Both Algorithm I and Algorithm II compute these values correctly.

Again the estimated population variance of 30 is computed correctly by Algorithm II, but the naive algorithm now computes it as − 170. 66666666666666.

The Bellman – Ford algorithm sometimes referred to as the Label Correcting Algorithm, computes single-source shortest paths in a weighted digraph ( where some of the edge weights may be negative ).

The difference between the state sequence that the Viterbi algorithm estimate generates and the state sequence that the Forward algorithm generates is that the Viterbi algorithm recalculates the entire sequence with each new data point whereas the Forward Algorithm only appends the new current value to the previous sequence computed.

While this loss of precision may be tolerable and viewed as a minor flaw of Algorithm I, it is easy to find data that reveal a major flaw in the naive algorithm: Take the sample to be ( 10 < sup > 9 </ sup > + 4, 10 < sup > 9 </ sup > + 7, 10 < sup > 9 </ sup > + 13, 10 < sup > 9 </ sup > + 16 ).

This is a serious problem with Algorithm I and is due to catastrophic cancellation in the subtraction of two similar numbers at the final stage of the algorithm.

* MAD / I ( an expanded version of the Michigan Algorithm Decoder for the IBM S / 360 architecture that is not compatible with the original 7090 version of MAD, see also GOM above )

Another version of what is essentially the same meter version of the algorithm, the Generic Cell Rate Algorithm, is described by the ITU-T in recommendation I. 371.

The International Psychopharmacology Algorithm Project ( IPAP ) is a non-profit corporation whose purpose is to " enable, enhance, and propagate " use of algorithms for the treatment of some Axis I psychiatric disorders.

* 1995, A. Bastian, I. Hayashi: " An Anticipating Hybrid Genetic Algorithm for Fuzzy Modeling ", J. of Japan Society for Fuzzy Theory and Systems, Vol. 10, pp. 801-810

* L. Blum, “ A New Simple Homotopy Algorithm for Linear Programming I ,” Journal of Complexity, Vol. 4, No. 2, 124-136, June 1988.

The Intersection Algorithm returns an interval that includes that returned by Marzullo's algorithm but may be larger since it will include the center points.

: For a detailed presentation of the various points of view around the definition of " algorithm " see Algorithm characterizations.

For examples of simple addition algorithms specified in the detailed manner described in Algorithm characterizations, see Algorithm examples.

: For an example of the simple algorithm " Add m + n " described in all three levels see Algorithm examples.

Algorithm versus function computable by an algorithm: For a given function multiple algorithms may exist.

Algorithm analysis is an important part of a broader computational complexity theory, which provides theoretical estimates for the resources needed by any algorithm which solves a given computational problem.

The reference model given by the ITU-T and ATM Forum for UPC and NPC is the Generic Cell Rate Algorithm ( GCRA ), which is a version of the leaky bucket algorithm.

* Bruce Schneier, The Blowfish Encryption Algorithm — One Year Later, Dr. Dobb's Journal, 20 ( 9 ), p. 137, September 1995.

Parser algorithms for context-free languages include the CYK algorithm and the Earley's Algorithm.

A standard algorithm for collating any collection of strings composed of any standard Unicode symbols is the Unicode Collation Algorithm.

* Schaffer, C. Data Structures and Algorithm Analysis

Fortune's Algorithm uses a sweepline technique to achieve O ( n log n ) runtime in the planar case.

* C implementation of Flood / Seed Fill Algorithm from Graphics Gems ; BSD ( ish ) license, by Paul Heckbert.

1 – 7: " The Euclidean Algorithm.

In its basic structure it is similar to Dijkstra's Algorithm, but instead of greedily selecting the minimum-weight node not yet processed to relax, it simply relaxes all the edges, and does this | V | − 1 times, where | V | is the number of vertices in the graph.

Unlike Deutsch's Algorithm, this algorithm required two function evaluations instead of only one.

::: DSA ( NIST Digital Signature Algorithm from the Digital Signature Standard FIPS Pub 186-2 ; ANSI X9. 30, part 1 )

* ANSI X9. 30 The Digital Signature Algorithm ( DSA )

The entry for the reign between Áed and Donald II is corrupt in the Chronicle of the Kings of Alba, and in this case the Chronicle is at variance with every other king list.

Thus the man who, as the Archbishop of Reims, crowned successively Henry II, Francis II and Charles IX had a personal policy which was often at variance with that of the court.

The gameplay of Witchaven II: Blood Vengeance is heavily based on the original game, different only in story and also some additional weapon selection and enemy variance.

Historians estimate that the reason for the rapid capitulation of Mieszko II was the bad internal situation in the country.

The official Yugoslav post-war estimate of victims in Yugoslavia during World War II is 1, 704, 000.

Gabolde highlighted, in his analysis, the consistently small number of surviving scarabs known for Thutmose II compared to Thutmose I and Hatshepsut respectively ; for instance, Flinders Petrie's older study of scarab seals noted 86 seals for Thutmose I, 19 seals for Thutmose II and 149 seals for Hatshepsut while more recent studies by Jaeger estimate a total of 241 seals for Thutmose I, 463 seals for Hatshepsut and only 65 seals for Thutmose II.

* Internal Ratings-Based Approach ( Credit Risk ), an approach to estimate capital requirements by banks under the Basel II guidelines

Additionally, Hilberg estimated the total number of Germans killed by Jews during World War II as less than 300, an estimate that is not conducive to an image of heroic struggle.

In January 1661 Charles II ordered the garrison to be disbanded and an estimate made of the expense of demolishing the castle ; the latter idea was, however, speedily dropped, and five months later, although the forces were paid off, arrangements were made for additions involving an increase in the annual expenditure.

Diagram showing how the polarity of the QRS complex in leads I, II, and III can be used to estimate the heart's electrical axis in the frontal plane.

Until the end of the World War II, an estimate of 350, 000 R-42 were produced in Polish underground factories.

Casimir II, however, went a different route and, in order to gain the favor of the Duke of Racibórz given him the towns of Oświęcim and Bytom ( with the fortress of Oświęcim, Bytom, Mikołów, Siewierz and Pszczyna, although some historians estimate that these fortress had belonged to Mieszko only since 1179 ).

The next day, German Ambassador Tschirschky spoke to Emperor Franz Joseph and stated that it was his estimate that Wilhelm II, would support resolute, well-thought-out action by Austria-Hungary with regards to Serbia.

Janowitz traced these attitudes historically to competing perspectives about the European and East Asian theaters of war during WWII, noting " a strong continuity between an officer's estimate of the conduct of World War II and his contemporary adherence to pragmatic or absolute doctrine "( 290 ).