Books on the topic 'Low-order method'

By drawing on Bronfenbrenner’s (1999) ecological framework, this mixed-method paper recognizes school discontinuation not as an event but as a culmination of an interplay of various factors over time. Adopting a life course perspective and analyzing reasons given by adolescents for “not being in school” across the four middle- and low-income Young Lives study countries, three broad categories of reasons for early school leaving emerge. These are push factors, pull factors, and opted-out factors. Findings revealed that pull factors emerge as the greatest contributor toward children discontinuing education as they enter middle and late adolescence. Besides household dynamics and shocks, boys in particular discontinue schooling due to paid work, while girls spend long hours in domestic chores at the cost of attending school. While in-school factors, particularly quality, cannot be ignored, it is important to provide social protection nets to the poorest families in order to achieve Sustainable Development Goal Goal 4.

The book is devoted to the research and development of methods for combining computational structures for reconfigurable signature-based information protection tools for computer systems and networks in order to increase their efficiency. Network security tools based, among others, on such AI-based approaches as deep neural networking, despite the great progress shown in recent years, still suffer from nonzero recognition error probability. Even a low probability of such an error in a critical infrastructure can be disastrous. Therefore, signature-based recognition methods with their theoretically exact matching feature are still relevant when creating information security systems such as network intrusion detection systems, antivirus, anti-spam, and wormcontainment systems. The real time multi-pattern string matching task has been a major performance bottleneck in such systems. To speed up the recognition process, developers use a reconfigurable hardware platform based on FPGA devices. Such platform provides almost software flexibility and near-ASIC performance. The most important component of a signature-based information security system in terms of efficiency is the recognition module, in which the multipattern matching task is directly solved. It must not only check each byte of input data at speeds of tens and hundreds of gigabits/sec against hundreds of thousand or even millions patterns of signature database, but also change its structure every time a new signature appears or the operating conditions of the protected system change. As a result of the analysis of numerous examples of the development of reconfigurable information security systems, three most promising approaches to the construction of hardware circuits of recognition modules were identified, namely, content-addressable memory based on digital comparators, Bloom filter and Aho–Corasick finite automata. A method for fast quantification of components of recognition module and the entire system was proposed. The method makes it possible to exclude resource-intensive procedures for synthesizing digital circuits on FPGAs when building complex reconfigurable information security systems and their components. To improve the efficiency of the systems under study, structural-level combinational methods are proposed, which allow combining into single recognition device several matching schemes built on different approaches and their modifications, in such a way that their advantages are enhanced and disadvantages are eliminated. In order to achieve the maximum efficiency of combining methods, optimization methods are used. The methods of: parallel combining, sequential cascading and vertical junction have been formulated and investigated. The principle of multi-level combining of combining methods is also considered and researched. Algorithms for the implementation of the proposed combining methods have been developed. Software has been created that allows to conduct experiments with the developed methods and tools. Quantitative estimates are obtained for increasing the efficiency of constructing recognition modules as a result of using combination methods. The issue of optimization of reconfigurable devices presented in hardware description languages is considered. A modification of the method of affine transformations, which allows parallelizing such cycles that cannot be optimized by other methods, was presented. In order to facilitate the practical application of the developed methods and tools, a web service using high-performance computer technologies of grid and cloud computing was considered. The proposed methods to increase efficiency of matching procedure can also be used to solve important problems in other fields of science as data mining, analysis of DNA molecules, etc. Keywords: information security, signature, multi-pattern matching, FPGA, structural combining, efficiency, optimization, hardware description language.

Medical scientists employ ‘quality assessment tools’ to assess evidence from medical research, especially from randomized trials. These tools are designed to take into account methodological details of studies, including randomization, subject allocation concealment, and other features of studies deemed relevant to minimizing bias. There are dozens of such tools available. They differ widely from each other, and empirical studies show that they have low inter-rater reliability and low inter-tool reliability. This is an instance of a more general problem called here the underdetermination of evidential significance. Disagreements about the quality of evidence can be due to different—but in principle equally good—weightings of the methodological features that constitute quality assessment tools. Thus, the malleability of empirical research in medicine is deep: in addition to the malleability of first-order empirical methods, such as randomized trials, there is malleability in the tools used to evaluate first-order methods.

