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In circuit complexity, AC is a complexity class hierarchy. Each class, ACi, consists of the languages recognized by Boolean circuits with depth O ( log
AC_(complexity)
Topics referred to by the same term
academic institutions in many countries AC (complexity), a hierarchy of complexity classes found in circuit complexity AC, initialism of access control Artificial
AC
computational complexity of artificial neural networks. The relationship between the TC, NC and the AC hierarchy can be summarized as follows: NC i ⊆ AC i ⊆ TC
TC_(complexity)
Model of computational complexity
{P/poly}}} would separate P and NP (see below). Complexity classes defined in terms of Boolean circuits include AC0, AC, TC0, NC1, NC, and P/poly. A Boolean circuit
Circuit_complexity
Class in computational complexity theory
}{=}}{\mathsf {P}}} More unsolved problems in computer science In computational complexity theory, the class NC (for "Nick's Class") is the set of decision problems
NC_(complexity)
Inherent difficulty of computational problems
In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource
Computational complexity theory
Computational_complexity_theory
Complexity class of bounded-depth circuits
AC0 (alternating circuit) is a complexity class used in circuit complexity. It is the smallest class in the AC hierarchy, and consists of all families
AC0
Set of problems in computational complexity theory
In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly
Complexity_class
Self-managing characteristics of distributed computing resources
computing (AC) is distributed computing resources with self-managing characteristics, adapting to unpredictable changes while hiding intrinsic complexity to operators
Autonomic_computing
Branch of mathematical logic
Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic
Descriptive_complexity_theory
of complexity classes in computational complexity theory. For other computational and complexity subjects, see list of computability and complexity topics
List_of_complexity_classes
Process in power generation
systematically controlled for synchronization. This extra complexity was one of the arguments against AC operation during the war of currents in the 1880s. In
Synchronization (alternating current)
Synchronization_(alternating_current)
Model of computation
In computational complexity theory and circuit complexity, a Boolean circuit is a mathematical model for combinational digital logic circuits. A formal
Boolean_circuit
Unsolved problem in computer science
Foundations of Computer Science". www.cs.ox.ac.uk. Retrieved 25 May 2020. Colbourn, Charles J. (1984). "The complexity of completing partial Latin squares".
P_versus_NP_problem
ACC, is a class of computational models and problems defined in circuit complexity, a field of theoretical computer science. The class is defined by augmenting
ACC0
Subfield of information theory and computer science
than writing down the string itself. More formally, the algorithmic complexity (AC) of a string x is defined as the length of the shortest program that
Algorithmic information theory
Algorithmic_information_theory
Algorithms in constraint satisfaction
In constraint satisfaction, the AC-3 algorithm (short for Arc Consistency Algorithm #3) is one of a series of algorithms used for the solution of constraint
AC-3_algorithm
In computational complexity theory, DLOGTIME is the complexity class of all computational problems solvable in a logarithmic amount of computation time
DLOGTIME
Analysis of Syntactic Complexity measures in the Academic Writing of EFL, ESL, and Native English Master's Students" (PDF). Birmingham.ac.uk. 12 September
L2 Syntactic Complexity Analyzer
L2_Syntactic_Complexity_Analyzer
The Sparse Matrix Converter is an AC/AC converter which offers a reduced number of components, a low-complexity modulation scheme, and low realization
Sparse_matrix_converter
Model of computation
complexity Boolean circuit Circuit complexity Circuits over sets of natural numbers The complexity classes NC, AC and TC Quantum circuit and BQP Vollmer
Circuit_(computer_science)
Automobile manufacturer in US
AC Propulsion is a San Dimas, California, USA company founded in 1992 by Alan Cocconi, Wally Rippel, and Paul Carosa, that specializes in alternating current-based
AC_Propulsion
Topics referred to by the same term
candidate phylum of bacteria AC1, a complexity class in circuit complexity AC1 Sentinel, an Australian cruiser tank AC-1, an IEC Utilization Category Action
AC1
Australian scientist, president of the Royal Society (1936–2020)
