Separate Cases Research Articles

Waste-to-Taste: Transforming Wet Byproducts of the Food Industry into New Nutritious Foods.

Food and beverage production generates enormous amounts of spent residues in the form of pomaces, pulps, grains, skins, seeds, etc. Although these sidestreams remain nutritious, their conversion to foods can be complicated by issues of digestibility and processing, particularly when the residues are wet and therefore highly susceptible to microbial degradation. Ideally, these sidestreams could be stabilized and then re-circulated into food, instead of being diverted to waste, animal feed, or biofuels. Indeed, the end-of-life of our food crops is increasingly important to consider in the context of circularity, ensuring that land, water, and chemical inputs to agriculture are sustainable. In the context of wet byproducts from the food industry, we discuss two separate case studies that look at how to valorize and extend the longevity of nutritionally-rich but underutilized sidestreams. The first study examines the fermentation of okara into an edible tempeh-like cake, while the second investigates ProSeed's approach to drying and valorizing brewer's spent grain. We conclude with some words on the nuance and challenges involved in saving from waste the highly perishable but nutritious side products of current food and beverage production.

Законодавчо-правове регулювання платформної зайнятості у контексті соціальної стійкості держави

The article considers the issue of maintaining the state social resilience through the prism of the development of digital platforms and the emergence of the digital labor market as a new reality for the information-network economy. Attention is focused on the fact that the transformation of traditional models of social and labor relations prompts the search for ways and means of the regulation of non-standard forms of employment, in particular platform employment related to work on digital (online-, Internet-) platforms. The authors carry out an analytical assessment of international approaches to regulating the activities of digital platforms and recommendations for improving working conditions for platform employment. Shown various legal peculiarities and the variety of national practices of labor regulation in the platform economy in different countries. The article presents variants of terminology on the subject, and the most common areas of application of legislation and regulations regarding digital platforms and employees of such platforms in the ILO’s member states. Revealed the directions of domestic legislative and legal regulation of certain forms of non-standard employment, such as remote work, work with the use of flexible working time, labor relations with non-fixed working time. It is noted that a separate case of such forms of non-standard employment can be considered platform employment, the specifics of whose regulation are not taken into account in Ukraine’s legislation. The authors summarize the recommendations on the regulation of platform economy and platform employment based on modern international approaches and practices. The main legally regulated aspects of platform employment are identified, being among the most important of them the issues of concluding labor contracts, extending social protection standards to platform employees, transparency in the use of algorithms, and guaranteeing the right to appeal decisions made by artificial intelligence. It is emphasized that special attention should be paid to the creation of a tripartite committee in Ukraine for the preparation by the parties of national social partnership of consolidated approaches to the regulation of platform employment. Proposed various guidelines for legal regulation of platform employment, which would minimize its precarization potential and contribute to social resilience in post-war Ukraine.

Theory of Gas Purification by Liquid Absorber in Small Rotating Channels with Application to the Patented Rotational Absorber Device

A new design for absorbing vapour-phase impurities from gases is presented. It consists of small channels packed in a rotating vertical cylinder. Gas flows through the channels adjacent to a thin film of absorber liquid. The liquid film is pressed to the radially outward side of each channel by the centrifugal force and flows downwards by gravity. Formulae are presented which describe the concentration distributions of gaseous impurities subject to absorption in gas and liquid. Results include expressions for laminar and turbulent diffusion coefficients to be used in mass balance equations. The role of rotation is quantified including the effect on wavy motion and enhanced diffusion in the liquid layer. Application in design is indicated for the case of separation of the greenhouse gas CO2 from flue gases of fossil fuel combustion processes. At other equal dimensions, the height of the Rotational Absorber Device is calculated to be 25 times shorter than the enormous heights of conventional tray and packed columns.

A Holistic Framework to Accelerate Implementation of Circular Economy in Mega-Scale Construction Projects

Circular economy continues to gain momentum in the field of construction. Notwithstanding the rapid attention this concept is gathering within the construction industry, a clear framework to facilitate its implementation in Saudi Arabia has yet to be developed. This paper aims to tackle this knowledge gap by proposing a framework for CE implementation in construction mega-projects. This study builds upon past research by the authors, where 12 key CE enablers for the construction of mega-projects were identified. Interpretive Structural Modelling (ISM) has been brought into the current research to collect and analyse the relevant data, including further validation of the enablers conducted with two university professors and six participants actively involved in three mega-projects. Following this, 17 professionals (stakeholders) drawn from separate case studies were selected to examine the contextual relationships between the identified enablers. In a third and last stage, the framework underwent additional validation by three professionals and three academics to ensure its consistency and adaptability for the Saudi Arabian construction industry. The results obtained showed that all CE enablers clustered into four categories: dependent, driving, linkage, and autonomous, whereas the ISM analysis demonstrated that CE in construction mega-projects fits a five-level framework, starting with the establishment of law and legislation. The integrated framework not only fills the identified knowledge gaps but also serves as a tool for the strategic implementation of CE in Saudi Arabia’s mega-projects.

Self-adaptive turbulence eddy simulation of a supersonic cavity-ramp flow

High Reynolds number supersonic wall-bounded turbulent flow is common in the aviation industry. However, accurately predicting this flow remains a long-standing challenge for turbulence modeling, particularly in separation cases. This study presents a numerical investigation of a Mach 2.92 turbulent cavity-ramp flow employing a new hybrid turbulence modeling approach, denoted as the self-adaptive turbulence eddy simulation (SATES) method. The results are compared with experimental data, as well as with outcomes from the conventional Reynolds-averaged Navier–Stokes (RANS) method and the previous delayed detached eddy simulation (DDES). The SATES model demonstrates a satisfactory prediction of time-averaged and fluctuating quantities in the free shear layer, redeveloping boundary layer, and ramp, showing better accuracy than the RANS results. Notably, the SATES results from the medium grid exhibit similarities to the DDES results from the extremely fine grid which is about 26 times compared with the SATES mesh. Furthermore, the significant features of the supersonic reattached flow, including turbulent properties, vortex structures, and unsteadiness characteristics, are analysed in detail, including the Reynolds stresses anisotropy invariant maps, transport process of vorticity, and frequency spectra. This work confirms that accurate numerical predictions of high Reynolds number supersonic separated and reattached flows are achievable using the SATES method with a relatively coarse mesh maintaining an affordable computational cost.

Analysis of hypothetical channel flow blockage of a tubular fuel assembly in a 10 MWth nuclear research reactor

Abstract Heat removal from the core of nuclear reactors is a crucial safety requirement that needs much analysis and attention. Coolant channel flow blockage is one of the unintentional cases that may influence the required heat removal rate. As a result, unsustainable over heating of the fuel cladding could occur resulting eventually in affecting the fuel integrity. This paper deals with simulating the effect of total channel flow blockage in a single fuel assembly on its steady state thermal hydraulic parameters. Thermal hydraulic calculations are carried out for the much less studied IRT-4M ducted fuel assembly type in a 10 MWth WWR-S tank in pool research reactor. The simulated IRT-4M fuel assembly comprises six rounded rectangular fuel elements in which seven channels are used for cooling. A mathematical model is developed in which all steady state thermal hydraulic parameters and their distributions could be predicted for the blocked and unblocked flow channel cases. Calculations were performed for two separate hypothetical flow channel blockage cases in the innermost channel and the middle channel of the IRT-4M fuel assembly. The results showed that the maximum clad temperatures for the two-flow blockage cases are nearly 127.4 °C, and 132.2 °C, respectively. The temperature increases resulting from a single channel blockage are not high enough to cause fuel damage, although some local coolant boiling might occur. Model validation and results support the model outcomes and its applications in the safety of the research reactor during abnormal operation.

The Challenges of the Presumption of Innocence in Lithuanian Criminal Proceedings

Abstract Although one of the key principles of the criminal procedure law - the presumption of innocence is officially declared as an aspiration in Lithuanian legal regulation and case law, there are still some areas of possible threat to this key principle. Therefore, the purpose of this research paper is to identify and analyse specific problems of ensuring the presumption of innocence in Lithuanian criminal law and criminal procedure law. So, the analysis was based on three main questions: the difficulties of ensuring the presumption of innocence in the Lithuanian criminal procedural law and Lithuanian criminal law and in the context of media. The research was carried out by employing the logical, the systematic, the linguistic, the historical, the comparative and the synthesizing research methods as well as the analysis of legal documents. The results of research analysis revealed specific areas that pose the greatest threat to violation of the presumption of innocence, as grounds for the termination of a criminal case; the general basis for issuing a preventive measure (arrest); complicity where the accomplices are tried in separate cases and media statements that have a direct impact on the impartiality of judges.

