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1 selection rule l = -3n + 7m (where l is any integer).
2 f 2 but frequently round to 2 as the nearest integer.
3 is a positive integer and l is a nonnegative integer.
4 conductor N, which is a square-free positive integer.
5 in that is neither an integer nor a half-odd integer.
6 re constants for multiplication are positive integers.
7 ere n and m are unknown nonzero non-negative integers.
8 9.1 and 12.35 days) are near-ratios of small integers.
9 y to encode a Schroder tree by a sequence of integers.
10 erent scales such as continuous, binary, and integer?
12 m - n = 3k + l, where l = 1 or 2 and k is an integer, a seam of double bonds wraps about an otherwise
15 EPR technique allows the observation of both integer and half-integer electron spin systems, Mn oxida
18 a valuable technique for studying both half-integer and integer electron spin systems and is particu
21 (rounding the measured charge to the nearest integer) and culling ions with measured charges midway b
22 n + 7m (where l is even, and n and m are any integers), and having a 199-A period and pitch, 28-A ris
23 ogistic regression model to the closest half-integer, and a visual bedside tool for the prediction of
24 , inv(sigma, mu)) on words sigma of positive integers, and the coefficients of the z(i) are manifestl
25 mallWig compression algorithm on a number of integer-and real- (floating point) valued RNA-seq WIG fi
30 ested the ability of the recently validated, integer-based Mayo Clinic Risk Score (MCRS) for percutan
31 , some RNA-Sequencing analysis tools require integer-based read counts, which are not provided with t
38 l have an integer RKMD with the value of the integer being the degrees of unsaturation in the lipid.
39 ontrast, for water-mediated PCET, we observe integer Bronsted slopes of 1 and 0 for proton acceptor a
40 atellite mutations appeared to involve small-integer changes in repeat copy number, and they arose in
41 ber measurement, with particular emphasis on integer clustering of results, to avoid reporting of spu
44 of solving problems such as factoring large integers, combinatorial optimization and quantum physics
45 ethods designed through extensive studies of integer compression techniques and through fitting of em
46 -, ploidy- and clonal heterogeneity-adjusted integer copy number calls are greatly needed to more rel
47 total- and allele-specific read counts, and integer copy number calls corrected for tumor purity, pl
48 any methods have been proposed for inferring integer copy number, few have been designed for inferrin
52 quare root of n)space, where L is a positive integer determined by m, n, and the amount of available
53 ts avoid zero elements and instead allow non integer diagonal elements, which leads to retention of t
54 nt, a series of ambipolar two-component half-integer Dirac quantum Hall states and an electron-hole t
55 with winding numbers of +1/2 and -1/2 (half-integer due to the nematic feature that arises from the
57 devices into a regime hosting fractional and integer edge states of opposite chiralities, paving the
59 technique for studying both half-integer and integer electron spin systems and is particularly useful
60 ows the observation of both integer and half-integer electron spin systems, Mn oxidation states of II
61 es of the Picard modular group with Gaussian integer entries acting on the two-dimensional complex hy
62 ers ideally solve problems such as factoring integers exponentially more efficiently than classical m
64 phene is anomalous in that it occurs at half-integer filling factors; and third, the cyclotron mass m
66 ima occurring alternately at half-integer or integer flux quanta (Phi0 = h/e, where h is Planck's con
68 perconductivity could be destroyed near half-integer-flux quanta in ultrasmall loops, resulting in a
69 ped samples, we observed transitions between integer fluxoid states as well as a regime characterized
71 cutoff concentrations rounded to the nearest integer for a high-sensitivity troponin I assay were use
73 t the deviations of the intervals from small-integer frequency ratios based on the harmonic series ar
75 (at 2-kb breakpoint resolution) informed by integer genotypes for 1,320 copy number polymorphisms (C
78 to number theoretic compositions of positive integers; i.e., we have converted a genetic decompositio
79 ron number N, (ii) that m is usually an even integer, (iii) that certain clusters are especially stab
81 h is fractional in the bipolar regime and an integer in the unipolar regime, in terms of quantum Hall
82 Quantum computers, however, could factor integers in only polynomial time, using Shor's quantum f
83 [OR], 3.97), functional disability (OR, 1.67/integer increase in Instruments of Activities of Daily L
84 time of presentation after OGI (OR, 2.41 per integer increase in logMAR visual acuity; OR, 1.00-81.30
85 0.001), higher zone of injury (OR, 2.51 per integer increase in zone number; OR, 1.00-6.30; P < 0.00
86 sure (E/E'; adjusted hazard ratio 1.05 per 1 integer increase; 95% confidence interval, 1.02-1.07), a
93 processes, quality indicators do not have an integer kinetic order and reaction rates are strongly te
