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In linear algebra, a sublinear function (or functional as is more often used in functional analysis), also called a quasi-seminorm, on a vector space...

type of sublinear time algorithm is closely related to property testing and statistics. Other settings where algorithms can run in sublinear time include:...

norm-preserving version with the dominated extension version that uses sublinear functions. Whereas Helly's proof used mathematical induction, Hahn and...

algorithms, hardness of approximation, combinatorial optimization, and sublinear algorithms. Khanna received his undergraduate degrees in computer science...

superlinearly (i.e., faster than linearly). A sequence is said to converge sublinearly (i.e., slower than linearly) if it converges and lim k → ∞ | x k + 1...

continuity that is either concave, or subadditive, or uniformly continuous, or sublinear (in the sense of growth). Actually, the existence of such special moduli...

it may be possible to perform selection in an amount of time that is sublinear in the number of values. As a simple case of this, for data already sorted...

technique derives from Carlsson, Levcopoulos, and O. Petersson's 1990 paper "Sublinear merging and natural merge sort" and Peter McIlroy's 1993 paper "Optimistic...

so that in particular, every norm is also a seminorm (and thus also a sublinear functional). However, there exist seminorms that are not norms. Properties...

ARABIC FULL STOP U+0701 ܁ SYRIAC SUPRALINEAR FULL STOP U+0702 ܂ SYRIAC SUBLINEAR FULL STOP U+1362 ። ETHIOPIC FULL STOP U+166E ᙮ CANADIAN SYLLABICS FULL...

a type of function called a sublinear function. A map p : X → R {\displaystyle p:X\to \mathbb {R} } is called a sublinear function if it is subadditive...

answer. For example, if an algorithm takes a set of data as input, and has sublinear runtime, then the same algorithm can be run repeatedly (or in parallel)...

nonnegative stands in contrast to other classes of functions, such as sublinear functions and real linear functionals, that do allow negative values....

match. GNU grep (and the underlying gnulib DFA) uses such a strategy. Sublinear runtime algorithms have been achieved using Boyer-Moore (BM) based algorithms...

have been used to study algorithms with limited space complexity, and sublinear time algorithms can accurately estimate the number of components. A component...

checkable proofs, approximation, property testing, spectral graph theory, and sublinear algorithms. He also ran a blog, in theory, about theoretical computer...

language texts or samples of particular stochastic processes grow as a sublinear power of the sample length, possibly in addition to the term that is linear...

for U+0709 SYRIAC SUBLINEAR COLON SKEWED RIGHT L2/12-188 N4272 Anderson, Deborah (2012-05-08), Naming error for U+0709 SYRIAC SUBLINEAR COLON SKEWED RIGHT...

better asymptotic complexity, and was the first sieve with a running time sublinear in the specified bound. Its asymptotic running-time has not been improved...

enables elements (or mappings) to be located, inserted, or deleted in sublinear time. In a beap, each element is stored in a node with up to two parents...

there are 8 sublinear signs) and poetry (the three books, Psalms, Proverbs, and the poetic sections of Job in which there are 7 sublinear signs). She...

Institute for the Theory of Computing. 2024-01-09. Retrieved 2024-01-14. "Sublinear Algorithms". Simons Institute for the Theory of Computing. 2024-05-20...

structure which gives substring search in a text or text collection in sublinear time. Once constructed from a document or set of documents, a substring...

Leonardos, Helger Lipmaa, Kateryna Pavlyk, Qiang Tang, in 2015. All previous sublinear-communication computational PIR protocol required linear computational...

