Non-constant Terms Research Articles

Nursing terminology for the care of people with respiratory diseases and Covid-19.

To build a specialized nursing terminology for the care of people with respiratory diseases and Covid-19 or who have respiratory diseases after Covid-19, based on ICNP®. Methodological study developed in two stages: (1) identification of the relevant concepts for the health priority chosen from the literature; (2) cross-mapping of the identified concepts with the concepts contained in ICNP® version 2019/2020. 9460 terms were extracted from the literature, of which 4065 terms were excluded because they were not related to the object of study and 5395 were submitted to the mapping technique, resulting in 290 constant terms in the ICNP® and 5134 non-constant terms. The constant terms were classified into the following axes: 120 in the Focus axis, 13 in Judgment, 48 in Action, 23 in Location, 38 in Means, eight in Time and one in Client. In addition, 36 nursing diagnoses/outcomes and three nursing interventions were mapped. The terminology will support the quality of care provided by the nursing team and the manual and electronic recording of patient data.

Terminologia especializada de enfermagem para pacientes renais crônicos em hemodiálise

Abstract Objectives to identify the terms that represent the human needs affected in chronic renal failure patients on hemodialysis; and to cross-map these terms with those already existing in the International Classification for Nursing Practice. Method a descriptive study with a quantitative approach, conducted between February and December 2021, a period in which an integrative literature review was prepared to survey the terms that represent the human needs affected in chronic renal failure patients on hemodialysis; then, we proceeded to the cross-mapping of these terms identified with the ICNP® terms 2019/2020 version. Results 1,946 terms were identified extracted from the articles that were part of the integrative review. After the normalization and standardization process, 689 terms were excluded, resulting in the subsequent composition of 1,257 terms, which were mapped with the terms of the International Classification for Nursing Practice 2019/2020 version. In the end, the term bank consisted of 626 constant terms and 631 non-constant terms. Conclusion and implications for practice relevant terms were identified for nursing practice in the care of chronic kidney disease patients on hemodialysis. The terms will help nurses to promote a systematized care, using an evidence-based practice.

TERMINOLOGIA ESPECIALIZADA DE ENFERMAGEM PARA O CUIDADO COM CRIANÇAS E ADOLESCENTES COM EPIDERMÓLISE BOLHOSA

ABSTRACT Objective: To build a specialized nursing terminology for the care of children and adolescents with epidermolysis bullosa. Method: Methodological, documentary study, built between the months of January to December 2021, in partnership with the ICNP® Center, in João Pessoa - Brazil. Data were analyzed using the PorOnto tool and the following theoretical methodological references: the International Classification for Nursing Practice 2019/2020, and human mapping following ISO/TR 12300:2016 and the term validation method. Results: The validation process with judges resulted in 480 terms for children and adolescents with epidermolysis bullosa, which were submitted to mapping, resulting in 207 constant ICNP® terms and 273 non-constant ICNP® terms. Conclusion: a higher number of non-constant terms is evidenced, which can be justified by the peculiarity of the disease and specific care with children and adolescents. The construction of terminology strengthens the development of diagnoses, outcomes, and nursing intervention.

Embedding the Dynamics of Forced Nonlinear Systems in Multistable Memristor Circuits

A well-known feature of memristors is that they makes the circuit dynamics much richer than that generated by classical <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$RLC$ </tex-math></inline-formula> circuits containing nonlinear resistors. In the case of circuits with ideal memristors, such a multistability property, i.e., the coexistence of many different attractors for a fixed set of parameters, is connected to the fact that the state space is composed of a continuum of invariant manifolds where either convergent or oscillatory and more complex behaviors can be displayed. In this paper we investigate the possibility of designing memristor circuits where known attractors are embedded into the invariant manifolds. We consider a class of forced nonlinear systems containing several systems which are known to display complex dynamics, and we investigate under which conditions the dynamics of any given system of the class can be reproduced by a circuit composed of a two-terminal (one port) element connected to a flux-controlled memristor. It is shown that an input-less circuit is capable to replicate the system attractors generated by varying the constant forcing input, once the parameters of the two-terminal element and the memristor nonlinear characteristic are suitably selected. Indeed, there is a one-one correspondence between the dynamics generated by the nonlinear system for a constant value of the input and that displayed on one of the invariant manifolds of the input-less memristor circuit. Some extensions concerning the case of non-constant forcing terms and the use of charge-controlled memristors are also provided. The results are illustrated via FitzHugh-Nagumo model and Duffing oscillator.

