eChapters

4.1 Introduction

There are some mathematical tools that are applicable in solving the mathematical problems related to the subject matter on “Economic Theory”. Differential calculus is one of those mathematical tools. Hence the useful theory of differential calculus will be discussed in this chapter.

4.2 Differentiation

The mathematical term “Differentiation” is involved in finding the rate at which a variable quantity changes.

In the theory of “Differential Calculus” we are concerned fundamentally with the “Rate of Variation” in a function y = f(x) with respect to the change in other variable (Independent Variable X) on which the dependent variable ‘Y’ depends through a relation Y = f(x).

Soil supports diverse arthropod communities, including insects, mites, springtails, spiders, millipedes and centipedes. These organisms contribute to decomposition, nutrient cycling, soil formation, microbial regulation and food-web stability. Their activities improve soil fertility, structure and overall ecosystem functioning. However, soil arthropods are highly responsive to temperature, moisture, vegetation and other environmental factors. Global warming, altered rainfall, drought and changes in soil properties can modify their diversity, abundance, distribution and ecological interactions. Despite their importance, climate-change effects on soil arthropods remain comparatively understudied. This chapter examines their ecological roles, relationships with soil properties and responses to changing climatic conditions in agricultural ecosystems.

Food security is achieved when adequate food is available and accessible and satisfactorily used and utilized by all individuals to live a healthy and active life. But food and nutrition security is achieved when people have physical, economic and social access to food of sufficient quantity in terms of variety, diversity, nutrient content and safety to meet their dietary needs and food preferences for a healthy and active life coupled with sanitary environment, adequate health and education care. In order to achieve food and nutrition security there is a need for transitioning toward nutrition sensitive food system.

Introduction 
Before 1800, it was believed that organic compounds could only be synthesized by living organisms, not possible in the laboratory. Friedrich Wohler successfully synthesized the first organic compound urea in the laboratory. Recently, synthetic organic chemistry has been a well-established science to construct derivative or new compounds, which have been utilized in the fields of medicine, food, clothing, nutrition, polymers, plastic, highly durable materials, and high energy fuels, that are beneficial to humans, and society. To achieve faster organic transformations, many advancements have been made, as a result, catalysts have been taken into account, which provides an alternate faster path for the reaction by lowering the activation energy. The catalysts play a very crucial role in achieving organic transformations more efficiently, affordably, and with higher yields in less time. Additionally, the catalyst which is environment-friendly and easily recoverable after completion of the process, would be beneficial in both economic and ecological ways (Trost, 1991). The utilization of nanoparticles as catalysts in organic transformations is more advantageous over conventional catalysts because of lower catalyst loadings, and high performance of the reaction in heterogenous phase. The large surface area of nanoparticles is responsible for high reactivity towards organic transformations. Till now, many nano-dimension metals like gold (Au), silver (Ag), platinum (Pt), and palladium (Pd) efficiently utilized to catalyze organic transformations (Muskan et al., 2022). The ever-growing demand for productive and sustainable catalytic systems has driven the utilization of transition metal nanoparticles as catalysts in organic conversions (Pathak et al., 2024). Among these, copper-based nanoparticles have shown great potential as catalysts due to their large surface area and variable oxidation states, which enable them to function as both oxidizing and reducing agents, effectively replacing traditional palladium catalysts (Pathak et al., 2024). Copper-based nanoparticles having specific physicochemical properties, varying in size, porosity, surface/volume ratio, and shape can also be synthesized through different physical, chemical, and biogenic methodologies. Most physical and chemical methods are considered toxic, have huge energy demands, and have high-temperature demands. In contrast, biogenic methods are simple and non-toxic. The biogenic procedure can be done by using microbes, fungi, algae, plants, extracts, etc. This chapter provides insights into various aspects of the biogenic synthesis of copper-based nanoparticles using plants and multiple catalytic applications in recent organic transformations.

Artificial seeds have been widely used for micro-propagation of many plant species. Establishment of gene banks for ex situ conservation of plant germplasm in the form of field gene banks, seed gene banks, in vitro collections, and cryogenically preserved tissues is a common practice (Withers 1983; Rao, 2004; Borner, 2006). Alginate encapsulation provides a viable approach for in vitro germplasm conservation as it combines the advantages of clonal multiplication with those of seed propagation and storage (Standardi and Piccioni, 1998; Ara et al., 2000).