Zhen; Ma, Zhi; Wang, H.; Long, Gui-Lu (2022). "Factoring integers with sublinear resources on a superconducting quantum processor". arXiv:2212.12372 [quant-ph]...

log ⁡ n ) 2 ) {\displaystyle O(M(n)(\log n)^{2})} Leibniz formula for π 1300s Sublinear convergence. Five billion terms for 10 correct decimal places...

square-difference-free set of numbers up to n {\displaystyle n} is only slightly sublinear, but the largest known sets of this form are significantly smaller, of...

is correct. Leibniz's formula converges extremely slowly: it exhibits sublinear convergence. Calculating π to 10 correct decimal places using direct summation...

non-integer in its distance set. Square grids of points have distance sets of sublinear size, in contrast to points in general position whose distance set is...

longer in use in any Jewish community, having been supplanted by the sublinear Tiberian vocalization. However, the Babylonian pronunciation as reflected...

differently and therefore sized differently: a count–min sketch typically has a sublinear number of cells, related to the desired approximation quality of the sketch...

thesis On certain classes of function spaces and on the interpolation of sublinear operators. At DePaul University he became an instructor in 1955, an assistant...

proposed. Under strong knowledge assumptions, it is known how to create sublinear-length computationally-sound proof systems for NP-complete languages....

the standard IMP table below. The purpose of the IMP table, which has sublinear dependency on differences, is to reduce results occurring from large swings...

of the database entries. On the other hand, PIR requires communication sublinear in n, whereas 1-out-of-n oblivious transfer has no such requirement. However...

actually a majority. This second pass is needed, as it is not possible for a sublinear-space algorithm to determine whether there exists a majority element in...

with the publication of his 42-line Bible. His tools did not allow for a sublinear hyphen, and he thus moved it to the middle of the line. Examination of...

algorithm that uses sublinear samples 2 O ( d 2 ) k log ⁡ n log ⁡ log ⁡ n {\displaystyle 2^{O(d^{2})}k\log n\log \log n} and sublinear decoding time k log...

" Sci. Comput. Programming 9:1 (1987), pp. 17–35. Paul Pritchard, "A sublinear additive sieve for finding prime numbers", Communications of the ACM 24...

Knuth–Morris–Pratt Θ(m) Θ(n + o) Θ(m) Commentz-Walter Boyer-Moore Θ(m) Θ(M * n) worst case sublinear in average Θ(m) Set-BOM Backward Oracle Matching...

include sieving using the methods from the Sieve of Eratosthenes can run in sublinear time complexity of O ( N / log ⁡ log ⁡ N ) {\displaystyle O(N/\log \log...

testing, expander graphs, coding theory, and randomized algorithms with sublinear time complexity. She is a professor of computer science at Bar-Ilan University...

Hahn–Banach theorem:—If p : V → R {\displaystyle p:V\to \mathbb {R} } is a sublinear function, and φ : U → R {\displaystyle \varphi :U\to \mathbb {R} } is...

other Syriac ܂ SYRIAC SUBLINEAR FULL STOP U+0702 Po, other Syriac ܃ SYRIAC SUPRALINEAR COLON U+0703 Po, other Syriac ܄ SYRIAC SUBLINEAR COLON U+0704 Po, other...

occurrence. The query time, as well as the required storage space, has a sublinear complexity with respect to the size of the input data. The original authors...

algorithms. In the area of mathematical optimization, Hazan proposed the first sublinear-time algorithms for linear classification as well as semi-definite programming...

possible. In many cases, the running time of property testing algorithms is sublinear in the instance length. Typically, the goal is first to make the query...

the CLNT, which is more idiomatic in its English than the hyper-literal sublinear. The CLNT and the Concordant Greek Text are linked together and correlated...

Itai; Kalai, Gil; Schramm, Oded (2003), "First passage percolation has sublinear distance variance", Ann. Probab., 31 (4): 197–1978, arXiv:math/0203262...

{\displaystyle f:X\to \mathbb {R} } is a subadditive function (such as a norm, a sublinear function, or real linear functional), then f {\displaystyle f} is continuous...

fundamental contributions to algorithmic game theory, mechanism design, sublinear algorithms, and theoretical machine learning". Constantinos Daskalakis...

in the feasible set. The convergence of the Frank–Wolfe algorithm is sublinear in general: the error in the objective function to the optimum is O (...

realignment, rectilinear, rectilinearity, sesquilinear, sublineage, sublinear, supralinear, trilinear, unilinear line- smear, smudge Latin linere delete...

\varepsilon } . Hence, the cost of acquiring the confidence interval is sublinear in terms of confidence level and quadratic in terms of precision. Note...

