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Common Core Algebra 1 Unit 4 Functions Chapters List |

Hi Students, Welcome to Amans Maths Blogs (AMB). In this article, you get the full details of Common Core Algebra 1 Unit 4 Functions Chapters List and Summary. It means,

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S Chand ICSE Maths Solutions for Class 10 Chapter 4 Linear Inequations Exercise 4

Hi students, Welcome to Amans Maths Blogs (AMB). In this post, you will get S Chand ICSE Maths Solutions for Class 10 Chapter 4 Linear Inequations in One Variable Exercise 4.

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Helpful Resources in Learning Latex

I am being serious of using Latex to the point that I’m going to use it to create our next booklet at work and in my next presentations, so I began learning about it a few months ago. In this post, I’m going to share with you the resources that I have been using in learning it which I found extremely helpful.

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Framework for Teaching with Technology

In the previous post, I have shared with you about our two on the job trainees (OJTs) whom I trained for six weeks. They are currently studying BS in Secondary Education major in Mathematics. They are going to graduate next year and one of the requirements to graduate is a 6-week on the job training related to teaching.

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Solving Rational Inequalities and the Sign Analysis Test

In this post, we are going to learn the steps in solving rational inequalities and see why we are doing them. For discussion’s purposes, let’s take the inequality

dfrac{x - 1}{x^2 - 25} geq 0dfrac{x - 1}{x^2 - 25} geq 0

as an example.  In solving rational inequalities, first we get its critical values,

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Assignments with the New ST Math

ST Math is all new for the 2020-2021 school year and we’ve had a blast revealing what we’re most excited about. We’ve shared how the new ST Math enables more learning and empowers students through individual goal accountability.

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Analytic functions cannot approximate indicator functions

Devil's Tower in MontanaDevil's Tower in Montana

Very often what cannot be done exactly can be done approximately. For example, most integrals cannot be computed in closed form, but they can be calculated numerically as closely as you’d like. But sometimes things are impossible, and you can’t even come close.

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Advantages of not using the best tool for the job

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I don’t recall where I read this, but someone recommended that if you need a tool, buy the cheapest one you can find. If it’s inadequate, or breaks, or you use it a lot, then buy the best one you can afford. (Update: Thanks to Jordi for reminding me in the comments that this comes from Kevin Kelly.)

If you follow this strategy,

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Time spent on lunar surface

Lunar module and lunar rover, photo via NASALunar module and lunar rover, photo via NASA

This post will illustrate two things: the amount of time astronauts have spent on the moon, and how to process dates and times in Python.

I was curious how long each Apollo mission spent on the lunar surface, so I looked up the timelines for each mission from NASA.

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Conceptual vs Numerical

One of the things that makes numerical computation interesting is that it often reverses the usual conceptual order of things, using advanced math to compute things that are introduced earlier.

Here’s an example I recently ran across [1]. The hyperbolic functions are defined in terms of the exponential function:

begin{align*} sinh(x) &= frac{exp(x) - exp(-x)}{2} \ cosh(x) &= frac{exp(x) + exp(-x)}{2} \ tanh(x) &= frac{exp(x) - exp(-x)}{exp(x) + exp(-x)} \ end{align*} begin{align*} sinh(x) &= frac{exp(x) - exp(-x)}{2} \ cosh(x) &= frac{exp(x) + exp(-x)}{2} \ tanh(x) &= frac{exp(x) - exp(-x)}{exp(x) + exp(-x)} \ end{align*}

But it may be more efficient to compute the exponential function in terms of hyperbolic functions.

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