreducible polynomials.

When applying link-state algorithms, each node uses as its fundamental data a map of the network in the form of a graph.

When the number of control points exceeds the minimum required to define the appropriate transformation model, iterative algorithms like RANSAC can be used to robustly estimate the parameters of a particular transformation type ( e. g. affine ) for registration of the images.

When applied to a stack of images, typical in medical imaging, the resulting contours after image segmentation can be used to create 3D reconstructions with the help of interpolation algorithms like Marching cubes.

When non-flooding scheduling algorithms are used, an alternative definition of iteration is used.

When such an algorithm exists for both a problem and its complement ( with the answers " yes " and " no " swapped ), the two algorithms can be run simultaneously and repeatedly: a few steps of each, taking turns, until one of them returns a definitive answer.

When performing any of these multiplication algorithms the following " steps " should be applied.

When working with large values of exponent, this offers a substantial speed benefit over both of the previous two algorithms.

When efficiently implemented, it is fast enough that its benefits usually justify including it as an extra step in data compression algorithms.

When viewed in terms of approximation algorithms, connected domination and maximum leaf spanning trees are not the same: approximating one to within a given approximation ratio is not the same as approximating the other to the same ratio.

When they reached their neighbor's house, Pamela said a few polite words to Grace and kissed Melissa lightly on the forehead, the impulse prompted by a stray thought -- of the type to which she was frequently subject these days -- that they might never see one another again.

When my Uncle offered me a part-time job which would take care of my normal expenses and give me time to paint I accepted.

When, in 1832, the South Carolina nullifiers adopted the principle of state interposition which Madison had advanced in his old Virginia Resolve, they elicited no encouragement from that senior statesman.

When I try to work out my reasons for feeling that this passage is of critical significance, I come up with the following ideas, which I shall express very briefly here and revert to in a later essay.

This comes out in `` When The Bells Ring '', which describes the rallying of the peasants in southern Sweden to repel an invasion by the Danes.

When erosion threatened the foundation of their home in Harbert, Paula Sandburg planted grapevines and arranged the snow fences which helped hold the sands away.

She used to tell me, `` When I stand there and look at the flag blowing this way and that way, I have the wonderful, safe feeling that Americans are protected no matter which way the wind blows ''.

When Thompson and her daughter began a correspondence which included fervent verses from Pantasaph, Mrs. King felt a proper Victorian alarm.

When they were first written, there was evidently no thought of their being published, and those which refer to the writer's love for Mrs. Meynell particularly have the ring of truth.

When the United States entered the First World War Baker made certain that the Draft Act of 1917 prohibited the sale of liquor to men in uniform and that it provided for broad zones around the camps in which prostitution was outlawed.

When the historian encounters a situation in which he can perceive no visible cause and effect sequence, he should be alert to intuition and unconscious instinct as possible guides.

There is, of course, nothing new about dystopias, for they belong to a literary tradition which, including also the closely related satiric utopias, stretches from at least as far back as the eighteenth century and Swift's Gulliver's Travels to the twentieth century and Zamiatin's We, Capek's War With The Newts, Huxley's Brave New World, E. M. Forster's `` The Machine Stops '', C. S. Lewis's That Hideous Strength, and Orwell's Nineteen Eighty-Four, and which in science fiction is represented before the present deluge as early as Wells's trilogy, The Time Machine, `` A Story Of The Days To Come '', and When The Sleeper Wakes, and as recently as Jack Williamson's `` With Folded Hands '' ( 1947 ), the classic story of men replaced by their own robots.

When he came to Baltimore, he was leaving a team which was supposed to win the National League pennant, and he was joining what seemed to be a second division American League club.

When we become firm enough to stand for those ideals which we know to be right, when we become hard enough to refuse to aid nations which do not permit self-determination, when we become strong enough to resist any more drifts towards socialism in our own Nation, when we recognize that our enemy is Communism not war, and when we realize that concessions to Communists do not insure peace or freedom, then, and only then will we no longer be `` soft ''.

When Papa went out to do God's work, Stevie often accompanied him in the buggy, which was drawn by Violet, the new black mare.

When he had given the call a few moments thought, he went into the kitchen to ask Mrs. Yamata to prepare tea and sushi for the visitors, using the formal English china and the silver tea service which had been donated to the mission, then he went outside to inspect the grounds.

When he was bent over behind the wheel of the station wagon, feeling in his trouser cuffs for the ignition key which he had dropped a moment before, she came out of the house with an enormous Rumanian shawl over her head, which she had bought in that country during one of their trips abroad, and handed him a clean handkerchief through the window.

When the Export-Import Bank is prepared to act favorably upon an application, it will so notify the Department of Economic Affairs and will indicate the interest rate and the repayment period which would be used under the proposed loan.

When he showed this model as his `` solution '' as to how the Howe sewing machine operated, he was told he was `` wrong '', and discovered to his amazement that the Howe Machine, which was unknown to him in detail, used two threads while the one that he had perfected used only one.

When the budget goes to trustees for approval it is the president's budget, to which his faith and credit are committed ; ;

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

When typical reaction cells to which 0.3 of an atmosphere of oxygen had been added were illuminated, chlorine and phosgene were produced.