The main aim of artificial seeds is to obtain true to type plants to maintain the germplasm, but, however, during tissue culture, there is a chance of genetic aberration which is commonly known as somaclonal variations. Larkin and Scowcroft (1981) for the first time used the word ‘somaclonal variation’ to describe these variations as displayed among the plants derived from tissue culture. It is clearly understood that genomes modify themselves when exposed to unfamiliar conditions, and these modifications are best described as programmed loss of cellular control (Phillips et al., 1994).

Fixation of elemental nitrogen in the atmosphere by the microorganisms through a reductive process into ammonia is called biological nitrogen fixation (BNF). Molecular nitrogen (N₂) is the major component (approximately 80%) of the earth’s atmosphere. The element nitrogen is an essential part of many of the chemical compounds, such as proteins and nucleic acids, which are the basis of all life forms. However, N₂ cannot be used directly by biological systems to build the chemicals required for growth and reproduction. Before its incorporation into a living system, N₂ must first be combined with the element hydrogen. This process of reduction of N₂ commonly referred to as nitrogen fixation (N-fixation).

N₂is transformed into reactive N via lightning discharge (5 teragrams (Tg) N / year; 1 Tg equals 1012 g) and by biological N fixation (100 -140 Tg N /year ). Conversion of dinitrogen to ammonia in the industrial process requires temperatures of 400 - 500^o C and high pressures (Haber-Bosch process). Biological nitrogen fixation is much more important as it contributes to more than 70 % of the input in to the world’s soil and water nitrogen. It has been estimated that 100 to 175 million tones of nitrogen are fixed annually by the process of biological nitrogen fixation.

The process of N₂ fixation is mediated by the enzyme, called nitrogenase (which reduces N₂ to ammonia). The overall reaction is as follows.

Ethylene is a primary plant hormone involved in the senescence of plant tissues including flowers and leaves. In carnation, inhibition of the synthesis or action of ethylene delays the onset of senescence symptoms and lengthens the vase life of flowers. Leaves of cut chrysanthemum of some cultivars frequently become yellow, sometimes prior to onset of flower senescence, in response to exogenous ethylene. Generation of transgenic plants with suppressed production or action of ethylene is an excellent way to lengthen the longevity of these ornamental plants. This paper reviews our studies on generation and characterization of carnations with reduced ethylene production and chrysanthemum with reduced sensitivity to ethylene.

Ethylene is a primary plant hormone involved in the senescence of cut flowers of many ornamentals such as carnation, sweetpea and delphinium. It is produced on a large amount at a later stage of flower senescence. The increased ethylene production accelerates withering and dropping of petals. Inhibition of synthesis or action of ethylene delays the onset of senescence symptoms and extends the vase life of flowers.

• Neoplasm General

• Neoplasm in cattle and buffaloes

• Neoplasm in sheep and goat

• Neoplasm in equines, swine and camels

• Neoplasms in pet animals

• Neoplasms in poultry

• Neoplasms in wild animals

• Neoplasms in laboratory animals

1.1 Introduction
Concentrated milks, like evaporated milk and sweetened condensed milk, serve as practical substitutes for fresh milk in regions where access to it is limited or where transportation and storage are challenging. These products go through specific processing techniques to reduce their water content, thereby improving their shelf life and transportability. Evaporated milk is created by removing water through evaporation and then
sterilizing it to prevent microbial growth. This process results in a thicker consistency and a slightly caramelized flavor due to the heat treatment. On the other hand, sweetened condensed milk is made by adding a significant amount of sucrose to the milk and excluding oxygen, which inhibits microbial growth. This results in a thick, sweet product suitable for various culinary uses. These concentrated milk products are usually packaged in small cans, making them convenient for storage and transportation. However, they are sometimes diluted before consumption with water to resemble the taste and consistency of fresh milk. In regions where even concentrated milks are not easily accessible, alternatives like whole milk powder or recombined milk are used. These alternatives involve dehydrating milk into powder form or reconstituting milk components to create a liquid similar to fresh milk. Innovations in processing and packaging have led to the development of alternative uses for concentrated milks, expanding their versatility beyond traditional applications. These products continue to provide essential dairy
nutrition in areas where fresh milk is scarce or hard to obtain, offering a shelfstable solution to meet dietary needs.

Over the past 12,000 years Homo sapiens have moved from the hunter–gatherer life-style to settled agriculture to advanced civilization in urban society with improved quality of life. Livestock has played an important role as an instrument of bringing out this change. Farmers all over the world, attach great importance to livestock ownership as a source of nutrition, as a mechanism for capital accumulation, and concomitantly, as a symbol of wealth and status in the community. Just as in today’s society, money is used to exchange goods and services, livestock including goats used to play the same role in times gone by. Most farmers consider livestock as a important resource for income generation. Livestock sector plays a significant role in supplementing family income and generating gainful employment in the rural sector, particularly among the landless, marginal and small farmers and women, besides providing cheap nutritional food to millions of people. History indicates that livestock has been not only a resource, but also an instrument of dominance and a source of conflict in the society. Livestock especially small ruminants have often served as a means for exchange of goods and services and thus becoming increasingly important in the growth of agriculture in developing economies.

