Lec 01 proposition (Discrete Mathematics)
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The document summarizes key topics to be covered in Lecture 01 on discrete mathematics including: propositions which are statements that are either true or false; truth tables; logical operators like conjunction, disjunction, exclusive OR, and implication; bi-conditional statements; compound propositions; precedence of logical operators; translating sentences; and Boolean searches and bit operations. Examples of propositions and non-propositions are provided.
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like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
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Lec 01 proposition (Discrete Mathematics)
- 1. LECTURE 01
- 2. Textbook Discrete Mathematics & Its Applications - Kenneth H. Rosen
- 3. Topics to be covered today Proposition Truth Table Conjunction & Disjunction Exclusive OR & Implication Bi-conditional Statement Compound Propositions Logical Operator Precedence Translating Sentences Boolean Searches Bit Operation
- 4. Proposition A Proposition is a Statement that is Either True or False For Example: 1. Washington, D.C., is the capital of the United States of America 2. Toronto is the capital of Canada 3. 1 + 1 = 2 4. 2 + 2 = 3
- 5. Proposition Sentences that are NOT Propositions 1 & 2 are Not Propositions Because they Don’t conclude anything 3 & 4 are Not Propositions Because ‘x’ can be Anything
- 6. Truth Table Here ‘ ¬ ’ is Negation Operator
- 8. Exclusive OR & Implication
- 14. Boolean Searches
- 15. Bit Operations