eChapters

In mathematics, we use different type of digits called numbers. These numbers may be real, natural, rational, irrational, composite and complex, imaginary, perfect, positive and negative integers, whole number, prime and co prime numbers and even-odd numbers and make students confused. Therefore the concept of numbers should be very clear to the students so that they may answer the questions easily.

The number system mainly into classified into 8 types.

Importance of nutrient management in crop production can be very well explained by conducting various field trails by different fertilizer nutrient, methods of application and sources of fertilizer. Experiments on nutrient management are being carried out to study the impact of nutrient application, new techniques of fertilizer application, sources and doses of fertilizers on plant growth, yield and soil fertility and their efficiency over existing one was elucidated through various efficiency indices. The following efficiencies are normally being used in nutrient management studies.

Nyctanthes, commonly known as Harsingar or Parijata, is an important flowering shrub valued for its fragrant white flowers with orange centres. The flowers have long-standing cultural and religious significance and are traditionally collected for worship and other uses. This chapter presents the botanical identity, origin, distribution, genetics and characteristics of Harsingar. It discusses suitable climate and soil conditions, propagation, planting, nutrient management, irrigation and cultural practices. The chapter also covers pests and diseases affecting the crop and provides information on flower harvesting, particularly the importance of morning collection. Postharvest management, yield and traditional and modern uses of Harsingar flowers are included to support commercial and practical understanding

1.    Operations Research provides ___________.

(a) Earliest solution

(b) Feasible solutions

(c) Scientific approach to solutions

(d) Statistical approach to solutions

2.    Operations Research totally eliminates ___________.

(a) Quantitative approach

(b) Intuitive approach

(c) Qualitative approach

(d) Decision makers ability

Introduction

The global food system is anticipated to supply safe and nutritious food to a population that is expected to increase from 7.5 billion now to approximately 10 billion by 2050. Not only will there be more mouths to feed, but as incomes rise in rising and developing nations, demand for meat, fish, and dairy will rise as well (Brooks et al., 2019). Demand for agricultural commodities is rising rapidly as the world's population grows. Agriculture’s deep connections to the world economy, human societies, and biodiversity make it one of the most important frontiers for conservation around the globe (world wildlife).

Today's connected world has given entrepreneurs millions of new places to start small businesses, and the Internet has a lot of information to help them. Also, the internet has made it easier for business owners to connect with their peers, learn from their mistakes, and use their good decisions as a guide for their paths.

Introduction Insects are the largest group of individuals in the phylum Arthropoda. They are the most dominant species on earth, as they originated 480 million years ago. Insects account for damage to agriculture produced through pest incidence; they also render benefits through pollination services, reduction in pest population as natural enemies, and various other services. Utilisation of beneficial insects like silkworms, honeybees, and lac insects for their products was well known to Indian people way back. In the current chapter, opportunities for the utilisation of some of these beneficial insects for emerging businesses are discussed.

Insect farming

By 2050, there will be a 60% increase in the global need for proteins, driven by the unrelenting growth of the human population. What is very disturbing is that present protein manufacturing uses very unsustainable methods, in addition to this exponential increase. The ecosystem is under a lot of stress from traditional farming practices, which also contribute to the loss of already depleted wild fish species and water supplies. By 2050, there will be 10 billion people on the planet, and to feed them sustainably, new farming options such as insect farming will be necessary. Due to their rapid rates of reproduction and high protein content, insects are extremely simple to produce (Igini, 2022).

Introduction

Green revolution played a major role in making several counties self reliant in food production. But modern agriculture has degraded natural resources and made agriculture unsustainable. People are getting enough food, but the food is unsafe. Land, water and air have become polluted. People are suffering from the serious diseases like cancer. An alternate version of agriculture or organic farming that is necessity of the day. People are becoming health conscious day by day. There is good demand for Indian organic food in several countries. Niche areas exist for organic farming in several states of India. The Govt of India has launched several programs to promote organic farming.

1.1 Common Logarithm

Logarithms to the base 10 are called common logarithm. This system was first introduced by Briggs in 1615. The mathematician Napier was the inventor of logarithms and Briggs was a contemporary of Napier. From the equation 10x = N, it is evident that the common logarithm will not always be integral and that they will not always be positive.