Livestock species which man domesticated for improving the quality of human life include goat, sheep, cattle, buffalo, pig, poultry, horses and camels. Among these goats were the first among livestock species domesticated by man. Goats are among the smallest domesticated ruminants and have served mankind longer than cattle or sheep. Goat is an important source of meat, milk, skin, fiber and manure since then. Traditionally goats have been an important source of income generation among small households. Goats have been used to buy salt, cloth and groceries in many communities. Goats provide a large part of the cash income for smallholder farmers. Goats are friendly animals; with proper attention they maintain good health and can be managed easily even by children.

Sailors and other explorers out on the high seas kept goats as a ready stock of meat & milk on long voyages. Captain Cook’s goat had already sailed around the world before it entered on its first voyage with Cook, and helped save everyone on board the ship from scurvy. Goats are some times kept as pet or companion animal. Their use as pet is common in European countries especially U.K. Some owners keep goats for purpose of goat shows.

A flood occurs when water exceeds the carrying capacity of a river, stream, drain, gully, or another natural or artificial channel and spreads over adjoining land. Its severity depends on water volume, depth, velocity, duration, timing, and the vulnerability of affected communities. Prolonged inundation can severely damage crops, property, infrastructure, water supplies, and human and animal life. Night-time floods may be particularly dangerous because warnings and evacuation become difficult. This chapter introduces flood occurrence and mechanisms, India’s and the world’s flood history, flood-prone regions, flood types and causes, major consequences, and the responsibilities of Indian flood-control and forecasting agencies.

Answer Inflammatory or Not

• If yes it is non-neoplastic or inflammatory
• If no, consider neoplastic conditions
• Certain non-neoplastic conditions may not show inflammatory cells (Haematoma, cystic fluid, epidermal/dermal cysts)
• Inflammation or non-neoplastic condition is characterized by a mixed population of cells including neutrophils, lymphocytes, plasma cells, eosinophils, macrophages, epithelioid cells and giant cells.
• Inflammatory reactions often result in hyperplasia of surrounding tissues.
• If not inflammatory, it may be neoplastic.

Introduction
Freezing is one of the oldest and most widely used methods of food preservation, which allows the preservation of taste, texture, and nutritional quality in foods better than any other methods. The freezing process is a combination of the beneficial effects of low temperatures at which micro-organisms cannot grow, chemical reactions are reduced, and cellular metabolic reactions are delayed. Freezing is generally referred to as a unit operation in which the temperature of food is reduced below the freezing point and a proportion of water undergoes a change in state to form ice crystals. Immobilization of water to ice and the resulting concentration of dissolved solutes in unfrozen water cause a lowering of water activity of the food. Thus, reduction in water activity and use of low temperatures coupled with some pre-treatments like blanching is the basis for food preservation by freezing. Fruits such as strawberries, oranges, raspberries, black currants, and vegetables like green peas, green beans, sweet corn, spinach, carrots, sprouts, and potatoes are examples of commercially frozen fruits and vegetables.
The frozen food market is one of the largest and most dynamic sectors o the food industry. Despite considerable competition between the frozen food industry and other sectors, large quantities of frozen foods are being consumed all over the world. The frozen vegetable industry mostly grew after the development of scientific methods for blanching and processing in the 1940s. The commercialization history of frozen fruits is older than frozen vegetables. The commercial freezing of small fruits and berries began in the eastern part ofthe United States in about 1905.

1. ………… is the father of plant pathology.

   a) T J Burril

   c) Anton De Barry

   b) Needham

   d) E J Butler

2. ……… first time reported that plant diseases are caused by bacterium.

   a) Robert Koch

   c) Kuhn

   b) E F Smith

   d) T J Burril

Q1. The exit of drug from C.S.F. irrespective of its entry is by

1. Passive diffusion
2. Filtration
3. Facilitated diffusion
4. All of the above

Q2. The number of half-lives required to reach 99% of steady state concentration is

1. 3.3
2. 4.4
3. 5.5
4. 6.6

Q3. The receptor concept was first introduced by

1. J.N. Langley in 1878
2. Simonis in 1964
3. Paul Ehrlich in 1926
4. Walksman in 1826

This chapter introduces the integration of Geographic Information Systems (GIS), remote sensing, and artificial intelligence (AI) for modern forest monitoring and management. It explains how remote sensing provides spatially continuous information, GIS functions as a spatial database and decision-support environment, and AI and machine learning enable prediction and pattern recognition. Applications include forest inventory, carbon estimation, biodiversity assessment, forest-fire detection, insect monitoring, and disturbance mapping. The chapter also examines GeoAI, smart forestry, emerging technologies, data challenges, and future opportunities such as cloud-based geospatial platforms and explainable AI.

