Rational Type Research Articles

On a coupled fixed point theorem for a mapping satisfying a contraction of rational type in partially ordered S-metric space

In this paper, the concept of S-metric is used as a generalizion of the ordinary metric space to obtain a coupled fixed point result for a mapping satisfying a contraction of rational type in partially ordered S-metric space. Since such results has already been proved in ordinary metric space, similar procedure was followed in stating and proving our result in the setting of S-metric space. The result presented here modify and generalize the existing result of Circ et al (2012) which was stated in partially ordered metric space.

Philosophical and Methodological Foundations for Improving Digital Transformation and Implementing Artificial Intelligence

Nowadays, there is an evolving process of digital transformation and the introduction of artificial intelligence (AI) into a wide range of social systems. Usually, insufficient attention is paid to assessing the social consequences of such innovations. The underlying causes of that are related to the dominance of the technogenic model of civilization, the embodiment of which is the technocratic approach, and the use of this approach in the interests of the globalist project. In the development and implementation of digital technologies and AI, an ontological paradox arises, for overcoming which it is required to develop adequate philosophical and methodological foundations for assessing social innovations based on digital technologies. The article discusses the expediency of using three types of scientific rationality (classics, non-classics, post-non-classics) to overcome the limitations of the Western model of technogenic civilization and the use of a subjective approach corresponding to this rationality. It is fundamentally important that the three types of scientific rationality correspond to the key stages in the evolution of cybernetics and AI. The evolution of AI is analyzed from these positions and an approach is proposed to overcome the ontological paradox in digital transformations and the implementation of AI. In the context of the development of ideas on scientific rationality, the author considers the specifics of innovative models based on digital technologies and AI. The article examines the problem of the formation of an integrative field of knowledge as the ergonomics of digital transformations and AI, which will allow to take into account the rich ergonomic experience of a multi-criteria socio-humanitarian assessment of the use of computer technology and software: productivity, safety, satisfaction, and development. In the conclusion, the article considers the basic positions of the configurator, that is, of the devise for assessing innovations based on digital technologies and AI, including assessing of scientific, methodological and organizational issues and persons concerned.

How many masks do you buy? A simple dilemma task to differentiate between individual and social rationality.

Prior measures on rationality overlook the individual differences in the weight people place on social rationality versus individual rationality. The current research develops and validates an individual-collective dilemma task (ICDT) to distinguish different rationality types. It was translated from a reality that, at the beginning of the ongoing COVID-19 outbreak, a global shortage of face masks occurred because of the jumping demand for masks as a precautionary measure. The ICDT asked participants to decide how many masks to buy in front of a shortfall of masks, which facilitated coping with a hypothetical epidemic outbreak. Based on the number of masks they selected, three rationality groups emerged. Individual rationalists preferred self-interest goals to goals of social interests; social rationalists prioritized social-interest goals; balancers assigned equal weight to both goals. The ICDT showed sound test–retest reliability and criterion-related, discriminant, and convergent validity. The present research contributes to the literature on rationality assessment and offers policy-makers a valid and reliable tool to understand the distribution of rationalists among the public.Supplementary InformationThe online version contains supplementary material available at 10.1007/s12144-022-03338-x.

INFLUENCE OF AGRICULTURAL TRACTORS ON SOIL COMPACTION

Agriculture needs both wheeled and tracked tractors, as not all operations are rational to perform only wheeled machines. Before carrying out agricultural operations, it is necessary to comprehensively assess the consequences of changes in soil condition after tillage, choosing in advance a rational type of tractor and implements. When performing energy-intensive operations, it is necessary to try to use a tractor with a caterpillar engine. Agricultural enterprises need to recommend the optimal composition of the fleet depending on the type of soil, area of cultivated fields, the range of crops and solve the problem of long and efficient use of fertile land, taking into account not only costs and yields, but also negative impact on soil. As a result, productivity will increase, soil fertility will be preserved, operating costs will be reduced, and AIT productivity will increase. These considerations should be taken into account when determining the niche of tracked vehicles in the production and formation of the tractor fleet