Soon after the discovery that bacteria are abundant in natural environments, the question arose as to whether or not they were active. Although the plate count method suggested that they were dormant if not dead, other methods indicated that a large fraction of bacteria and fungi are active, as discussed in this chapter. It goes on to discuss fundamental equations for exponential growth and logistic growth, and it describes phases of growth in batch cultures, continuous cultures, and chemostats. In contrast with measuring growth in laboratory cultures, it is difficult to measure in natural environments for complex communities with co-occurring mortality. Among many methods that have been suggested over the years, the most common one for bacteria is the leucine approach, while for fungi it is the acetate-in ergosterol method. These methods indicate that the growth rate of the bulk community is on the order of days for bacteria in their natural environment. It is faster in aquatic habitats than in soils, and bacteria grow faster than fungi in soils. But bulk rates for bacteria appear to be slower than those for phytoplankton. All of these rates for natural communities are much slower than rates measured for most microbes in the laboratory. Rates in subsurface environments hundreds of meters from light-driven primary production and high organic carbon conditions are even lower. Rates vary greatly among microbial taxa, according to data on 16S rRNA. Copiotrophic bacteria grow much faster than oligotrophic bacteria, but may have low growth rates when conditions turn unfavorable. Some of the factors limiting heterotrophic bacteria and fungi include temperature and inorganic nutrients, but the supply of organic compounds is perhaps most important in most environments.

This chapter, found in the cancer screening and management section of the book, provides a succinct synopsis of a key study examining the management of lung nodules detected by computed tomography and their risk of developing into lung cancer. This summary outlines the study methodology and design, major results, limitations and criticisms, related studies and additional information, and clinical implications. Virtual colonoscopy, using a primary 3D approach for polyp detection, was shown to be a minimally invasive procedure that is an accurate method for screening average-risk individuals. The likelihood of a clinically significant adenoma being missed on virtual colonoscopy was extremely low given the high negative predictive value. In addition to outlining the most salient features of the study, a clinical vignette and imaging example are included in order to provide relevant clinical context.

This chapter gives a non-technical overview of differential equations from across mathematical physics, with particular attention to those used in the book. It is a common trend in physics and nature, or perhaps just the way numbers and calculus come together, that, to describe the evolution of things, most theories use a differential equation of low order. This chapter is useful for those with no prior knowledge of the differential equations and explains the concepts required for a basic exposition of classical mechanics. It discusses separable differential equations, boundary conditions and initial value problems, as well as particular solutions, complete solutions, series solutions and general solutions. It also discusses the Cauchy–Lipschitz theorem, flow and the Fourier method, as well as first integrals, complete integrals and integral curves.

This chapter, found in the abdominal and pelvic pain section of the book, provides a succinct synopsis of a key study examining the use of ultrasound and magnetic resonance fusion imaging-guided biopsy for diagnosing prostate cancer. This summary outlines the study methodology and design, major results, limitations and criticisms, related studies and additional information, and clinical implications. Researchers found that this method of biopsy among men with suspected prostate cancer, compared to standard extended-sextant ultrasound-guided biopsy, is associated with higher detection of high-risk prostate cancer and lower detection of low-risk prostate cancer. In addition, targeted biopsy may significantly shift the distribution of risk in men newly diagnosed with prostate cancer toward more high-risk disease. In addition to outlining the most salient features of the study, a clinical vignette and imaging example are included in order to provide relevant clinical context.

This chapter, found in the chest pain section of the book, provides a succinct synopsis of a key study comparing the use of computed tomography angiography (CTA) and ventilation-perfusion (V-Q) scans for ruling out pulmonary embolism. This summary outlines the study methodology and design, major results, limitations and criticisms, related studies and additional information, and clinical implications. The researchers report that a strategy to rule out pulmonary embolism and anticoagulation therapy using the methods in the study resulted in low, similar rates of venous thromboembolic events at 3 months follow-up; however, more patients were diagnosed with pulmonary embolism in the CTA arm of the study. In addition to outlining the most salient features of the study, a clinical vignette and imaging example are included in order to provide relevant clinical context.