Since the dawn of the Industrial Revolution, mankind has been introducing numerous hazardous compounds into the environment at an exponential rate.  Environmental pollutants have become a major global concern. The modern growth of industrialization, urbanization, modern agricultural development, energy generation, have resulted in indiscriminate exploitation of natural resources for fulfilling the human desires and need, which have contributed in disturbing the ecological balance on which the quality of our environment depends.
 
Technological revolution has brought new changes in products and processes in industry. The waste generated from the development of products and processes are of concern to the environmental list. A variety of pollutants such as heavy metals, xenobiotics, polycyclic aromatic hydrocarbons (PAHs), chlorinated and nitro-aromatic compounds are found to be highly toxic, mutagenic and carcinogenic for living organisms (Zhang and Bennett. 2005; Samanta et al., 2002).

There are various weather hazards that affect agricultural productions. These hazards affect crops and agricultural productivity negatively if they are not checked. Weather hazards include cyclones, droughts, floods, hailstorms, heatwaves and cold-waves. The hazard is distinguished from an extreme event and a disaster. An extreme event is simply an unusual event; it does not necessarily cause harm. A disaster is an event that does cause harm in significant amounts. Weather hazards are often called as natural hazards. The natural hazards become natural disasters when people’s lives and livelihoods are destroyed. Hydrologic hazards are the result of either excess or a severe lack of water, i.e., flood or drought. By issuing accurate forecasts and warnings in a form that is readily understood and by educating people about how to prepare against such hazards, before they become disasters, lives and property can be protected.

DROUGHT

Drought is a relative term used with reference to deficiency of rainfall when compared to normal rainfall of a given location. However, drought cannot be defined in terms of amount of rainfall or number of days without rain. Since ancient times droughts have had far-reaching effects on humankind by causing the failure of crops, decreasing natural vegetation, and depleting water supplies. Drought is different from other hazards; in that it develops slowly. It is a hazard that requires many months to emerge and that may persist for many months or years thereafter. This type of hazard is known as a ‘creeping’ hazard. Generally, this occurs when a region receives consistently below average precipitation.

12.1 Introduction

There is no other pair of words except the pair “Multi-Collinearity” which is more misused both in “Econometric Texts” and in “Applied Literature”. In many practical problems, many of our explanatory variables are found to be highly correlated among themselves.

One of the assumptions of the “classical linear regression model (CLRM) is that there is no “Multicolinearity” among the regressor variables included in the regression model.

Sustainability refers to productive performance of a system over time. It implies use of natural resources to meet the present needs without jeopardizing the future potential. The Technical Advisory Committee of the Consultative Group of International Agricultural Research has defined sustainability as “Successful management of resources for agriculture to satisfy changing human needs while maintaining or enhancing the quality of the environment and conserving natural resources” (TAC, 1989). A sustainable system must be sustainable both ecologically and economically.

During the past several decades, production of horticultural crops has undergone a tremendous change in both developed and developing countries due to the development and use of fertilizers, pesticides, mechanization, soil fumigation, container production in soil-less media, breeding, micropropagation, pathogen elimination and a number of other innovations for attaining its future stability and sustainability. Recently, in modern horticulture, enhanced productivity depends heavily on inputs of fertilizers and pesticides to maintain an economic level of productivity. On the other hand, social and economic pressures are demanding that agricultural/horticultural practices, that have a damaging impact on the environment and pose risk to health of mankind, be curtailed. Thus throughout the world, agriculture including horticulture is at crossroads in terms of its future stability and sustainability. The solution for the above lies in developing new technology with reduced use of fertilizer and pesticides besides maintaining a sustainable level of productivity. The increased concern about the sustainability and undesirable side-effects of chemistry-based agriculture is prompting many researchers to more seriously evaluate alternative approaches. One such effort was put forth in the management of microbes that live in the rhizosphere soil around the roots of nearly all terrestrial plants. It has been believed that the main orchestrators of microbial activity in the rhizosphere are mycorrhizal fungi.