Calculating arched supports with blocking

Relevance. Improving the stability of driftways and inclined mine workings is an essential task in underground mining. Support efficiency largely depends on the conditions of its contact with the host rocks. When building steel arch supports, much attention is therefore paid to set blocking and contact grouting. Evidence shows that the blocking is important for support stability. Whenever due attention is not paid to this problem, load from shifting rocks transfers to the middle part of capping and causes bending before the support ever reaches the yielding mode. Research objective is to increase the stability of driftways and inclined mine workings by controlling the stress-strain state of frame supports. Research object is steel arch support of driftways and inclined mine workings. Research subject is the calculation and design of steel arch support with control forces. Research task is to develop the methods for calculating frame support using the most rational types of control forces. Methods of research include an integrated research method with scientific generalization of theoretical and experimental works by domestic and foreign researchers, theoretical studies based on the methods of structural mechanics, field observations and experiments, results processing based on the methods of mathematical statistics. Results. It was established by calculations that under symmetrical load, the use of blockings with a given force value of 20 kN increases the bearing capacity of the support by 1.5 times, and under asymmetric load – by 2.3 times. The given calculation data make it possible to determine the rational parameters of support with blocking to ensure stable support for mine workings.

The emergence of affordances of artifacts as a process of knowledge accumulation (on the example of weapons)

Aim to determine the typology of weapons and to substantiate the need to assess the degree of destructive impact of the affordances of artifacts used as weapons on the surrounding objects and society as a whole. The Michael Cole's theory was used as the methodological basis of the study, which has a great applicative potential and allows you to give an object a comprehensive description. An "artifact" is a material man-made object produced in the process of creative transformation and intended for a specific purpose. The term "affordance", introduced by James Gibson, is interpreted as a "potential opportunity" for a detailed analysis of all possible options for the use of an artefact, depending on the person's current intentions. The author considers the process of active cognitive activity of the subject resulting in the invention of new functions of material objects from the standpoint of epistemological realism. The existing classification of weapons, from the point of view of the process of meaning formation, does not fully reveal all the features of its creation and functions laid down at the stages of design and production. The article presents the original typology of weapons based on the analysis of the stages of the evolution of mankind, the change in scientific representation of the world and the types of scientific rationality. The strict legislative regulation of the trade, production, acquisition, carrying and use of certain types of weapons pushes people, in cases of a threat to their life and health, to use ordinary household items as means of protection. Under these conditions, there is a need to revise existing approaches and methods for examination and evaluation of artefacts created by people that allow their use as a weapon.

Abstract 5239: Switching inhibitor class overcomes crizotinib resistance in a MET fusion-positive NSCLC with a novel acquired MET G1090A mutation

Abstract Purpose: MET fusions are oncogenic drivers of multiple cancers including non-small cell lung cancer (NSCLC). While MET fusion-positive tumors can be sensitive to MET tyrosine kinase inhibitors (TKI), to date no mechanisms of TKI resistance have been identified or characterized for MET fusion-positive disease. Experimental Design: Serial targeted genomic sequencing (MSK-IMPACT) was performed in clinical samples from a MET fusion-positive NSCLC treated with the type Ia MET TKI crizotinib. Structural modeling and in vitro kinase assays were used to characterize crizotinib resistance and to test the activity of MET inhibitors with alternative binding modes. Results: A novel MET G1090A resistance mutation was identified in a patient with a CD47-MET-rearranged NSCLC after crizotinib progression. In silico structural modeling and simulations indicated that the 2,6-dichloro-3-fluorophenyl moiety present on crizotinib directly binds to the side chain of the Y1230 residue in the activation loop of the MET wild type (WT) kinase. In the MET G1090A mutant kinase, the position of the Y1230 residue is predicted to be flipped roughly 180°. As a result, the interaction between crizotinib and Y1230 is compromised; this in turn is predicted to reduce crizotinib’s binding affinity for the mutant kinase. Similar results were obtained when MET WT and G1090A mutant kinases were modeled in complex with selective type Ib MET TKI (i.e., capmatinib, savolitinib and tepotinib). Conversely, we found that type II agents (i.e., cabozantinib and foretinib) were not predicted to interact with Y1230. Therefore, their binding affinity to the mutant MET kinase was predicted to be retained. In vitro kinase assays performed using titrations of crizotinib and capmatinib (representative type I agents) and of cabozantinib (representative type II agent) showed that all three TKI were active against the MET WT kinase (calculated IC50 of 2.5nM, 3.89nM and 1.59nM, respectively). However, the calculated IC50 for crizotinib and capmatinib were 6.04- and 48.4-fold higher than the calculated IC50 for cabozantinib against the MET G1090A mutant kinase. Consistent with the prediction of type II inhibitor activity, the patient was transitioned to cabozantinib. A marked clinical, radiographic, and metabolic response was observed. Conclusions: In MET fusion-positive cancers, the novel MET G1090A resistance mutation drives resistance to type I MET kinase inhibition. Drug binding mode switching to type II MET inhibition overcomes preclinical and clinical resistance, highlighting the need for further rational type II inhibitor development. Citation Format: Yonina R. Murciano-Goroff, Srinivasaraghavan Kannan, Jason C. Chang, Ryma Benayed, Ilya Blokhin, Natasha Rekhtman, Ann Elizabeth Sisk, Jaime Gibson, Lia Judka, Lauren Kaplanis, Madeline Merrill, Erica Sgroe, Chandra S. Verma, Alexander Drilon, Emiliano Cocco. Switching inhibitor class overcomes crizotinib resistance in a MET fusion-positive NSCLC with a novel acquired MET G1090A mutation [abstract]. In: Proceedings of the American Association for Cancer Research Annual Meeting 2022; 2022 Apr 8-13. Philadelphia (PA): AACR; Cancer Res 2022;82(12_Suppl):Abstract nr 5239.