Functional neuroimaging techniques include methods that probe various aspects of brain function and help derive models of brain organization in health and disease. These techniques can be grouped in two categories. Some are mainly based on electromagnetic signals (electroencephalography, magnetoencephalography), recording brain activity using a large number of sensors with exquisite temporal resolution (usually of the order of a kilohertz) but allowing only indirect characterization of three-dimensional brain activity by resorting to mathematical models. The second type includes different techniques (PET scan, SPECT, MRI, optical imaging) that typically assess metabolic or hemodynamic parameters, with millimeter spatial resolution and usually from the entire brain volume. However, temporal resolution is usually low because it is primarily driven by metabolic processes that unfold in several seconds or minutes. This chapter focuses on this second type, covering the contribution of brain imaging to understanding NREM sleep and REM sleep and also sleep disorders.

Tribomaterials: Properties and Selection for Friction, Wear, and Erosion Applications provides practical information on the tribological behaviors of engineering materials, how they are measured, and how to account for them in order to optimize product lifetime and performance. The first few chapters describe the mechanisms and manifestations of various types of friction, erosion, and wear and how to assess their impact on design and equipment operation using proven tribotesting methods. The chapters that follow cover the tribological properties and characteristics of important engineering materials, including carbon and low-alloy steels, tool steels, stainless steels, nickel- and cobalt-base alloys, copper alloys, and cast iron as well as ceramics, cermets, cemented carbides, polymers, and polymer composites. The book also includes chapters on treatments and coatings, lubrication, and the selection and screening of materials for tribosystems, including medical applications. Each chapter ends with a review of terms, takeaway concepts, essential questions, and related reading. For information on the print version, ISBN: 978-1-62708-321-8, follow this link.

As environmental crises loom, this book makes an argument for radical changes in the ways in which people live in order to stave off a dystopian future. A possible way forward is radical sustainable development, which emphasizes environmental and social justice concerns that are at once transformative, or egalitarian toward total liberation, and regenerative, or restorative to heal the health of people and the planet. Radical sustainability is distinguished from weak sustainability—a critique of the neoliberal, sustainable development project that, in practice, prioritizes economic growth over people and the planet—using theories from ecofeminist, environmental justice, and postcolonial scholars. The prevailing notion of sustainable development has remained ineffective at reducing environmental degradation and social inequalities. To gauge possible solutions to these problems, the book examines two alternative, community-scale, socioecological models of development with small environmental footprints and more egalitarian social practices. Methods employed are qualitative, cross-national, and comparative. The cases are an urban ecovillage in the Pacific Northwest, United States and a Cuban urban farm in Havana. These cases are important reminders that elegant, low-cost solutions already exist for environmental harm mitigation as well as social equity and adaptation. Findings highlight that each case uses community-oriented, low-tech practices and integrates ancestral, Indigenous, and local ecological knowledges. They prioritize social and ecological efficiency and subsume economic rationality towards those ends. While neither is a panacea, both provide examples for how communities can move toward stronger forms of sustainable development and empower readers to imagine, and possibly build, more resilient futures.

Cardiovascular disease remains a leading cause of death and disability globally, and cardiovascular prevention should take place everywhere. Reducing the burden of cardiovascular disease requires a concerted effort in multiple settings (primary care, acute care, community, and home), and from multiple stakeholders such as government, public health, non-governmental organizations, healthcare, industry, and individuals. Primary care provides the majority of healthcare to populations, and is in an optimal position to screen and assess patients for cardiovascular risk and deliver cardiovascular prevention. Improving screening, risk assessment, and use of evidence-based guidelines requires collaboration between specialist cardiology services and primary care. Nurse-led and multiprofessional teams are effective in delivering prevention across a variety of settings. Prevention should be a priority prior to patient discharge from hospital following an acute cardiovascular event, and should encompass both medications and advice regarding lifestyle behaviours. Secondary prevention through specialized prevention programmes is needed by patients in order to reduce the risk of subsequent events. Cardiac rehabilitation is one of the most effective methods of delivering prevention and improving patient well-being following an acute event or procedure. There is a need to get more patients participating by using alternative methods of delivery and ensuring that women, older patients, and those with low fitness are encouraged and supported to attend. Stakeholders such as government, non-governmental organizations, and industry have important roles to play in improving public health. Healthcare providers should disseminate their research in lay language, and play a role in advising on and supporting public health measures.