94 magnetic anisotropy, (ii) EPR spectra of non-integer (Kramers) vs. integer (non-Kramers) spin states
98 f robust even-denominator FQH phases at half-integer Landau-level filling in van der Waals heterostru
99 on charge ne traversing the junction, with n integer larger than 2Delta/eVSD and Delta the supercondu
101 mated de novo identification of peptides via integer linear optimization (also referred to as integer
107 ing combinatorial optimization problem as an integer linear program, and demonstrate that it can be s
112 etwork flow with the set cover problem in an integer linear programming (ILP) framework to simultaneo
113 We formulated the BeWith framework using Integer Linear Programming (ILP), enabling us to find op
114 of the topologies are estimated using mixed integer linear programming (MILP) and in phase III the o
115 line are based on the iterative use of mixed integer linear programming (MILP), the effectiveness of
119 only 1-10% of the time required by the mixed-integer linear programming approach available in the lit
120 tein array; ii) computationally developed an Integer Linear Programming approach to infer OC-mediated
123 ger linear optimization (also referred to as integer linear programming or ILP) and tandem mass spect
125 We proposed efficient algorithms based on Integer Linear Programming to select a minimum number of
133 exing algorithm to identify UCRs and a k-mer integer-mapping model for computational efficiency, this
134 mber of species of the same nominal (nearest-integer) mass, allowing for isolation of ions of one or
138 2016, the Risk-Calibrated Supersparse Linear Integer Model, a novel machine-learning algorithm design
141 in-microtubule system, where step size is an integer multiple of the tubulin repeat along the microtu
142 elay when the gain is +1, and troughs at odd-integer multiples and peaks at even-integer multiples of
144 nder force in quantized steps of up to three integer multiples of 1.76 A and that they shorten sponta
147 nduced plasma VWF-GP Ib-IX bonds occurred in integer multiples of 6.5 pN and 8.8 pN, respectively, de
148 consist of frequencies (harmonics) that are integer multiples of a common fundamental frequency (F0)
149 ce histograms revealed well-defined peaks at integer multiples of a fundamental conductance value, wh
150 bsence of modulators, with bond strengths in integer multiples of approximately 11.4 pN for both.
151 ital periods of the two new moons are nearly integer multiples of Charon's period, suggesting that th
153 Current-voltage curves are quantized as integer multiples of one fundamental curve, an observati
154 nstance) results in the direct absorption of integer multiples of photon quanta (nhomega) by the rela
155 aseline plus noise, when the signal takes on integer multiples of some value, as in ion channel patch
157 ions, periods jumped nondeterministically to integer multiples of the control period (quantal slowing
158 of weak tunneling probability should lead to integer multiples of the electron charge ne traversing t
159 h a system exhibits temporal correlations at integer multiples of the fundamental driving period, bre
160 times > or = 1.00 ms and amplitudes that are integer multiples of the minimal unitary potentials.
161 ation of the Hilbert envelope shows peaks at integer multiples of the time-varying delay for both pos
162 ion functions of these stimuli show peaks at integer multiples of the time-varying delay when the gai
163 s at odd-integer multiples and peaks at even-integer multiples of the time-varying delay when the gai
166 rder to find the prime factors of an l-digit integer N increases exponentially with l, at least using
167 that the number of partitions of a positive integer n is the "trace" of singular moduli of a Maass f
168 like ([ndelta]), where delta > 1 and not an integer, ([n log n]), and ([n2/log n]) are good averagin
169 optimization problem (of the so-called mixed-integer non-linear programming class) and we developed a
170 ii) EPR spectra of non-integer (Kramers) vs. integer (non-Kramers) spin states and (iii) mono- vs. mu
172 uency spacing of the comb can be tuned by an integer number FSR of the MRR freely in our dual-pump sc
177 We found Raman evidence for flakes with: (i) integer number of quintuples which exhibited a strong el
178 trong electron-phonon coupling, and (ii) non-integer number of quintuples, or sub-quintuples which ex
179 beams and introduce a distribution over the integer numbers corresponding to the discrete orbital an
180 get sites are separated by distances of half-integer numbers of helical turns of regular duplex DNA,
182 tions containing no sequences of consecutive integers of length k are of interest in seemingly unrela
185 ns with maxima occurring alternately at half-integer or integer flux quanta (Phi0 = h/e, where h is P
187 P. A. MacMahon was the first to examine integer partitions in which consecutive integers were no
191 was designed to iteratively solve a pair of integer programming (IP) and linear programming (LP) to
193 inference techniques, and present them using integer programming and Bayesian inference frameworks.