ВПЛИВ СТЕПЕНІ ДИСКРЕТИЗАЦІЇ ТЕХНІЧНОГО ОБ’ЄКТУ НА РЕЗУЛЬТАТИ ПРОГНОЗУ ЗА МГЕ

A significant difference between soils and homogeneous elastic bodies is that under action External loads residual deformations are always concomitant elastic, even at low loads. The sum of residual and elastic deformation is the total deformation of the soil base. The simultaneous presence in the soil of zones operating in both elastic and plastic zones requires the involvement of the theory of elasticity and plasticity to model its behavior [1-4]. It is known that the solution of the mixed problem of the theory of elasticity and the theory of soil plasticity brings the results of sedimentation calculations much closer to reality. The current trend towards automated calculation methods has dramatically changed the priorities towards the need to develop more reliable mathematical models of nonlinearly deformed soil massifs composed of layers with different properties. Urban planning and modern industry require the construction of responsible structures on increasingly complex engineering and geological conditions for which the rational type of foundations are piles. Widespread use of pile foundations requires the development of reliable methods for their calculation in order to obtain reliable design solutions. Therefore, the current stage of development of soil mechanics is characterized by an active transition to new computational models that more fully reflect the nonlinearity of deformation and rheological properties of soils and these issues remain an urgent problem today. The paper uses the numerical method of boundary elements, which emerged as a result of further theoretical development of a wide class of numerical methods, united under the common name of finite element theory. It is based on the existence of a fundamental solution of the boundary value problem, which corresponds to the source function given in the form of the Dirac delta function. The availability of a fundamental solution is very important from a practical point of view for the numerical implementation of the IHE task. A fundamental solution is a partial solution of the Laplace equation for a semi-infinite domain for a potential value of one given at some point. This type of solution is widely used in boundary value problems and is a Green's function or influence function. In the presence of a fundamental solution, finite elements are used to approximate the boundary of the domain, and the apparatus of classical integral equations is applied to the inner part of the domain/

Effect of feed on the milk protein and fat composition

Abstract. Feed is considered the most important factor affecting the composition of cow's milk of which the quality can be evaluated, essentially, through two parameters, the fat and protein content, because of their industrial interest. This study aims to evaluate the impact of seven different rations (R1-R7) on the protein and fat content of Prim’holstein cow milk in a cattle farm in Algiers. The results showed that the dry matter (DM) content of forages and concentrate was 72.74% (62.94% - 81.49%) and 27.25% (18.51% - 37.06%), respectively. The forage unit milk (FUM) and the digestible nitrogen matter (DNM) contents of forage were 60.50% (51.37% - 72.08%) and 61.15% (46.73% - 74.63%), respectively. In concentrate, the FUM and DNM contents were 39.50% (24.85 - 51.5%) and 38.85% (25.37 - 52.39%), respectively (Table 3). The forages showed significantly higher DM, FUM and DNM contents than the concentrate (p<0.0001). The type of ration showed a highly significant effect on the quantity of milk produced per day, protein content and defatted dry matter. However, no significant influence was observed for the fat content. The highest milk production (ranging from 17.31 to 19.64 liters/day) and the highest defatted dry matter (87.03 and 87.92 g/l) were recorded in cows which received rations R2, R3, R4 and R5 (p<0.0001). The highest protein content values (32.87 and 33.20 g/l) were observed in the milk of cows that were fed with rations R2, R3 and R4. The lowest levels were observed for rations R6 (31.80 g/l) and R7 (31.22 g/l) (p<0.0001). Protein to fat content ratio ranged from 0.79 to 0.84 and fat to protein content ratio ranged from 1.19 to 1.27. Good management of the diet and feeding practices of the dairy cows allow having an adequate protein and fat content in the milk. A diet composed of forages with an adequate supplementation in concentrate leads to the optimal results. Further studies are important to evaluate the effect of the physical form of the diet on the physicochemical quality of the milk.

