Aura Corinne Speltzman has two problems: the kids at school and the sudden disappearance of her only friend, an invisible zebra named Harold. But everything.
Table of contents
- Xylophones and Zebras
- Royalty-free stock vector ID: 327522455
- Zebras & Xylophones
- Xylophones and zodiacs of the zebras
Creating tables in Excel is far easier than doing so in LaTeX and I miss the functionality that excel2latex provided. If you know of a way, please leave a comment. Hurricane Ike did relatively little damage in our neighborhood. Lots of tree limbs down, but no damage to the houses around us. Many people in Houston were harder hit.
Xylophones and Zebras
I posted a page this evening that lets you calculate the distance between two locations using their latitudes and longitudes. There is one page providing an online calculator and another page giving the formula used to calculate the distances and its derivation. This project was prompted by a friend asking me how far my home is from Galveston where the hurricane is supposed to make landfall this weekend.
CodeProject just posted my article Filling in the gaps: A friend of mine who is a linguist told me one time that most native English speakers have never had a course in English grammar. See also xylophones and zebras , learning Spanish. My previous post showed how to define binomial coefficients for general arguments.
See also How to calculate binomial probabilities. For daily posts on probability, follow ProbFact on Twitter. There are two generalizations of this definition. The first is to let n be any real number.
Then the binomial coefficient r , k can be defined as. This definition is adequate for most applications. The final generalization is to let z and w be any complex numbers and define the binomial coefficient z , w as. This generalization is more complicated, but in some sense it is more natural.
Essentially it uses the simplest definition and replaces n! However, the business of the limits is subtle and important.
Royalty-free stock vector ID: 327522455
For motivation of these definitions and details regarding how they work, see the article Binomial coefficients. Note that the publication of a paper saying a drug is clinically effective is a far cry from regulatory approval. Many new drugs that look like an improvement after a phase II trial turn out to be no better than existing treatments, and those really are better take years to achieve regulatory approval. Consulting in clinical trial design. When I took her somewhere for help, the main thing they did was to put her foot in a pan of hot water.
It only takes about 30 seconds for the heat from the water to bring relief by neutralizing the toxin from the stingray. You have to keep soaking a while longer or else the pain will come right back. In applications, X and Y have different distributions but come from the same distribution family. For example, an adaptively randomized trial of three treatments may be designed to assign a treatment with probability equal to the probability that that treatment has the best response.
In a trial with a binary outcome, the variables X , Y , and Z may be beta random variables representing the probability of response.
Zebras & Xylophones
In a trial with a time-to-event outcome, the variables might be gamma random variables representing survival time. This would be the case if we thought in terms of failures rather than responses, or wanted to minimize the time to a desirable event rather than maximizing the time to an undesirable event. These inequalities are used for safety monitoring rules as well as to determine randomization probabilities. In practice, the most common value of n by far is 2. Sometimes n is 3. For large n , simulation may be more efficient than integration.
The search for a faster algorithm lead to this paper: Numerical Evaluation of Gamma Inequalities. Solving hard problems We help companies solve hard problems in mathematics , statistics , and computing. Here are some of my favorite notations that are not commonly used. What is the shape of the earth? Then the binomial coefficient r , k can be defined as where is the k th falling power of r. The final generalization is to let z and w be any complex numbers and define the binomial coefficient z , w as This generalization is more complicated, but in some sense it is more natural.
Xylophones and zodiacs of the zebras
My daughter is fine now. The hot water and a topical antibiotic were all she needed. The maximum and minimum inequalities are related by the following equation: Previous posts on random inequalities: It is the original image provided by the contributor. Editorial content, such as news and celebrity images, are not cleared for commercial use.
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