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The Griewank test function is a smooth multidimensional mathematical function used in unconstrained optimization. It is commonly employed to evaluate
Griewank_function
Functions used to evaluate optimization algorithms
In applied mathematics, test functions, known as artificial landscapes, are useful to evaluate characteristics of optimization algorithms, such as convergence
Test functions for optimization
Test_functions_for_optimization
Optimization algorithm for artificial neural networks
Mathematics. 16 (2): 146–160. doi:10.1007/bf01931367. S2CID 122357351. Griewank, Andreas (2012). "Who Invented the Reverse Mode of Differentiation?". Optimization
Backpropagation
Numerical calculations carrying along derivatives
accumulation was introduced by R. E. Wengert in 1964. According to Andreas Griewank, reverse accumulation has been suggested since the late 1960s, but the
Automatic_differentiation
Adjusting pitches of guitar strings
cited by Sethares (2011). Retrieved 10 June 2012. Griewank (2010, p. 9) Griewank (2010, p. 2) Griewank (2010, p. 10) Denyer (1992, p. 121) Sethares (2001
Guitar_tunings
Set of notes played on a guitar
context". Kolb (2005, Chapter 5: Triads, Major and minor triads, pp. 30-31) Griewank (2010, p. 5) Denyer 1992, "The beginner: The three-chord theory, Chords
Guitar_chord
Finnish mathematician and computer scientist
(Mathematician and Computer Scientist)". OnThisDay.com. Retrieved 2024-04-06. Griewank, Andreas (2012). "Who Invented the Reverse Mode of Differentiation?" (PDF)
Seppo_Linnainmaa
tuning". m3guitar.com. cited by Sethares (2011) and Griewank (2010, p. 1). Retrieved 10 June 2012. Griewank (2010, p. 10) Sethares (2001, "Regular tunings"
Repetitive_tuning
Non-linear statistical modeling software suite
Project. Archived from the original on 2010-04-18. Retrieved 2009-05-14. A. Griewank and G. F.Corliss (eds). Automatic differentiation of algorithms: theory
ADMB
Type of eye cancer
doi:10.1038/nature07586. PMC 2696133. PMID 19078957. Van Raamsdonk CD, Griewank KG, Crosby MB, Garrido MC, Vemula S, Wiesner T, Obenauf AC, Wackernagel
Uveal_melanoma
Mathematics. 16 (2): 146–160. doi:10.1007/BF01931367. S2CID 122357351. Griewank, Andreas (2012). "Who Invented the Reverse Mode of Differentiation?". Documenta
Timeline_of_machine_learning
Music notation software
2017. "Overview of LilyPond architecture". Retrieved March 21, 2015. Griewank, Andreas (January 4, 2010). "Tuning guitars and reading music in major
LilyPond
Study of uncertainty in the output of a mathematical model or system
Analysis: Applications to Large-Scale Systems. Vol. II. Chapman & Hall. Griewank, A. (2000). Evaluating Derivatives, Principles and Techniques of Algorithmic
Sensitivity_analysis
American mathematician (1925–2013)
prompting from editor Griewank, Flanders included application of the algorithm to automatic differentiation of implicit functions. Recalling his early
Harley_Flanders
Fretted string instrument
major 3rd tuning". Ralphpatt.com. Retrieved 10 June 2012. Griewank (2010, p. 10): Griewank, Andreas (January 2010), Tuning guitars and reading music in
Guitar
Class of artificial neural network
the local rounding errors (MSc) (in Finnish). University of Helsinki. Griewank, Andreas; Walther, Andrea (2008). Evaluating Derivatives: Principles and
Recurrent_neural_network
optimization SU2 code Leugering, Günter; Benner, Peter; Engell, Sebastian; Griewank, Andreas; Harbrecht, Helmut; Hinze, Michael; Rannacher, Rolf; Ulbrich,
PDE-constrained_optimization
Protein-coding gene in the species Homo sapiens
PMC 3184199. PMID 21874000. Wiesner T, Obenauf AC, Murali R, Fried I, Griewank KG, Ulz P, Windpassinger C, Wackernagel W, Loy S, Wolf I, Viale A, Lash
BAP1
Expression in calculus
Foundations of Analysis. CRC Press. p. 127. ISBN 978-1-4822-2075-9. Andreas Griewank; Andrea Walther (2008). Evaluating Derivatives: Principles and Techniques
