query: Infinitesimal Values
positive_passages.docid: 286
positive_passages.text: Is it true that $0.999999999\ldots=1$?
negative_passages.docid: 12547
negative_passages.text: Is it okay to "ignore" small numbers in limits where $x$ approaches infinity?
negative_passages.docid: 94433
negative_passages.text: Rigorous underpinnings of infinitesimals in physics
negative_passages.docid: 34387
negative_passages.text: Is the number of irreducibles in any number field infinite?
negative_passages.docid: 81250
negative_passages.text: Infinitude of prime numbers
negative_passages.docid: 138977
negative_passages.text: Infinitely many rational numbers between two different real numbers
negative_passages.docid: 17886
negative_passages.text: Values of square roots
negative_passages.docid: 132525
negative_passages.text: Real Numbers Raised to Imaginary Powers?
negative_passages.docid: 65515
negative_passages.text: How to treat differentials and infinitesimals?
negative_passages.docid: 78576
negative_passages.text: How to write “there exists an infinite number of”?
negative_passages.docid: 63315
negative_passages.text: Limit to infinity and infinite logarithms?
negative_passages.docid: 96729
negative_passages.text: Changing the values of an integrable function $f:[a,b] \to \mathbb R$ countably infinitely many points not a dense subset of $[a,b]$
negative_passages.docid: 68976
negative_passages.text: Given real numbers: define integers?
negative_passages.docid: 137564
negative_passages.text: What exactly is meant by infinity?
negative_passages.docid: 86194
negative_passages.text: Infinite series with the binomial coefficient
negative_passages.docid: 27567
negative_passages.text: What is zero times infinity?
negative_passages.docid: 125821
negative_passages.text: Evaluating limits at positive and negative infinity