199 solve the problem using Quadratic and Linear integer programming formulations and demonstrate their p
206 ling, and an optimization algorithm based on integer programming was used to select degenerate codons
207 algorithms based on simulated annealing and integer programming, that provide good solutions to this
212 form simple ratios that correspond to small-integer proportions derived from the harmonic series.
213 adjacent frequencies) corresponding to small-integer proportions drawn from the harmonic series.
214 m Hall effect (QHE) states together with the integer QHE states associated with the fractal Hofstadte
215 Our model building program qFit uses mixed integer quadratic programming (MIQP) to evaluate an extr
217 exact optimal solution to this new bi-level integer quadratic programming problem for MOMAKnock.
223 s the external magnetic field is swept, half-integer quantized conductance plateaus are observed at t
224 which is uniquely characterized by the half-integer quantized topological Chern number protected by
225 When the electron spin is conserved, the integer-quantized ac spin Hall conductivity can be linke
226 th the Aharonov-Bohm effect are observed for integer quantum Hall and FQH states (filling factors nu
227 ric field effect, we observe an unusual half-integer quantum Hall effect for both electron and hole c
229 Since the experimental realization of the integer quantum Hall effect in a two-dimensional electro
230 The experimental discovery of an anomalous integer quantum Hall effect in graphene has enabled the
231 of charge carriers tend to zero; second, the integer quantum Hall effect in graphene is anomalous in
232 vistic character of the charge carriers, the integer quantum Hall effect observed in graphene is qual
236 e responsible for an instability of graphene integer quantum Hall polariton fluids towards a modulate
237 ifferential conductance measurements, in the integer quantum Hall regime, of tunnelling between the e
240 icipants showed peaks at rhythms with simple integer ratios and were similar for musicians and non-mu
241 irds with the smallest deviations from small-integer ratios possess the largest melanin-based black v
242 not preclude biological constraints favoring integer ratios, but they suggest that priors on musical
243 es from the mathematical simplicity of small integer ratios; (ii) that consonance derives from the ph
244 periods may be expressed as ratios of small integers (resonances), often in a many-planet series (ch
246 and bootstrap methods were used to create an integer risk score for estimating the risk of procedural
248 or a positive genotype was used to construct integer risk weights for each independent predictor vari
249 g to the class being referenced will have an integer RKMD with the value of the integer being the deg
251 on myocardial infarction (STEMI) is a simple integer score for bedside risk assessment of patients wi
252 values were assigned to create the weighted integer score for each parameter, yielding the final PIR
253 and bootstrap methods were used to create an integer score for estimating the risk of in-hospital mor
255 ased on logistic regression coefficients, an integer score was created and validated internally and e
256 oportional hazard models were converted into integer scores for predicting seroclearance and predicti
257 o Clinic risk score is constructed by adding integer scores for the presence of eight variables.
262 N is due to the Kramer's doublet with a half-integer spin quantum number of S = 15/2, this relatively
267 Upon addition of NO to oxidized HAO, the integer-spin EPR signal from the active site vanishes, a
268 binds to heme P460 and that the loss of the integer-spin EPR signal is due to the conversion of heme
271 ain a common intermediate with FeMo-co in an integer-spin state having a ground-state "non-Kramers" d
272 ment of Berry's phase and the even parity of integer spins (and odd parity of half-integer spins) und
274 clature consisting of the CDR, length and an integer starting from the largest to the smallest cluste
276 by its chiral index (n,m), where n and m are integers that can have values from zero up to 30 or more
277 oints) was created by assignment of weighted integers that corresponded to the coefficient of each va
278 volume of contrast) were assigned a weighted integer; the sum of the integers was a total risk score
280 n approximate chiral symmetry which gives an integer topological invariant to the system is discussed
282 d with the fractal gaps are described by two integer topological quantum numbers, and report evidence
283 We present the novel framework MITIE (Mixed Integer Transcript IdEntification) for simultaneous tran
284 s as well as a regime characterized by "half-integer transitions"--steps in the magnetization with ha
288 end protein-based approaches by counting the integer-valued number of transcript with single-molecule
289 ates kinetic interpretations in terms of the integer-valued random processes that produce the fluctua
296 gned to create screening scales with optimal integer weights and limited numbers of screening questio
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