Examples of Article X in the following topics:
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- Website: Planning forms, student handouts, rubrics, and articles for educators to download and use to design, assess, and manage projects from The Buck Institute for Education http://www.bie.org/tools/freebies
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- This area is represented by the probability P ( X < x ) .
- The area to the right is then P ( X > x ) = 1 − P ( X < x ) .
- Remember, P ( X < x ) = Area to the left of the vertical line through x.
- P ( X > x ) = 1 − P ( X < x ) = .
- P ( X < x ) is the same as P ( X ≤ x ) and P ( X > x ) is the same as P ( X ≥ x ) for continuous distributions.
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- $\displaystyle{x'_\lambda=\frac{e^{\lambda log(x)}-1}{\lambda} \approx \frac{(1+\lambda log(x) + \frac{1}{2}\lambda^2 log(x)^2 + ...)-1}{\lambda} \rightarrow log(x)}$
- In the top row, the choice λ = 1 simply shifts x to the value x−1, which is a straight line.
- In the article on q-q plots, we discuss how to assess the normality of a set of data,
- In the second row, xʹ is plotted against log(x).
- Examples of the Box-Cox transformation versus log(x) for −2 < λ< 3.
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- Be on the lookout for phrases like: "X writes that _____, however…"; "It may be tempting to agree with X, but…; "Following X…; "X provides a useful description of…"
- Be on the lookout for phrases like: "X writes that _____, however…"; "It may be tempting to agree with X, but…; "Following X…; "X provides a useful description of…".
- Some texts may have a sentence that begins with something like "This article will demonstrate
- Some scholarly articles are particularly arduous and require slow, repetitive reading to understand the argument of the author.
- In many scholarly articles, as it should be within your own work, authors will not introduce a quote into a text unless they feel it provides something important to their larger argument.
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- for $\left | x \right | \leq 1$ (unless $x = -1$).
- Substituting $x − 1$ for $x$, we obtain an alternative form for $\ln(x)$ itself:
- $\ln(x) = (x - 1) - \dfrac{(x - 1)^{2}}{2} + \dfrac{(x - 1)^{3}}{3} - \cdots$
- for $\left | x -1 \right | \leq 1$ (unless $x = 0$).
- Here is an example in the case of $g(x) = \tan(x)$:
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- For $0 < x < \frac{ \pi}{2}$, $\sin x < x < \tan x.$
- $\displaystyle{\lim_{x \to 0} \left ( \frac{x}{\sin x} \right ) = 1}$
- $\displaystyle{\lim_{x \to 0} \left ( \frac{\sin x}{x} \right ) = 1}$
- $\displaystyle{\frac{(1−\cos x)(1+\cos x)}{x(1+\cos x)}=\frac{(1−\cos^2x)}{x(1+\cos x)}=\frac{\sin^2x}{x(1+\cos x)}= \frac{\sin x}{x} \cdot \frac{\sin x}{1+\cos x}}$
- $\displaystyle{\lim_{x \to 0}\left ( \frac{\sin x}{x} \frac{\sin x}{1 + \cos x} \right ) = \left (\lim_{x \to 0} \frac{\sin x}{x} \right ) \left ( \lim_{x \to 0} \frac{\sin x}{1 + \cos x} \right ) = \left (1 \right )\left (\frac{0}{2} \right )= 0}$