scholarly journals A note on the concordance invariants Upsilon and phi

2021 ◽  
Author(s):  
Shida Wang
Keyword(s):  
Opposite Direction ◽  
Recursive Formula ◽  
Torus Knots ◽  
Linearly Independent

Dai, Hom, Stoffregen and Truong defined a family of concordance invariants [Formula: see text]. The example of a knot with zero Upsilon invariant but nonzero epsilon invariant previously given by Hom also has nonzero phi invariant. We show there are infinitely many such knots that are linearly independent in the smooth concordance group. In the opposite direction, we build infinite families of linearly independent knots with zero phi invariant but nonzero Upsilon invariant. We also give a recursive formula for the phi invariant of torus knots.

Is Red Really Romantic?

2017 ◽  
Vol 48 (3) ◽  
pp. 174-183 ◽  
Author(s):  
Gabrielle K. Lehmann ◽  
Robert J. Calin-Jageman
Keyword(s):  
Opposite Direction ◽  
Positive Control ◽  
Weak Effect ◽  
Sample Sizes ◽  
Quality Controls

Abstract. Red has been reported to enhance attraction for women rating men ( Elliot et al., 2010 ) and men rating women ( Elliot & Niesta, 2008 ). We replicated one of these studies online and in-person. To ensure rigor, we obtained original materials, planned for informative sample sizes, pre-registered our study, used a positive control, and adopted quality controls. For men, we found a very weak effect in the predicted direction (d = 0.09, 95% CI [−0.17, 0.34], N = 242). For women, we found a very weak effect in the opposite direction (d = −0.09, 95% CI [−0.30, 0.12], N = 360). The original studies may have overestimated the red effect, our studies may be an underestimate, or there could be strong moderation of the effect of red on attraction.

Productly linearly independent sequences

2015 ◽  
Vol 52 (3) ◽  
pp. 350-370
Author(s):  
Jaroslav Hančl ◽  
Katarína Korčeková ◽  
Lukáš Novotný
Keyword(s):  
Rational Numbers ◽  
Infinite Products ◽  
Linearly Independent ◽  
New Concepts ◽  
Infinite Sequences

We introduce the two new concepts, productly linearly independent sequences and productly irrational sequences. Then we prove a criterion for which certain infinite sequences of rational numbers are productly linearly independent. As a consequence we obtain a criterion for the irrationality of infinite products and a criterion for a sequence to be productly irrational.

Spontaneous self-affirmation before and during COVID-19: Associations with information-seeking, worry and adherence

2020 ◽  
Author(s):  
Tracy Epton ◽  
Chris Keyworth ◽  
Chris Armitage
Keyword(s):  
Older Adults ◽  
Opposite Direction ◽  
Information Seeking ◽  
Demographic Characteristics ◽  
Brief Interventions ◽  
Adaptive Behaviors ◽  
Uk Government ◽  
Nationally Representative

Objective: To assess the extent of spontaneous self-affirmation pre COVID-19 and during COVID-19 pandemic to identify for whom self-affirmation interventions might be helpful; and the extent to which spontaneous self-affirmation is associated with increased information-seeking, worry and adherence to UK government instructions. Methods: Two large nationally-representative surveys of UK adults were conducted via YouGov in March 2019 (pre COVID-19; N = 10421) and April 2020 (during COVID-19; N = 2252); both surveys measured demographic characteristics and spontaneous self-affirmation. The latter survey included measures of time spent accessing COVID-19 related news, worry about COVID-19 related news and degree of adherence to UK government instructions. Results: Spontaneous self-affirmation was lower before COVID-19 (44%) than it was during the pandemic (57%), although the pattern was in the opposite direction among older adults. Older adults were more likely to spontaneously self-affirm during COVID-19 than pre COVID-19. Greater spontaneous self-affirmation was associated with more time spent accessing news, and greater adherence to UK government instructions, but not media-related worry. Conclusions: The threat of COVID-19 may have triggered greater levels of spontaneous self-affirmation, which could give people the resources they needed to allow them to seek COVID-19-related news and adhere to UK government instructions. Groups lower in spontaneous self-affirmation, such as younger people could be targeted with brief interventions to promote self-affirmation and encourage performance of adaptive behaviors.

Holomorphically projective mappings between generalized m-parabolic Kähler manifolds

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4865-4873 ◽  
Author(s):  
Milos Petrovic
Keyword(s):  
Linear Systems ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Covariant Derivatives ◽  
Linearly Independent ◽  
Non Linear ◽  
Non Linear Systems ◽  
Curvature Tensors ◽  
Derivatives Of

Generalized m-parabolic K?hler manifolds are defined and holomorphically projective mappings between such manifolds have been considered. Two non-linear systems of PDE?s in covariant derivatives of the first and second kind for the existence of such mappings are given. Also, relations between five linearly independent curvature tensors of generalized m-parabolic K?hler manifolds with respect to these mappings are examined.

