The general basis on which these common costs are assigned to differently measured units of service will be illustrated by the following highly simplified problem of an electric-utility cost analysis.

To further highlight the difference between a problem and an instance, consider the following instance of the decision version of the traveling salesman problem: Is there a route of at most 2000 kilometres in length passing through all of Germany's 15 largest cities?

The following spring, Frank McClure, the deputy director of the APL, asked Guier and Weiffenbach to look at the inverse problem where you know the location of the satellite and you want to find your own location.

The gamma function can be seen as a solution to the following interpolation problem:

The problem of the controversy between the spirit and the letter of the law, in Germany, has been brought back to public attention due to the trials of former East German soldiers who guarded the Berlin Wall — the so-called necessity of following orders.

The following describes a dynamic programming solution for the unbounded knapsack problem.

The following formula reduces the problem of computing the least common multiple to the problem of computing the greatest common divisor ( GCD ):

In order to solve a given problem of supervised learning, one has to perform the following steps:

Most progressive educators believe that children learn as if they were scientists, following a process similar to John Dewey's model of learning: 1 ) Become aware of the problem.

As an example, consider the following variant of the halting problem.

In 1997, the acute employment problem at St Helena was brought to the attention of the British public following reports in the tabloid press of a " riot " following an article in the Financial Times describing how the Governor, David Smallman ( 1995 – 1999 ), was jostled by a small crowd who believed he and the Foreign Office had rejected plans to build an airport on the island.

Upon becoming President of Egypt following the death in office of President Gamal Abdel Nasser, Anwar Al-Sadat sought a diplomatic solution to the conflict, offering peace and recognition to Israel in exchange for the Israeli withdrawal from all the Egyptian, Palestinian, and Syrian territory occupied in 1967, and a resolution of the Palestinian refugee problem.

In England smuggling first became a recognised problem in the 13th century, following the creation of a national customs collection system by Edward I in 1275.

During the period of negotiations and threats following the invasion, Saddam focused renewed attention on the Palestinian problem by promising to withdraw his forces from Kuwait if Israel would relinquish the occupied territories in the West Bank, the Golan Heights, and the Gaza Strip.

In The Catholic Encyclopedia ( 1914 ), Constantine Kempf argued that, following Leibniz's work, philosophers called their works on the problem of evil ' theodicies ', and philosophy about God was brought under the discipline of theodicy.

In the following decades, the problem was studied by many researchers from mathematics, computer science, chemistry, physics, and other sciences.

The problem can be prevented according to above-mentioned and following measures:

The following groups have a solvable word problem:

The word problem for a recursively presented group can be partially solved in the following sense:

In an execution where such a linked list is being shared between multiple processes, two processes may attempt to remove two different nodes simultaneously resulting in the following problem: let nodes i and i + 1 be the nodes to be removed ; furthermore, let neither of them be the head nor the tail ; the next pointer of node i-1 will be changed to point to node i + 1 and the next pointer of node i will be changed to point to node i + 2.

Informally it solves the following problem: Given an integer N, find its prime factors.

In making useful applications of technology to domains such as healthcare, it is helpful to discriminate between problems which are very, very hard ( such as deep understanding of pathophysiology as it relates to genetic and various environmental influences ) and problem which are relatively easier, such as following the status of negotiations between a patient and a health care provider.

The following passage from `` The Hangman's Great Hands '' illustrates the directness of this anger.

Similarly, some additional assumption is needed besides the Cauchy – Riemann equations ( such as continuity ), as the following example illustrates

The following diagram illustrates the general idea of the key exchange by using colours instead of a very large number.

The following program illustrates dynamic memory allocation and array-based operations, two features introduced with Fortran 90.

The following example game illustrates a player trying to guess the word hangman using a strategy based solely on letter frequency.

The VA IT Project Management Framework diagram illustrates Milestone 4 which occurs following the deployment of a system and the closing of the project.

The following illustrates how the above PDA computes on different input strings.

The following list illustrates some of the possibilities.

Whilst the following example illustrates how a desired sound might be achieved in practice, only the final three stages are really subtractive synthesis and the early stages could be considered to be a form of additive synthesis.

The following systematic list ( gender taxonomy ) illustrates the kinds of diversity that have been studied and reported in medical literature.

The following table illustrates where financial markets fit in the relationship between lenders and borrowers:

The following cladogram illustrates the relationship between the tunas and the other tribes of the family Scombridae.

The principal packet structure of ARP packets is shown in the following table which illustrates the case of IPv4 networks running on Ethernet.

The following table illustrates the sound changes according to Verner.

The following series of steps illustrates how androgens and the androgen receptor work together to produce androgenic effects:

The following excerpt from Notes and Queries ( 1951 ), the most well-established field manual for ethnographic research, illustrates the scope of ethnographic investigation into the matter:

The following synopsis illustrates key story points common to most accounts.

The following Java ( SE 6 ) program illustrates the ' shape ' example given below and will output:

The following diagram illustrates the use of this algorithm in converting a list of lines or polygons into a BSP tree.

The following example illustrates the LZW algorithm in action, showing the status of the output and the dictionary at every stage, both in encoding and decoding the data.

This piece illustrates or rather suggests unconsciously a minimalist process, about which one will speak much in the following years.

The following table illustrates the thematic structure as found in the Thracesian Theme, circa 902-936:

The following example in Lisp illustrates how the p in the corollary can be effectively produced from the function Q.

There has been some debate over the details of his life, which the following quote from the entry " Bible, English " in the 1911 Encyclopædia Britannica illustrates: