Dispersive sum rules, of which the Drell-Hearn-Gerasimov sum rule is a special example, are a consequence of rather general principles. On the one hand, they can be used to make tests of these fundamental principles, allowing to probe deep mysteries of nature. On the other hand, they can...
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What is the divisibility rule of 11? Using Fermat s Little Theorem, show that 2^{56}+3^{56} is divisible by 17. There is a famous irrational number called euler's number, often symbolized with an e. Like pie it never seems to end. The first few digits of e are 2.7182818284. Betwe...
Session time is the amount of time that the learner has spent in the current session for this SCO (Sharable Content Object). Total time is the sum of all of the learner’s session times in the current learning attempt. Both SCORM 1.2 and 2004 can track that. ...
Subjects X1 X2 X3 Sum 1 0 3 5 8 2 3 4 6 13 Sum 3 7 11 21 What is the SStotal? What is the SS treat? What is MSerror equal to? ANOVA: The Anova word stands for the analysis of variance. The analysis...
A fraction, or fractional number, is used to represent a part of a whole. Study the rules of fractions in basic arithmetic operations with visual models.
building on earlier work by Bourgain, Wolff famously obtained (1) with using what is now known as the “Wolff hairbrush argument”, based on considering the size of a “hairbrush” – the union of all the tubes that pass through a single tube (the hairbrush “stem”) in the collection...
The zero product rule (also called the zero product property) is a mathematical rule that involves a product being equal to zero. We can use the zero product property to solve equations of different kinds. Answer and Explanation: The zero product rule, or zero product property, states the fo...
What Is the 6% Lump Sum Rule? The 6% lump sum rule is a general rule of thumb used to determine if a lump sum or monthly pension payment is a better option. Multiply the monthly pension by 12 and divide by the lump sum amount—if the result is 6% or greater, the monthly pension m...
What Is the 28/36 Rule for Housing Expenses? The28/36 rule for housingexpenses essentially states that you should spend no more than 28% of your gross monthly income on housing payments (like rent or mortgage payments) and no more than 36% of your gross income on total debt. Total debt...