• Aniruddha V Deshmukh

      Articles written in Resonance – Journal of Science Education

    • A Note on Vector Space Axioms

      Aniruddha V Deshmukh

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      In this article, we will see why all the axioms of a vector space are important in its definition. During a regular course, when an undergraduate student encounters the definition of vector spaces for the first time, it is natural for the student to think of some axioms as redundant and unnecessary. In this article, we shall deal with only one axiom 1 · v = v and its importance. In the article, we would first try to prove that it is redundant just as an undergraduate student would (in the first attempt), and then point out the mistake in the proof, and provide an example which will be sufficient to show the importance of the axiom.

    • Arbitrary vs. Random

      Aniruddha V Deshmukh

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      In this article, we try to see the difference between the two words—‘arbitrary’ and ‘random’, which often confuse students. The article is a product of discussions with my batch-mates and juniors who have raised the question, “What isthe difference between arbitrary and random?” and “When should we use the word arbitrary and what is its significance?” The article tries to address these questions in general.

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