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Articles 1 - 10 of 10
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Investigating Secondary Students Beliefs About Mathematical Problem-Solving, Mark Prendergast, Cormac Breen, Aibhin Bray, Fiona Faulkner, Brian Carroll, Dominic Quinn
Investigating Secondary Students Beliefs About Mathematical Problem-Solving, Mark Prendergast, Cormac Breen, Aibhin Bray, Fiona Faulkner, Brian Carroll, Dominic Quinn
Articles
Many studies over the past thirty years have highlighted the important role of students’ beliefs for successful problem solving in mathematics. Given the recent emphasis afforded to problem solving on the reformed Irish secondary school mathematics curriculum, the main aim of this study was to identify Irish students’ (n = 975) beliefs about the field. A quantitative measure of these beliefs was attained through the use of the Indiana Mathematical Belief Scale, an existing thirty item (five scale) self-report questionnaire. A statistical analysis of the data revealed that students who were further through their secondary education had a stronger belief …
General Dissipative Materials For Simple Histories, John Murrough Golden, G. Amendola, M. Fabrizio
General Dissipative Materials For Simple Histories, John Murrough Golden, G. Amendola, M. Fabrizio
Articles
A material with memory typically has a set of many free energy functionals associated with it, all members of which yield the same constitutive relations. An alternative interpretation of this set is explored in the present work. Explicit formulae are derived for the free energy and total dissipation of an arbitrary material in the cases of step function and sinusoidal/exponential histories. Expressions for the fraction of stored and dissipated energy are deduced. Also, various formulae are given for discrete spectrum materials. For materials with relaxation function containing one decaying exponential, the associated Day functional is the physical free energy. For …
Direct Immunoassays And Their Performance: Theoretical Modelling Of The Effects Of Antibody Orientation And Associated Kinetics, Dana Mackey, Eilis Kelly, Robert Nooney, Richard O'Kennedy
Direct Immunoassays And Their Performance: Theoretical Modelling Of The Effects Of Antibody Orientation And Associated Kinetics, Dana Mackey, Eilis Kelly, Robert Nooney, Richard O'Kennedy
Articles
The orientation and activity of antibodies immobilized on solid surfaces are of direct relevance to many immunosensing applications. We therefore investigate a mathematical model which estimates the fraction of antibodies which are available for reaction in a randomly adsorbed sample. Numerical simulations are presented which highlight the separate effects of antibody orientation, accessibility and loss of binding ability on the amount of captured antigen. The assay response can then be expressed as a function of total antibody density and used for optimizing the surface coverage strategy under various conditions.
Dynamical Analysis Of An N−H−T Cosmological Quintessence Real Gas Model With A General Equation Of State, Emil Prodanov, Rossen Ivanov
Dynamical Analysis Of An N−H−T Cosmological Quintessence Real Gas Model With A General Equation Of State, Emil Prodanov, Rossen Ivanov
Articles
The cosmological dynamics of a quintessence model based on real gas with general equation of state is presented within the framework of a three-dimensional dynamical system describing the time evolution of the number density, the Hubble parameter, and the temperature. Two global first integrals are found and examples for gas with virial expansion and van der Waals gas are presented. The van der Waals system is completely integrable. In addition to the unbounded trajectories, stemming from the presence of the conserved quantities, stable periodic solutions (closed orbits) also exist under certain conditions and these represent models of a cyclic Universe. …
Distribution Of Zeros Of Nondegenerate Functions On Short Cuttings Ii, Vasili Ivanovich Bernik, Natalia Viktorovna Budarina, Artyom Vadimovich Lunevich, Hugh O’Donnell
Distribution Of Zeros Of Nondegenerate Functions On Short Cuttings Ii, Vasili Ivanovich Bernik, Natalia Viktorovna Budarina, Artyom Vadimovich Lunevich, Hugh O’Donnell
Articles
No abstract provided.