{\displaystyle g_{n}<p_{n}\varepsilon } Hoheisel (1930) was the first to show a sublinear dependence; that there exists a constant θ < 1 {\displaystyle \theta <1}...

{\displaystyle F,G\colon P\to D} when P {\textstyle P} is equipped with a sublinear projection or superlinear family, in which still remains a pseudometric...

ICML'17. arXiv:1705.06730. Bakshi, Ainesh L.; Woodruff, David P. (2018). Sublinear Time Low-Rank Approximation of Distance Matrices. NeurIPS. arXiv:1809...

that is morphologically identical to P. sulcata. It is characterised by sublinear lobes with marginal and laminal, elongated pseudocyphellae, and soralia...

polynomial expansion. Conversely, graphs with polynomial expansion have sublinear separator theorems. Because of the connection between separators and expansion...

2022). Bannai, Hideo; Holub, Jan (eds.). Longest Palindromic Substring in Sublinear Time. Combinatorial Pattern Matching. Leibniz International Proceedings...

Liam Roditty and Asaf Shapira. 2008. All-Pairs Shortest Paths with a Sublinear Additive Error. ICALP '08, Part I, LNCS 5125, pp. 622–633, 2008. Floyd–Warshall...

including the wheel graphs and star graphs, have no edge separator with a sublinear number of edges, because any edge separator would have to include all...

of Boyer–Moore Boyer–Moore string-search algorithm: amortized linear (sublinear in most times) algorithm for substring search Knuth–Morris–Pratt algorithm:...

on the graph are given, the optimal competitive ratio is only slightly sublinear. However, for interval graphs, a constant competitive ratio is possible...

lengths, one can use tilted squares to leave an uncovered area that is sublinear in the side length of the larger square, unlike the obvious packing with...

nearly 50 terms for five decimals and nearly 120 for six. Both converge sublinearly. On the other hand: π = 4 1 + 1 2 3 + 2 2 5 + 3 2 7 + ⋱ = 4 − 1 + 1 6...

Srikant, R.; Liu, Xin; Jiang, Chong (2015), "Algorithms with Logarithmic or Sublinear Regret for Constrained Contextual Bandits", The 29th Annual Conference...

1991, Th. 3.2)—If p : X → R {\displaystyle p:X\to \mathbb {R} } is a sublinear function, and f : M → R {\displaystyle f:M\to \mathbb {R} } is a linear...

component and many small ones. At this edge probability, the large component is not yet a giant component: it contains only a sublinear number of vertices....

measures of infrastructure (such as the number of gas stations) scale sublinearly with population size. They argue for a quantitative, predictive framework...

{\displaystyle O(m+z)} time. Search for a regular expression P in time expected sublinear in n {\displaystyle n} . Find for each suffix of a pattern P {\displaystyle...

security. Rubinfeld has also made important contributions to the study of sublinear-time algorithms, which are algorithms that do not need to process the...

shown to approximate the Robinson-Foulds distance with a bounded error in sublinear time. In phylogenetics, the metric is often used to compute a distance...

problem in planar graphs) may be solved in time that is exponential in a sublinear function of the input size parameter n, significantly faster than a brute-force...

big data. RATMs, by contrast, enable a more nuanced approach, adopting sublinear time as a new standard for identifying tractable problems in big data...

logarithmic time complexity classes, these are extremely narrow classes as sublinear times do not even enable a Turing machine to read the entire input (because...

number of counterexamples grows only sublinearly. Even more strongly, for any fixed k {\displaystyle k} , only a sublinear number of values of n {\displaystyle...

complexity of a single integer n {\displaystyle n} can also be computed in sublinear time of O ( n 0.6514 ) {\displaystyle O(n^{0.6514})} . Algorithms for...

X:p(x-z)<1\}} for some z ∈ X {\displaystyle z\in X} and some positive continuous sublinear functional p {\displaystyle p} on X . {\displaystyle X.} If K {\displaystyle...

the Hebrew Bible, written in Sephardi square script with the Tiberian sublinear vocalisation, minuscule trope symbols, and the Masorah Magna and Parva...

tree," Sci. Comput. Programming 9:1 (1987), pp. 17–35. Paul Pritchard, A sublinear additive sieve for finding prime numbers, Communications of the ACM 24...

