Hyperbolic torsion polynomials of pretzel knots

2021 ◽  
Vol 21 (2) ◽  
pp. 265-272
Author(s):  
Takayuki Morifuji ◽  
Anh T. Tran
Keyword(s):  
Infinite Family ◽  
Supporting Evidence ◽  
Pretzel Knots ◽  
Degree Term

Abstract In this paper, we explicitly calculate the highest degree term of the hyperbolic torsion polynomial of an infinite family of pretzel knots. This gives supporting evidence for a conjecture of Dunfield, Friedl and Jackson that the hyperbolic torsion polynomial determines the genus and fiberedness of a hyperbolic knot. The verification of the genus part of the conjecture for this family of knots also follows from the work of Agol and Dunfield [1] or Porti [19].

scholarly journals On the 2-head of the colored Jones polynomial for pretzel knots

2019 ◽  
Vol 70 (4) ◽  
pp. 1353-1370
Author(s):  
Paul Beirne
Keyword(s):  
Jones Polynomial ◽  
Infinite Family ◽  
Higher Order ◽  
Careful Examination ◽  
Colored Jones Polynomial ◽  
Stability Properties ◽  
Pretzel Knots

Abstract In this paper, we prove a formula for the 2-head of the colored Jones polynomial for an infinite family of pretzel knots. Following Hall, the proof utilizes skein-theoretic techniques and a careful examination of higher order stability properties for coefficients of the colored Jones polynomial.

Text Comprehension: Graphic Organizers to the Rescue

2009 ◽  
Vol 10 (3) ◽  
pp. 82-89
Author(s):  
Janet L. Proly ◽  
Jessica Rivers ◽  
Jamie Schwartz
Keyword(s):  
Reading Comprehension ◽  
Text Comprehension ◽  
Graphic Organizers ◽  
Expository Text ◽  
Supporting Evidence

Abstract Graphic organizers are a research based strategy used for facilitating the reading comprehension of expository text. This strategy will be defined and the evolution and supporting evidence for the use of graphic organizers will be discussed. Various types of graphic organizers and resources for SLPs and other educators will also be discussed.

Experimentally increased costs of parental care are shunted to offspring in species with extended care

2019 ◽  
Author(s):  
Gretchen F. Wagner ◽  
Emeline Mourocq ◽  
Michael Griesser
Keyword(s):  
Life History ◽  
Parental Care ◽  
Total Duration ◽  
Bird Species ◽  
Life History Strategy ◽  
Experimental Treatment ◽  
Cost Of Care ◽  
Adult Survival ◽  
Supporting Evidence ◽  
Trade Offs

Biparental care systems are a valuable model to examine conflict, cooperation, and coordination between unrelated individuals, as the product of the interactions between the parents influences the fitness of both individuals. A common experimental technique for testing coordinated responses to changes in the costs of parental care is to temporarily handicap one parent, inducing a higher cost of providing care. However, dissimilarity in experimental designs of these studies has hindered interspecific comparisons of the patterns of cost distribution between parents and offspring. Here we apply a comparative experimental approach by handicapping a parent at nests of five bird species using the same experimental treatment. In some species, a decrease in care by a handicapped parent was compensated by its partner, while in others the increased costs of care were shunted to the offspring. Parental responses to an increased cost of care primarily depended on the total duration of care that offspring require. However, life history pace (i.e., adult survival and fecundity) did not influence parental decisions when faced with a higher cost of caring. Our study highlights that a greater attention to intergenerational trade-offs is warranted, particularly in species with a large burden of parental care. Moreover, we demonstrate that parental care decisions may be weighed more against physiological workload constraints than against future prospects of reproduction, supporting evidence that avian species may devote comparable amounts of energy into survival, regardless of life history strategy.

RACIAL STEREOTYPING OF HOMO SAPIENS AFRICANUS: A REVIEW OF ITS MYTH AND IMPACT ON DEVELOPMENTAL CAPACITY

2016 ◽  
Vol 45 (2) ◽  
pp. 49-71 ◽  
Author(s):  
Seth Oppong
Keyword(s):  
Immanuel Kant ◽  
David Hume ◽  
Negative Impact ◽  
Homo Sapiens ◽  
Supporting Evidence ◽  
White People ◽  
Negative Stereotypes ◽  
Initial Errors ◽  
Developmental Capacity ◽  
Lower Intelligence

Generally, negatives stereotypes have been shown to have negative impact on performance members of a social group that is the target of the stereotype (Schmader, Johns and Forbes 2008; Steele and Aronson, 1995). It is against the background of this evidence that this paper argues that the negative stereotypes of perceived lower intelligence held against Africans has similar impact on the general development of the continent. This paper seeks to challenge this stereotype by tracing the source of this negative stereotype to David Hume and Immanuel Kant and showing the initial errors they committed which have influenced social science knowledge about race relations. Hume and Kant argue that Africans are naturally inferior to white or are less intelligent and support their thesis with their contrived evidence that there has never been any civilized nation other than those developed by white people nor any African scholars of eminence. Drawing on Anton Wilhelm Amo’s negligence-ignorance thesis, this paper shows the Hume-Kantian argument and the supporting evidence to be fallacious. 