PVC induced QT prolongation for unmasking the LQTS

Abstract Background Long QT Syndrome (LQTS) is a congenital or acquired disorder of cardiac ion channels resulting in disturbances of myocardial repolarization, usually manifested by QT prolongation. Diagnostic criteria include the presence of the corrected QT interval (QTc) of at least 480ms (milliseconds) in repeated 12-lead ECGs or confirmed LQTS gene mutations. Patients with LQTS have an increased likelihood of developing life-threatening ventricular arrhythmias and sudden cardiac death. Hence, establishing an accurate diagnosis is crucial. Purpose About 50% of patients with LQTS presents with normal or borderline QTc interval. Such cases warrant additional work-up to confirm the diagnosis and can often get overlooked. Based on two separate patient cases we hypothesized that significant QTc interval prolongation occurring after premature ventricular contractions (PVCs) may be a valuable diagnostic clue for suspected LQTS or potentially life-threatening arrhythmia in cases with unclear diagnosis. Above mentioned patients displayed normal baseline QTc interval values that prolonged only after PVC. Later, one of them was diagnosed with congenital and another with drug-induced LQTS (see ECG 1). Methods We observed QT interval behavior after PVC in three prespecified groups:(I) Electrocardiographically affected LQTS subjects (QTc ≥480ms) – 10 patients, (II) Control group of unaffected, asymptomatic, otherwise healthy subjects (QTc<460ms) – 72 patients, (III) Index Group of 2 patients with baseline QTc interval of 360-460ms, prolonged only after PVC. 24-hour-ECG records were analyzed. We calculated means of QTc interval before and after PVC in abovementioned three groups and compared them to each other using ANCOVA analysis. Results The QT interval after PVC increased 488+23ms in the first and 390+10ms in the second group. In contrast to the index group, the QT interval was prolonged by 380+160ms after PVC. Post-PVC QTc interval mean difference adjusted to covariate, baseline QTc interval values, were statistically insignificant between I and II groups (P=0.o66), but significant between both I -III(P=0.000055) and II-III groups (P<.0001). Conclusion There are several studies indicating that PVCs affect QT interval, but the phenomena need more investigation. From the perspective of our study, we have also observed that QTc interval indeed increased after PVCs in both ECG-phenotype positive LQTS individuals and healthy subjects, but not in the extent of the index patients. Our study is limited by the small number of concealed LQTS cases. However, it gives us some basis to think, that this finding could be particularly useful to suspect and unmask concealed LQTS in the patients with non-diagnostic baseline ECG.ECG1

Costs of Adjustment, Portfolio Separation, and the Dynamic Behavior of Bank Loans and Deposits – Revised

AbstractWe revise the solutions of the dynamic optimization model of Elyasiani, Kopecky, and Van Hoose (1995), and show that the optimal policy function for the case of adjustment costs and no portfolio separation is a vector autoregressive model of order 1, and not of order 2. In addition, the empirical approach of Elyasiani, Kopecky, and Van Hoose (1995) is incorrect. The optimal policy functions for the no portfolio separation case have to be estimated with a panel vector autoregression model and not with a simultaneous equation approach. We also describe how the portfolio separation hypothesis can be tested empirically based on the correct policy functions.

Inverse problems of the wave equation for media with mixed but separated heterogeneous parts

In this article, the inverse problems for the wave equation in a medium in which multiple types of cavities and inclusion exist in a mixture are considered. From the point of view of the indicator function of the enclosure method, there are two types of heterogeneous parts: “minus group” and “plus group.” For example, cavities with the Dirichlet boundary condition belong to the minus group, while inclusions with smaller propagation velocity belong to the plus group. The heterogeneous part of the minus group gives a negative sign to the indicator function, and the heterogeneous part of the plus group gives a positive sign. In general, the presence of many types of heterogeneous parts causes cancelation of the sign of the indicator function. Such cases are referred to as “mixed cases.” Here, we consider the case that the shortest length obtained from the indicator function is attained only by heterogeneous parts of the same group. This case is called the “mixed but separated case,” and it is shown that the method of elliptic estimates developed by Ikehata works well. We also show that the case of a two‐layered background medium with a flat layer can be considered in the same way as the case of a homogeneous background medium.

The Chemistry of Metal-Organic Frameworks for Multicomponent Gas Separation.