The aim of the paper was to determine the influence of root systems of chosen tree species found in the Polish Flysch Carpathians on the increase of soil shear strength (root cohesion) in terms of slope stability. The paper's goal was achieved through comprehensive tests on root systems of eight relatively common in the Polish Flysch Carpathians tree species. The tests that were carried out included field work, laboratory work and analytical calculations. As part of the field work, the root area ratio (A IA) of the roots was determined using the method of profiling the walls of the trench at a distance of about 1.0 m from the tree trunk. The width of the. trenches was about 1.0 m, and their depth depended on the ground conditions and ranged from 0.6 to 1.0 m below the ground level. After preparing the walls of the trench, the profile was divided into vertical layers with a height of 0.1 m, within which root diameters were measured. Roots with diameters from 1 to 10 mm were taken into consideration in root area ratio calculations in accordance with the generally accepted methodology for this type of tests. These measurements were made in Biegnik (silver fir), Ropica Polska (silver birch, black locust) and Szymbark (silver birch, European beech, European hornbeam, silver fir, sycamore maple, Scots pine, European spruce) located near Gorlice (The Low Beskids) in areas with unplanned forest management. In case of each tested tree species the samples of roots were taken, transported to the laboratory and then saturated with water for at least one day. Before testing the samples were obtained from the water and stretched in a. tensile testing machine in order to determine their tensile strength and flexibility. In general, over 2200 root samples were tested. The results of tests on root area ratio of root systems and their tensile strength were used to determine the value of increase in shear strength of the soils, called root cohesion. To this purpose a classic Wu-Waldron calculation model was used as well as two types of bundle models, the so called static model (Fiber Bundle Model — FIRM, FBM2, FBM3) and the deformation model (Root Bundle Model— RBM1, RBM2, mRBM1) that differ in terms of the assumptions concerning the way the tensile force is distributed to the roots as well as the range of parameters taken into account during calculations. The stability analysis of 8 landslides in forest areas of Cicikowicleie and Wignickie Foothills was a form of verification of relevance of the obtained calculation results. The results of tests on root area ratio in the profile showed that, as expected, the number of roots in the soil profile and their ApIA values are very variable. It was shown that the values of the root area ratio of the tested tree species with a diameter 1-10 ram are a maximum of 0.8% close to the surface of the ground and they decrease along with the depth reaching the values at least one order of magnitude lower than close to the surface at the depth 0.5-1.0 m below the ground level. Average values of the root area ratio within the soil profile were from 0.05 to 0.13% adequately for Scots pine and European beech. The measured values of the root area ratio are relatively low in relation to the values of this parameter given in literature, which is probably connected with great cohesiveness of the soils and the fact that there were a lot of rock fragments in the soil, where the tests were carried out. Calculation results of the Gale-Grigal function indicate that a distribution of roots in the soil profile is similar for the tested species, apart from the silver fir from Bie§nik and European hornbeam. Considering the number of roots, their distribution in the soil profile and the root area ratio it appears that — considering slope stability — the root systems of European beech and black locust are the most optimal, which coincides with tests results given in literature. The results of tensile strength tests showed that the roots of the tested tree species have different tensile strength. The roots of European beech and European hornbeam had high tensile strength, whereas the roots of conifers and silver birch in deciduous trees — low. The analysis of test results also showed that the roots of the studied tree species are characterized by high variability of mechanical properties. The values Of shear strength increase are mainly related to the number and size (diameter) of the roots in the soil profile as well as their tensile strength and pullout resistance, although they can also result from the used calculation method (calculation model). The tests showed that the distribution of roots in the soil and their tensile strength are characterized by large variability, which allows the conclusion that using typical geotechnical calculations, which take into consideration the role of root systems is exposed to a high risk of overestimating their influence on the soil reinforcement. hence, while determining or assuming the increase in shear strength of soil reinforced with roots (root cohesion) for design calculations, a conservative (careful) approach that includes the most unfavourable values of this parameter should be used. Tests showed that the values of shear strength increase of the soil reinforced with roots calculated using Wu-Waldron model in extreme cases are three times higher than the values calculated using bundle models. In general, the most conservative calculation results of the shear strength increase were obtained using deformation bundle models: RBM2 (RBMw) or mRBM1. RBM2 model considers the variability of strength characteristics of soils described by Weibull survival function and in most cases gives the lowest values of the shear strength increase, which usually constitute 50% of the values of shear strength increase determined using classic Wu-Waldron model. Whereas the second model (mRBM1.) considers averaged values of roots strength parameters as well as the possibility that two main mechanism of destruction of a root bundle - rupture and pulling out - can occur at the same. time. The values of shear strength increase calculated using this model were the lowest in case of beech and hornbeam roots, which had high tensile strength. It indicates that in the surface part of the profile (down to 0.2 m below the ground level), primarily in case of deciduous trees, the main mechanism of failure of the root bundle will be pulling out. However, this model requires the knowledge of a much greater number of geometrical parameters of roots and geotechnical parameters of soil, and additionally it is very sensitive to input data. Therefore, it seems practical to use the RBM2 model to assess the influence of roots on the soil shear strength increase, and in order to obtain safe results of calculations in the surface part of the profile, the Weibull shape coefficient equal to 1.0 can be assumed. On the other hand, the Wu-Waldron model can be used for the initial assessment of the shear strength increase of soil reinforced with roots in the situation, where the deformation properties of the root system and its interaction with the soil are not considered, although the values of the shear strength increase calculated using this model should be corrected and reduced by half. Test results indicate that in terms of slope stability the root systems of beech and hornbeam have the most favourable properties - their maximum effect of soil reinforcement in the profile to the depth of 0.5 m does not usually exceed 30 kPa, and to the depth of 1 m - 20 kPa. The root systems of conifers have the least impact on the slope reinforcement, usually increasing the soil shear strength by less than 5 kPa. These values coincide to a large extent with the range of shear strength increase obtained from the direct shear test as well as results of stability analysis given in literature and carried out as part of this work. The analysis of the literature indicates that the methods of measuring tree's root systems as well as their interpretation are very different, which often limits the possibilities of comparing test results. This indicates the need to systematize this type of tests and for this purpose a root distribution model (RDM) can be used, which can be integrated with any deformation bundle model (RBM). A combination of these two calculation models allows the range of soil reinforcement around trees to be determined and this information might be used in practice, while planning bioengineering procedures in areas exposed to surface mass movements. The functionality of this solution can be increased by considering the dynamics of plant develop¬ment in the calculations. This, however, requires conducting this type of research in order to obtain more data.