Menstrual Cycle And The Temporal Discrimination Threshold, Eavan M. Mc Govern, Emer O'Connor, Ines Beiser, Laura Williams, John Butler, Brendan Quinlivan, Shruti Narasimham, Rebecca Beck, Richard B. Reilly, Sean O'Riordan, Michael Hutchinson
Menstrual Cycle And The Temporal Discrimination Threshold, Eavan M. Mc Govern, Emer O'Connor, Ines Beiser, Laura Williams, John Butler, Brendan Quinlivan, Shruti Narasimham, Rebecca Beck, Richard B. Reilly, Sean O'Riordan, Michael Hutchinson
Articles
The temporal discrimination threshold (TDT) is a proposed pre-clinical biomarker (endophenotype) for adult onset isolated focal dystonia (AOIFD). Age- and sex-related effects on temporal discrimination demonstrate that women, before the age of 40 years, have faster temporal discrimination than men but their TDTs worsen with age at almost three times the rate of men. Thus after 40 years the TDT in women is progressively worse than in men. AOIFD is an increasingly female-predominant disorder after the age of 40; it is not clear whether this age-related sexually-dimorphic difference observed for both the TDT and sex ratio at disease onset in …
Cognitive Load Reduces The Effects Of Optic Flow On Gait And 2 Electrocortical Dynamics During Treadmill Walking 3, Brenda Malcolm, John J. Foxe, John Butler, Sophie Molholm, Pierfilippo De Sanctis
Cognitive Load Reduces The Effects Of Optic Flow On Gait And 2 Electrocortical Dynamics During Treadmill Walking 3, Brenda Malcolm, John J. Foxe, John Butler, Sophie Molholm, Pierfilippo De Sanctis
Articles
While navigating complex environments the brain must continuously adapt to both external demands such as fluctuating sensory inputs, as well as internal demands, such as engagement in a cognitively demanding task. Previous studies have demonstrated changes in behavior and gait with increased sensory and cognitive load, but the underlying cortical mechanisms remain largely unknown. Here, in a Mobile Brain/Body Imaging (MoBI) approach sixteen young adults walked on a treadmill with high-density EEG while 3D motion capture tracked kinematics of the head and feet. Visual load was manipulated with the presentation of optic flow with and without continuous mediolateral perturbations. The …
Reply To "Comment On 'Cyclic Universe With An Inflationary Phase From A Cosmological Model With Real Gas Quintessence"', Rossen Ivanov, Emil Prodanov
Reply To "Comment On 'Cyclic Universe With An Inflationary Phase From A Cosmological Model With Real Gas Quintessence"', Rossen Ivanov, Emil Prodanov
Articles
No abstract provided.
Catalogue Of Extreme Wave Events In Ireland: Revised And Updated For 14 680 Bp To 2017, Laura Cooke, Emiliano Renzi, John M. Dudley, Colm Clancy, FréDéRic Dias
Catalogue Of Extreme Wave Events In Ireland: Revised And Updated For 14 680 Bp To 2017, Laura Cooke, Emiliano Renzi, John M. Dudley, Colm Clancy, FréDéRic Dias
Articles
This paper aims to extend and update the survey of extreme wave events in Ireland that was previously carried out by O’Brien et al. (2013). The original catalogue high- lighted the frequency of such events dating back as far as the turn of the last ice age and as recent as 2012. Ireland’s marine territory extends far beyond its coastline and is one of the largest seabed territories in Europe. It is therefore not surprising that extreme waves have continued to occur reg- ularly since 2012, particularly considering the severity of weather during the winters of 2013–2014 and 2015–2016. In …
Discriminants Of Polynomials In The Archimedean And Non-Archimedean Metrics, Vasili Bernick, Natalia Budarina, Hugh O'Donnell
Discriminants Of Polynomials In The Archimedean And Non-Archimedean Metrics, Vasili Bernick, Natalia Budarina, Hugh O'Donnell
Articles
An upper bound for the number of cubic polynomials which have small discriminant in terms of the Euclidean and p-adic metrics simultaneously is obtained.