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1 f 2 but frequently round to 2 as the nearest integer.
2 re constants for multiplication are positive integers.
3 ere n and m are unknown nonzero non-negative integers.
4 packings with all radii being reciprocals of integers.
5 quantum SAT solving methods to factor large integers.
6 9.1 and 12.35 days) are near-ratios of small integers.
7 erent scales such as continuous, binary, and integer?
14 er; this electron transfer is in general non-integer and unknown a priori, but is required to hold th
16 (rounding the measured charge to the nearest integer) and culling ions with measured charges midway b
17 mallWig compression algorithm on a number of integer-and real- (floating point) valued RNA-seq WIG fi
18 We consider the number of ways to write an integer as a sum of squares, a problem with a long histo
21 ested the ability of the recently validated, integer-based Mayo Clinic Risk Score (MCRS) for percutan
22 , some RNA-Sequencing analysis tools require integer-based read counts, which are not provided with t
31 l have an integer RKMD with the value of the integer being the degrees of unsaturation in the lipid.
32 ical classes of input trees characterized by integer branching ratios and fractal golden ratios of Fi
33 ontrast, for water-mediated PCET, we observe integer Bronsted slopes of 1 and 0 for proton acceptor a
34 ber measurement, with particular emphasis on integer clustering of results, to avoid reporting of spu
36 ethods designed through extensive studies of integer compression techniques and through fitting of em
40 -, ploidy- and clonal heterogeneity-adjusted integer copy number calls are greatly needed to more rel
41 total- and allele-specific read counts, and integer copy number calls corrected for tumor purity, pl
42 any methods have been proposed for inferring integer copy number, few have been designed for inferrin
44 tabolic engineering when both continuous and integer decision variables are involved in the model.
45 ts avoid zero elements and instead allow non integer diagonal elements, which leads to retention of t
46 nt, a series of ambipolar two-component half-integer Dirac quantum Hall states and an electron-hole t
47 with winding numbers of +1/2 and -1/2 (half-integer due to the nematic feature that arises from the
49 devices into a regime hosting fractional and integer edge states of opposite chiralities, paving the
51 es of the Picard modular group with Gaussian integer entries acting on the two-dimensional complex hy
52 ers ideally solve problems such as factoring integers exponentially more efficiently than classical m
54 te they have not led to a convincing path to integer factorization that is competitive with the best
55 sing spintronics technology, and demonstrate integer factorization, an illustrative example of the op
57 phene is anomalous in that it occurs at half-integer filling factors; and third, the cyclotron mass m
62 ima occurring alternately at half-integer or integer flux quanta (Phi0 = h/e, where h is Planck's con
63 perconductivity could be destroyed near half-integer-flux quanta in ultrasmall loops, resulting in a
64 ped samples, we observed transitions between integer fluxoid states as well as a regime characterized
66 cutoff concentrations rounded to the nearest integer for a high-sensitivity troponin I assay were use
67 detection, the laser repetition rate matches integer fractions of the difference between the two mech
69 t the deviations of the intervals from small-integer frequency ratios based on the harmonic series ar
71 (at 2-kb breakpoint resolution) informed by integer genotypes for 1,320 copy number polymorphisms (C
75 h is fractional in the bipolar regime and an integer in the unipolar regime, in terms of quantum Hall
76 time of presentation after OGI (OR, 2.41 per integer increase in logMAR visual acuity; OR, 1.00-81.30
77 0.001), higher zone of injury (OR, 2.51 per integer increase in zone number; OR, 1.00-6.30; P < 0.00
78 sure (E/E'; adjusted hazard ratio 1.05 per 1 integer increase; 95% confidence interval, 1.02-1.07), a
81 processes, quality indicators do not have an integer kinetic order and reaction rates are strongly te
82 magnetic anisotropy, (ii) EPR spectra of non-integer (Kramers) vs. integer (non-Kramers) spin states
85 f robust even-denominator FQH phases at half-integer Landau-level filling in van der Waals heterostru
86 on charge ne traversing the junction, with n integer larger than 2Delta/eVSD and Delta the supercondu
87 mated de novo identification of peptides via integer linear optimization (also referred to as integer
88 press our formulation both in the form of an integer linear program (ILP) and-as a first in tumor phy
90 In addition, we formalize our problem as an integer linear program problem and solve it using the Pu
94 ing combinatorial optimization problem as an integer linear program, and demonstrate that it can be s
95 general computational methods for solving an integer linear program, or a constraint satisfaction pro
