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1 eural population responses called an 'object manifold'.
2 S(N)2-like nucleophilic attack/ring-opening manifold.
3 he crystal field splitting of the (4)I(15/2) manifold.
4 th the evolution of the system's temperature manifold.
5 ties within an organometallic C-C activation manifold.
6 phs through subspace analysis on a Grassmann manifold.
7 a drift-diffusion process over a ring-shaped manifold.
8 o the injection valve of the continuous flow manifold.
9 most of the broadening in the OH stretching manifold.
10 ted molecule from the singlet to the triplet manifold.
11 elation," involving both a string and the 3D manifold.
12 g element in a flow injection analysis (FIA) manifold.
13 and one forbidden, within the S = (3)/2 spin manifold.
14 on via a dual cobalt and photoredox catalyst manifold.
15 effects of plant volatiles on herbivores are manifold.
16 from higher energy states within the (3)MLCT manifold.
17 the ion trap mass analyzer inside the vacuum manifold.
18 ultrafast dimerization occurs in the singlet manifold.
19 ries is more rapid than in the mannopyranose manifold.
20 ed with higher reaction rates in the triplet manifold.
21 that the reaction proceeds through a radical manifold.
22 absent other human pressures, which are now manifold.
23 ns meet again to expand the polyene-carbonyl manifold.
24 is isometric to the latent variables of the manifold.
25 can be individually approximated by a single manifold.
26 y in the low-dimensional population response manifold.
27 ic topological character of the Te p-orbital manifold.
28 , the principle of least action on a Finsler manifold.
29 cs that are constrained to a low-dimensional manifold.
30 odule has been integrated into the presented manifold.
31 yields and high enantioselectivities in both manifolds.
32 the intrinsic dimension of extremely curved manifolds.
33 ransformation routes used and their involved manifolds.
34 facilitating exploration of vastly larger GI manifolds.
35 d formations enabled by Ni- and Cu-catalyzed manifolds.
36 by crystallography and HPLC for both product manifolds.
37 loying this class of catalysts in photoredox manifolds.
38 cribe discrete spaces as homogeneous network manifolds.
39 interactions in both the singlet and triplet manifolds.
40 information in multidimensional steady-state manifolds.
41 tivation modes and unprecedented selectivity manifolds.
42 on topologically-constrained configurational manifolds.
43 z for transitions within the same rotational manifold(1), a few gigahertz for hyperfine transitions,
44 400 nm excites the molecule into the quintet manifold ((5)MLCT <-- (5)MC) and leads to the observatio
47 esulting in a single 2D image of the stained manifold across which contrast is optimized and illumina
48 or future therapeutic interventions, but the manifold actions of extracellular DNA traps complicate t
49 its biological context, as the expression of manifold adaptations, compels a rethinking of measuring
50 ryptophan was detected with a flow-injection manifold after reacting with mM order of fluorogenic o-p
52 harmaceuticals and health care products grew manifold, allowing an increase in life expectancy and a
53 n of an equifinality method (Goal Equivalent Manifold; an index related to the set of effective motor
55 gative matrix factorization and uncontrolled manifold analysis were performed to decompose inter-repe
56 MF) with HPLC-MS, using a custom, 3D-printed manifold and a custom plugin to the popular open-source
57 ping was enabled by a low-dimensional curved manifold and allowed us to further probe the potential c
58 Cartridges with and without a sheath gas manifold and an electrostatic lens are compared with res
59 d synaptic caching, boosts energy efficiency manifold and can be used with any plasticity rule, inclu
60 simple properties of the tangent space of a manifold and extends the usual correlation integral esti
61 e causes of this complex human condition are manifold and include a substantial genetic component.