We have

 3154 > 103 and 3154 < 104

 Hence, log10

 3154 = 3 + a fraction

 Again we have

0.067 > 10–2 and 0.067 < 10–1

 Hence, log10

 0.06 = –2 + a fraction

 = 2+ a fraction

9.1 Introduction and Definition

Literally, econometrics means “Economic measurements”. Although measurement is an important part of econometrics, the scope of econometrics is much broader. Econometrics is an amalgam of economic theory, mathematical economics, economic statistics and mathematical statistics. It can also be stated that “Econometrics consists of the application of mathematical statistics to economic data to provide empirical support to the model constituted by mathematical economics and to obtain numerical results from such data.

15.1 Agricultural Economics and Definition

As a separate subject, agricultural economics emerged in the beginning of 20th century when the economic issues related to agriculture aroused interest at various educational centres. The depression of 1890s which wrecked have in agriculture at many places and it forced organised farmers groups to take keen interest in farm management problems. The study and teaching of agricultural economics was started at Harvard University (U.S.A.) in 1903 by Professor Thomas Nixon Carver. Agricultural economics may be defined as the “Application of Principles & Methods of economics to study the problems of agriculture to get maximum output and profits from the use of minimum in but for the wellness of society in general as well as the farming industry in Particular.

6.1 Introduction

Let

v : Represents the volume of a gas.

p : Represents the pressure of a gas.

t : Represents the absolute temperature.

The law is represented by the relation writen as t v k. p ? where k is a constant.

1. Suppose the temperature varies and pressure remains constant then

2. Suppose the pressure varies and temperature remains constant then

ABSTRACT

Information Technology includes computers and communication technology along with associated software. I.T. can be defined as the technology of creation, processing, storage, retrieval and transmission of data and information. Transmission of data and information between through local national, regional and global telecommunication channels are not new to us. Computer networks have been the real facilitators of data and information interchange in the individual and corporate levels. LANS and WANS are the good examples of it. Developing countries have a critical stake in how successfully they cope with the trade, environmental, energy, healthy, agricultural, industrial, population and other challenges facing them as they enter the information age. The World is experiencing an explosive growth of IT at the moment. There have been tremendous impacts of I.T. on the trade, commerce and industries of the globe.

Basic Definitions

Percent means ‘hundred’ and the sign % is read as percentage and x % is read as x percent. In other words, a fraction with denominator 100 is called a percent. In other words, “Percent” can be understood as “per 100” or “out of 100”. Percentage in itself is a dimensionless number used to tell how many parts per hundred are being considered. It is often denoted using the percent sign, “%”. The reference point for calculating percentage is taken as 100.

For example, 20% means 20/100 (i.e. 20 parts from 100). This can also be written as 0.2.

A pipe is connected to a tank or cistern. It is used to fill (inlet) or empty (outlet) the tank. Therefore, Inlet refers to a pipe which is connected to fill a tank is known as an inlet, while outlet refeRs to a pipe which is connected to empty a tank is known as an outlet. Generally the problems on pipes and cisterns are similar to problems on time and work. In pipes and cistern problems, the amount of work done is the part of the tank of filled or emptied. And, the time taken to do a piece of work is the time taken to fill or empty a tank completely or to a desired level. Following points should be remembered to solve the probles;

Definition of advocacy, approaches to policy advocacy-advising, media campaigning, lobbying, Activism, Information Education Communication (IEC) and Behavior Change Communication (BCC), Advocacy for Rural Advisory Services (RAS), Policy advocacy strategy
Introduction
The word “Advocacy” is defined as any action that promotes, urges, justifies defends, or pleads on behalf of another person is referred to as advocacy. In all its manifestations, advocacy works to make sure that people, especially those who are most sure people, especially those who are most at risk in a group or society can:
• Have their opinions taken into account when decisions about their lives are being made
• Speak up for matters that are important to them.
• Defend and protect their rights
• Have their voice heard on key subjects.