100 In this study, we propose polynomial-size integer linear programming (ILP) formulations for the af
101 etwork flow with the set cover problem in an integer linear programming (ILP) framework to simultaneo
102 We formulated the BeWith framework using Integer Linear Programming (ILP), enabling us to find op
103 of the topologies are estimated using mixed integer linear programming (MILP) and in phase III the o
104 line are based on the iterative use of mixed integer linear programming (MILP), the effectiveness of
109 only 1-10% of the time required by the mixed-integer linear programming approach available in the lit
110 tein array; ii) computationally developed an Integer Linear Programming approach to infer OC-mediated
113 aps for 20 bird species, land values, and an integer linear programming model to prioritize land unit
115 ger linear optimization (also referred to as integer linear programming or ILP) and tandem mass spect
117 We proposed efficient algorithms based on Integer Linear Programming to select a minimum number of
118 y large datasets, including (i) an efficient integer linear programming, (ii) a probabilistic logic i
123 moval model to the polyploid case and on new integer linear programs to reconstruct optimal haplotype
127 xperiments where we observe close to quarter-integer magnetic peaks below [Formula: see text] that ar
128 exing algorithm to identify UCRs and a k-mer integer-mapping model for computational efficiency, this
129 mber of species of the same nominal (nearest-integer) mass, allowing for isolation of ions of one or
130 imated 12,144 times faster than the original integer matrix based CPU implementation, for the 3-hit a
135 2016, the Risk-Calibrated Supersparse Linear Integer Model, a novel machine-learning algorithm design
136 ed by a multiscale process, starting from an integer multiple of 60 viral capsid or coat protein (VP)
137 ber of binding sites in one polymer being an integer multiple of the number of binding sites of the o
140 ation was ruled out by several observations: integer-multiple-patterned spiking was not induced by in
143 elay when the gain is +1, and troughs at odd-integer multiples and peaks at even-integer multiples of
145 consist of frequencies (harmonics) that are integer multiples of a common fundamental frequency (F0)
147 ital periods of the two new moons are nearly integer multiples of Charon's period, suggesting that th
149 nstance) results in the direct absorption of integer multiples of photon quanta (nhomega) by the rela
150 aseline plus noise, when the signal takes on integer multiples of some value, as in ion channel patch
151 of weak tunneling probability should lead to integer multiples of the electron charge ne traversing t
152 h a system exhibits temporal correlations at integer multiples of the fundamental driving period, bre
153 ation of the Hilbert envelope shows peaks at integer multiples of the time-varying delay for both pos
154 ion functions of these stimuli show peaks at integer multiples of the time-varying delay when the gai
155 s at odd-integer multiples and peaks at even-integer multiples of the time-varying delay when the gai
159 that the number of partitions of a positive integer n is the "trace" of singular moduli of a Maass f
160 ii) EPR spectra of non-integer (Kramers) vs. integer (non-Kramers) spin states and (iii) mono- vs. mu
161 uency spacing of the comb can be tuned by an integer number FSR of the MRR freely in our dual-pump sc
165 l degeneracy at fillings corresponding to an integer number of electrons per moire unit cell(2-4).
167 US participants tended to reproduce notes an integer number of octaves above or below the heard tones
168 We found Raman evidence for flakes with: (i) integer number of quintuples which exhibited a strong el
169 trong electron-phonon coupling, and (ii) non-integer number of quintuples, or sub-quintuples which ex
170 beams and introduce a distribution over the integer numbers corresponding to the discrete orbital an
172 eats (TRs) can exhibit dynamic expansions by integer numbers of trinucleotides that lead to neurodege
173 als the presence of insulating states at all integer occupancies of the fourfold spin-valley degenera
176 tions containing no sequences of consecutive integers of length k are of interest in seemingly unrela
179 ns with maxima occurring alternately at half-integer or integer flux quanta (Phi0 = h/e, where h is P
180 l charges from -1 to +2.5 including both the integer-order and fractional-order optical vortices alon
182 n can be completely reversed by changing the integer parity of the PGM design, and such phenomenon is
184 P. A. MacMahon was the first to examine integer partitions in which consecutive integers were no
188 t Recipients data from 2016-2019, we used an integer program to design unique, heterogeneous circles
189 was designed to iteratively solve a pair of integer programming (IP) and linear programming (LP) to
191 inference techniques, and present them using integer programming and Bayesian inference frameworks.