(leathery) texture. Its lobes are imbricate (overlapping like roof tiles), sublinear to irregular in shape, and measure 3–5 mm in width. The margins are eciliate...

electric field is increased, however, the carrier velocity increases sublinearly and asymptotically towards a maximum possible value, called the saturation...

Inner measure Subadditivity – Property of some mathematical functions Sublinear function – Type of function in linear algebra M. Marcus, H. Minc (1992)...

cycle number polynomially in d yields approximate EFX allocations with sublinearly many unallocated goods. The initial bound gave (1−ε)-EFX existence with...

method is applied to a sublinearly converging series and accelerates convergence considerably. The convergence is still sublinear, but much faster than...

Martian slope streaks. Like dark slope streaks, water tracks are narrow, sublinear features elongated in the downslope direction. They typically display...

areola (a structure which runs along the centre of the cephalothorax) is sublinear, or mostly uncurved. Like other decapods, C. gentryi has ten pairs of...

instructions called "input λ0,λ1" and "output β". It is difficult to study sublinear space complexity on multi-tape machines with the traditional model, because...

always interchangeable. This property is used in the definition of a sublinear function. Minkowski functionals are exactly those non-negative extended...

hereditary graph family has a separator theorem where the separator size is a sublinear power of n if and only if it has polynomial expansion. Nešetřil & Ossona...

realignment, rectilinear, rectilinearity, sesquilinear, sublineage, sublinear, supralinear, trilinear, unilinear line- smear, smudge Latin linere delete...

deterministic Turing machine. Several important space complexity classes are sublinear, that is, smaller than the size of the input. Thus, "charging" the algorithm...

the phase kernels for which the kernel phase derivative is a linear or sublinear function with respect to frequency variables. A simple example for such...

efficient algorithms have appeared recently. There are schemes with the sublinear size of the signature, as well as with constant size. The original paper...

\forall X_{2}-X_{1}\in L_{d}^{p}(K)\Rightarrow R(X_{2})\supseteq R(X_{1})} Sublinear Wang transform of the cumulative distribution function A Wang transform...

algorithm (that is, how much worse it performs than the best expert) is sublinear, at O ( m ln ⁡ ( n ) ) {\displaystyle O({\sqrt {m\ln(n)}})} . Recall that...

Computation Theory. Her research interests include streaming algorithms, sublinear algorithms, and applications of computational biology to cancer. Ergun...

its tail hanging vertically rather than in parallel structure with the "sublinear" tails of other letters, or having a "curvilinear" form. In general, Chinese...

there exist graphs of book thickness three that do not have separators of sublinear size. The edges within a single page of a book embedding behave in some...

Association for Computing Machinery for contributions to delegated computation, sublinear time algorithms and property testing Rob A. Rutenbar, ACM Fellow, IEEE...

dots runs to the tornus. There is also a terminal series of dark fuscous sublinear dots. The hindwings are pale whitish ochreous. Wikimedia Commons has media...

genus Juncus. Niebla juncosa is distinguished by the thallus divided into sublinear subterete branches with a common attachment base (or holdfast); the primary...

{\displaystyle p} vertices. It can also be maintained dynamically in sublinear time per update. The relative convex hull of a finite set of points is...

\langle k\rangle =2L/N} in G N {\displaystyle G_{N}} scales linearly or sublinearly with N: G N {\displaystyle G_{N}} is dense if ⟨ k ⟩ = O ( N ) {\displaystyle...

clique-width exactly, and also NP-hard to obtain an approximation with sublinear additive error. However, when the clique-width is bounded, it is possible...

Michael A.; Ron, Dana (2000), "Testing acyclicity of directed graphs in sublinear time", Automata, languages and programming (Geneva, 2000), Lecture Notes...

Hiro; Nagao, Atsuki (eds.), "Stream-Based Lossless Data Compression", Sublinear Computation Paradigm: Algorithmic Revolution in the Big Data Era, Singapore:...

theorem of G. H. Hardy and J. E. Littlewood states that M is bounded as a sublinear operator from Lp(Rd) to itself for p > 1. That is, if f ∈ Lp(Rd) then...

