Wager Mage
Wager Mage
Photo: Kamaji Ogino
Weird numbers are natural numbers that are abundant but not semiperfect. For example, 70 is the lowest weird number, because its set of proper divisors {1,2,5,7,10,14,35} sum to 74, but no subset of its set of proper divisors sum to the number 70, and 70 is the smallest number to meet such conditions.
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Read More »Common intuition is a clandestine notion hidden behind the wall of mathematical formalism. Elaborate systems that dispose of specification in favor of complete abstraction are merely derived from basic understanding. Axiomatic truths build elegant mathematical structures layered by bricks of minor principles. In example, by using only three postulates the entire theory of Calculus can be constructed. Oftentimes, mathematical axioms are simply self-evident truths that are drawn from a set of numbers. Number theorists, in particular, have found that numbers themselves exhibit their own special character. Indeed, in the field of Number Theory, numbers can be abundant, semiperfect, and weird. In fact, these strangely named numbers define a major unsolved problem. An abundant number is defined as a number in which the sum of its proper divisors is greater than the number itself. Take the number 24 for example. Since {1,2,3,4,6,8,12} is the set of proper divisors ( all of the divisors except 24) of 24 and 1 + 2 + 3 + 4 + 6 + 8 + 12 = 36, 24 is an abundant number. If a natural number is the sum of all or some of its proper divisors, then it is a semiperfect number. Consequently, by inspection, a perfect number is a semiperfect number that is the sum of all of its proper divisors. Considering these definitions, a weird number can be defined. Weird numbers are natural numbers that are abundant but not semiperfect. For example, 70 is the lowest weird number, because its set of proper divisors {1,2,5,7,10,14,35} sum to 74, but no subset of its set of proper divisors sum to the number 70, and 70 is the smallest number to meet such conditions. The first few weird numbers are 70, 836, 4030, and 5830 and so on. In this small sampling of weird numbers, one can see that they are all even. Thus, the following question could be asked: Do any odd weird numbers exist? This is an easy question to ask, but far from easy to answer. However, other basic properties can be described with more ease. For instance, mathematicians have proven that there are infinitely many weird numbers. Also, if an odd weird number does exist, then it must be greater than . Therefore, it is unlikely that pure computation alone will answer the question. Perhaps a solution is bound behind the wall of mathematical formalism. However, the answer could emerge from behind the bricks into the light of common understanding.
Beyblade L-Drago Destroy/Destructor Type Spinning top Country Japan Availability 1999–present Official website 1 more row
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Read More »The University of Edinburgh study reported that the oldest child tends to have a higher IQ and thinking skills than their younger siblings. This is due to higher mental stimulation the first-born receives, CBS affiliate KUTV reports.
The study looked at U.S. Bureau of Labor statistics for 5,000 children from pre-birth to 14-years-old. A new study shows that first-born children tend to be smarter than their siblings and second-born children are more likely to cause trouble. The University of Edinburgh study reported that the oldest child tends to have a higher IQ and thinking skills than their younger siblings. This is due to higher mental stimulation the first-born receives, CBS affiliate KUTV reports. The study looked at U.S. Bureau of Labor statistics for 5,000 children from pre-birth to 14-years-old and looks at family background and economic conditions. "The first-borns scored higher on tests including reading and picture vocabulary, which according to the researchers, could reflect the 'birth order effect,'" Kate Frost said in Country Living magazine. "This means children born earlier in a family go on to have a better level of education and earn higher wages further down the line." Another study looked at second-born children, who were more likely to misbehave with sometimes 'serious consequences.' Dr. Joseph Doyle's study found second-born children are 25 to 40 percent more likely to get into "serious" trouble after looking at data from thousands of brothers in the U.S. and Europe. Parenting styles changing from one child to the next and having siblings as role models are some of the explanations. "Both the parental investments are different, and the sibling influences probably contribute to these differences we see in the labor market and what we find in delinquency," Doyle told NPR.
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