197 solve the problem using Quadratic and Linear integer programming formulations and demonstrate their p
203 ling, and an optimization algorithm based on integer programming was used to select degenerate codons
204 algorithms based on simulated annealing and integer programming, that provide good solutions to this
209 form simple ratios that correspond to small-integer proportions derived from the harmonic series.
210 adjacent frequencies) corresponding to small-integer proportions drawn from the harmonic series.
212 m Hall effect (QHE) states together with the integer QHE states associated with the fractal Hofstadte
213 Our model building program qFit uses mixed integer quadratic programming (MIQP) to evaluate an extr
215 exact optimal solution to this new bi-level integer quadratic programming problem for MOMAKnock.
219 ingly, the multiple vortex bound states with integer-quantization sequences can be accurately reprodu
220 s the external magnetic field is swept, half-integer quantized conductance plateaus are observed at t
221 which is uniquely characterized by the half-integer quantized topological Chern number protected by
222 When the electron spin is conserved, the integer-quantized ac spin Hall conductivity can be linke
223 th the Aharonov-Bohm effect are observed for integer quantum Hall and FQH states (filling factors nu
224 ric field effect, we observe an unusual half-integer quantum Hall effect for both electron and hole c
226 Since the experimental realization of the integer quantum Hall effect in a two-dimensional electro
227 The experimental discovery of an anomalous integer quantum Hall effect in graphene has enabled the
228 of charge carriers tend to zero; second, the integer quantum Hall effect in graphene is anomalous in
229 vistic character of the charge carriers, the integer quantum Hall effect observed in graphene is qual
232 ) later theorized that Chern insulators with integer quantum Hall effects could appear in lattice mod
234 e responsible for an instability of graphene integer quantum Hall polariton fluids towards a modulate
238 icipants showed peaks at rhythms with simple integer ratios and were similar for musicians and non-mu
240 irds with the smallest deviations from small-integer ratios possess the largest melanin-based black v
241 not preclude biological constraints favoring integer ratios, but they suggest that priors on musical
242 es from the mathematical simplicity of small integer ratios; (ii) that consonance derives from the ph
243 eractions of the inorganic domain, where sub-integer resonance bond orders are the essential origin o
244 periods may be expressed as ratios of small integers (resonances), often in a many-planet series (ch
247 or a positive genotype was used to construct integer risk weights for each independent predictor vari
248 g to the class being referenced will have an integer RKMD with the value of the integer being the deg
250 values were assigned to create the weighted integer score for each parameter, yielding the final PIR
251 and bootstrap methods were used to create an integer score for estimating the risk of in-hospital mor
253 ased on logistic regression coefficients, an integer score was created and validated internally and e
254 oportional hazard models were converted into integer scores for predicting seroclearance and predicti
259 N is due to the Kramer's doublet with a half-integer spin quantum number of S = 15/2, this relatively
266 ain a common intermediate with FeMo-co in an integer-spin state having a ground-state "non-Kramers" d
267 ment of Berry's phase and the even parity of integer spins (and odd parity of half-integer spins) und
269 clature consisting of the CDR, length and an integer starting from the largest to the smallest cluste
271 by its chiral index (n,m), where n and m are integers that can have values from zero up to 30 or more
272 oints) was created by assignment of weighted integers that corresponded to the coefficient of each va
274 l in nature: they emerge when a pair of half-integer topological charges(1-3) in the polarization fie
275 n approximate chiral symmetry which gives an integer topological invariant to the system is discussed
277 d with the fractal gaps are described by two integer topological quantum numbers, and report evidence
279 We present the novel framework MITIE (Mixed Integer Transcript IdEntification) for simultaneous tran
280 s as well as a regime characterized by "half-integer transitions"--steps in the magnetization with ha
286 end protein-based approaches by counting the integer-valued number of transcript with single-molecule
287 ates kinetic interpretations in terms of the integer-valued random processes that produce the fluctua
292 Response to ECP was assigned when a positive integer was derived after subtracting the baseline rate
293 glucose from postinfusion baseline (positive integer) was greater during HYPER (401.5 +/- 190.5 mmol/
294 large number of such representations of each integer, we see that the weighting induces massive cance
296 gned to create screening scales with optimal integer weights and limited numbers of screening questio