It is a systematic method to solving problems through an examination of policy approaches.
It involves evaluating public policies, including their development, implementation and impacts, to determine their effectiveness in achieving desired outcomes. The process includes identifying relevant issues, assessing potential solutions, weighing the costs and benefits and recommending the most appropriate course of action.
Use of Policy Analysis in Decision-Making
Policy analysis combines qualitative and quantitative methods to assess policies’ implications on economic, social and political factors. It often includes stakeholder analysis, forecasting future scenarios and evaluating policy impacts using tools like cost-benefit analysis, risk assessment and statistical modeling

The policy development process is a structured approach to creating policies that address specific issues or achieve particular goals. It involves several steps, from identifying the problem to implementing and evaluating the policy
Steps of Policy Development Process
1. Problem identification
• Definition: The process of recognizing and defining an issue that requires government intervention.
• Key actors
• Public: Citizens, interest groups and communities often raise awareness about problems.
• Media: Plays a critical role in highlighting issues and shaping public opinion.
• Policymakers: Government officials, legislators and public administrators who prioritize issues.
• Experts and academics: Provide data, research and analysis that help frame problems.

Theories of Population

The theory of population is studied because the supply of labour depends upon population and its growth. Observing the abnormal growth of population and consequent fall in the standard of living, Thomas Malthus (1760-1834) an English Clergyman frst studied population growth in various countries of Europe. Later he wrote a book entitled “An Essay on the Principles of Population” in 1798. His his theory is popularly known as Malthusian theory of population. To quote the theory in his own words “By nature human food increases in a slow arithmetic ratio, man himself increases in a quick geometric ratio unless want and vice stop him”

17.1. Theories of Population
The theory of population is studied because the supply of labour depends upon population and its growth. Observing the abnormal growth of population and consequent fall in the standard of living, Thomas Malthus (1760 – 1834) an English Clergyman first studied population growth in various countries of Europe. Later he wrote a book entitled “An Essay on the Principles of Population” in 1798. His observations compelled him to foresee a gloomy future for the human race and hence emphasized the immediate need to keep the population growth under check. Now his theory is popularly known as Malthusian theory of population. To quote the theory in his own words “By nature human food increases in a slow arithmetic ratio, man himself increases in a quick geometric ratio unless want and vice stop him.”
17.1.2. Propositions of Malthusian Theory
These are briefly presented below:
1. Population is necessarily limited by means of subsistence (food supply). According to Malthus in a country the size of population depends on its food production. Greater the food production, larger would be the size of population, which a country can support and smaller the food production then the country would be in a position to support smaller population only.
2. The power of population is infinitely greater than the power in the earth to produce subsistence for men. He further adds that population growth always overtakes food production, since agricultural production is constrained by the law of diminishing returns. This prevents the food production to grow as faster as that of population. As such, there is no limit to the growth of population.
3. Population increases in geometric progression, whereas food production increases in arithmetic progression. This means that population tends to grow in quick geometric progression i.e., 1, 2, 4, 8, 16, 32, etc., while,

Introduction

The acute food shortage was a major challenge in confronting the development of the country after independence with rapidly increasing population. Massive financial assistance of credit and subsidy under various rural development programmes unveiled by government could not yield desired impact on poverty and unemployment. The benefits of farm research did not reach the resource poor farmers. Several researchers indicated that the devolution of democratic decision-making at the village level was lacking.

The major task of bridging the gap between farmers and the scientific knowledge is in the hands of extension workers who should act as “conveyer belts” in communicating appropriate scientific knowledge and skills already available to the farmer in a smooth and acceptable form and in securing the adoption of these improved techniques. They must assess the intentions prevailing in the minds of rural people, their relationships and interactions, their groups, their institutions, their organizations and the culture, which influence the behaviour at large. They need to understand their motives, reactions, receptivity to new ideas, hidden resources of rural people and social and cultural obstacles prevailing in the society with their active participation.

To elucidate the hidden facts from the well-knit social, cultural and behavioral patterns, a family of approach known as “Participatory Rural Appraisal (PRA)” techniques is widely employed to understand the existing farming situations, problems, and opportunities in the rural areas. PRA techniques can also be used in evaluation and impact assessment in agricultural and allied enterprises and projects that can indicate the success and failure to plan for better future.