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See searches and references containing OPTIMAL SUBSTRUCTURE!OPTIMAL SUBSTRUCTURE
Property of a computational problem
computer science, a problem is said to have optimal substructure if an optimal solution can be constructed from optimal solutions of its subproblems. This property
Optimal_substructure
Necessary condition for optimality associated with dynamic programming
Optimality condition in optimal control theory Markov decision process – Mathematical model for sequential decision making under uncertainty Optimal control
Bellman_equation
Problem optimization method
solved optimally by breaking it into sub-problems and then recursively finding the optimal solutions to the sub-problems, then it is said to have optimal substructure
Dynamic_programming
Computer science concept
In computer science, an optimal binary search tree (Optimal BST), sometimes called a weight-balanced binary tree, is a binary search tree which provides
Optimal_binary_search_tree
Sequence of operations for a task
programming When a problem shows optimal substructures—meaning the optimal solution can be constructed from optimal solutions to subproblems—and overlapping
Algorithm
Computer programming paradigm
solved optimally by breaking it into sub-problems and then recursively finding the optimal solutions to the sub-problems, then it is said to have optimal substructure
Constraint_programming
due to an exponential complexity. If the problem also shares an optimal substructure property, dynamic programming is a good way to work it out. In the
Overlapping_subproblems
problems exhibiting the properties of overlapping subproblems and optimal substructure Ellipsoid method: is an algorithm for solving convex optimization
List_of_algorithms
Method of exponentiation using a minimal number of multiplications
dynamic programming, because it does not satisfy the assumption of optimal substructure. That is, it is not sufficient to decompose the power into smaller
Addition-chain_exponentiation
Problem in computer science
maximum subarray as well. Because of the way this algorithm uses optimal substructures (the maximum subarray ending at each position is calculated in a
Maximum_subarray_problem
Overview of and topical guide to algorithms
problems with overlapping subproblems and optimal substructure Greedy algorithm — algorithm that makes locally optimal choices Backtracking — search technique
Outline_of_algorithms
Algorithmic problem on pairs of sequences
subsequences must be at least exponential. The LCS problem has an optimal substructure: the problem can be broken down into smaller, simpler subproblems
Longest_common_subsequence
optimization — studies problems in which one problem is embedded in another Optimal substructure Dykstra's projection algorithm — finds a point in intersection of
List of numerical analysis topics
List_of_numerical_analysis_topics
Branch of modern economics
Hamilton–Jacobi–Bellman equation Markov decision process Optimal control theory Optimal substructure Recursive competitive equilibrium Bellman pseudospectral
Recursive_economics
Type of computing function
CPU-bound Dynamic programming I/O-bound Memoization Memory-hard function Optimal substructure Proof of work Recursion Memory bottleneck Dwork, Cynthia; Naor, Moni
Memory-bound_function
Influence of local substructure of a graph on global properties
graph theory studies how global properties of a graph influence local substructure. Results in extremal graph theory deal with quantitative connections
Extremal_graph_theory
Straddling checkerboard Subsequence Longest common subsequence problem Optimal-substructure Subset sum problem Symmetric functions Szemerédi's theorem Thue–Morse
Index of combinatorics articles
Index_of_combinatorics_articles
Data structure for approximate set membership
positive probability ε (and assuming the optimal value of k is used) can be computed by substituting the optimal value of k in the probability expression
Bloom_filter
FETI method (finite element tearing and interconnect) is an iterative substructuring method for solving systems of linear equations from the finite element
FETI
Stadium in the city of Gelsenkirchen, Germany
pitch. Supported by a 11,400-tonne (11,200-long-ton; 12,600-short-ton) substructure, the playing field can be moved in and out of the stadium within four
Arena_AufSchalke
Data mining for patterns in molecule data
pharmacophores for 3D structure of molecules MCS-HSCS (Highest Scoring Common Substructure (HSCS) ranking strategy for single MCS) Small Molecule Subgraph Detector
Molecule_mining
Medicine focused on hereditary disorders
and account for population substructure, but these methods can be difficult to apply in practice. Population substructure also can be used to advantage
