• Aniruddha V Deshmukh

Articles written in Resonance – Journal of Science Education

• A Note on Vector Space Axioms

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

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.

• # Resonance – Journal of Science Education

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Volume 27 | Issue 6
June 2022

• # Resonance – Journal of Science Education | News

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