62 oes not depend on the shape of the intrinsic manifold and is highly accurate, even for exceedingly sm
64 se studies directly probe the excitonic spin manifold and reveal the fine spin-splitting at the condu
65 ary mechanistic study supports this reaction manifold and shows the intersection of metal-catalyzed H
66 performance reconfigures the low-dimensional manifold and that deviations from these patterns relate
68 ciated with changes in the geometry of those manifolds, and recent theoretical progress connects this
70 a new class of fluorescent nanocrystals for manifold applications, from biophotonics to nanomedicine
71 fication of samples on a molecular level has manifold applications, from patient classification regar
72 ternal noise limits memory fidelity, and the manifold approach reveals new dynamical trajectories dur
73 nsionality reduction methods such as Uniform Manifold Approximation and Projection (UMAP) can be very
76 and projected onto a 2D space using Uniform Manifold Approximation and Projection (UMAP), a novel no
80 NMR spectra of each member of the structural manifold are predicted and compared with the experimenta
81 t stable latent cortical dynamics within the manifold are the fundamental building blocks underlying
83 se naturally arise within a single p-orbital manifold as a general consequence of a trigonal crystal
84 ent along the constant speed goal equivalent manifold as postulated by Dingwell et al. 10.1371/journa
85 a known for synthetic libraries, and all had manifold ascribed bioactivities, designating them as inv
86 vironment that controls their properties via manifold avenues including weak protein-macromolecule in
92 lights opportunities to access new catalytic manifolds by merging photoredox catalysis with biocataly
93 iginating from either the singlet or quintet manifold can be explored using variable wavelength laser
94 ected during real-time evolution can lead to manifold changes in enzyme function and bacterial fitnes
96 Histamine intolerance is thought to trigger manifold clinical symptoms after ingesting histamine-ric
98 ge with an electrostatic lens and sheath gas manifold compared to the cartridge without (15% and over
100 glass transition is a low-dimensional, slow manifold consisting largely of the Euler angles describi
102 n-carbon bond formation can be gauged by the manifold constraints that were efficiently overcome, nam
103 high-dimensional landscapes of cell states (manifolds) constructed from transcriptional phenotypes.
104 t shared variance increases, consolidating a manifold containing consistent neural trajectories that
105 ic population of the [Cu(2)(mu(2)-NAr)] pai* manifold, contrasting previous methods for engendering i
108 random geometric graphs in three Lorentzian manifolds corresponding to universes filled only with da
110 he ability to generate novel molecules along manifolds, defined by chemical property analogues, posit
111 on of lattice tight-binding models on closed manifolds demonstrates that these results continue to ho
113 s orthogonal to conventional metal-catalysed manifolds, diverse aryl and heteroaryl partners can be r
114 rease due to climate change, which will have manifold ecological and societal impacts including the p
116 opulation variation in vaccine responses are manifold, emerging evidence points to a key role for the
118 ance of the continuous structure of the data manifold enables the better visualisation of this examin
119 ghts how individual gut bacteria orchestrate manifold enzymes to metabolize the most challenging glyc
123 e demonstrate the broad implications of this manifold for accomplishing numerous C(sp(3))-H bond func
125 tion of an embedded electrostatic lens and a manifold for internal sheath gas distribution and delive
127 tion of multiple transitions within a single manifold for QC remains unrealized in these high-spin sp
129 of the transformation reveals an unexpected manifold for stereoinduction involving dynamic kinetic r
130 we disclose a general and reliable reaction manifold for the construction of highly substituted hete
134 , the search space is treated as the product manifold [Formula: see text], where [Formula: see text]
136 ely estimate the geometry of low-dimensional manifolds from a small number of linear projections of t
137 heoretical and computational Goal Equivalent Manifold (GEM) framework to generate predictive models,
140 t and given the importance of the data-space manifold geometry for machine-learning model selection,
143 ontrol and the framework of the uncontrolled manifold hypothesis to explore the synergic control of a
145 ntages of such a copolymerization system are manifold: (i) no need for multistep catalyst/ligand synt
148 -dimensional, secondary-structure constraint manifold in conformation space, where motions are largel
149 lows: (i) extracting and mapping the stained manifold in each stack into a single 2D projection plane
151 importance of the newly formed excited-state manifold in TBPCExBox(4+) for the population of the low-
152 developed algorithm that actually finds the manifold in the stack based on maximizing contrast, inte
156 sults from establishing task-relevant neural manifolds in sensorimotor cortical areas and how the geo
157 general method for embedding a 'manifold of manifolds', in which each datapoint in the higher-level
158 yzed C(sp(3))-H activation via various redox manifolds, including Pd(0)/Pd(II), Pd(II)/Pd(IV), and Pd
159 -system crossing between triplet and singlet manifolds, indicating that optically-addressable spin de
160 essels, act as molecular fossils and provide manifold information about past people's subsistence, di
161 In addition, endophytic microbiota and the manifold interactions between members, including pathoge
168 statistical approach to estimate a nonlinear manifold is well suited for raw, unfiltered gene counts
169 s and provides molecular level insights into manifold issues of chemical and biochemical relevance.