Adsorbents-based gas separation technologies are regarded as the potential energy-efficient alternatives towards current thermal-driven methods, and the study on multi-component gas separation is essential to deepen our understanding of the adsorbents for practical use. Relative to the ideal two-component mixtures, both the adsorption behavior and separation mechanisms are obviously more complex in multiple gas mixtures due to their close or even overlapped sizes and properties. The emergence of metal-organic frameworks with controllable pore size and pore chemistry provides the platform for the tailor-made pore structure to satisfy the harsh requirements of multi-component gas separation. This minireview highlights the recent advance of multi-component gas separation using metal-organic frameworks, including multiple impurities removal and selective molecular capture. Combining with the typical cases of hydrocarbon separations (C2, C4, and C8), the detailed discussion about the developed strategies (e.g. self-adaptive binding sites, multiple binding spaces, synergistic binding sites, synergistic sorbent separation technology, gate-opening effect, size and thermodynamic combine effect) that are adaptive to different scenarios would be provided. The review will conclude with our perspective on the existing barriers and the future direction of this topic.

The Chemistry of Metal–Organic Frameworks for Multicomponent Gas Separation

AbstractAdsorbents‐based gas separation technologies are regarded as the potential energy‐efficient alternatives towards current thermal‐driven methods, and the study on multi‐component gas separation is essential to deepen our understanding of the adsorbents for practical use. Relative to the ideal two‐component mixtures, both the adsorption behavior and separation mechanisms are obviously more complex in multiple gas mixtures due to their close or even overlapped sizes and properties. The emergence of metal–organic frameworks with controllable pore size and pore chemistry provides the platform for the tailor‐made pore structure to satisfy the harsh requirements of multi‐component gas separation. This minireview highlights the recent advance of multi‐component gas separation using metal–organic frameworks, including multiple impurities removal and selective molecular capture. Combining with the typical cases of hydrocarbon separations (C2, C4, and C8), the detailed discussion about the developed strategies (e.g. self‐adaptive binding sites, multiple binding spaces, synergistic binding sites, synergistic sorbent separation technology, gate‐opening effect, size and thermodynamic combine effect) that are adaptive to different scenarios would be provided. The review will conclude with our perspective on the existing barriers and the future direction of this topic.

Study on the unique separation effect of emulsion in the stirring-induced turbulent flow field

Much attention has been gained to treat organic pollution dominated by oil pollutants in water with the frequent discharge of wastewater in industries. Liquid–liquid emulsion is a typical existence form of water and oil pollutants. The relative stable flow field is a necessary condition to separate the emulsion, while turbulence of the flow field is required for homogeneous mixing. For centuries, stirring-induced turbulent flow has been used for mixing, with a limited number of separation cases achieved by the stable part of the container at low Reynolds numbers (Re). In this study, the separation of liquid–liquid emulsions in a fully turbulent system for Reynolds number values above 10,000 was observed for the first time. Besides the turbulent flow influenced by the stirring speed, the additional dispersed phase, which was the same as the emulsified dispersed phase, played a critical role in the separation performance. The turbidity of oil-in-water emulsion could be decreased to less than 5 NTU (nephelometric turbidity unit) from 500 NTU under the optimal conditions in this study, with a separation efficiency of over 99%. This peculiar and wonderful characteristic of the turbulent flow and the study of the parameters and constraint conditions for separation may extend the application field of the turbulent flow field from conventional mixing to oil pollutants separation from water in environmental engineering.

RAdiotherapy Dose Accumulation Routine (RADAR)-A Novel Dose Accumulation Script With Built-In Uncertainty

PurposeTo incorporate uncertainty into dose accumulation for reirradiation. MethodsThe RADAR script for the Eclipse treatment planning system (Varian Medical Systems, Palo Alto, CA) is described and the voxel-wise ellipsoid search algorithm is introduced as a means of incorporating uncertainty. RADAR is first demonstrated on a test patient reirradiated to the spine illustrating the effect of the uncertainty algorithm. A summary of initial evaluation testing by 11 users, each of whom ran a separate spine reirradiation case, follows. Finally, RADAR run times are reported for different conditions. ResultsIn the demonstration case in which a 3mm ellipsoid search was used, maximum RADAR 2 Gy equivalent (EQD2) accumulated spinal cord dose increased from 7244 cGy to 12689 cGy because the ellipsoid search pulled dose from closer to the adjacent target structure. When the ellipsoid search was restricted to voxels within the spinal cord, the maximum accumulated cord dose was reduced to 6523 cGy and did not exceed the sum of the maximum EQD2 spinal cord doses of the individual plans (6730 cGy). In the evaluation cases, the RADAR EQD2 maximum dose for the spinal cord increased an average of 31.6% with uncertainty applied compared to a conventional dose accumulation and decreased an average of 16.7% compared to a conventional dose accumulation when the uncertainty calculation was restricted to voxels within the spinal cord. RADAR run times depend on the number of plans being added and the type of uncertainty being used. ConclusionRADAR offers a novel way to directly account for uncertainty in dose accumulation by means of a voxel-wise ellipsoid search algorithm. EQD2 dose accumulation with and without dose discounts is also available.

