Evaluating this definition directly requires O ( N < sup > 2 </ sup >) operations: there are N outputs X < sub > k </ sub >, and each output requires a sum of N terms.

Evaluating these remainders one by one is equivalent to the evaluating the usual DFT formula directly, and requires O ( N < sup > 2 </ sup >) operations.

# Evaluating: The final step in the Information Literacy strategy involves the critical evaluation of the completion of the task or the new understanding of the concept.

* L. Vinciguerra, L. Wills, N. Kejriwal, P. Martino, and R. Vinciguerra, " An Experimentation Framework for Evaluating Disassembly and Decompilation Tools for C ++ and Java ", Proc.

Evaluating equation ( 2 ) gives P ( A < nowiki >'</ nowiki >)

< tr >< td > Decision making </ td >< td > Evaluating resources, choices and consequences </ td ></ tr >

Evaluating an empty array or hash in scalar context yields < tt > undef </ tt >, which is false.

Evaluating P < sub > n-3 </ sub >( x ) at x = 2 gives the nth Fibonacci number plus (- 1 )< sup > n </ sup >.

The degree of blistering can be assessed according to ISO 4628 Part 2 or ASTM Method D714 ( Standard Test Method for Evaluating Degree of Blistering of Paints ).

* Biddulph M ( 2010 ) Evaluating the English Home Zones Initiative, Journal of the American Planning Association, Vol 76 ( 2 )

Evaluating the square of the sum P is connected with the problem of counting how many quadratic residues between 1 and p − 1 are succeeded by quadratic residues.

Sharma, Chanchal Kumar ( 2006 ), ‘ Decentralization Dilemma: Measuring the Degree and Evaluating the Outcomes, The Indian Journal of Political Science, Vol. 67, No. 1, pp. 49-64.

Evaluating the ideal gas law for 1 mole gives

* Ives, John ( 2002 ) " Evaluating Unusual Claims and Devices Using a Team Approach: A Case Study ", Subtle Energies & Energy Medicine, 13 ( 1 ): 39-59, based on Dr. Ives Keynote Address made at the Twelfth Annual ISSSEEM Conference The Co-Creation Process in Energy Medicine: A Synergy of the Sciences and the Healing Arts, June 14 – 19, 2002.

Evaluating Collins ' approach, he considers " the wide geographical spread from which the material comes and the implicit assumption that linguistic developments would have occurred uniformly throughout this area " a weakness and concludes, " The character of the Hebrew and Aramaic could support a date in the fifth or fourth century for the extant written form of the book, but does not demand a second-century date.

In 1975, Jiang initiated a campaign named " Criticizing Song Jiang, Evaluating the Water Margin ", which encouraged the use of Zhou as an example of a political loser.

A detailed example of the positivist approach is a study conducted by the Public Policy Institute of California report titled " Evaluating Academic Programs in California's Community Colleges ", in which the evaluators examine measurable activities ( i. e. enrollment data ) and conduct quantitive assessments like factor analysis.

Evaluating the Hubble parameter at the present time yields Hubble's constant which is the proportionality constant of Hubble's law.

*" First Reports Evaluating the Effectiveness of Strategies for Preventing Violence: Firearms Laws " The CDC, Robert A. Hahn, Ph. D .; Oleg O. Bilukha, M. D., Ph. D .; Alex Crosby, M. D.

The degree of chalking can be assessed according to International Standard ISO 4628 Part 6 or 7 or American Society of Testing and Materials ( ASTM ) Method D4214 ( Standard Test Methods for Evaluating the Degree of Chalking of Exterior Paint Films ).

The degree of cracking can be assessed according to International Standard ISO 4628 Part 4 or ASTM Method D661 ( Standard Test Method for Evaluating Degree of Cracking of Exterior Paints ).

It can be evaluated using ASTM Method ASTM D662 ( Standard Test Method for Evaluating Degree of Erosion of Exterior Paints ).

Evaluating programs and projects, regarding their value and impact within the context they are implemented, can be ethically challenging.

Evaluating an Application Service Provider security when moving to an ASP infrastructure can come at a high cost, as such a firm must assess the level of risk associated with the ASP itself.

Evaluating the benefit of a transformation or sequence of transformations can be quite difficult within this approach, as the application of one beneficial transformation may require the prior use of one or more other transformations that, by themselves, would result in reduced performance.

Evaluating this objectively can be extraordinarily difficult, because people may not even agree about what the true costs and benefits are.

Evaluating Mead's work in Samoa from a positivist stance, Martin Orans ' assessment of the controversy was that Mead did not formulate her research agenda in scientific terms, and that " her work may properly be damned with the harshest scientific criticism of all, that it is ' not even wrong '".

According to the Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results, the following conditions need to be fulfilled in the establishment of repeatability:

* Evaluating the digital content objects to determine what type and degree of format conversion or other preservation actions should be applied.

Evaluating the accuracy of claims about the system is hampered by several factors.

* 9 Rules for Evaluating Web TWAIN Components-A White Paper by Dynamsoft

The First Hybrid Evaluating prototype locomotive was designed and contracted by rail research center MATRAI in 1999 and the sample was ready in 2000.

In March 2009, the Committee on Doctrine of the United States Conference of Catholic Bishops issued a decree ( Guidelines for Evaluating Reiki as an Alternative Therapy ) halting the practice of Reiki by Catholics used in some Catholic retreat centres and hospitals.

* Evaluating the Initial Teaching Alphabet: A Study of the Influence of English Orthography in Learning to Read and Write by John Downing and William Latham ( 1967 ).

* Evaluating the Islamist movement-written by Greg Noakes, an American Muslim who works at the Washington Report

* Broken Promises: Evaluating the Native American Health Care System by the U. S. Commission on Civil Rights, September 2004

* Evaluating two timezones and Daylight Saving Time for India, by Viral Shah & Vikram Aggarwal.

Evaluating the situation in Romania, he identified the two main pro-Entente political forces of the moment, the groups led by Take Ionescu and Nicolae Filipescu, with, respectively, " corruption " and " reaction ".

* " Evaluating MapReduce for Multi-core and Multiprocessor Systems " — paper by Colby Ranger, Ramanan Raghuraman, Arun Penmetsa, Gary Bradski, and Christos Kozyrakis ; from Stanford University

* Evaluating ROI in State Disease Management Programs by Thomas W. Wilson ( AcademyHealth State Coverage Initiatives Issue Brief, Vol.

* Evaluating Web Sites for Accessibility, a suite of documents about subjects such as conformance evaluation, evaluation approaches for specific contexts, involving users in web accessibility evaluation, and selecting web accessibility evaluation tools

Evaluating the riots of 1967, Newark educator Nathan Wright, Jr. said, " No typical American city has as yet experienced such a precipitous change from a white to a black majority.