In this research work, we have demonstrated the synthesis, spectroscopic characteristics, thermal behaviour and DC conductivity of a few nanostructured composites, substituted conducting polymers (ICPs) and composites of ICPs. The physical properties of aforementioned composites are significantly changed by the doping with HCl, H2SO4, HNO3, H3PO4, or acrylic acid. The charge transport properties of these polymeric materials have been studied in detail because of their potential application in gas sensors. In the current work, varieties of conducting polymer based materials such as PANI-ES/Cloisite 20A nanostructured composite, acrylic acid (AA) doped PANI polymer, N-substituted conducting polyaniline polymer, DL−PLA/PANI-ES composites, poly methyl methacrylate (PMMA) based polyaniline composite, and inorganic acid doped polyaniline are sucessfuly synthesized using aniline/aniline hydrochloride as precursors in acidic medium. Particularly, AA based synthesised PANI polymer was found with higher solubility The spectroscopic, thermal stability, enthalpy of fusion, room temperature DC conductivity and temperature dependent DC conductivity measurements with and without magnetic was carried out with as-synthesized materials. The FTR/ATR−FTIR spectra indicated the presence of different functional groups in the as-prepared composite materials. The UV−Visible absorption spectroscopic analysis showed the presence of polaron band suggesting PANI-ES form. The Room temperature DC conductivity, temperature variation DC conductivity (in presence and absence of magnetic field), and magnetoresistance (MR) of as-prepared conducting polyaniline based were analysed. The highest room temperature DC conductivity value was obtained from H2SO4 doped based composite materials and all prepared conductive composites were followed ohms law. The low temperature DC conductivity was carried out in order to study the semiconducting nature of prepared materials. The Mott type VRH model was found to be well fitted the conductivity data and described the density of states at the Fermi level which is constant in this temperature range. From MR plots, a negative MR was observed, which described the quantum interference effect on hopping conduction. We discuss different gas analytes i.e., NO2, LPG, H2, NH3, CH4, and CO of conducting polymer based materials.