Crystal Structure and Conformation of Ring A of 2β-Bromo-19β,28-epoxy-18α-oleanan-3-one

1993 ◽  
Vol 58 (11) ◽  
pp. 2737-2744 ◽  
Author(s):  
Jiří Novotný ◽  
Jaroslav Podlaha ◽  
Jiří Klinot
Keyword(s):  
Crystal Structure ◽  
Opposite Direction ◽  
Chair Conformation ◽  
Boat Conformation ◽  
Form Ring ◽  
Twist Boat

The crystal structure of β-bromo-19β,28-epoxy-18α-oleanan-3-one was elucidated. The crystal is orthorhombic, P212121, a = 9.686(1), b = 14.355(2), c = 19.687(4) Å, Z = 4, R = 0.042 for 2 410 observed reflections. Rings B, C, D and E adopt the chair conformation, the five membered ether cycle in ring E occurs in the envelope form. Ring A takes the twist-boat conformation turned towards the classical boat with C2 and C5 in the stem-stern position, in contrast to the conformation in solution, which is turned in the opposite direction towards the classical boat with C3 and C10 in the stem-stern positions.

Presocratic Theology

2009 ◽  
Author(s):  
T. M. Robinson
Keyword(s):  
Opposite Direction ◽  
Greek Thought ◽  
The World ◽  
Causal Sequence ◽  
The Universe

If in the context of early and classical Greek thought, the term “theology” is taken to mean “of God/gods/the gods and his/their putative relationship, causal and directive, to the world and its operations, and to ourselves within that world,” or something of that order, the first ascription of such a notion to a Presocratic philosopher is to be found in Aristotle's comment that “Thales thought that all things are full of gods”. The Presocratic period ends with no neat causal sequence. If one train of thinking was moving in the direction of a divinely guided, teleologically explicable universe, another was moving in exactly the opposite direction. For the atomists Democritus and Leucippus, the ever-changing universe is an infinity of space in which, across eternity, chance agglomerations of ever-moving atoms produce and will forever go on producing those contents of the universe that we call realities, from gazelles to galaxies.

Boundary Value Problems of Electroelasticity with Concentrated Singularities

1994 ◽  
Vol 1 (5) ◽  
pp. 459-467
Author(s):  
T. Buchukuri ◽  
D. Yanakidi
Keyword(s):  
Singular Point ◽  
Boundary Value Problems ◽  
Power Function ◽  
Boundary Value ◽  
Linearly Independent

Abstract We investigate the solutions of boundary value problems of linear electroelasticity, having growth as a power function in the neighbourhood of infinity or in the neighbourhood of an isolated singular point. The number of linearly independent solutions of this type is established for homogeneous boundary value problems.

Improvement of Enhanced Opposite Direction Searching Algorithm

2021 ◽  
pp. 1-1
Author(s):  
Li Wu ◽  
Fucai Qian ◽  
Min Wang ◽  
Ting Shang
Keyword(s):  
Opposite Direction

scholarly journals Colored HOMFLY-PT for hybrid weaving knot $$ {\hat{\mathrm{W}}}_3 $$(m, n)

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Vivek Kumar Singh ◽  
Rama Mishra ◽  
P. Ramadevi
Keyword(s):  
Closed Form ◽  
Topological Strings ◽  
Chebyshev Polynomials ◽  
Fibonacci Numbers ◽  
Infinite Family ◽  
Closed Form Expression ◽  
Two Dimensional ◽  
Laurent Polynomials ◽  
Form Expression ◽  
Torus Knots

Abstract Weaving knots W(p, n) of type (p, n) denote an infinite family of hyperbolic knots which have not been addressed by the knot theorists as yet. Unlike the well known (p, n) torus knots, we do not have a closed-form expression for HOMFLY-PT and the colored HOMFLY-PT for W(p, n). In this paper, we confine to a hybrid generalization of W(3, n) which we denote as $$ {\hat{W}}_3 $$ W ̂ 3 (m, n) and obtain closed form expression for HOMFLY-PT using the Reshitikhin and Turaev method involving $$ \mathrm{\mathcal{R}} $$ ℛ -matrices. Further, we also compute [r]-colored HOMFLY-PT for W(3, n). Surprisingly, we observe that trace of the product of two dimensional $$ \hat{\mathrm{\mathcal{R}}} $$ ℛ ̂ -matrices can be written in terms of infinite family of Laurent polynomials $$ {\mathcal{V}}_{n,t}\left[q\right] $$ V n , t q whose absolute coefficients has interesting relation to the Fibonacci numbers $$ {\mathrm{\mathcal{F}}}_n $$ ℱ n . We also computed reformulated invariants and the BPS integers in the context of topological strings. From our analysis, we propose that certain refined BPS integers for weaving knot W(3, n) can be explicitly derived from the coefficients of Chebyshev polynomials of first kind.

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