DIFFERENTIABILITY IMPLIES CONTINUITY - A QUESTION ABOUT THE PROOF
Jun 6, 2015 In my mind it seems to say, if a function is continuous, we can show that if it is also differentiable, then it is continuous. Rather than what I was expecting, namely, if a function is … From bing.com
PROOF THAT THE CONTINUOUS IMAGE OF A COMPACT SET IS COMPACT
I know that the image of a continuous function is bounded, but I'm having trouble when it comes to prove this for vectorial functions. If somebody could help me with a step-to-step proof, that … From bing.com
WHAT DOES IT MEAN THAT "EVERY METRIC IS CONTINUOUS"?
Jun 11, 2025 6 "Every metric is continuous" means that a metric $d$ on a space $X$ is a continuous function in the topology on the product $X \times X$ determined by $d$. From bing.com
DIFFERENCE BETWEEN CONTINUITY AND UNIFORM CONTINUITY
Jan 27, 2014 To understand the difference between continuity and uniform continuity, it is useful to think of a particular example of a function that's continuous on $\mathbb R$ but not … From bing.com
PROOF OF CONTINUOUS COMPOUNDING FORMULA - MATHEMATICS STACK …
Following is the formula to calculate continuous compounding A = P e^(RT) Continuous Compound Interest Formula where, P = principal amount (initial investment) r = annual interest … From bing.com
WHAT IS A CONTINUOUS EXTENSION? - MATHEMATICS STACK EXCHANGE
To find examples and explanations on the internet at the elementary calculus level, try googling the phrase "continuous extension" (or variations of it, such as "extension by continuity") … From bing.com
CONTINUOUS SURJECTION $\MATHBB R^M\TO \MATHBB R^N$ THAT IS NOT …
Jul 27, 2024 In fact, it turns out that every continuous function from a path connected space to $\mathbb R$ is a quotient map Note that the closed map lemma cannot be generalised, for … From bing.com
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