Day-stay surgery is becoming increasingly common the world over. There are several benefits of avoiding in-hospital care. Early ambulation reduces the risk for thromboembolic events, facilitates wound healing, and avoiding admission reduces the risk for hospital-related infection. Additionally, the risk of neurocognitive side-effects can be avoided by returning the elderly patient to their home environment. Day-stay anaesthesia calls for adequate and structured preoperative assessment and patient evaluation, and the potential risk associated with surgery and anaesthesia should be assessed on an individual basis. Need for preoperative testing should be based on functional status of the patient and preoperative medical history but even the surgical procedure should be taken into account. Preoperative fasting should be in accordance with modern guidelines, refraining from food for 6 hours and fluids for 2 hours prior to induction in low-risk patients. Preventive analgesia and prophylaxis of postoperative nausea and vomiting (PONV) should be administered preoperatively. Local anaesthesia should be administered prior to incision, constituting part of multimodal analgesia. The multimodal analgesia strategy should also include paracetamol and a non-steroidal anti-inflammatory drug in order to reduce the noxious stimulus from the surgical field. Third-generation inhaled anaesthetics or a propofol-based maintenance are both feasible alternatives. Titrating depth of anaesthesia by using an EEG-based depth of anaesthesia monitor may facilitate the recovery process. The laryngeal mask airway has become commonly used and has several advantages. Ultrasound-guided peripheral blocks may facilitate the early postoperative course by reducing pain and avoiding the use of opiates. Perineural catheters may be an option for prolongation of the block following painful orthopaedic procedures but a strict protocol and follow-up must be secured. Not only pain but even nausea and vomiting should be prevented, and therefore risk stratification, for example by the Apfel score, and PONV prophylaxis in accordance with the risk score is strongly recommended. Early ambulation should be encouraged postoperatively. Safe discharge should include an escort who also remains at home during the first postoperative night. Analgesics should be provided and be readily available for self-care when the patient comes home. Pain medication should include an opioid; however, the benefit versus risk must be assessed on an individual basis. Patients should also be instructed about a rescue return-to-hospital plan. Quality of care should include follow-up and analysis of clinical practice, and institution of methods to improve quality should be enforced for the benefit of the ambulatory surgical patient.

