# Friendly lessons for lasting insight.

Ratios summarize a scenario with a number, such as “income per day”. Unfortunately, this hides the explanation for how the result came about. For example, look at two businesses: Annie’s Art Gallery sells a single, \$1000 piece every dayFrank’s Fish Emporium sells 250 trout at \$4/each every day By the numbers, they’re identical \$1000/day operations, right? Trig mnemonics like SOH-CAH-TOA focus on computations, not concepts:

Stormia - Live hi-res weather radar map for {city}, United States Forecasted data is based on the HRRR model from NOAA, which is real-time 2 miles resolution, hourly updated, cloud-resolving, convection-allowing atmospheric model, initialized by 2 miles grids with 2 miles radar assimilation. Radar data is assimilated in the HRRR every 15 min over a 1-h period adding further detail to that provided by the hourly data assimilation from the 8 miles radar-enhanced Rapid Refresh. For real-time data we are ingesting radar data every 15 minutes, together with lightning strike measurements and satellite imagery. Example 1: The Natural Base Plotted below are two familiar exponential functions: and On the interval shown, we see that 2x begins with a slight head start in value, but 3x quickly outgrows it, overtaking 2x at We also see that the larger the values of each function, the faster they grow. Said geometrically: Both curves are steeper the further up you go. It is interesting to compare the average growth rates of these two functions at different points.

Simplifying with Nested Parentheses Simplifying with Nested Parentheses (page 2 of 3) Parentheses inside of parentheses are called "nested" parentheses. The process of simplification works the same way as in the simpler examples on the previous page, but you do need to be a little more careful as you work your way through the grouping symbols. Beyond Minecraft: Games That Inspire Building and Exploration By Tanner Higgin, Graphite The success and popularity of Minecraft in and out of classrooms is no surprise. It’s one of the best examples of the potential of learning with games because it embraces exploration, discovery, creation, collaboration, and problem-solving while allowing teachers to shepherd play toward any subject area. But Minecraft is not the only game of this kind. Take a look at some of these.

Yuri Manin - Science Lives - Simons Foundation Yuri I. Manin’s richly diverse body of work justifies the term “Universal Mathematician.” In an academic landscape defined by discrete specialties, this work, as mathematics, philosophy or commentary, defies compartmentalization. Fifty psychological and psychiatric terms to avoid: a list of inaccurate, misleading, misused, ambiguous, and logically confused words and phrases “If names be not correct, language is not in accordance with the truth of things.” (Confucius, The Analects) Scientific thinking necessitates clarity, including clarity in writing (Pinker, 2014). In turn, clarity hinges on accuracy in the use of specialized terminology. Clarity is especially critical in such disciplines as psychology and psychiatry, where most phenomena, such as emotions, personality traits, and mental disorders, are “open concepts.”

Real World Examples of Quadratic Equations An example of a Quadratic Equation: Quadratic equations pop up in many real world situations! Here we have collected some examples for you, and solve each using different methods: Each example follows three general stages: Take the real world description and make some equations Solve! Use your common sense to interpret the results MATLAB - Le langage du calcul scientifique - MathWorks France MATLAB® is a high-level language and interactive environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java™. You can use MATLAB for a range of applications, including signal processing and communications, image and video processing, control systems, test and measurement, computational finance, and computational biology.

How to Survive the College Admissions Madness Photo HERE we go again. At Harvard, Emory, Bucknell and other schools around the country, there have been record numbers of applicants yearning for an elite degree. They’ll get word in the next few weeks. Most will be turned down. All should hear and heed the stories of Peter Hart and Jenna Leahy.

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