P-adic Measures for Reciprocals of L-functions of Totally Real Number Fields

We generalize the work of Gelbart, Miller, Pantchichkine, and Shahidi on constructing p-adic measures to the case of totally real fields K. This measure is the Mellin transform of the reciprocal of the p-adic L-function which interpolates the special values at negative integers of the Hecke L-function of K. To define this measure as a distribution, we study the non-constant terms in the Fourier expansion of a particular Eisenstein series of the Hilbert modular group of K. Proving the distribution is a measure requires studying the structure of the Iwasawa algebra.

Multicoated elastic inhomogeneities of arbitrary shape neutral to multiple fields

We rigorously establish the interesting result that in anti-plane elasticity an elastic epitrochoidal inhomogeneity can be made neutral to multiple uniform fields applied in the matrix via the insertion of two intermediate coatings. Using a two-term conformal mapping function, the simply connected domain occupied by the epitrochoidal inhomogeneity and its surrounding inner and outer coatings is mapped onto the interior of the unit circle in the image plane. The mismatch parameters are determined in an analytical manner by solving a set of two non-linear equations. An elastic inhomogeneity of arbitrary shape can be made neutral to multiple fields through the insertion of N coatings when the proposed mapping function for the simply connected domain occupied by the multicoated inhomogeneity is described in terms of a polynomial of finite degree containing N non-constant terms. In this case, the mismatch parameters are determined by iteratively solving a set of N non-linear equations.

Specialized nursing terminology for the prevention of falls in the elderly in primary care.

to build a specialized nursing terminology for the prevention of falls in the elderly in primary healthcare, based on the ICNP®. this is a methodological study developed in two stages: (1) identification of relevant terms for the prevention of falls in the elderly in official documents; (2) cross mapping of the identified terms with the terms contained in the ICNP® Seven-Axis Model, version 2019/2020. a total of 13,408 terms was extracted from official documents, which were submitted to manual screening, resulting in the inclusion of 391 relevant terms. Cross mapping revealed 283 constant terms (67.8% with level of equivalence 1; 32.2% with level of equivalence 2) and 108 non-constant terms (88.9% with level of equivalence 5; 6.5% with level of equivalence 4; 4.6% with level of equivalence 3). In the set of constant terms, the terms of the Focus (43.1%), Action (26.1%), and Means (13.1%) axes stood out; in non-constant terms there was a predominance of the Focus (38.0%), Means (23.1%), and Judgment (15.7%) axes. we obtained a specialized nursing terminology that will support the development of nursing diagnoses, outcomes, and interventions to contribute to the prevention of falls in the elderly in primary healthcare.

Term database for nursing practice in the context of coronavirus (COVID-19) infections.

to build a term database relevant to nursing practice in the context of COVID-19 infections. this is a methodological, documentary study, carried out from March to June 2020 at ICNP®/ Universidade Federal da Paraíba center, considered a reference for research and dissemination of ICNP® in Brazil. The findings were collected in databases and analyzed using the PorOnto tool, the consensus technique and the mapping of terms with ICNP®, version 2019/2020. 1,134 relevant terms were identified in literature. When submitted to the mapping technique with the terms of ICNP® Seven Axis Model, it resulted in 531 constant terms and 603 nonconstant terms in this classification. It is proven that nursing practice terms, even in a specific context, are present in the literature and are representative in ICNP®, which will enable the future development of a terminological subset in the context of coronavirus infections.

Bernoulli decomposition and arithmetical independence between sequences

In this paper, we study the set $$\begin{eqnarray}A=\{p(n)+2^{n}d~\text{mod}~1:n\geq 1\}\subset [0,1],\end{eqnarray}$$ where $p$ is a polynomial with at least one irrational coefficient on non-constant terms, $d$ is any real number and, for $a\in [0,\infty )$, $a~\text{mod}~1$ is the fractional part of $a$. With the help of a method recently introduced by Wu, we show that the closure of $A$ must have full Hausdorff dimension.

SPECIALIZED NURSING TERMINOLOGY FOR THE CLINICAL PRACTICE DIRECTED AT COVID-19

ABSTRACT Objective: to build a specialized terminology for the clinical nursing practice for people with COVID-19, based on the Seven Axis Model of the International Classification for Nursing Practice. Methods: a descriptive and documentary study, carried out in April 2020. The terms were extracted from official documents of the Ministry of Health. The data were treated through terminological analysis, that is, the terms were organized through a classification system, which, in this research, was represented by the Seven Axis Model, version 2019. Also in the delimitation of the thematic field of the terminological analysis, the method of cross-mapping was chosen so that the terms resulting from the normalization process, derived from the literature, were cross-referenced with the terms of the International Classification for Nursing Practice in its seven axes. Results: after the normalization process, 472 useful terms were found. These were submitted to cross-mapping, totaling 263 constant terms and 211 non-constant terms. Conclusion: the study allowed identifying terms in the literature, which can be used by nurses in the care of people affected by COVID-19 and will support the stages following the construction of a terminological subset for information and communication to the Nursing practice.