Horseradish roots, due to the content of many valuable nutrients and substances with healing and pro-health properties, are used more and more in medicine, food industry and cosmetics. In Poland, the cultivation of horseradish is considered minor crops. In addition, its limited size causes horseradish producers to encounter a number of unresolved agrotechnical problems. Infectious diseases developing on the leaves and roots during the long growing season reduce the size and quality of root crops. The small range of protection products intended for use in the cultivation of horseradish generates further serious environmental problems (immunization of pathogens, low effectiveness, deterioration of the quality of raw materials intended for industry, destruction of beneficial organisms and biodiversity). In order to meet the problems encountered by horseradish producers and taking into account the lack of data on: yielding, occurrence of infectious diseases and the possibility of combating them with methods alternative to chemical ones in the years 2012–2015, rigorous experiments have been carried out. The paper compares the impact of chemical protection and its reduced variants with biological protection on: total yield of horseradish roots and its structure. The intensification of infectious diseases on horseradish leaves and roots was analyzed extensively. Correlations were examined between individual disease entities and total yield and separated root fractions. A very important and innovative part of the work was to learn about the microbial communities involved in the epidemiology of Verticillium wilt of horseradish roots. The effect was examined of treatment of horseradish cuttings with a biological preparation (Pythium oligandrum), a chemical preparation (thiophanate-methyl), and the Kelpak SL biostimulator (auxins and cytokinins from the Ecklonia maxima algae) on the quantitative and qualitative changes occurring in the communities of these microorganisms. The affiliation of species to groups of frequencies was arranged hierarchically, and the biodiversity of these communities was expressed by the following indicators: Simpson index, Shannon–Wiener index, Shannon evenness index and species richness index. Correlations were assessed between the number of communities, indicators of their biodiversity and intensification of Verticillium wilt of horseradish roots. It was shown that the total yield of horseradish roots was on average 126 dt · ha–1. Within its structure, the main root was 56%, whereas the fraction of lateral roots (cuttings) with a length of more than 20 cm accounted for 26%, and those shorter than 20 cm for 12%, with unprofitable yield (waste) of 6%. In the years with higher humidity, the total root yield was higher than in the dry seasons by around 51 dt · ha–1 on average. On the other hand, the applied protection treatments significantly increased the total yield of horseradish roots from 4,6 to 45,3 dt · ha–1 and the share of fractions of more than 30 cm therein. Higher yielding effects were obtained in variants with a reduced amount of foliar application of fungicides at the expense of introducing biopreparations and biostimulators (R1, R2, R3) and in chemical protection (Ch) than in biological protection (B1, B2) and with the limitation of treatments only to the treatment of cuttings. The largest increments can be expected after treating the seedlings with Topsin M 500 SC and spraying the leaves: 1 × Amistar Opti 480 SC, 1 × Polyversum WP, 1 × Timorex Gold 24 EC and three times with biostimulators (2 × Kelpak SL + 1 × Tytanit). In the perspective of the increasing water deficit, among the biological protection methods, the (B2) variant with the treatment of seedlings with auxins and cytokinins contained in the E. maxima algae extract is more recommended than (B1) involving the use of P. oligandrum spores. White rust was the biggest threat on horseradish plantations, whereas the following occurred to a lesser extent: Phoma leaf spot, Cylindrosporium disease, Alternaria black spot and Verticillium wilt. In turn, on the surface of the roots it was dry root rot and inside – Verticillium wilt of horseradish roots. The best health of the leaves and roots was ensured by full chemical protection (cuttings treatment + 6 foliar applications). A similar effect of protection against Albugo candida and Pyrenopeziza brassicae was achieved in the case of reduced chemical protection to one foliar treatment with synthetic fungicide, two treatments with biological preparations (Polyversum WP and Timorex Gold 24 EC) and three treatments with biostimulators (2 × Kelpak SL, 1 × Tytanit). On the other hand, the level of limitation of root diseases comparable with chemical protection was ensured by its reduced variants R3 and R2, and in the case of dry root rot, also both variants of biological protection. In the dry years, over 60% of the roots showed symptoms of Verticillium wilt, and its main culprits are Verticillium dahliae (37.4%), Globisporangium irregulare (7.2%), Ilyonectria destructans (7.0%), Fusarium acuminatum (6.7%), Rhizoctonia solani (6.0%), Epicoccum nigrum (5.4%), Alternaria brassicae (5.17%). The Kelpak SL biostimulator and the Polyversum WP biological preparation contributed to the increased biodiversity of microbial communities associated with Verticillium wilt of horseradish roots. In turn, along with its increase, the intensification of the disease symptoms decreased. There was a significant correlation between the richness of species in the communities of microbial isolates and the intensification of Verticillium wilt of horseradish roots. Each additional species of microorganism contributed to the reduction of disease intensification by 1,19%.