Medical_genetics
Skyscraper complex in Milan, Italy
screen facade made of porcelain stoneware slabs (55×120×1.4 cm). The substructure is composed of aluminum uprights. Similarly, the walls separating the
Bosco_Verticale
Aligning molecular sequences using sequence and structural information
especially in remote homologs. The optimal "threading" of a protein sequence onto a known structure and the production of an optimal multiple sequence alignment
Structural_alignment
Type of area in the nervous system
Cold Spring Harbor Laboratory formulated the optimal balance of the four variables and calculated the optimal ratio of axon plus dendrite volume (i.e. the
Neuropil
Mass spectrometry software
and do not influence the ranking of structure candidates. Substructure Annotations: Substructure annotations serve as a visualization tool to illustrate
SIRIUS_(software)
Technique for optimal borehole placement
Geosteering is the optimal placement of a wellbore based on the results of realtime downhole geological and geophysical logging measurements rather than
Geosteering
Clustering and community detection algorithm
limit problem is that, for some graphs, maximizing modularity may cause substructures of a graph to merge and become a single community and thus smaller structures
Leiden_algorithm
Chemical compound
Decarbamoylsaxitoxin contains two guanidine substructures which can be protonated easily. Protonation of the guanidine substructures leads to a positive charge on the
Decarbamoylsaxitoxin
Pyramid complex of the last pharaoh to be buried at Abusir
nearly 52 m (171 ft; 99 cu) tall pyramid to a mound of ruins, with a substructure that is dangerous to enter due to the risk of cave-ins. Adjoining the
Pyramid_of_Nyuserre
Detail hidden to optical microscopes
organization of cells. This new area of research concerned itself with substructure, also known as the ultrastructure. Many scientists use ultrastructural
Ultrastructure
aid, and solve architectural design problems, such as optimal floorplan layout design, optimal circulation paths between rooms, sustainability and the
Architectural design optimization
Architectural_design_optimization
Software for visualizing chemical structures
extensions. If substructures are obtained from the experimental data, the generation starts with these substructures. These substructures provide known
Chemical_graph_generator
Homodimeric protein enzyme
alkaline phosphatase production. The optimal pH for the activity of the E. coli enzyme is 8.0 while the bovine enzyme optimum pH is slightly higher at 8.5. Alkaline
Alkaline_phosphatase
functional analysis studying operators. Optimal control theory a generalization of the calculus of variations. Optimal maintenance Orbifold theory Order theory
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Genus of diatoms
of silica cell wall morphogenesis in the diatom Cyclotella cryptica: Substructure formation and the role of microfilaments. Journal of Structural Biology
Cyclotella
Statement in mathematical combinatorics
seeks regularity amid disorder: general conditions for the existence of substructures with regular properties. In this application it is a question of the
Ramsey's_theorem
Television transmitted over a computer network
name "WebTV" in 2011. Türk Telekom started building the fibre optic substructure for IPTV in late 2007. IPTV has been widely used since around 2002[citation
Internet_Protocol_television
Area of discrete mathematics
the members of a class Characterizing a class in terms of forbidden substructures Ascertaining relationships among classes (e.g. does one property of
Graph_theory
languages other than English. proper If, for some notion of substructure, objects are substructures of themselves (that is, the relationship is reflexive)
Glossary of mathematical jargon
Glossary_of_mathematical_jargon
Algorithm for listing maximal cliques
2: 1–6, doi:10.1137/0202001. Chen, Lingran (2004), "Substructure and maximal common substructure searching", in Bultinck, Patrick (ed.), Computational
Bron–Kerbosch_algorithm
Central nervous system stimulant
release of dopamine in the dorsal striatum and nucleus accumbens core (a substructure within the ventral striatum), but not the nucleus accumbens shell, by
Caffeine
Pigment-bearing organelle in plant cells
allowing for the identification of substructures such as globules, crystals, membranes, fibrils and tubules. The substructures found in chromoplasts are not
Chromoplast
Barrier that stops or restricts the flow of surface or underground streams
321–353. ISBN 0442243979. Retrieved 20 April 2026. Gerwick, Ben (2014). "Substructures of Major Overwater Bridges". In Chen, Wai-Fah; Duan, Lian (eds.). Bridge
Dam
Optimal data structure for priority queues