Practical consensus recommendations - Current role of immune response evaluation criteria in solid tumors criteria in the management of cancer patients receiving immunotherapy

2019 ◽  
Vol 4 ◽  
pp. 21-23
Author(s):  
Purvish M. Parikh ◽  
T. P. Sahoo ◽  
Randeep Singh ◽  
Bahl Ankur ◽  
Talvar Vineet ◽  
...  
Keyword(s):  
Immune Response ◽  
Solid Tumors ◽  
Evaluation Criteria ◽  
Supporting Evidence ◽  
Response Evaluation ◽  
Consensus Recommendation ◽  
Current Role ◽  
New Class ◽  
Response Evaluation Criteria

Response evaluation criteria in solid tumors (RECIST) are a method used to evaluate and document the response to cancer treatment in solid tumors. The availability of a new class of immuneoncology drugs has resulted in the need to modify RECIST criteria methodology. The first leadership immuno-oncology network (LION) master course brought together experts in oncology and immuno-oncology. Six questions were put to the experts and their opinion, supporting evidence, and experience were discussed to arrive at a practical consensus recommendation. n this nascent field, the availability of a practical consensus recommendation developed by experts in the field is of immense value to the community oncologist and other health-care consultants.

What you morph is not what you get: Subjective and neural responses to facial expressions of emotion depend on perceived intensity/arousal (not on amount of morphing)

2020 ◽  
Author(s):  
Fernando Ferreira-Santos ◽  
Mariana R. Pereira ◽  
Tiago O. Paiva ◽  
Pedro R. Almeida ◽  
Eva C. Martins ◽  
...  
Keyword(s):  
Facial Expressions ◽  
Electrophysiological Study ◽  
Objective Measure ◽  
Event Related Potential ◽  
Supporting Evidence ◽  
Emotional Intensity ◽  
Neural Responses ◽  
Facial Stimuli ◽  
Facial Expressions Of Emotion ◽  
Processing Techniques

The behavioral and electrophysiological study of the emotional intensity of facial expressions of emotions has relied on image processing techniques termed ‘morphing’ to generate realistic facial stimuli in which emotional intensity can be manipulated. This is achieved by blending neutral and emotional facial displays and treating the percent of morphing between the two stimuli as an objective measure of emotional intensity. Here we argue that the percentage of morphing between stimuli does not provide an objective measure of emotional intensity and present supporting evidence from affective ratings and neural (event-related potential) responses. We show that 50% morphs created from high or moderate arousal stimuli differ in subjective and neural responses in a sensible way: 50% morphs are perceived as having approximately half of the emotional intensity of the original stimuli, but if the original stimuli differed in emotional intensity to begin with, then so will the morphs. We suggest a re-examination of previous studies that used percentage of morphing as a measure of emotional intensity and highlight the value of more careful experimental control of emotional stimuli and inclusion of proper manipulation checks.

Is Alzheimer disease a failure of mobilizing immune defense? Lessons from cognitively fit oldest-old

2019 ◽  
Vol 21 (1) ◽  
pp. 7-19 ◽  
Keyword(s):  
Alzheimer Disease ◽  
Cognitive Aging ◽  
Oldest Old ◽  
Adaptive Immune Response ◽  
Effector T Cells ◽  
Immune Defense ◽  
Supporting Evidence ◽  
Therapeutic Approaches ◽  
Related Data ◽  
Adaptive Immune

Multifaceted evidence supports the hypothesis that inflammatory-immune mechanisms contribute to Alzheimer disease (AD) neuropathology and genetic association of several immune specific genes (TREM2, CR1, and CD33) suggests that maladaptive immune responses may be pivotal drivers of AD pathogenesis. We reviewed microglia-related data from postmortem AD studies and examined supporting evidence from AD animal models to answer the following questions: i) What is the temporal sequence of immune activation in AD progression and what is its impact on cognition? ii) Are there discordant, "primed", microglia responses in AD vs successful cognitive aging? iii) Does central nervous system (CNS) repair in aging depend on recruitment of the elements of cellular adaptive immune response such as effector T cells, and can the recruitment of systemic immune cells ameliorate AD neuropathology? iv) How effective are the immune-system-based therapeutic approaches currently employed for the treatment of AD?

WikiRecs primary care: developing rapid recommendations for primary care through effective collaboration between systematic review and guideline teams

2018 ◽  
Vol 68 (suppl 1) ◽  
pp. bjgp18X697085
Author(s):  
Trudy Bekkering ◽  
Bert Aertgeerts ◽  
Ton Kuijpers ◽  
Mieke Vermandere ◽  
Jako Burgers ◽  
...  
Keyword(s):  
Systematic Review ◽  
Primary Care ◽  
Clinical Practice ◽  
Primary Care Physicians ◽  
Urinary Stones ◽  
Care Practice ◽  
Supporting Evidence ◽  
Supervised Exercise ◽  
Review Team ◽  
New Evidence

BackgroundThe WikiRecs evidence summaries and recommendations for clinical practice are developed using trustworthy methods. The process is triggered by studies that may potentially change practice, aiming at implementing new evidence into practice fast.AimTo share our first experiences developing WikiRecs for primary care and to reflect on the possibilities and pitfalls of this method.MethodIn March 2017, we started developing WikiRecs for primary health care to speed up the process of making potentially practice-changing evidence in clinical practice. Based on a well-structured question a systematic review team summarises the evidence using the GRADE approach. Subsequently, an international panel of primary care physicians, methodological experts and patients formulates recommendations for clinical practice. The patient representatives are involved as full guideline panel members. The final recommendations and supporting evidence are disseminated using various platforms, including MAGICapp and scientific journals.ResultsWe are developing WikiRecs on two topics: alpha-blockers for urinary stones and supervised exercise therapy for intermittent claudication. We did not face major problems but will reflect on issues we had to solve so far. We anticipate having the first WikiRecs for primary care available at the end of 2017.ConclusionThe WikiRecs process is a promising method — that is still evolving — to rapidly synthesise and bring new evidence into primary care practice, while adhering to high quality standards.

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