Organic Farming: Is a Metamorphosis of Modern Agricultural Imperialism or a Postmodern Agricultural Model?

The implementation of organic farming programs in Indonesia involves various actors and various interests in it. The relationship between actors and their interests has positioned organic agriculture at the intersection between modern agricultural camouflage and the antithesis of modern agriculture (postmodern agriculture). How did this happen? so this research is very important to provide a complete picture in describing the involvement of actors and power relations as one of the key factors that will determine theformulation of policies for developing organic agriculture in the future. This research used a qualitative method with a case study approach. Data collection techniques were carried out by in-depth interviews, observations, and document studies. The research data were analyzed concerning the Miles and Huberman (2002) framework, which consisted of stages of data reduction, analysis formulation, and concluding. The results showed that there were four typologies of actors, namely, type A actors oriented to spiritual values; actor type B oriented to moral values; type C actor is oriented to rational values and type D actor is oriented to political/powervalues. The struggle between actors is dominated by driving actors (advanced farmers or champions, state apparatus, capitalists) who have stronger knowledge power. The rhetoric and images narrated by the driving actors then become tools for domination to seize the rights of other actors with the interests and powers attached to each actor. The implementation of organic agriculture which is full of power interests puts organic farming programs in Indonesia trapped in a market trap and a poor meaning reduction of moral values, human values, spiritual values, and ecological values.

Rationality and Higher-order Awareness

Abstract It is argued that higher-order awareness is central to one type of everyday rationality. The author starts by specifying the target notion of rationality, contrasting it with other useful notions in the neighbourhood. It is then shown that the target notion relies on first-person awareness of the unfolding of cognition. This is used to explain the kernel of truth in epistemic conservatism, the structure of defeasibility, and the root motive behind the widely accepted distinction between rational inference and trivial entailment.

Defense Mechanism as a Strategy to Overcome Jacob's Anxiety in William Landay's Defending Jacob

Defense mechanism is a strategy or effort developed by the ego to dispel unpleasant feelings caused by anxiety so that unpleasant feelings and experiences feel better. The purpose of the study are to reveal the type of anxiety experienced by Jacob Barber in William Landay's Defending Jacob and discover how defense mechanisms work to overcome this anxiety. The method used in this study is qualitative by applying Sigmund Freud's anxiety and defense mechanism theory in a psychoanalytic approach. The data in this study are in the form of phrases, sentences, and dialogues contained in the novel Defending Jacob written by William Landay. The results of this study indicate that there are three types of anxiety experienced by Jacob Barber. They are neurotic, moral, and realistic anxiety. In order to overcome these anxiety, Jacob Barber uses five types of defense mechanisms, namely denial, projection, displacement, rationalization, and reaction formation. The types of defense mechanisms that are most often used to overcome the anxiety that arise in Jacob Barber are projection and displacement.

A multiplicative approach to optimize the consumer properties of quick-frozen semifinished products from cultivated champignons

It is possible to maximise the consumer properties of grown fruit and vegetable products, significantly reduce their losses during the life cycle, and satisfy the public demand for products ready for consumption by using different preservation methods, particularly freezing. It has been found that the freezing of mushrooms without pretreatment does not provide a high-quality finished product. It justifies the expediency of mushroom pretreatment before freezing to stabilize their consumer properties. The inhibition effect of high temperatures on the oxidoreductase activity has been confirmed, ensuring the high preservation of cultivated champignons' natural color and consistency. A quasimetric assessment of the quality of quick-frozen cultivated mushrooms was performed, and the optimal heat treatment parameters were determined. Before freezing, blanched mushrooms' efficiency with polysaccharides has been scientifically proved. Rational concentrations and types of polysaccharides for mushroom processing have been determined. It has been established that blanching champignons in 0.1% citric acid solution followed by xanthan gum (0.2%), guar gum (0.1%), and lamidan (0.1%) processing ensure stability of consumer properties of quick-frozen semifinished products made of cultured champignons. After defrosting, they have an attractive appearance, natural light brown colour, elastic consistency, well-expressed mushroom flavour, and harmonious taste.

