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 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 algorithms which often take a small time to complete, but periodically require a much larger time, amortized analysis can be used to determine the worst-case running time over a ( possibly infinite ) series of operations.

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 the distance from the pitcher's mound to the plate was lengthened by ten feet in 1894 ( primarily to reduce the dominance of Cy Young ’ s pitching ), the effectiveness of Grey ’ s pitching suffered.

When the conversion between football and baseball took place, the pitcher's mound was raised and lowered by an electric motor.

When used by a player, this pitch is the most draining of the pitcher's stamina.

When the decision to remove a pitcher is made, the manager may also elect to double switch, delaying the new pitcher's turn at bat.

When thrown correctly, it could have a break from seven to as much as 20 inches in comparison to the same pitcher's fastball.

When the plague takes a grip on the town, Grand joins the team of volunteers, acting as general secretary, recording all the statistics.

When Newton's method is used to find the solution for the maximum likelihood estimate, the middle 24 % order statistics can be used as an initial solution for x < sub > 0 </ sub >.

When a sample consists of more than one variable, descriptive statistics may be used to describe the relationship between pairs of variables.

When either randomness or uncertainty modeled by probability theory is attributed to such errors, they are " errors " in the sense in which that term is used in statistics ; see errors and residuals in statistics.

When characters " level up ", the statistics for their attributes permanently increase, which may also be amplified by the types of equipment the character is wearing.

When James N. Gregory examined the Census Bureau statistics, as well as other surveys, he discovered some surprising percentages.

When the rural statistics are compiled into the city stats, the total population of Eustis topped 50, 000 in 2000.

When using probability theory to analyze order statistics of random samples from a continuous distribution, the cumulative distribution function is used to reduce the analysis to the case of order statistics of the uniform distribution.

When measured on a passenger-distance calculation, air travel is the safest form of transportation available: these figures are the ones mentioned by the air industry when quoting statistics on air safety.

When the German distributor of the program took legal action to forbid publishing this rating, c't followed up with an exhaustive test showing that the program had virtually no effect other than giving false information about system statistics.

When Auguste Comte discovered that Quetelet had appropriated the term ' social physics ', which Comte had originally introduced, Comte found it necessary to invent the term ' sociologie ' ( sociology ) because he disagreed with Quetelet's collection of statistics.

When a character gains a new level, the statistics ( stats ) of the character are upgraded.

When languages are being compared informally, one of the few quantitative statistics which are sometimes cited is the number of irregular verbs.

When parliamentary reform came to prominence again in the mid-1860s, Cranborne worked hard to master electoral statistics until he became an expert.

When the Cabinet met on 16 February 1867, Disraeli voiced his support for some extension of the suffrage, providing statistics amassed by Robert Dudley Baxter, showing that 330, 000 people would be given the vote and all except 60, 000 would be granted extra votes.

When Cranborne entered the Cabinet meeting on 25 February " with reams of paper in his hands " he begun by reading statistics but was interrupted to be told of the proposal by Lord Stanley that they should agree to a £ 6 borough rating franchise instead of the full household suffrage, and a £ 20 county franchise rather than £ 50.

When a challenge presents itself to the characters, they roll a number of dice determined by the statistics of their character with a difficulty assigned by the storyteller.

When considering these statistics, which state that Black and Latino teens are more likely to commit juvenile offenses it is important to keep the following in mind: poverty, or low socio-economic status are large predictors of low parental monitoring, harsh parenting, and association with deviant peer groups, all of which are in turn associated with juvenile offending.

When a unit levels, its unit quality and technology level automatically increases by 1, and widely used statistics combination are specially designed for various units to reach its maximum potential when the units have been fully leveled.

When the statistics of the name are compared to the population statistics of America, the approximate number of people named John in the USA is 12, 328, 091 and the number of Johns in the USA is increasing by 104, 925 each year.

When, in 1988, the US government proposed the addition of the category of " bi-racial " or " multiracial " to official documents and statistics, some African American organizations and African American leaders such as Watson and Representative Augustus Hawkins were particularly vocal in their rejection and opposition of the category.