an interest in animal population dynamics and the relationship between complexity and stability in natural communities. He was able to make major advances
Robert May, Baron May of Oxford
Robert_May,_Baron_May_of_Oxford
Professor
particular on computational complexity theory, game theory and probabilistic systems. Etessami is one of the inventors of the complexity class FIXP. "Kousha Etessami"
Kousha_Etessami
Computer scientist and quantum computing researcher
Bibliography Server Kashefi, Elham (2003). Complexity analysis and semantics for quantum computation. imperial.ac.uk (PhD thesis). Imperial College London
Elham_Kashefi
Implicit computational complexity (ICC) is a subfield of computational complexity theory that characterizes programs by constraints on the way in which
Implicit computational complexity
Implicit_computational_complexity
American-Canadian computer scientist, contributor to complexity theory
after Nick Pippenger. The complexity class SC is named after him. The definition of the complexity class AC0 and its hierarchy AC are also introduced by
Stephen_Cook
Algorithm to multiply two numbers
by every digit in the second and adding the results. This has a time complexity of O ( n 2 ) {\displaystyle O(n^{2})} , where n is the number of digits
Multiplication_algorithm
Type of electric motor
The universal motor is a type of electric motor that can operate on either AC or DC power and uses an electromagnet as its stator to create its magnetic
Universal_motor
British academic
2010) Handbook on Complexity and Public Policy, co-authored with Paul Cairney (Edward Elgar, 2015) "Robert Geyer". www.lancaster.ac.uk. Retrieved 2020-03-16
Robert_Geyer_(academic)
Indian spiritual teacher (1896–1977)
nature, living beings increasingly suffer from entanglement in nature's complexities. As spiritual beings belonging to the "superior energy", the living beings
A. C. Bhaktivedanta Swami Prabhupada
A._C._Bhaktivedanta_Swami_Prabhupada
High-speed train type
to serve as the sole rolling stock for Thalys, but due to the cost and complexity of its quadri-current capability, seven simpler tri-current versions,
PBKA
Computational complexity class of problems
In computational complexity theory, bounded-error quantum polynomial time (BQP) is the class of decision problems solvable by a quantum computer in polynomial
BQP
and complexity, and has been known to engage on the border between art and science. "Takashi Ikegami Lab / 池上高志研究室 - PEOPLE". www.sacral.c.u-tokyo.ac.jp
Takashi_Ikegami
Collection of character sketches
of his progress, than any other writer." As Bentham's thinking gained complexity, his style, unfortunately, deteriorated. "It is a barbarous philosophical
The_Spirit_of_the_Age
Standard for assessing computer system vulnerabilities
vector (AV) shows how a vulnerability may be exploited. The access complexity (AC) metric describes how easy or difficult it is to exploit the discovered
Common Vulnerability Scoring System
Common_Vulnerability_Scoring_System
Aspect of timekeeping
impacts of time policy. DST's clock shifts have the obvious disadvantage of complexity. People must remember to change their clocks; this can be time-consuming
Analysis of daylight saving time
Analysis_of_daylight_saving_time
Semiconductor light source
voltage and generally to DC (not AC) power, the inability to provide steady illumination from a pulsing DC or an AC electrical supply source, and a lesser
Light-emitting_diode
In propositional calculus and proof complexity a propositional proof system (pps), also called a Cook–Reckhow propositional proof system, is a system for
Propositional_proof_system
Algorithm used in relational databases
WriteLine(key); } } Hash join Nested loop join "Sort-Merge Joins". www.dcs.ed.ac.uk. Retrieved 2022-11-02. C# Implementations of Various Join Algorithms
Sort-merge_join
Mathematical operation in linear algebra
this complexity is not optimal, as shown in 1969 by Volker Strassen, who provided an algorithm, now called Strassen's algorithm, with a complexity of O
Matrix_multiplication
Complexity class used in circuit complexity
theoretical computer science, and specifically computational complexity theory and circuit complexity, TC0 (Threshold Circuit) is the first class in the hierarchy
TC0
Complexity class from interactive proofs
In computational complexity theory, the class IP (which stands for interactive proof) is the class of problems solvable by an interactive proof system
IP_(complexity)
Ancient Egyptian religious festivities
difficult art requiring around ten years of study. It is probable that this complexity produced a break between the mass of the Egyptian people and the priests
