Blogs about: Intermediate Value Theorem

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A real theorem!

Stephen McCormick wrote 1 month ago: Today, you too get to learn what my real analysis students are doing in class. The intermediate valu … more →

Tags: Math 2, Math, Analysis

Topology: Connected Spaces

limsup wrote 2 months ago: Let X be a topological space. Recall that if U is a clopen (i.e. open and closed) subset of X, then  … more →

Tags: notes, Advanced, Topology, product topology, connected spaces, Box Topology, connected components, totally disconnected spaces

Teaching Through Concrete Examples: The Intermediate Value Theorem12 comments

Bowman Dickson wrote 7 months ago: I’ve been getting pretty into cognitive science lately. I realize some of it is useless, and a … more →

Tags: Calculus, Teaching, Concrete, examples, IVT

Theorems

Lin McMullin wrote 9 months ago: Theorems are statements that summarize the results that are true in mathematics. Theorems are statem … more →

Tags: Writing and reading, Theorems, IVT

The New Clayden pp. 222 - 2681 comment

luysii wrote 11 months ago: p. 228 A picture of a Dean Stark head would be useful.  p. 230 — Second paragraph from the bot … more →

Tags: Chemistry (relatively pure), Clayden's Book, Math, Philosophical issues raised, Cauchy sequence, Transition State???

Portsmouth, the car, and the intermediate value theorem

Peter wrote 1 year ago: I took L back to Portsmouth at the weekend. At 1000 the odometer read 99951, and at 1800 it read 100 … more →

Tags: Odometer, 100000 miles

The Power Of Near Enough

Joseph Nebus wrote 1 year ago: Now here’s another great tool Chiaroscuro did, in figuring out what number raised to the fifth … more →

Tags: Analysis, Math, meaningless precision, Repeating Digits, decimal point

The Intermediacy That Was Overused 3 comments

Joseph Nebus wrote 1 year ago: However I may sulk, Chiaroscuro did show off a use of the Intermediate Value Theorem that I wanted t … more →

Tags: Recreational Mathematics, Math, continuity, probability, Intro Calculus, continuous function, roots, folklore

An Overused Intermediacy

Joseph Nebus wrote 1 year ago: I had wanted to talk about the Intermediate Value Theorem, since it’s one of those little util … more →

Tags: Recreational Mathematics, Math, Richard Courant, Herbert Robbins, Antipodes, Bolzano, Google, center of the earth

Existence of Numbers Satisfying Integral Equations

Johan wrote 1 year ago: Problem? Let be continuous functions. (a) Prove that there exists such that . (b) If , prove that th … more →

Tags: Analysis, Real Analysis, mean value theorem, Rolle's Theorem, cauchy's mean value theorem

Function Takes Every Value n Times

Johan wrote 1 year ago: Problem? Prove that if is even, then there is no continuous which takes on every value exactly times … more →

Tags: Analysis, Calculus, Real Analysis, Extreme Value Theorem

My Topological Trip To Baguio

Bobby Corpus wrote 2 years ago: Last weekend, we went up to Baguio, the summer capital of the Philippines, to escape the summer heat … more →

Tags: Math, Leisure, Travel, topology, Topology, Baguio, Brouwer's Fixed Point Theorem, Rubber Sheet Geometry, continuous function

Musings of a single variable, pt. 1

mlbaker wrote 2 years ago: In this post I’m going to explore several theorems that are generally agreed to be the most im … more →

Tags: Analysis, Extreme Value Theorem, mean value theorem, L'Hopital's Rule

IVT

textposter wrote 3 years ago: If f(x) is continuous on [a,b] then f takes on all values between f(a) and f(b). … more →

Tags: Uncategorized


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