Abbreviation Arabic (pdf) See RLM U+0709 &#1801; SYRIAC SUBLINEAR COLON SKEWED RIGHT SYRIAC SUBLINEAR COLON SKEWED LEFT ※ Correction Syriac (pdf) U+0CDE &#3294;...

axiality of a given convex shape can be approximated arbitrarily closely in sublinear time, given access to the shape by oracles for finding an extreme point...

t^{\mu }} where μ = 0.6 {\displaystyle \mu =0.6} , which indicates a sublinear growth in different number of places visited by an individual . These...

other defenses are more active. Moreover, evidence for thresholds or sublinear responses at low doses (including adaptive and protective effects) means...

range spaces Randomized sketching techniques Dimensionality reduction Sublinear and streaming algorithms Agarwal, Pankaj K.; Har-Peled, Sariel; Varadarajan...

ISBN 978-3-662-48971-0. Blum, Johannes; Funke, Stefan; Storandt, Sabine (2018). Sublinear Search Spaces for Shortest Path Planning in Grid and Road Networks (PDF)...

of the origin (see the articles on continuous linear functionals and sublinear functionals for details). Also required is a proper understanding of the...

≤ t u } {\displaystyle p(x):=\inf\{t\in \mathbb {R} :x\leq tu\}} is a sublinear functional. If X {\displaystyle X} is a preordered vector space then for...

≤ t u } {\displaystyle p(x):=\inf\{t\in \mathbb {R} :x\leq tu\}} is a sublinear functional. Suppose ( X , ≤ ) {\displaystyle (X,\leq )} is an ordered...

E g [ − X ] {\displaystyle \rho _{g}(X):=\mathbb {E} ^{g}[-X]} for a sublinear choice of function g {\displaystyle g} where E g {\displaystyle \mathbb...

theoretical computer scientist known for her work on property testing and sublinear-time algorithms. She is a professor of computer science at the Academic...

{n}})} , so if true this bound would be the best possible. All graphs have sublinear cop number. One way to prove this is to use subgraphs that are guardable...

conjectured that the number of points that can be placed is at most a sublinear amount larger than c n {\displaystyle cn} , with c = 2 π 2 3 3 ≈ 1.874...

reaching the costa, marked anteriorly with a series of ill-defined black sublinear marks, and on the terminal edge with a series of small brownish spots...

fellow at Harvard University in 2003/4. Her research interests include sublinear-time algorithms (in particular property testing), randomized algorithms...

Y:p(y-z)<1\}} for some z ∈ Y {\displaystyle z\in Y} and some positive continuous sublinear functional p {\displaystyle p} on Y . {\displaystyle Y.} The interior...

short descriptions of redirect targets Seminorm – Mathematical function Sublinear function – Type of function in linear algebra Uniform space – Topological...

November 2016. Grigoriadis, Michael D.; Khachiyan, Leonid G. (1995). "A sublinear-time randomized approximation algorithm for matrix games". Operations...

Goralčík & Koubek (1986), who showed that the automaton size is always sublinear. Later, Robson (1989) proved the upper bound O(n2/5(log n)3/5) on the...

tree," Sci. Comput. Programming 9:1 (1987), pp. 17–35. Paul Pritchard, A sublinear additive sieve for finding prime numbers, Communications of the ACM 24...

to 8 cm wide. Its lobes are overlapping like roof tiles (imbricate), sublinear to subirregular (somewhat linear to somewhat irregular) in shape, irregularly...

Improvements included broader substrates (since capital costs scale sublinearly and installation costs can be reduced), thinner layers (to save material...

We've Woven..." (PDF), SIAM News, 33 (2). Cipra, Barry (April 2004), "Sublinear Computing: When Ignorance Is Bliss" (PDF), SIAM News, 37 (3). "Anna C...