Mysteries_of_Osiris
Venezuelan computer scientist
recognition of his contributions to the foundations of computational complexity theory and its application to cryptography and program checking". Blum
Manuel_Blum
Chinese computer scientist, physicist, and computational theorist
computation, including the complexity-based theory of pseudorandom number generation, cryptography, and communication complexity". In 2021, Yao received
Andrew_Yao
Instrument of direct democracy in Switzerland
particularly for a subject of such importance, was due to the length and complexity of the debates, as well as the lack of clarity in the voting instructions
Federal_popular_initiative
Smart people like tough problems
research. They have also found several moderating variables, such as task complexity, sex and task type. The difficulty level of the task is one of the key
Neural_efficiency_hypothesis
Complexity class
In computational complexity theory, NP-complete problems are the hardest of the problems to which solutions can be verified quickly. Somewhat more precisely
NP-completeness
Similarity measure for number sequences
the field of data mining. One advantage of cosine similarity is its low complexity, especially for sparse vectors: only the non-zero coordinates need to
Cosine_similarity
Device that converts other energy to electrical energy
current (AC). However many early uses of electricity required direct current (DC). In the first practical electric generators, called dynamos, the AC was converted
Electric_generator
2025 single by Huntrix
purpose of the characters "while also reflecting Rumi's thoughts and the complexity of their role. Thematically, 'Golden' portrays their growth as guardians
Golden_(Huntrix_song)
American professional esports player (1989–2020)
3rd–4th Place 2013 Innkeeper's Invitational Miesner, Andrew. "Complexity Gaming". Complexity Gaming. Archived from the original on June 27, 2012. Retrieved
Reckful
million tonnes per year Nelson Complexity Index 7.8 Nayara Refinery (Rosneft), 406,000 bbl/d (64,500 m3/d) Nelson Complexity Index 12.8 Gujarat Refinery
List_of_oil_refineries
Complexity class
In computational complexity theory, the complexity class 2-EXPTIME (sometimes called 2-EXP, sometimes also written 2EXPTIME) is the set of all decision
2-EXPTIME
Technology of power electronics
of the input and output power: AC to DC (rectifier) DC to AC (inverter) DC to DC (DC-to-DC converter) AC to AC (AC-to-AC converter) Power electronics started
Power_electronics
Method and process of certifying, verifying, and registering land ownership in Scotland
this litigation took over 12 years to conclude demonstrates the legal complexities at work in this area. The decision of the House of Lords in Sharp v Thomson
Land_registration_(Scots_law)
Total cost divided by number of goods produced
cost (AC) or unit cost is equal to total cost (TC) divided by the number of units of a good produced (the output Q): A C = T C Q . {\displaystyle AC={\frac
Average_cost
Overview of genetic research on Pleistocene epoch archaic and early modern humans"
Stefano, eds. (2022). Updating neanderthals: understanding behavioral complexity in the Late Middle Paleolithic. London, UK: Academic Press, an imprint
Genetic history of Pleistocene humans
Genetic_history_of_Pleistocene_humans
Majungasaurus and Rahonavis, providing evidence of increase of pneumatic complexity in early paravians compared to members of Ceratosauria, is published by
2024 in archosaur paleontology
2024_in_archosaur_paleontology
Benzofury AMT MDA MDMA Ecstasy Molly Hallucinogens Psychedelics 2C-B 25I-NBOMe 4-AcO-DMT 5-MeO-DMT Psychoactive toads Bufotenin Vilca Yopo DMT Ayahuasca LSA and
Legal status of psilocybin mushrooms
Legal_status_of_psilocybin_mushrooms
Matrix normal form
satisfies a Bézout's identity gcd ( a , b ) = a c + b d {\displaystyle \gcd(a,b)=ac+bd} for some c , d ∈ R {\displaystyle c,d\in R} . To put a matrix into Smith
Smith_normal_form
American computer scientist
Michael Ralph Fellows AC HFRSNZ MAE (born June 15, 1952 in Upland, California) is a computer scientist and the Elite Professor of Computer Science in the
Michael_Fellows
Setting of works by Jane Austen
in contrast, expands on Darcy’s role, with added scenes revealing a complexity of character that is only hinted at in the novel. The visual medium is
Jane Austen's literary universe
Jane_Austen's_literary_universe
The Advisory Circular AC 20-152A, Development Assurance for Airborne Electronic Hardware, identifies the RTCA-published standard DO-254 as defining "an
AC_20-152