174 perspective on topological data analysis and manifold learning approaches to the analysis of large-sc
175 or these unobserved molecular changes with a manifold learning method applied to RNA-Seq data collect
176 Here we propose the use of diffusion maps, a manifold learning technique, to obtain an embedding of p
179 mework that combines archetypal analysis and manifold learning to provide a ready-to-use analytical a
180 included principal component analysis (PCA), manifold learning, and unsupervised clustering to identi
182 that the alignment of low-dimensional neural manifolds (low-dimensional spaces that describe specific
183 thod are invariant to diffeomorphisms of the manifold, making it possible to match between different
184 s suggest that the DKR-based stereoinduction manifold may be responsible for stereoselectivity observ
186 ectures form due to self-organization of the manifold mineral and organic soil components to distinct
187 oach that may be applied clinically to treat manifold neurodegenerative diseases characterized by axo
191 eneous catalysis led to the development of a manifold of chiral NHCs as stereodirecting ancillary lig
192 a twisted chromophore geometry, producing a manifold of close-lying excited states and dipole moment
195 The spatial size and electronic energy of a manifold of CT states are resolved at the zinc phthalocy
196 ' is a property which can be attributed to a manifold of different immaterial systems, such as ideas,
200 ow for a detailed characterization of the 3d-manifold of effectively localized Co(IV) centers and pro
201 he crystal field splitting of the (4)I(13/2) manifold of Er implanted Si, and allows us to revise the
202 me softening and reconstruction of an entire manifold of low-energy acoustic and optic branches acros
203 ation (200 +/- 15 fs) within the superatom D manifold of lowest-unoccupied molecular orbitals was res
204 PhEMD is a general method for embedding a 'manifold of manifolds', in which each datapoint in the h
205 ication technique is thus established with a manifold of opportunities in photonic applications.
206 viding easy access to the full computational manifold of our system and making it convenient to imple
207 n for the apo-monomeric CBD occurs through a manifold of pathways that are more divergent than previo
208 he doubly excited, spin-singlet state to the manifold of quintet states and comment on the mechanism
210 ng to our analysis, metal coordination has a manifold of rewards, putting it primo loco in opportunit
212 shell-closing gap at the top of the occupied manifold of the delocalized electronic superatom spectru
214 ansition-metal-carbon bonds is a mechanistic manifold of vast significance: it underlies the Fischer-
215 s reveal spectral features associated with a manifold of vibrational Feshbach resonances and bound st
218 in sub-millisecond timescales, show complex manifolds of conformational states, and often show state
219 exclusively by relaxation through electronic manifolds of different spin multiplicity: trans-to-cis i
220 i) quantum annealers sample the ground-state manifolds of spin glasses very differently than thermal
223 which we believe originates from the energy manifolds of the modulated Mn(2+) sublattice and its def
224 in which each datapoint in the higher-level manifold (of biospecimens) represents a collection of po
226 via electronic relaxation within the singlet manifold on a time scale of 40 ps; in contrast, cis-to-t
227 id ISC processes into and out of the triplet manifold on time scales of approximately 2 ps and 0.4 ns
228 les and vice versa are a few examples of the manifold opportunities associated with the use of semico
229 tion of a specific state in the valence band manifold originating from the hybridized lone pair in ni
232 change interaction in the correlated triplet manifold plays a critical role dictating (1)TT yield in
233 with bioorganisms; as a result, FGNs present manifold possibilities for diverse biological applicatio