root. Like ordinary Fibonacci heaps, strict Fibonacci heaps possess substructures similar to binomial heaps. To identify these structures, we label every
Strict_Fibonacci_heap
Digestive system in humans
for the manipulation of food (and speech); the range of manipulation is optimally controlled by the action of several muscles and limited in its external
Human_digestive_system
Tree data structure
than accessing a leaf, because of the reduced bandwidth time. Thus the substructure of leaves in fractal tree indexes, as compared to Bε trees allows both
Fractal_tree_index
Dental restoration for missing teeth
the porcelain is composed of two layers (one opaque to cover the metal substructure and another translucent to provide an enamel illusion). Still several
Bridge_(dentistry)
Designer drugs
5F-PB-22 were the first synthetic cannabinoids to include a quinoline substructure and an ester linkage. These compounds are thought to have been synthesized
Synthetic_cannabinoids
Catalysis of chemical reactions by enzymes
operate near catalytic efficiency limits, and many enzymes are far from optimal. Important factors in enzyme catalysis include general acid and base catalysis
Enzyme_catalysis
topological) graphs, except that now we look for monochromatic (one-colored) substructures satisfying certain geometric conditions. One of the first results of
Topological_graph
Blessing RH (1998). "The use of Snb to determine an anomalous scattering substructure". Acta Crystallographica D. 54 (Pt 5): 799–804. Bibcode:1998AcCrD..54
Multi-wavelength anomalous diffraction
Multi-wavelength_anomalous_diffraction
countermeasure is to switch to alternative population models which introduce substructures into the population that preserve genotypic diversity over a longer
Premature_convergence
Standard for describing objects for additive manufacturing
to nonlinear material gradients as well as periodic and non-periodic substructure. The proportion formula can also refer to a texture map using the tex(textureid
Additive manufacturing file format
Additive_manufacturing_file_format
Water distribution structure in Olympia, West Greece Region, Greece
distant elevated terrain, say a stream or copious springs. This one had substructures, statues, and ornately patterned stonework; its main purpose, however
Nymphaeum_(Olympia)
Blessing RH (1998). "The use of Snb to determine an anomalous scattering substructure". Acta Crystallogr D. 54 (Pt 5): 799–804. Bibcode:1998AcCrD..54..799S
Single-wavelength anomalous diffraction
Single-wavelength_anomalous_diffraction
Dental prosthetic that recreates the visible portion of a tooth
termed bi-layered). Alumina (aluminium oxide) was introduced as a dental substructure (core) in 1989 when the material was slip cast, sintered, and infiltrated
Crown_(dental_restoration)
Road-rail bridge over the Menai Strait
level as the original tracks. With the exception of the original stone substructure, the structure was completely rebuilt by Cleveland Bridge & Engineering
Britannia_Bridge
Scanning electron microscopy technique
(2015). "About quantitative EBSD analysis of deformation and recovery substructures in pure Tantalum". IOP Conference Series: Materials Science and Engineering
Electron backscatter diffraction
Electron_backscatter_diffraction
Chemical compound
tetragonal in symmetry whereas brookite is orthorhombic. The oxygen substructures are all slight distortions of close packing: in rutile, the oxide anions
Titanium_dioxide
American academic administrator (1927–1997)
methods, solid- and shell-element formulations, and the super-element substructuring technique." During his time at Bell, Gallagher taught and studied for
Richard_H._Gallagher
Hydrocarbon composed of multiple aromatic rings
important for the characterization of the properties of that PAH. Benzene-substructure resonance analysis for Clar's rule Phenanthrene Anthracene Chrysene For
Polycyclic aromatic hydrocarbon
Polycyclic_aromatic_hydrocarbon
Health based on racial identity
account for population substructure, but these methods can be difficult to apply in practice. Population genetic substructure also can aid genetic association
Race_and_health
Organic compound with a –C≡N functional group
Rilpivirin, are used in combination therapies against HIV. The acrylonitrile substructure of rilpivirine penetrates an aromatic cage composed of tyrosine, phenylalanine
Nitrile
wetter. The peoples of Africa are characterized by regional genetic substructure and heterogeneity, depending on the respective ethno-linguistic identity
Genetic_history_of_Africa
Period of Swiss prehistory from 2200 to 800 BC
water levels. Even with raised floors, as at Greifensee-Böschen, the substructure height reaches only 0.7-1.25 meters, one meter below the surface (before