Difference_quotient
167–172 vol.2. doi:10.1109/IJCNN.2000.857892. ISBN 978-0-7695-0619-7. Griewank, Andreas (1 January 2012), "Who invented the reverse mode of differentiation
History of artificial neural networks
History_of_artificial_neural_networks
113.3001N, doi:10.1029/2007JC004333, hdl:11858/00-001M-0000-0011-FA10-E Griewank, P. J., Notz, D. (2013), "Insights into brine dynamics and sea ice desalination
Sea_ice_growth_processes
Period of social, political and economic change in Prussia (1800s–20s)
(1995), p. 222 Demel & Puschner (1995), p. 217 Nipperdey (1998), p. 33 Griewank (2003), p. 14 Türk, Lemke & Bruch (2006), p. 104 Clark, Christopher (2006)
Prussian_Reform_Movement
on 21 October 2011. Retrieved 9 October 2012. Sethares (2001, pp. 56) Griewank, Andreas (1 January 2010), Tuning guitars and reading music in major thirds
List_of_guitar_tunings
Synthetic Calculus – A Paradigm of Mathematical Program Synthesis, in A. Griewank and G.F. Corliss, eds., Automatic Differentiation of Algorithms: Theory
PROSE_modeling_language
GRIEWANK FUNCTION
GRIEWANK FUNCTION
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, a high Egyptian functionary.
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, Functionary of the Interior.
Biblical
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Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Male
Celtic
, great justiciary, or functionary.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Male
Egyptian
, a great functionary.
Male
Egyptian
, the son of the functionary Heknofre.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
GRIEWANK FUNCTION
GRIEWANK FUNCTION
Boy/Male
Danish, Finnish, Hindu, Indian
His Name is God
Boy/Male
German
Prosperous Wolf
Girl/Female
Hindu, Indian
A Winning Girl
Girl/Female
Greek Latin
Manly. Brave. Feminine form of Andrew.
Male
Native American
Native American Algonquin name ABOOKSIGUN means "wildcat."
Girl/Female
Tamil
Surname or Lastname
English
English : metonymic occupational name for a maker or seller of parchment (Old French parcheminier). This name is common in Jamaica.
Girl/Female
Muslim
Sweetheart
Girl/Female
Australian, Irish
God is Gracious
Girl/Female
Indian, Sikh
Remembering the Name of the Lord
GRIEWANK FUNCTION
GRIEWANK FUNCTION
GRIEWANK FUNCTION
GRIEWANK FUNCTION
GRIEWANK FUNCTION
v. i.
To execute or perform a function; to transact one's regular or appointed business.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
prep.
Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.
v. t.
To assign to some function or office.
n.
Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
One deputed or authorized to perform the functions of another; a substitute in office; a deputy.
a.
Of, pertaining to, or designating, certain secret tribunals which flourished in Germany from the end of the 12th century to the middle of the 16th, usurping many of the functions of the government which were too weak to maintain law and order, and inspiring dread in all who came within their jurisdiction.
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
n.
The doctrine that all the functions of a living organism are due to an unknown vital principle distinct from all chemical and physical forces.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
v. i.
Alt. of Functionate
a.
Destitute of function, or of an appropriate organ. Darwin.
a.
Of or pertaining to the vessels of animal and vegetable bodies; as, the vascular functions.
a.
Having relation to growth or nutrition; partaking of simple growth and enlargement of the systems of nutrition, apart from the sensorial or distinctively animal functions; vegetal.
pl.
of Functionary
a.
Pertaining to, or connected with, a function or duty; official.
adv.
In a functional manner; as regards normal or appropriate activity.
a.
Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions.