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LaTeX:Symbols

LaTeX:Symbols
From AoPSWiki This article will provide a short list of commonly used LaTeX symbols. Operators Relations Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. To use other relations not listed here, such as =, >, and <, in LaTeX, you may just use the symbols on your keyboard. Greek Letters Headline text Arrows (For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.) Dots Accents When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents: \tilde and \hat have wide versions that allow you to accent an expression: Others Command Symbols Some symbols are used in commands so they need to be treated in a special way. (Warning: Using \$ for will result in . European Language Symbols Bracketing Symbols (\frac{a}{x} )^2 the parentheses don't come out the right size: gives Examples

Sampling Terminology « PreviousHomeNext » As with anything else in life you have to learn the language of an area if you're going to ever hope to use it. Here, I want to introduce several different terms for the major groups that are involved in a sampling process and the role that each group plays in the logic of sampling. The major question that motivates sampling in the first place is: "Who do you want to generalize to?" Or should it be: "To whom do you want to generalize?" In most social research we are interested in more than just the people who directly participate in our study. Once you've identified the theoretical and accessible populations, you have to do one more thing before you can actually draw a sample -- you have to get a list of the members of the accessible population. People often confuse what is meant by random selection with the idea of random assignment. Copyright �2006, William M.K.

LaTeX To create a LaTeX image, go to and enter the command string as \[ command string ]\ Symbols in LaTeX * As rendered in your browser. Examples is generated by \[\sum_{i=1}^{n}\] is generated by \[\sum_{i=3}^{11}x^2\] is generated by \[\prod_{x\in(x)}\cos x^2\] -- note \cos rather than cos so LaTeX knows it's a function, and doesn't italicize it. is generated by \[ \lim_{x\to\infty} \int_0^{4{\pi}} \binom{n+m}{n-m} \sqrt[3]{\frac{2 + \cos x}{2 - \sin x}} dx \] note the optional [3] to make the cube root note: \limsup, \liminf, \sup, \inf work the same as \lim, changing only the word(s) displayed. is generated by \[\mathbb{R\quad Q\quad Z}\] blackboard bold font for reals, rationals, integers \[ \left|\sum_{i=1}^n a_ib_i\right| \le \left(\sum_{i=1}^n a_i^2\right)^\frac{1}{2} \left(\sum_{i=1}^n b_i^2\right)^\frac{1}{2} \] is generated by \[ H(x)=\left\{\begin{array}{cl} 0, & x<0 \\ 1, & x\geq 0 \end{array}\right. \] Internet references

Develop Willpower Details Category: Chuck Gallozzi Published on Sunday, 19 April 2009 19:46 Written by Chuck Gallozzi He who lives without discipline dies without honor If we are to be the master of our destiny, we need self-discipline, self-control, willpower, or self-mastery. However, not everyone wants to improve. All right, so we agree willpower is necessary, but how do we strengthen it? You can also deliberately do what you'd rather not. Suppose I were to place a 15-foot long by 2-foot wide plank, 6 inches above the ground and offer you $500 to walk across it, would you do so? Another hurdle for willpower to overcome is the extra effort that is needed when doing something unpleasant. We know what is best for us.

Can I define a new unit that behaves like \ang in siunitx Constructivism Definition Constructivism is a philosophy of learning founded on the premise that, by reflecting on our experiences, we construct our own understanding of the world we live in. Each of us generates our own “rules” and “mental models,” which we use to make sense of our experiences. Discussion There are several guiding principles of constructivism: 1. How Constructivism Impacts Learning Curriculum–Constructivism calls for the elimination of a standardized curriculum. Instruction–Under the theory of constructivism, educators focus on making connections between facts and fostering new understanding in students. Assessment–Constructivism calls for the elimination of grades and standardized testing. Reading Jacqueline and Martin Brooks, The Case for Constructivist Classrooms.