Remototrachyna include lobes (measuring 2–10 mm wide) that are narrow, sublinear to linear‐elongate, truncate, and subdichotomously to dichotomously branched...

and its tree-depth is 2. Some graph families of bounded degree have sublinear bandwidth: if T is a tree of maximum degree at most ∆, then φ ( T ) ≤...

famous example is the Hardy–Littlewood maximal function, which is only sublinear operator rather than linear. While L p {\displaystyle L^{p}} to L p {\displaystyle...

American theoretical computer scientist. She is known for her research in sublinear-time algorithms, information privacy, property testing, and approximation...

foliose lichen forms loose rosettes 5–10 cm across on bark. Lobes are sublinear, mostly separate, 1.5–3 mm wide, and end in blunt, slightly up-turned...

the M. Riesz extension theorem. Let V be a linear space, and let N be a sublinear function on V. Let φ be a functional on a subspace U ⊂ V that is dominated...

thallus are flat, ranging from 0.6 to 1.2 mm wide, with subirregular to sublinear shapes that may branch more or less dichotomously. The upper surface of...

width. Its lobes are narrow, ranging from 0.3 to 0.8 mm wide, and have sublinear to elongate forms with subdichotomous to dichotomous branching. The tips...

that there are few remaining low-area triangles and therefore only a sublinear number of cycles formed by two, three, or four low-area triangles. Remove...

attachment. Its lobes, which can be plane to convex, have a characteristic sublinear-elongate shape with irregular branching. These lobes often radiate, with...

expected value of the max-envy of the allocation of T items should be sublinear in T (assuming the value of every item is between 0 and 1). They show...

pseudocyphellate, and sorediate, without isidia. The lobes are narrow and sublinear with sparse pseudocyphellae. Marginal pseudocyphellae appear as continuous...

irroration runs to the dorsum and there is a curved series of black dots or sublinear marks edged anteriorly with white scales running from the costa before...

constants. For a nonlinear expectation to be further classified as a sublinear expectation, the following two conditions must also be met: Subadditivity:...

(meaning that the probability of multiple arrivals in short intervals is sublinear in the interval length), Palm distributions, Fourier analysis, and...

Strash, D. (2009), "Linear-time algorithms for geometric graphs with sublinearly many crossings", Proc. 20th ACM-SIAM Symp. Discrete Algorithms (SODA...

important operators, such as the Hardy-Littlewood maximal operator, are only sublinear. This is not a hindrance to applying real interpolation methods, but complex...

 paratasmanica is characterised by the loosely adnate thallus, the sublinear to sublinear-elongate lobes, the scattered or effigurate maculae on the upper...

Kiayias claim to have designed the first PoSE with quasilinear time and sublinear communication complexity. Proof of space is a protocol similar to proof...

for approximating the weight of the Euclidean minimum spanning tree in sublinear time, and finding a tight integrality gap for the vertex cover problem...

1016/S0747-7171(08)80013-2, MR 1056627 Lipmaa, Helger (2012), "Progression-free sets and sublinear pairing-based non-interactive zero-knowledge arguments", in Cramer, Ronald...

M[\gamma \,A]=\gamma \cdot M[A],\qquad \gamma \in \mathbb {R} ^{+}} Sublinearity M [ A + B ] ≤ M [ A ] + M [ B ] {\displaystyle \,M[A+B]\,\leq \,M[A]+M[B]}...

Oscillation Theory for Second Order Linear, Half–linear, Superlinear and Sublinear Dynamic Equations, Kluwer Academic Publishers, The Netherlands, 2002,...

by convex setsPages displaying short descriptions of redirect targets Sublinear function – Type of function in linear algebra Solovay, Robert M. (1970)...

whorls, 4 on penultimate whorl, broad and flatly rounded (interstices sublinear) and cutting up axials into blunt laterally-elongate tubercles. A fifth...

Retrieved 8 August 2023. "DIMACS Workshop on Big Data through the Lens of Sublinear Algorithms". DIMACS: Center for Discrete Mathematics and Theoretical Computer...

extends to a width of 1–2 cm (0.4–0.8 in). It is characterized by its sublinear lobes that branch dichotomously and are distinctly separated from each...

linear-elongate, 0.2–1.0 mm wide, and dichotomously branched with marginal, sublinear lobules. Bulbate cilia are conspicuous, forming a dense marginal fringe...

pale mineral grey to mineral grey. The lobes are irregularly branched, sublinear-elongate, and often overlap. Their margins are slightly wavy (undulate)...