Bronze_Age_in_Switzerland
August 2024 concert residency by Adele
arrived on 1 July and began construction, including the black steel substructure. Live Nation and Leutgeb Entertainment Group were responsible for the
Adele_in_Munich
Interdisciplinary field of biology
curves in the brain; 2-dimensional manifolds correspond to boundaries of substructures in anatomy such as the subcortical structures of the midbrain or the
Computational_anatomy
Class of mechanoreceptors found in insects
Alexander (May 2022). "Ultra high-resolution biomechanics suggest that substructures within insect mechanosensors decisively affect their sensitivity". Journal
Campaniform_sensilla
Ability of bacteria to move independently using metabolic energy
between 200 and 2000 rpm, depending on the bacterial species. The hook substructure of the bacterial flagellum acts as a universal joint connecting the motor
Bacterial_motility
Region within a prokaryotic cell containing genetic material
fluorescence intensity distribution in the cross-sections revealed a density substructure, consisting of curved, high-density regions or bundles at the central
Nucleoid
Population models of evolutionary algorithms
is therefore obvious to divide the previously global population by substructures. Two basic models were introduced for this purpose, the island models
Population model (evolutionary algorithm)
Population_model_(evolutionary_algorithm)
Presence of unwanted moisture in the structure of a building
humidity is produced by poor drainage systems. This leads to dampness in substructures such as crawlspaces and basements. The dampness results in vaporization
Damp_(structural)
Branch of statistics mathematics
(link) Chiou, JM; Li, PL. (2007). "Functional clustering and identifying substructures of longitudinal data". Journal of the Royal Statistical Society, Series
Functional_data_analysis
Type of inference
execution of an experiment, thereby ensuring quality data acquisition. Optimal experimental design in principle refers to the use of statistical and or
Biological_network_inference
Brain region
nucleus basalis), stria terminalis, prefrontal cortex, various brain stem substructures, including the rostral ventromedial medulla, rostral ventrolateral medulla
Lateral_hypothalamus
to serve particular functions. Cells vary widely in size, shape, and substructure, particularly between prokaryotes and eukaryotes. The typical cell is
Glossary of cellular and molecular biology (0–L)
Glossary_of_cellular_and_molecular_biology_(0–L)
List of concepts in artificial intelligence
used in many fields of computer science due to its completeness, optimality, and optimal efficiency. abductive logic programming (ALP) A high-level
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
Physical phenomenon
character, ductility, and various mechanical moduli all depend on the substructure of the materials over a range of scales. The opportunity to redevelop
Self-assembly of nanoparticles
Self-assembly_of_nanoparticles
Theory in the domain of evolutionary biology
over-sampled by mutation. A similar point has been made in regard to substructures of regulatory networks (see also ). The above results apply, as before
Bias in the introduction of variation
Bias_in_the_introduction_of_variation
2536430100. PMC 307563. PMID 14676318. Zuker M, Stiegler P (January 1981). "Optimal computer folding of large RNA sequences using thermodynamics and auxiliary
List of RNA structure prediction software
List_of_RNA_structure_prediction_software
Type of sub-graph
approaches like MODA and GK algorithms. Taking advantage of common substructures in the sense that at a given time there is a partial isomorphic match
Network_motif
Study of the nervous system
erection. Computational neuromorophology examines neurons and their substructures by cutting them into slices and studying these different subsections
Neuromorphology
of HGT events, genome spectral approaches decompose a gene tree into substructures (such as bipartitions or quartets) and identify those that are consistent
Inferring horizontal gene transfer
Inferring_horizontal_gene_transfer
Egyptian pharaoh
construction to allow for simultaneous works on the pyramid filling and its substructures. This construction technique is common to all pyramids of the Fifth
Shepseskare
Cytoplasmic biomolecular condensates of proteins and RNA occurring in cells under stress
2016). "ATPase-Modulated Stress Granules Contain a Diverse Proteome and Substructure". Cell. 164 (3): 487–498. doi:10.1016/j.cell.2015.12.038. PMC 4733397
Stress_granule
Antiparasite defence mounted for the benefit of individuals other than the actor
a constitutive and an induced component. The innate, organisational substructure of social insect colonies may provide constitutional protection of the