is cottage cheese. The term 'yellow gravy' might not do justice to the complexity of flavor you get from layering nine spices, some of them whole, with
List_of_Kashmiri_dishes
Umbrella term used for traditionally nomadic groups
survived in Wales into the 20th century and retained much more grammatical complexity than the Angloromani dialect that had developed in England by that time
Gypsy,_Roma_and_Traveller
sequence data for sequence length, GC content, quality scores, n-plicates, complexity, tag sequences, poly-A/T tails, odds ratios. Filter the data, reformat
List of RNA-Seq bioinformatics tools
List_of_RNA-Seq_bioinformatics_tools
Interdisciplinary field studying perception, cognition, and characteristics of art
and Perceived Complexity of Paintings". Psychology of Aesthetics, Creativity, and the Arts. 4 (4): 196–204. doi:10.1037/a0019211. North, A.C.; Hargreaves
Psychology_of_art
Brazilian presidential administration from 2003 to 2010
through the creation of Dental Specialty Centers for medium- and high-complexity care. The Farmácia Popular (PFPB) is a program of the National Pharmaceutical
First presidency of Lula da Silva
First_presidency_of_Lula_da_Silva
Factors causing Parkinson's disease
PMID 35455941. Kim J, Shulman JM (November 2025). "Pleiotropy and the Increasing Complexity of Parkinson's Disease Genetics". Annals of Neurology. 98 (5): 929–931
Causes_of_Parkinson's_disease
Computation modulo a fixed integer
following is true: If c ≡ d (mod φ(m)), where φ is Euler's totient function, then ac ≡ ad (mod m)—provided that a is coprime with m. If a ≡ b (mod mn), then a
Modular_arithmetic
Italian football executive and former player (born 1972)
maneuvers' from the 2019–20 and 2020–21 fiscal years, adding that 'the complexity of such profiles on valuation elements may be subject to different interpretations
Fabio_Paratici
hemisphere (so-called "Indians") had various levels of socioeconomic complexities. The most complex and extensive at the time of European contact were
Economic history of Latin America
Economic_history_of_Latin_America
Machine that converts electrical energy into mechanical energy
sources, such as from batteries or rectifiers, or by alternating current (AC) sources, such as a power grid, inverters or electrical generators. Electric
Electric_motor
occurs in a number of circumstances and is responsible for much of the complexity of third-weak (or "defective") verbs. Early Akkadian transcriptions of
Standard_Arabic_phonology
Notion in computational complexity theory
In computational complexity theory and game complexity, a parsimonious reduction is a transformation from one problem to another (a reduction) that preserves
Parsimonious_reduction
Country in northwestern Europe
9 March 2024. "Combustion Engines". OEC - The Observatory of Economic Complexity. Archived from the original on 26 May 2025. Retrieved 26 May 2025. "UK
United_Kingdom
Document for guidance of airborne electronic hardware
necessarily considered policy until recognized by the FAA in 2005 through AC 20-152 as a means of compliance for the design assurance of electronic hardware
DO-254
Power supply with switching regulator
increases the complexity and cost. In 2001, the European Union put into effect the standard IEC 61000-3-2 to set limits on the harmonics of the AC input current
Switched-mode_power_supply
1914–1918 global conflict
often taught thematically, invoking simplified tropes that obscure the complexity of the conflict. Historian Heather Jones argues that the historiography
World_War_I
Quality control process in welding
visual indicators. To assist students and trainees, in comprehending the complexities of welding procedures, welding cameras are being used extensively in
Welding_inspection
because of his extravagant multifacetedness, but also because of the complexities of his era. Primary sources on the emperor and his reign are still being
Cultural depictions of Maximilian I, Holy Roman Emperor
Cultural_depictions_of_Maximilian_I,_Holy_Roman_Emperor
Religious statues used for Nyepi in Bali, Indonesia
paper. The creation process takes weeks or even months, depending on the complexity and the number of craftsmen involved. The ogoh-ogoh tradition, as it is
Ogoh-ogoh
conducted on what is now classed as autism. Discussing the syndrome and its complexity frustrated researchers. Controversies have surrounded various claims regarding
History_of_autism
Algorithm for solving the minimum-cost flow problem
2018-01-16. Algoritmo Out-of-Kilter on YouTube (in Spanish) Cambridge, University of (July 2012). "Out of Kilter Algorithm" (PDF). www.maths.cam.ac.uk.