{\displaystyle p:X\to \mathbb {R} } is a seminorm if and only if it is a balanced sublinear function. Absolutely convex set – Convex and balanced set Absorbing set –...

typically 8–12 cm across. The lobes are narrow and mostly parallel-sided (sublinear), 2–4 mm wide, lying close together; their margins are rolled upward....

(imbricate) lobes, which are typically 2.5–6 mm wide, apically rounded to sublinear, and show a pale greenish grey to whitish grey colour. The surface is...

Kurt; Meyer, Ulrich (2002). "External-Memory Breadth-First Search with Sublinear I/O". Algorithms -- ESA 2002. ESA 2002. Rome, Italy: Springer Berlin Heidelberg...

perforated discs (mainly marginal), pycnidia immersed in the thallus, and sublinear, canaliculate lobes (with longitudinal grooves) similar to those of some...

interspace 2 the largest, oval or round, the others smaller, transversely sublinear; a clearly defined anteciliary black line; cilia brown with a white line...

spatiotemporal resolution of the observed trajectories, the MSD behaves sublinearly with time, a process known as anomalous diffusion, which is due in part...

Each rosette contains 7 to 15 erect, ascending leaves. The leaves are sublinear to linear-oblanceolate, with the tips acute to acuminate, 1 to 8 cm long...

Continuous Dynamical Systems, 30(3), 891. Bandle, C., & Pozio, M. A. (2015). Sublinear elliptic problems with a Hardy potential. Nonlinear Analysis: Theory,...

higher-dimensional versions of the problem the time per update is slower, but still sublinear. For n {\displaystyle n} points moving linearly with constant speed, or...

cylindrical stem, large embracing leaves, calyx bent back on the peduncle, and sublinear corolla. The stem is shrubby, erect, reddening, cylindrical, and branching;...

MR 0387090 Chestnut, Stephen R.; Hildebrand, Robert; Zenklusen, Rico (2018), "Sublinear bounds for a quantitative Doignon–Bell–Scarf theorem", SIAM Journal on...

and SIAM, pp. 609–617. Dvořák, Zdeněk; Norin, Sergey (2016), "Strongly sublinear separators and polynomial expansion", SIAM Journal on Discrete Mathematics...

distinguished by a hemispherical mat-like thallus, divided into numerous tangled sublinear-prismatic branches to 8 cm high and 16 cm across, and by containing the...

to 11 cm wide. Its lobes are imbricate (overlapping like roof tiles), sublinear to subrotund (somewhat linear to somewhat rounded), 2–10 mm wide, and...

3/5, second segment again cleft from about 1/2 of its length, segments sublinear without any appreciable angles: bright golden-ochreous, suffused with...

spans 6–15 cm across. The lobes are narrow and mostly parallel-sided (sublinear), crowded edge-to-edge, 1.5–4 mm wide, and may show small side lobes....

feature requiring multiple neutral mutations, the time to fixation has a sublinear dependence on population size. Behe has stated that the results of the...

mostly flattened branches, in contrast to the diagnostic features of “sublinear branches” given for the species in 1996. Another closely related species...

{\displaystyle X\in {\mathcal {L}}^{2}} and λ > 0 {\displaystyle \lambda >0} Sublinearity: D ( X + Y ) ≤ D ( X ) + D ( Y ) {\displaystyle D(X+Y)\leq D(X)+D(Y)}...

two to six rows of densely packed microscopic grains. The aperture is sublinear. The thick and outstanding varix extends a broad lip over the aperture...

about 18; interstices equal to or wider than ribs instead of narrower or sublinear. Spirals somewhat finer, less raised than in marshalli. Spire taller,...

Linearization Nonlinearity (disambiguation) All pages with titles containing sublinear All pages with titles containing sub-linear Semilinear (disambiguation)...

mat-like, flaccid thallus, very much divided into numerous tangled narrow sublinear-prismatic branches to 16 cm across, the individual branches only 0.5–1...