Cisco Icons for network diagrams People with a Situational Value System & Workplace Psychology - StumbleUpon Photo Credit: Post Secret Archive The other night, my wife and I were at a very nice hotel here in the Dallas/Ft. Worth area. We went with our family to enjoy a show and prior to attending it, decided to get some coffee. As we were standing in line waiting (we were second in line) at a busy one-person coffee stand, the woman waiting behind us (she was third in line) yelled out, “Can I go ahead and pay for this?” It didn’t matter to her that two other people (the first lady in line and us) were ahead of her in this ordering process. I forgot what “this” was. My wife and I both used to work as waiters and thus we’re especially sensitive to and aware of how we (and others often) treat waiters, waitresses, or anyone in a people service profession (e.g., hotel maids, bellmen, etc.). I didn’t know it at first, but quickly realized, as the other wait staff informed me, that I was waiting on a baseball celebrity and his family. References Barry, D. (1998). Jones, D. (2006, April 17). Like this:

47 Mind-Blowing Psychology-Proven Facts You Should Know About Yourself - StumbleUpon I’ve decided to start a series called 100 Things You Should Know about People. As in: 100 things you should know if you are going to design an effective and persuasive website, web application or software application. Or maybe just 100 things that everyone should know about humans! The order that I’ll present these 100 things is going to be pretty random. So the fact that this first one is first doesn’t mean that’s it’s the most important.. just that it came to mind first. Dr. <div class="slide-intro-bottom"><a href="

Psychopathic Traits Linked to Brain Reward System - NIH Research Matters March 29, 2010 People who scored high on a test that measures impulsive and antisocial traits had exaggerated brain responses to certain “rewards,” like winning money or taking stimulant drugs. The new study provides evidence that a dysfunctional brain reward system may underlie vulnerability to a personality disorder known as psychopathy. Impulsive and antisocial personality traits correlate with amphetamine-induced dopamine release (red and yellow) in the brain. Image by Buckholtz et al. Psychopathy is characterized by a combination of superficial charm, manipulative and antisocial behavior, impulsivity, blunted empathy and shallow emotional experiences. Many studies of psychopathy have focused on the emotional and interpersonal aspects of the disorder, like lack of fear and empathy. In one experiment, the researchers used positron emission tomography (PET) to image the brain’s dopamine response when participants received a low oral dose of amphetamine.

- StumbleUpon And enhancing cognitive prowess later in life could naturally influence one's openness to new experiences, according to a new set of studies. VLADGRIN/Shutterstock Every day it seems like researchers are discovering something else that overturns long-held notions about how the brain operates. In contrast to conventional wisdom, for example, the brain is able to form new neural connections into young adulthood. Now, a new study shows that mental abilities can be boosted -- and aspects of personality enhanced -- well into one's golden years. Seniors from 60 to 94 years old were split into two groups: One group was assigned to a 16-week course of brain puzzles, completed at home; the other received no special treatment. The brain games challenged the participants' inductive reasoning skills: for example, finding patterns in numbers and letters, along with crossword puzzles and Sudoku puzzles.

The Reality of Repressed Memories In 1990, a landmark case went to trial in Redwood City, California. The defendant, George Franklin, Sr., 51 years old, stood trial for a murder that had occurred more than 20 years earlier. The victim, 8-year-old (Susan Kay Nason, was murdered on September 22, 1969). Franklin's daughter, Eileen, only 8 years old herself at the time of the murder, provided the major evidence against her father. What was unusual about the case is that Eileen's memory of witnessing the murder had been repressed for more than 20 years. Eileen's memory did not come back all at once. Eileen's memory report was believed by her therapist, by several members of her family, and by the San Mateo County district attorney's office, which chose to prosecute her father. Eileen's detailed and confident memory impressed a number of people. On the other hand, the clinical anecdotes and the loose theory used to explain them remain unconvincing to some psychotherapists and to many laboratory researchers. Popular Articles

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