234 ion metric, which we call denoised embedding manifold preservation (DEMaP), and show that PHATE produ
237 erences, we assessed in vitro the ability of manifold progestins to transactivate zebrafish (zf) and
239 confirmed the complex multistep mechanistic manifold proposed by others; however, the formation of a
241 chieve it, through orchestrated reduction of manifolds' radius, dimensionality and inter-manifold cor
243 n which the kISC magnitude dominates singlet manifold relaxation dynamics but does not give rise to T
245 tes that are 1) consistent with the physical manifold, resulting in physically meaningful predictions
250 d mechanisms embodied as structured flows on manifold (SFM) that provide a formal description of beha
251 mental quantum annealer samples ground-state manifolds significantly differently than thermal and ide
254 f a superconducting resonator to the quantum manifold spanned by two coherent states of opposite phas
256 the topology, geometry and dimensionality of manifold structure in such point clouds, we reveal insig
259 he method involves fitting a one-dimensional manifold that characterizes variation in response timeco
260 al activity converged onto a low-dimensional manifold that facilitates the execution of diverse task
261 e vector fields of class C(1) on a compact 3-manifold that is associated with a well-behaved integral
263 generating a characteristic cell behavioral manifold that is preserved under a perturbation to cell
264 ailed Student's t-distribution to estimate a manifold that is robust to technical and biological nois
265 ondary alcohols in a redox-neutral catalysis manifold that produces water as the sole by-product.
266 oxidation-state-coupled molecular switching manifold that reports its switch-state conformation via
269 s has consistently uncovered low-dimensional manifolds that capture a significant fraction of neural
270 ination, and miniaturized 3D printed pumping manifolds that were integrated to enable time-resolved i
271 enerates all feasible structures (structural manifold) that are consistent with these chemical formul
272 ifluoromethyl ketones through a formal [4+2] manifold to access highly enantioenriched dihydrobenzoxa
273 microwave-assisted and base-catalyzed domino manifold to construct 2,4-cyclohexadienone derivatives h
274 w field flow fraction (AF4) using a splitter manifold to enable online particle separation and counti
275 e system on an appropriate flat "Bieberbach" manifold to obtain the filling conditions for all 230 sp
276 photoexcited dye relaxes through the (3)MLCT manifold to the thermally equilibrated state, underscori
278 functional group via both polar and radical manifolds to unlock a wide array of C-H transformations
280 serving as formal sources of 1, a reactivity manifold traditionally reserved for transition metals.
281 ontrol and the framework of the uncontrolled manifold (UCM) hypothesis to test two hypotheses: (i) in
282 ges in the geometry of the associated object manifolds underlie this improved capacity, and shed ligh
285 s Euler-Lagrange equations on the Riemannian manifold, was obtained from the principle of least actio
287 tion of alkenes via an I(I)/I(III) catalysis manifold were independently reported by this laboratory
289 ctivity patterns that span a low-dimensional manifold which remains stable across different environme
290 near deformation of an underlying Riemannian manifold, which is parametrized by a few normalized, lat
291 ollection of discrete clusters and branching manifolds, which constitute strategies spanning life in
292 employed a phase separation/continuous flow manifold whose advantages include catalysis, fast reacti
293 nsider that they trace out a low-dimensional manifold whose dimension and topology match the represen
296 atalyst and proceeds within an iodine(I/III) manifold with conventional 3-chloroperbenzoic acid as a
298 ssion and show how the formation of vibronic manifolds with a high density of states facilitates fast
299 ow, which have been used to decompose smooth manifolds with astonishing successes in mathematics, to