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10 Questions

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गणित के मूल सिद्धांतों पर क्विज़

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Questions and Answers

What does most mathematical activity involve?

The exploration of philosophical ideas and their application to real-world problems

The discovery of properties of abstract objects and the use of pure reason to prove them (correct)

The study of concrete objects and the use of experimental methods to understand them

The memorization of formulas and the application of algorithms

What are the major subdisciplines of modern mathematics mentioned in the text?

Arithmetic, calculus, statistics, and trigonometry

Logic, probability, calculus, and topology

Algebra, calculus, statistics, and topology

Number theory, algebra, geometry, and analysis (correct)

What do mathematical proofs consist of?

A series of experimental tests and observations

A set of random calculations and estimations

A succession of applications of deductive rules to already established results (correct)

A collection of opinions and conjectures

What are the entities in modern mathematics stipulated to have certain properties called?

Axioms Signup and view all the answers

What is the nature of the general consensus among mathematicians about a common definition for their academic discipline?

There is no general consensus Signup and view all the answers

What does the surface-area-to-volume ratio (SA:V) help explain?

The relation between structure and function in processes occurring through the surface and the volume Signup and view all the answers

What is explained by the relation between SA:V and diffusion or heat conduction rate?

Flux and surface perspective Signup and view all the answers

What processes are governed by the heat equation and are good examples for understanding SA:V?

Diffusion and heat transfer by thermal conduction Signup and view all the answers

What does SA:V help explain in biological and biotechnological structures?

Diffusion of small molecules, water loss by animals, bacterial morphogenesis, and organism's thermoregulation Signup and view all the answers

What is the importance of SA:V in the design of artificial bone tissue and artificial lungs?

Understanding the relation between structure and function in these biological structures Signup and view all the answers