Out-of-kilter_algorithm
connector (IS 17017) (also known as LECCS) is the corresponding combined AC/DC connector standard used in India for light electric vehicles. Type 6 connectors
Type_6_connector
American computer company
registered interest through the region selection page and on logistical complexity. In February 2022, pre-ordering became available for Ireland, Austria
Framework_Computer
Battery electric mid-size crossover SUV
Canadian-owned Austrian contract manufacturer, in order to reduce the complexities and costs related to the building and operating its own factory. Fisker
Fisker_Ocean
integrals may be impractical in some cases due to their computational complexity. As a result, several approximation methods have been developed over time
Perimeter_of_an_ellipse
Natural disaster in Nigeria
consequences are becoming more pronounced in terms of both scale and complexity. The regions most severely affected by drought and desertification are
Natural_disasters_in_Nigeria
Railway electrification system
Three-phase AC railway electrification, which promised some advantages over established DC electric rail power and steam traction, started at the turn
Three-phase AC railway electrification
Three-phase_AC_railway_electrification
Israeli computer scientist
computer science and math at Tel Aviv University. A course on computational complexity theory sparked her research interest through its combination of math and
Irit_Dinur
Special-purpose analog computers
systems were modelled and studied on AC network analyzers (also called alternating current network calculators or AC calculating boards) or transient network
Network_analyzer_(AC_power)
JC, Wei F, Pasternak S, et al. (November 2009). "The B73 maize genome: complexity, diversity, and dynamics". Science. 326 (5956): 1112–5. Bibcode:2009Sci
List of sequenced plant genomes
List_of_sequenced_plant_genomes
Problem in cryptography
See [www.lms.ac.uk]. D. R. L. Brown and R. P. Gallant, The Static Diffie–Hellman Problem, IACR ePrint 2004/306. V. I. Nechaev, Complexity of a determinate
Diffie–Hellman_problem
Analog videocassette recording format
across all tape-speeds (EP, LP or SP.) Since JVC had gone through the complexity of ensuring Hi-Fi's backward compatibility with non-Hi-Fi VCRs, virtually
VHS
List of works on the history of Zambia
J. (2015). Same-Gender Desire, Religion, and Homophobia: Challenges, Complexities, and Progress for LGBTIQ Liberation in Africa. Journal of the American
Bibliography of the history of Zambia
Bibliography_of_the_history_of_Zambia
Australian-American actress (born 1967)
Talk magazine, via "Nicole Kidman – a brief profile of high ability and complexity". Talent Development Resources. Archived from the original on 8 January
Nicole_Kidman
AC COMPLEXITY
AC COMPLEXITY
Surname or Lastname
English
English : habitational name from places in Lancashire and East Yorkshire named Beswick. The second element is clearly Old English wÄ«c ‘outlying (dairy) farm’ (see Wick). The first element of the Lancashire name may be an Old English personal name BÄ“ac; that of the Yorkshire name is possibly an Old Norse personal name BÅsi or Besi.
Surname or Lastname
English
English : habitational name from any of various places so called, for example in Lancashire (near Blackpool) and in North Yorkshire. The former was named in Old English as ‘settlement by the watercourse’, from Old English lÄd ‘watercourse’ + tÅ«n ‘enclosure’, ‘settlement’; the latter as ‘leek enclosure’ or ‘herb garden’, from lÄ“ac ‘leek’ + tÅ«n. Compare Leighton.
Surname or Lastname
English (Sussex)
English (Sussex) : habitational name from any of several places named from Old English ac ‘oak’ + hyrst ‘wooded hill’. The modern spelling of the place name is Oakhurst.