Sinonasal Plasmablastic Lymphoma: A Systematic Review

Abstract Objective Plasmablastic lymphoma (PBL) is a type of non-Hodgkin's B-cell lymphoma associated with human immunodeficiency virus and Epstein–Barr virus, commonly located in the oral cavity or gastrointestinal tract. Sinonasal involvement is rare, and there is no consensus on treatment. Data Sources Peer-reviewed published articles served as data sources. Review Methods A systematic review was conducted of the PubMed database for all cases of sinonasal PBL between 1978 and 2023 with the phrase “plasmablastic lymphoma.” Studies not written in English and that did not separate individual cases of sinonasal PBL from aggregated data were excluded. Age, sex, immune status, treatment, and outcomes were collected. Conclusion PBL is a rare malignancy in the sinonasal region usually treated with chemotherapy. It most commonly occurs in immunocompromised adults but has also been diagnosed in immunocompromised children and in immunocompetent adults. It is aggressive and has a poor prognosis. Implications for Practice PBL is a recently described entity with few cases of the sinonasal anatomic variant in the literature. Sinonasal PBL was most frequently treated with chemotherapy alone, closely followed by chemoradiation. The most common chemotherapy regimen utilized in the literature is cyclophosphamide, doxorubicin, oncovin/vincristine, and prednisone, which is also the most common chemotherapy regimen in nonsinonasal PBL. A second commonly used regimen is cyclophosphamide, vincristine/oncovin, doxorubicin/adriamycin, and dexamethasone. However, no treatment has emerged as superior to others with regard to survival. Further data are needed to better understand this rare disease.

The Doughnut Biotool: A tool to assess life-cycle biodiversity impacts from building projects

Abstract Life-cycle assessment (LCA) is widely used in certifications, regulations, and voluntary declarations covering the climate impact of buildings over their entire value chain. However, biodiversity impacts and other environmental impact categories are often disregarded. Conversely, there is a trend towards more systematic assessments of the biodiversity impacts that occur on-site as part of development projects (e.g. land transformation on the project site). However, off-site biodiversity impacts occurring throughout the rest of the value chain (e.g. from forestry activities, mining, manufacturing, heat and electricity production) are rarely considered. To bridge this gap, this article introduces the Doughnut Biotool, an open-source calculation tool to assess biodiversity impacts throughout the entire life cycle of development projects. The tool was initially developed to help implement Doughnut Economics and absolute sustainability principles in development projects. It constitutes a first step towards a better consideration of biodiversity impacts related to material- and energy use in building and construction projects. This paper presents the design of the tool and the method and data it relies on. The tool is applied to two separate case study projects, and used as a basis to discuss hotspots of biodiversity impacts within the building’s life cycle. Finally, the paper includes a discussion of the main challenges and opportunities for the future development and use of the tool, as well as for biodiversity impact assessments in the building sector as a whole.

형사소송법상 ‘피고인이 구속된 때’에 있어서 구속 개념의 해석 및 입법론 - 대법원 2024. 5. 23. 선고 2021도6357 전원합의체 판결

