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My Math Blog | "A topnotch WordPress.com site" | pqnelson.wordpress.com Reviews
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Some Useful Trigonometric Limits | My Math Blog
https://pqnelson.wordpress.com/2012/06/04/some-useful-trigonometric-limits
A topnotch WordPress.com site. Differentiating Trigonometric Functions →. Some Useful Trigonometric Limits. June 4, 2012. Before I discuss differentiating trigonometric functions, we should probably review a few key useful limits. We will use some statements that may or may not be obvious. We will consider a function (called the “sinc” function). Lets think about it. Well, we know that. Thus we have our limit bounded. We rewrite this to stress the boundedness:. This is one important limit. What to do now?
Contents | My Math Blog
https://pqnelson.wordpress.com/contents
A topnotch WordPress.com site. I realize a blog format isn’t ideal for writing mathematical notes, especially if I need to recall something I wrote about ages ago. So this page just keeps track of the material I’ve written about. 11 Calculus in a Single Variable. Including elementary algebra and naive set theory. Analytical Table of Contents. Calculus in a Single Variable. Specifically their convergence or divergence. Series Convergence: What Does It Mean? The Definition of Convergence for Series. Fill i...
Bibliography | My Math Blog
https://pqnelson.wordpress.com/bibliography
A topnotch WordPress.com site. If I use a resource, I usually cite it in the post where the resource is used. However, sometimes I use it for multiple posts, and don’t mention it anywhere. So I list the references here. On Euler’s footsteps. EV Shchepin’s Uppsala Lectures on Calculus. Michael Corral’s ebook Vector Calculus. Oregon State’s Vector Calculus Study Guide. University of Utah’s Supplements to Vector Calculus. Dmitry Fuchs and Serge Tabachnikov’s. Gravner’s Lecture Notes for Math 135. Springer G...
Tangent Lines as Linear Approximations | My Math Blog
https://pqnelson.wordpress.com/2012/06/03/tangent-lines-as-linear-approximations
A topnotch WordPress.com site. March of the Goblins →. Tangent Lines as Linear Approximations. June 3, 2012. So we have some procedure. To construct a line tangent to a curve at a given point. What good is it? Well, suppose we want to compute. I don’t know! Lets introduce the function. Then we want to evaluate. The line tangent to. Then make an approximation. Lets see if this really works. We calculate. Is this a good approximation? I don’t know, how can we find out? Well, basic arithmetic tells us.
Definition of Derivatives | My Math Blog
https://pqnelson.wordpress.com/2012/06/01/definition-of-derivatives
A topnotch WordPress.com site. Puzzle: Network Theory, Petri Nets →. June 1, 2012. We give the definition of differentiating a function of a single real variable, motivated by infinitesimals. But we use rigor and Big O notation. Consider some linear function. For some nonzero real number. And an arbitrary real number. We can calculate the slope by considering. Some constant “shift” in. Is read as “the change in. 8220;), and using this to figure out the change in. Well, we plug in the definition of. Histo...
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theartofmodelling.wordpress.com
Do we need to derive mechanistic error distributions for deterministic models? | Just Simple Enough: The Art of Mathematical Modelling
https://theartofmodelling.wordpress.com/2012/05/28/do-we-need-to-derive-mechanistic-error-distributions-for-deterministic-models
Just Simple Enough: The Art of Mathematical Modelling. Exploring the secrets of successful mathematical models. Skip to primary content. Do we need to derive mechanistic error distributions for deterministic models? May 28, 2012. Do mechanistic, deterministic mathematical models necessarily have to have error distributions that are mechanistically derived? Measurement error: y(t) = f(x(t), b) e. Process (or demographic) error: y(t) = f(x(t) e, b). A second justification of the simple approach, could be t...
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Object Oriented Kool Aid
Object Oriented Kool Aid. Ramblings and various notes by a file system programmer on programming. Sunday, October 14, 2012. Databases, Part 1: Components. So I've been using databases recently, and wanted to write a series of notes on them. What's going on "under the hood" in a database. Compare various engines (SQL vs. NoSQL vs. etc.). How to code a database engine from scratch. How to optimize a given database engine (e.g., "How do I tune MySQL? 12 Topics Discussed in the Series. So, suppose we're prog...
My Math Blog | "A topnotch WordPress.com site"
A topnotch WordPress.com site. Index] Calculus in a Single Variable. October 26, 2013. Differential Calculus in a Single Variable. Using big O notation. Line Tangent to a Curve. Tangent Lines as Linear Approximations. Some Useful Trigonometric Limits. The inverse function to the exponential mapping. The First Derivative Test. An example optimizing a rectangle’s area. Curve Sketching (General Scheme). L’Hopital’s Rule for Limits. Differentiation Technique #1: Logarithmic Differentiation. I am going to fin...
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