Representation homology of simply connected spaces

Let G $G$ be an affine algebraic group defined over a field k $k$ of characteristic 0. We study the derived moduli space of G $G$ -local systems on a pointed connected CW complex X $X$ trivialized at the basepoint of X $X$ . This derived moduli space is represented by an affine DG scheme R Loc G ( X , * ) $ \bm{\mathrm{R}}\mathrm{Loc}_G(X,\ast )$ : we call the (co)homology of the structure sheaf of R Loc G ( X , * ) $ \bm{\mathrm{R}}\mathrm{Loc}_G(X,\ast )$ the representation homology of X $X$ in G $G$ and denote it by HR * ( X , G ) $ \mathrm{HR}_\ast (X,G)$ . The 0-dimensional homology, HR 0 ( X , G ) $ \mathrm{HR}_0(X,G)$ , is isomorphic to the coordinate ring of the G $G$ -representation variety Rep G [ π 1 ( X ) ] $ {\rm {Rep}}_G[\pi _1(X)]$ of the fundamental group of X $X$ — a well-known algebro-geometric invariant that plays a role in many areas of topology. The higher representation homology is much less studied. In particular, when X $X$ is simply connected, HR 0 ( X , G ) $ \mathrm{HR}_0(X,G)$ is trivial but HR ∗ ( X , G ) $ \mathrm{HR}_*(X,G)$ is still an interesting rational invariant of X $X$ that depends on the Lie algebra of G $G$ . In this paper, we use Quillen's rational homotopy theory to compute the representation homology of an arbitrary simply connected space (of finite rational type) in terms of its Lie and Sullivan algebraic models. When G $G$ is reductive, we also compute HR * ( X , G ) G $ \mathrm{HR}_\ast (X,G)^G$ , the G $G$ -invariant part of representation homology, and study the question when HR * ( X , G ) G $ \mathrm{HR}_\ast (X,G)^G$ is free of locally finite type as a graded commutative algebra. This question turns out to be related to the so-called Strong Macdonald Conjecture, a celebrated result in representation theory proposed (as a conjecture) by Feigin and Hanlon in the 1980s and proved by Fishel, Grojnowski and Teleman in 2008. Reformulating the Strong Macdonald Conjecture in topological terms, we give a simple characterization of spaces X $X$ for which HR * ( X , G ) G $ \mathrm{HR}_\ast (X,G)^G$ is a graded symmetric algebra for any complex reductive group G $G$ .

Voters’ wishful thinking in an unprecedented event of three national elections repeated within one year: fast thinking, bias, high emotions and potential rationality

Wishful thinking (WT) of Israeli voters was measured in the unprecedented event of three failing national elections repeated within one year. WT is considered as Type 1 fast/intuitive thinking leading to bias. A novel method for measuring WT – including relevant campaign information and distinguishing between “WT for self” and “WT for others” – was introduced. WT components of voters in leading and trailing camps were compared across the three elections to examine whether patterns would be consistent or haphazard. Despite the presumed uncontrolled nature of WT, the patterns were not haphazard but rather consistent. We also tried to debias WT by applying a novel variation of incentive intervention to shift respondents from fast thinking to slow, rational Type 2 thinking. Unlike past studies, the method was extremely effective in debiasing WT and leading to realistic predictions. However, this was true only for self-WT and not for WT for others.