Social_immunity
Pharaoh of Egypt
on a corner block at the end of the corridor leading to the pyramid substructures. The inscription was written on the fourth day of the Akhet season in
Neferefre
Historic site in New South Wales, Australia
and concrete and features a steel lift-span on an iron and concrete substructure with two large De Burgh composite timber-steel truss spans. The three
Old_Cobram-Barooga_Bridge
Development approach in manufacturing industry
van der Vlak, P.L.C.; Rixen, D.J. (2011). "A Truly Hybrid Approach to Substructuring Problems Using Mixed Assembly and Implicit Solving Strategies". Linking
Predictive engineering analytics
Predictive_engineering_analytics
Former tram company in Berlin and Charlottenburg
1878. In addition to smoke nuisance, it turned out that the super- and substructure were too weak for the locomotives. In 1881/82, the tram started a second
Berlin-Charlottenburg_tram
Cenozoic eutropical subsea
from Georgia. Two deep carbonate features will eventually become the substructure of the Everglades. Basilosaurus cetoides and Zygorhiza, early toothed
Okeechobean_Sea
Museum in Cologne
this was not considered optimal, it allowed for a somewhat larger permanent exhibition. Since there was no depot, the substructures of the showcases were
Kölnisches_Stadtmuseum
Church in Thuringia, Germany
towers on the west rail, which statically did not harmonise optimally with the older substructure and are unsuitable to accommodate mighty bells, belong to
Liebfrauenkirche,_Arnstadt
OPTIMAL SUBSTRUCTURE
OPTIMAL SUBSTRUCTURE
Boy/Male
Tamil
The primal God
Boy/Male
Hindu, Indian, Marathi
The Primal God
Girl/Female
Tamil
Girl/Female
Indian
Optional
Girl/Female
Hindu, Indian
The Primal Energy
Girl/Female
Hindu
Boy/Male
Tamil
To do something systematically, Optimum utilization of resources
Boy/Male
Indian, Sanskrit
The Primal Head of Religious Sacrifice
Boy/Male
Gujarati, Hindu, Indian, Kannada, Marathi, Punjabi, Sikh
Lord Shiva; God's Name; Primal Being
Boy/Male
Hindu, Indian
To do Something Systematically or Optimum Utilization of Resources
Girl/Female
Hindu, Indian
The Primal Mother
Girl/Female
Hindu, Indian, Traditional
The Primal Lakshmi
Boy/Male
Indian, Sanskrit
The Primal Residue
Girl/Female
Hindu, Indian
Primal; A Wife of Agni
Boy/Male
Hindu
To do something systematically, Optimum utilization of resources
Boy/Male
Hindu
The primal God
Boy/Male
Indian, Sanskrit
The Primal Root
Boy/Male
Arabic, Muslim
First; New; Another Name for God; Novel; Primal
Boy/Male
Indian, Sanskrit
One God; The Primal God
Boy/Male
Indian, Sanskrit
The Primal Idol
OPTIMAL SUBSTRUCTURE
OPTIMAL SUBSTRUCTURE
Boy/Male
English American Teutonic
Lives in the valley. Surname.
Girl/Female
Arabic, Muslim
Scent; Flavour
Male
Welsh
Variant spelling of Welsh Meirion, MERRION means "like Marius."
Boy/Male
Tamil
Lord Indra
Girl/Female
Assamese, Christian, Gujarati, Hindu, Indian, Kannada, Marathi, Telugu
Noble by Birth; True
Surname or Lastname
Irish
Irish : reduced Anglicized form of Gaelic Ó Fionnaláin ‘descendant of Fionnalán’, a personal name from a diminutive of fionn ‘fair’, ‘white’ (see Finn 1).English (Huguenot) : altered form of French Fénelon (see Fenelon).
Boy/Male
Sikh
Grandeur of Guru
Boy/Male
Hindu
Girl/Female
Arabic
Happiness
Girl/Female
Hindu
To listen, Obedient
OPTIMAL SUBSTRUCTURE
OPTIMAL SUBSTRUCTURE
OPTIMAL SUBSTRUCTURE
OPTIMAL SUBSTRUCTURE
OPTIMAL SUBSTRUCTURE
a.
Involving an option; depending on the exercise of an option; left to one's discretion or choice; not compulsory; as, optional studies; it is optional with you to go or stay.
a.
Relating to the science of optics; as, optical works.
a.
Alt. of Optical
n.
See Elective, n.
a.
One who deals in optical glasses and instruments.
a.
Of or pertaining to the eye; ocular; as, the optic nerves (the first pair of cranial nerves) which are distributed to the retina. See Illust. of Brain, and Eye.
n.
The space covered by an optical instrument at one view.
n.
Of or pertaining to the science of vision; optical.
n.
Collectively, the nobility.
n.
Government by the nobility.
n.
An instrument for showing the optical effects of color.
a.
Of or pertaining to the nobility or aristocracy.
n.
A reflecting optical glass or instrument; a mirror.
n.
An optical glass; a telescope.
n.
One of those who stand in the second rank of honors, immediately after the wranglers, in the University of Cambridge, England. They are divided into senior and junior optimes.
adv.
In an optional manner.
a.
Of or pertaining to vision or sight.
n.
An optical toy similar to the phenakistoscope. See Phenakistoscope.
n.
A nobleman or aristocrat; a chief man in a state or city.
n.
An optical glass that is convex on both sides.