Surname or Lastname
English
English : topographic name for someone living by a pointed hill (or regional name from the Peak District (Old English Pēaclond) in Derbyshire), named with Old English pēac ‘peak’, ‘pointed hill’ (found only in place names). This word is not directly related to Old English pīc ‘point’, ‘pointed hill’, which yielded Pike; there is, however, some evidence of confusion between the two surnames.Possibly also Irish : reduced form of McPeak.Major concentrations of the surname Peak are found in Staffordshire and the West Country of England. Among the earliest known bearers are Richard del Pech or del Pek (d. 1196), son of Rannulf, sheriff of Nottingham, and Willielmus Piec (Winchester 1194). A century later, c.1284, a certain Richard del Peke settled in Denbighshire (now part of Clwyd), Wales, receiving lands from Henry de Lacey, earl of Lincoln, in return for helping to control the region. His descendants, who bear the name Peak(e), can be traced to the present day, and are found in New Zealand and Canada as well as in Britain. Peake is also the name of a family descended from John Pyke, who paid rent to the abbot of Leicester in 1477. The name took various forms, such as Peke and Pick, eventually becoming established as Peak in the 17th century.
Surname or Lastname
English (mainly Berkshire)
English (mainly Berkshire) : apparently a habitational name from a lost or unidentified place, which would derive its name from Old English hrēac ‘mound’ (compare Rackham) or hraca ‘throat’, ‘gulley’ + lēah ‘woodland clearing’.
Surname or Lastname
English
English : habitational name from a place in Sussex, so named from Old English hrÄ“ac ‘mound’, ‘(hay)rick’ (probably the name of a nearby hill) + hÄm ‘homestead’.
Surname or Lastname
English
English : habitational name from any of the numerous places in England so called. Most of them, as for example those in Leicestershire, Lincolnshire (near Gainsborough), Sussex, and West Yorkshire, are named with Old English lēac ‘leek’ + tūn ‘enclosure’. The compound was also used in the extended sense of a herb garden and later of a kitchen garden. Laughton near Folkingham in Lincolnshire, however, was probably named as loc-tūn ‘enclosed farm’ (see Lock 2).English : variant spelling of Lawton.
Surname or Lastname
English
English : habitational name from any of various places so called. Most, as for example those in Bedfordshire, Cambridgeshire, Cheshire, Lancashire, and Shropshire, are named with Old English lēac ‘leek’ + tūn ‘settlement’. Compare Layton.
AC COMPLEXITY
AC COMPLEXITY
Boy/Male
Indian, Punjabi, Sikh
Conscious through Divine Knowledge
Boy/Male
Hindu
Noble
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Welfare; Comfort; Health
Girl/Female
Muslim
Happiness
Girl/Female
English
Medieval English form of the Irish Caitlin. Pure.
Boy/Male
English
Triumphant people; people's victory.
Girl/Female
Australian, Celtic, Christian, Irish
Little Fire; Face
Boy/Male
Hindu
Male
English
Anglicized form of Irish Gaelic Garbhán, GARVAN means "little rough one."
Girl/Female
Australian, British, English, French, German, Latin, Swedish
Florence; Blooming; Flowering; In Bloom
AC COMPLEXITY
AC COMPLEXITY
AC COMPLEXITY
AC COMPLEXITY
AC COMPLEXITY
n.
the residual AC component in the DC current output from a rectifier, expressed as a percentage of the steady component of the current.
n.
That which is complex; intricacy; complication.
n.
Complexity.
n.
An assemblage of parts or organs, either in animal or plant, essential to the performance of some particular function or functions which as a rule are of greater complexity than those manifested by a single organ; as, the capillary system, the muscular system, the digestive system, etc.; hence, the whole body as a functional unity.
n.
A rearrangement or concentration of the different constituents of one or more substances into a distinct and definite compound of greater complexity and molecular weight, often resulting in an increase of density, as the condensation of oxygen into ozone, or of acetone into mesitylene.
n.
The state of being complex; complexity.
pl.
of Complexity
n.
The state of being complex; intricacy; entanglement.
n.
The state of being complex; complexity.
n.
The space included between the boundary lines of two similar parallelograms, the one within the other, with an angle in common; as, the gnomon bcdefg of the parallelograms ac and af. The parallelogram bf is the complement of the parallelogram df.
n.
The state or quality of being intricate or entangled; perplexity; involution; complication; complexity; that which is intricate or involved; as, the intricacy of a knot; the intricacy of accounts; the intricacy of a cause in controversy; the intricacy of a plot.
n.
The act or process of complicating; the state of being complicated; intricate or confused relation of parts; entanglement; complexity.
a.
Of or pertaining to katabolism; as, katabolic processes, which give rise to substances (katastates) of decreasing complexity and increasing stability.