Explicit bounds for composite lacunary polynomials

Let $f, g, h\in \mathbb{C}\left[x\right]$ be non-constant complex polynomials satisfying $f(x)=g(h(x))$ and let $f$ be lacunary in the sense that it has at most $l$ non-constant terms. Zannier proved that there exists a function $B_1(l)$ on $\mathbb{N}$, depending only on $l$ and with the property that $h(x)$ can be written as the ratio of two polynomials having each at most $B_1(l)$ terms. Here, we give explicit estimates for this function or, more precicely, we prove that one may take for instance \[B_1(l)=(4l)^{(2l)^{(3l)^{l+1}}}.\] Moreover, in the case $l=2$, a better result is obtained using the same strategy.

Useful terms for nursing practice in the care of people with leprosy.

To identify useful terms for nursing practice in the care of people with leprosy and to cross-mapp the identified terms with the ICNP® terms. A descriptive, documentary study that included publications of the Ministry of Health in the area of leprosy launched between 2002 and 2017. The terms identified in these publications were extracted and underwent a normalization proces and then, were cross-mapped with terms of the ICNP® version 2015 for the identification of constant and non-constant terms in this terminology. In total, were extracted 1,177 terms, of which 26.76% were equal, 4.59% similar, 4.26% were broader, 19.62% were more restricted, and 44.77% were totally different from the ICNP® terms. The large number of terms identified and not included in the ICNP® show the need for its expansion in order to contemplate the phenomena of clinical practice more effectively and allow better representation of nursing care for people with leprosy.

A nonlinearity lagging method for non-steady diffusion equations with nonlinear convection terms

We analyze an iterative procedure for solving nonlinear algebraic systems arising from the discretization of nonlinear, non-steady reaction-convection-diffusion equations with non-constant (and, in general, nonlinear) velocity terms. The basic idea underlying the procedure consists in lagging the diffusion and the velocity terms of the discretized system, which is thus partly linearized. After analyzing the discretized system and proving some results on the monotonicity of the operators and on the uniqueness of the solution, we prove sufficient conditions that ensure the convergence of this lagged method. We also describe the inner iteration and show how the weakly nonlinear systems arising at each lagged iteration can be solved efficiently. Finally, we analyze numerically the entire solution process by several numerical experiments.

Actual dry-bulb temperature and equivalent dry-bulb temperature methods for wavy fin-and-tube heat exchangers with dehumidification

This article presents two mathematical models for estimating the performances of finned tube heat exchangers with wavy configuration under partly and fully wet surface conditions. The actual dry bulb temperature method is the first one and the other is the method of equivalent dry bulb temperature. For the first one, the actual dry bulb temperature method that was firstly presented by our research team in 2015 is more uncomplicated than the well-known enthalpy potential method and is also easier than the equivalent dry bulb temperature method. Moreover, it has never been applicable to the finned tube heat exchanger. For accuracy, the finned tube heat exchangers are distinguished into teeny segments and every segments are separated by conditions of surface into three groups: partially wet segments, fully wet segments, fully dry segments. This procedure is called the finite circular fin method that was firstly presented by our research in 2007. From the results, the heat and mass transfer characteristics estimated by the method of equivalent dry bulb temperature are greater than those estimated by the method of actual dry bulb temperature. This is the influence of the non-constant terms in both methods. Moreover, the correlations for the conditions of party and fully wet surface are revealed for predicting the heat and mass transfer coefficients of the finned tube heat exchanger with wavy configuration. The users can apply our presented models with the proposed correlation for predicting the heat and mass transfer performances of finned tube heat exchangers with wavy configuration under the conditions of fully and partly wet surface.

Banco de termos para a prática clínica de enfermagem com idosos comunitários

Pesquisa metodológica que objetivou construir um banco de termos para a prática clínica de enfermagem com idosos acompanhados pelas equipes da Estratégia Saúde da Família, com base em documentos oficiais sobre idosos publicados no Brasil, e na Classificação Internacional para a Prática de Enfermagem (CIPE®), e validá-lo com enfermeiros especialistas da área. Foi desenvolvida no período de 2013 a 2014, baseada em análise documental, identificação, extração, normalização, validação e mapeamento cruzado de termos considerados relevantes para a prática clínica. Identificaram-se 332 termos, que foram submetidos ao processo de mapeamento cruzado, o que resultou em 271 constantes e 61 não constantes na CIPE® versão 2013. Espera-se que o uso desses termos possibilite a unificação da linguagem profissional do enfermeiro e a implementação da sistematização da assistência de enfermagem nesse nível de atenção.