Korean Criminal Procedure Act establishes “when the defendant is in custody” as one of the grounds for appointing a public defender. (Article 33, Paragraph 1(1)) The Supreme Court has traditionally viewed this as a case in which the defendant is detained and on trial in the criminal case in question. It may be reasonably concluded, therefore, that being detained in a separate case or being convicted and sentenced in another criminal case does not qualify as a reason for the appointment. However, in May 2024, the Supreme Court reconsidered its position to include cases where a warrant of arrest has been issued and executed in a separate case or where the defendant has been convicted in another criminal case and is in custody as a result of the execution of the judgment. This artice reviews the decision to reconstruct the contents of its majority opinion, separate opinion, and supplementary opinion by interpreting the legal textual meaning of the concept of restraint, interpreting the purposive meaning, and policy interpretation issues. It will then evaluate them together with related laws and theories, with a view to seeking a legislative solution to the interpretation controversy. While the existing precedents did not present the interpretation arguments in detail, the individual opinions of the judgments indicate that the arguments were based on the stable utilization of the current system and practice on public defenders and the right to counsel, as well as the efficient allocation of judicial resources. There is a difference of opinion as to whether the expansion of the right to counsel and the necessary expansion of the public defender system should be achieved by changing case law or by amending the law. Thus, the author propose the amendment of paragraph 1(1) of the Article 33, “When the criminal defendant is placed under detention”to “When the criminal defendant is placed under custody”.

Modeling sector route segment capacity under convective weather based on machine learning

Abstract Estimating airspace capacity under convective weather conditions is crucial for ensuring the efficiency and safety of air traffic operations. Sector route segments, which are essential components of flight routes, require timely capacity predictions during operationally critical periods. In this paper, initially, an enhanced Recursive Feature Elimination algorithm is used to select meteorological data and develop predictive features. Subsequently, the CWSRC model is established using the RF supervised learning algorithm. Finally, the paper takes ENH-YIH segment as an example to predict the capacity. Compared with other machine learning algorithms, the residual percentages for KNN, MLP and RF are 86.03%, 77.37% and 93.40%, respectively, within the range of [−0.2, 0.2]. In three separate day cases, results show that the CWSRC model’s MAE, MSE, RMSE and R2 significantly outperform traditional methods like Maxflow/Mincut and scanning line. The results confirm the CWSRC model’s superior predictive capabilities.

ДОСЛІДЖЕННЯ АКУСТИЧНИХ ВЛАСТИВОСТЕЙ ЕЛІПТИЧНОГО (СФЕРИЧНОГО) ГЛУШНИКА ШУМУ

In this work, spherical and hemispherical silencers of exhaust gases of internal combustion engines are consid-ered as separate cases of an elliptical silencer. Spherical and hemispherical mufflers are preferred over elliptical mufflers based on their cheapness and ease of implementation with practically the same acoustic efficiency. The schemes of operation of both of the above silencers were considered: the movement of exhaust gases in them, incoming and reflected sound waves. Assembly drawings of a hemispherical muffler as a special case of an elliptical muffler were also given. An-alytical studies of the acoustic properties of the developed elliptical noise muffler in the low frequency range were carried out. In the high- and medium-frequency frequency ranges, the elliptical muffler suppresses noise due to the effect of sound reflection from the walls of the muffler and returning the latter back to the exhaust pipe. For low-frequency noise, such an effect is practically absent. This type of noise is suppressed in the developed muffler due to the high sound-absorbing properties of the muffler’s inner walls. To determine the effect of noise suppression in the low-frequency range, the laws of architectural acoustics were used, in particular, the reverberation time was calculated for geometric mean frequencies from 125 Hz to 6000 Hz. To ensure high sound-absorbing properties of the internal surfaces of the muf-flers, the use of special glass is proposed. The approximate dependence of the sound absorption coefficient of special glass on frequency is given. In the process of calculating the acoustic efficiency of the muffler, the dependence of the re-verberation time in the muffler on the noise frequency was obtained. At the same time, it was established that the effi-ciency in the area of low frequencies is 30 dB. Keywords: armored car, “Novator”, noise muffler, exhaust gases, acoustics, elliptical muffler, spherical muffler, sound absorption, glass, frequency, acoustic efficiency.

Some Results on Pursuit Games for an Infinite System of Ternary Differential Equations

This paper aims to study a one-pursuer, one evader pursuit differential game for a higher level of infinite system that is an infinite system of first order ternary differential equations, and prove completion of pursuit in the game. Both integral constraints and geometric constraints are subjected on the players' control functions, thus two separate cases of pursuit games are examined. In the game, the pursuer wants to take the state of the system into the origin of l2 space at some finite time interval, whereas evader avoids this from happening. For every case, we solve the control problem by establishing the admissible control function. In order to achieve the pursuer's objective, we then construct an admissible strategy for the pursuer and develop an equation for the guaranteed pursuit time of the game.