ANALISIS KARAKTERISTIK KECERDASAN VISUAL SPASIAL SISWA DALAM MENYELESAIKAN SOAL PISA KONTEN SHAPE AND SPACE DITINJAU DARI TIPE KEPRIBADIAN MENURUT DAVID KEIRSEY

This study aims to describe students' spatial-visual ability in solving PISA questions in shape and space content based on David Keirsey's personality type are guardian, artisan, idealist, and rational. This type of research used in this research is descriptive qualitative research. Subjects in the study were eight students from Class XI MIPA 1 SMA Negeri 7 Kediri consisting of two students from each of the guardian, artisan, idealist, and rational personality type. The data collection methods used were questionnaires, tests, and interviews. The instruments used in this study were MBTI questionnaires, shape and space content PISA test questions, and interview guidelines. The results showed that the achievement of the characteristics of the eight spatial-visual abilities of the subjects differed. Students with guardian personality are able to fulfill two characteristics of visual-spatial intelligence consisting of pattern search and conceptualization, but unable to fulfill the characteristics of problem-solving and imagining. Students with artisal personality are able to fulfill two characteristics of visual-spatial intelligence which consist of pattern searching and imagining. Students with idealist personality are able to fulfill the three characteristics of visual spatial intelligence which consist of pattern searching, conceptualizing, and imagining. Students with rational personality are able to fulfill all the characteristics of visual abilities consisting of pattern search, conceptualization, problem solving, and complete imagination in solving shape and space content PISA questions. This can be seen from the results of solving the questions given and interviews conducted on the research subjects.

Positive weights and self-maps

Spaces with positive weights are those whose rational homotopy type admits a large family of “rescaling” automorphisms. We show that finite complexes with positive weights have many genuine self-maps. We also fix the proofs of some previous related results.

The effects of thyme essential oil and enzyme supplementation to corn or wheat based diets on performance, carcass traits and blood metabolites in broilers

This experiment was conducted to evaluate the effects of thyme essential oil and enzyme supplementation to corn/wheat based diets on performance, carcass traits and blood metabolites in broilers. This experiment was carried out with 432 Ross–308 broilers as factorial arrangement with 36 unites (12 birds per each replicate) in a completely randomized design from 1 up to 42 days. Result’s showed that basic ration type and meal type have statistical effects on performance (P<0.05). So that the using of wheat increased feed intake and FCR, and using soybean increased feed intake and weight gain and improved FCR (P<0.05). Meat parameters and blood parameters were not affected by the experimental treatments (P>0.05). Use of enzyme supplement or thyme essential oil in treatments containing wheat is recommended, because it can improve broilers performance parameters.

The Historical Space-Time Continuum as an Anthropological Phenomenon

Introduction. The problem of human being as a subject of the historical space-time continuum is actualized by social transformations and the change of types of rationality. The anthropological nature of space-time determines the interest in reflection on human being as a historical individual. We could note an increased interest in spatial and temporal problems in Russian philosophical thought in the realities of the 20th century. The perception of historical time in its daily eventfulness brings us closer to understanding the fate of society in this period of Russian history that cannot be unambiguously assessed.Methodology and sources. The author relied on the provisions of philosophical anthropology about the human dimension of historical time and space. The initial basis of the research was the provisions of the author's concept of the unity of a human being and the space-time continuum. The anthropological content of historical space-time analytics predetermined the use of systemic, culturological and axiological approaches. The system approach has determined the application of source studies, phenomenological and hermeneutic analysis of the studied phenomena.Results and discussion. The importance of anthropocentrism for understanding historical individuality is substantiated. The author made an attempt to overcome the extremes of the anthropocentric and progressive models of the historical process on the basis of the unity of anthropocentrism, cultural centrism and sociocentrism. History is revealed as the time and space of self-realization of its subjects. The understanding of history is derived from a person's ability to experience and organize events. Also in the article is stated the necessity of incorporation of personal time and private space into the historical process as its constructs. It is shown that the knowledge of history is the result of the identification of I and We.Conclusion. The author reveals the thesis about human being as a historical personality. The anthropological nature of historical space-time determines the meanings, contributes to the ordering of everyday events by the subjects of history, provides an opportunity to determine the vector of cognition of history.

An efficient variable stepsize rational method for stiff, singular and singularly perturbed problems

In this article, a new iterative method of the rational type having fifth-order of accuracy is proposed to solve initial value problems. The method is self-starting, stable, consistent, and convergent, whereas local truncation error analysis has also been discussed. Furthermore, the method has been analyzed with a variable stepsize approach that increases performance while taking fewer steps with acceptable local errors. The method is also tested against some existing fifth-order methods having rational structure. The proposed one outperforms concerning maximum absolute error, final absolute error, average error, and norm, while CPU time computed in seconds is comparable. Furthermore, stiff, singular, and singularly perturbed problems for single and system of differential equations chosen for simulations yielded minor errors when solved with the new rational method.