Generalized Component Mode Synthesis for the Spatial Motion of Flexible Bodies With Large Rotations About One Axis1

In industrial practice, the floating frame of reference formulation (FFRF)—often combined with the component mode synthesis (CMS) in order to reduce the number of flexible degrees-of-freedom—is the common approach to describe arbitrarily shaped bodies in flexible multibody systems. Owed to the relative formulation of the flexible deformation with respect to the reference frame, the equations of motion show state-dependent nonconstant inertia terms. Such relative description, however, comes along with considerable numerical costs, since both the mass matrix and gyroscopic forces, i.e., the quadratic velocity vector, need to be evaluated in every integration step. The state dependency of the inertia terms can be avoided by employing an alternative formulation based on the mode shapes as in the classical CMS approach. In this approach, which is referred to as generalized component mode synthesis (GCMS), the total (absolute) displacements are approximated directly. Consequently, the mass matrix is constant, no quadratic velocity vector appears, and the stiffness matrix is a corotated but otherwise constant matrix. In order to represent the same flexible deformation as in the classical FFRF-based CMS, however, a comparatively large number of degrees-of-freedom is required. The approach described in the present paper makes use of the fact that a majority of components in technical systems are constrained to motions showing large rotations only about a single spatially fixed axis. For this reason, the GCMS is adapted for multibody systems that are subjected to small flexible deformations and undergo a rigid body motion showing large translations, large rotations about one axis, but small rotations otherwise. Thereby, the number of shape functions representing the flexible deformation is reduced, which further increases numerical efficiency compared to the original GCMS formulation for arbitrary rotations.

Terms of international classification for Nursing Practice in motor and physical rehabilitation

To validate terms of nursing language especially for physical-motor rehabilitation and map them to the terms of ICNP(®) 2.0. A methodology research based on document analysis, with collection and analysis of terms from 1,425 records. 825 terms were obtained after the methodological procedure, of which 226 had still not been included in the ICNP(®) 2.0. These terms were distributed as follows: 47 on the Focus axis; 15 on the Judgment axis; 31 on the Action axis; 25 on the Location axis; 102 on the Means axis; three on the Time axis; and three on the Client axis. All non-constant terms in ICNP(®) have been validated by experts, having reached an agreement index ≥0.80. The ICNP(®) is applicable and used in nursing care for physical-motor rehabilitation.

Term base for nursing practices with elderly women with HIV/AIDS

The aim of this study was to create a term base for nursing practices with elderly women with HIV/AIDS. This documental descriptive research was conducted at the Universidade Federal de Paraíba, from August 2012 to July 2013, based on a list of terms from the Integrated Plan to Combat the Feminization of AIDS and other STDs. These terms were cross-mapped with those of the International Classification for Nursing Practices 2011 (CIPEr 2011) and use of these terms in nursing practices was confirmed with the help of 15 participants. The base comprised 106 constant terms and 69 non-constant terms in the CIPEr 2011. Results revealed the need to reconsider nursing care for elderly women with HIV/AIDS in light of epidemiological changes in relation to aging and feminization of the disease. The term base will support the construction of more appropriate wording for nursing diagnoses, results and interventions for elderly women with HIV/AIDS.

Matrix model for deconfinement in aSU(2)gauge theory in2+1dimensions

We use matrix models to characterize deconfinement at a nonzero temperature T for an SU(2) gauge theory in three spacetime dimensions. At one loop order, the potential for a constant vector potential A0 is ~T^3 times a trilogarithm function of A0/T. In addition, we add various nonperturbative terms to model deconfinement. The parameters of the model are adjusted by fitting the lattice results for the pressure. The nonperturbative terms are dominated by a constant term ~T^2Td, where Td is the temperature for deconfinement. Besides this constant, we add terms which are nontrivial functions of A0/T, both ~T^2Td and ~TTd^2. There is only a mild sensitivity to the details of these nonconstant terms. Overall we find a good agreement with the lattice results. For the pressure, the conformal anomaly, and the Polyakov loop the nonconstant terms are relevant only in a narrow region below ~1.2Td. We also compute the 't Hooft loop, and find that the details of the nonconstant terms enter in a much wider region, up to ~4Td.

A Generalized Nonlinear Sum-Difference Inequality of Product Form

We establish a generalized nonlinear discrete inequality of product form, which includes both nonconstant terms outside the sums and composite functions of nonlinear function and unknown function without assumption of monotonicity. Upper bound estimations of unknown functions are given by technique of change of variable, amplification method, difference and summation, inverse function, and the dialectical relationship between constants and variables. Using our result we can solve both the discrete inequality in Pachpatte (1995). Our result can be used as tools in the study of difference equations of product form.