A Gauss paragraph is a combinatorial formulation of a generic closed curve with multiple components on some surface. A virtual string is a collection of circles with arrows that represent the crossings of such a curve. Every closed curve has an underlying virtual string and every virtual string has an underlying Gauss paragraph. A word-wise partition is a partition of the alphabet set of a Gaus...

results paragraph: ‘Ireland’ to be replaced by ‘this initiative’. This correction has been made in the revised version of the manuscript Abstract Methods; In sample ‘practices’ paragraph: -‘3’ to be replaced by ‘three’, ‘Chose’ by ‘chosen’ and ‘10’ by ‘ten’ The highlighted typing errors have been corrected in the revised version of the manuscript. Methods Sample ‘The sample represents a small p...

5. Amend § 401.420 as follows: a. In paragraph (a), remove the text ‘‘$127’’ and add, in its place, the text ‘‘$122’’; and remove the text ‘‘$1,989’’ and add, in its place, the text ‘‘$1,910’’; b. In paragraph (b), remove the text ‘‘$127’’ and add, in its place, the text ‘‘$122’’; and remove the text ‘‘$1,989’’ and add, in its place, the text ‘‘$1,910’’; and c. In paragraph (c)(1), remove the t...

This paper presents a study of employing Ranking SVM and Convolutional Neural Network for two missions: legal information retrieval and question answering in the Competition on Legal Information Extraction/Entailment. For the first task, our proposed model used a triple of features (LSI, Manhattan, Jaccard), and is based on paragraph level instead of article level as in previous studies. In fac...

A classical link in 3-space can be represented by a Gauss paragraph encoding a link diagram in a combinatorial way. A Gauss paragraph may code not a classical link diagram, but a diagram with virtual crossings. We present a criterion and a linear algorithm detecting whether a Gauss paragraph encodes a classical link. We describe Wirtinger presentations realizable by virtual link groups.

After publication of this article [1], the authors became aware that the numerical codes for two of the datasets, protocols III.3 and III.4, were inadvertently confused during the writing of the paper. Accordingly, the following corrigenda apply: • Abstract, last line: For ‘distributed electrical stimulation,’ read ‘elevated extracellular magnesium concentrations.’ • Background, last paragraph ...

NEUROSCIENCE, PSYCHOLOGICAL AND COGNITIVE SCIENCES Correction for “Top-down control of the phase of alpha-band oscillations as a mechanism for temporal prediction,” by Jason Samaha, Phoebe Bauer, Sawyer Cimaroli, and Bradley R. Postle, which appeared in issue 27, July 7, 2015, of Proc Natl Acad Sci USA (112:8439–8444; first published June 22, 2015; 10.1073/ pnas.1503686112). The authors note th...

■ 2. Section 180. 628 is amended as follows: ■ i. Add alphabetically tolerances for beet, sugar, molasses; berry large shrub/ tree, subgroup 13–07C; berry, low growing, subgroup at 13–07G; onion, bulb, subgroup 3–07A; tea, dried; Ti, leaves; Ti, root; vegetable, leaves of root and tuber, group 2; vegetable, root and tuber, group 1; to the table in paragraph (a); ■ ii. Revise the tolerances for ...

To deliver these multidimensional impacts, TDM must be embedded within quality assurance and development teams, alike. Moreover, TDM must also intersect with other disciplines such as release management, environment management and data security (see Figure 1). TDM acts as a conduit between development and QA teams. It also needs to interface with the disciplines shown in the diagram to deliver ...

Please note that in the published paper [1], on page 5, three sentences in the second paragraph are wrongly placed in the third paragraph.[...].