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12 Breakfast Cereals That Are More Than 50% Sugar (TIME)

In a year, kids eat more than 10 pounds of sugar by weight from breakfast cereal.

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Dow Chemical execs advocate 'prudent' approach to natural gas exports – The Times-Picayune

Dow Chemical execs advocate 'prudent' approach to natural gas exportsThe Times-PicayuneThe British Diamond arrives at Cameron LNG near Lake Charles with a shipment of 136,500 cubic meters of liquefied natural gas from Trinidad in June 2009. Federal regulators approved the facility for broad LNG exports on Tuesday, Feb. 11, 2014. (Sempra …and more »

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Questions and Answers

Natural Law?

Can anyone tell me what some basic principles of natural laws are or some exaples of natural law? Much thanks if you can answer it.

Posted by Matt O
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Natural law or the law of nature (Latin: lex naturalis) is an ethical theory that posits the existence of a law whose content is set by nature and that therefore has validity everywhere. The phrase natural law is sometimes opposed to the positive law of a given political community, society, or nation-state, and can thus function as a standard by which to criticize that law. In natural law jurisprudence, on the other hand, the content of positive law cannot be known without some reference to the natural law (or something like it); natural law, used in this sense, can be evoked to criticize decisions about the statutes, but less so to criticize the law itself. Natural law can be used synonymously with natural justice or natural right (Latin ius naturale), although most contemporary political and legal theorists separate the two.

What is theory of natural selection?

Darwin theory of natural selection.

Posted by cute
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Natural selection is the mechanism by which evolution occurs. Darwin explained evolution by natural selection in four postulates:

1. Individuals within populations are variable.
2. The variations among individuals are, at least in part, passed from parents to offspring.
3. In every generation, some individuals are more successful at surviving and reproducing than others.
4. The survival and reproduction of individuals are not random; instead they are tied to the variation among individuals. The individuals with the most favorable variations, those who are better at surviving and reproducing, are naturally selected.

A good example is HIV. One of the first treatments for HIV was a drug called AZT which inhibits the functioning of reverse transcriptase thus preventing new viruses from being made. Within any population of HIV viruses (as with any organism) there is natural genetic variation and it turns out that one of the HIV variants that is often present in a patient is one in which the HIV has a slightly different reverse transcriptase that isn't as easily inhibited by AZT. If a patient is on AZT treatment alone then those viruses with the variant reverse transcriptase will be favored and over time these variants will become the dominant virus in a patient thus resulting in an infection that is AZT resistant.

College Algebra Natural Numbers?

How do you show that the set of natural numbers is infinite? Please help. Thank you in advance.
I'm still not understanding what you are telling about this problem. Please explain step by step and tell me what you are thinking with each step, so I can fiqure this math problem out. Thank you in advance.

Posted by Tonnie
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Assume the natural numbers are finite. Then order them from lowest to highest like so:

1, 2, 3, …, n-3, n-2, n-1 and n

We know that the natural numbers are closed under addition and multiplication. That is, if you add or multiply any two natural numbers, the result is another natural number.

Consider the following natural number, L = 1 + 2 + 3 + … + (n-3) + (n-2) + (n-1) + n.

Clearly, L is greater than n (and every other natural number). However, we have assumed that n was the largest natural number.

We have a contradiction. The only assumption that is flawed is the finiteness of the natural numbers.

Therefore, the natural numbers are infinite.

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