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In number theory, a balanced prime is a prime number with equal-sized prime gaps above and below it, so that it is equal to the arithmetic mean of the nearest primes above and below. Or to put it algebraically , the n {\displaystyle n} th prime number p n {\displaystyle p_{n}} is a balanced prime if
It creates Common Core State Standards-aligned tests ("adaptive online exams") to be used in several states. It uses automated essay scoring. Its counterpart in the effort to become a leading multi-state test provider is the Partnership for the Assessment of Readiness for College and Careers (PARCC). In 2010, the consortium was created.
In contrast to well-formed nested parentheses and square brackets in the previous section, there is no context-free grammar for generating all sequences of two different types of parentheses, each separately balanced disregarding the other, where the two types need not nest inside one another, for example: [ ( ] ) or
The proof that the language of balanced (i.e., properly nested) parentheses is not regular follows the same idea. Given p {\displaystyle p} , there is a string of balanced parentheses that begins with more than p {\displaystyle p} left parentheses, so that y {\displaystyle y} will consist entirely of left parentheses.
Get ready for all of today's NYT 'Connections’ hints and answers for #577 on Wednesday, January 8, 2025. Today's NYT Connections puzzle for Wednesday, January 8, 2025The New York Times.
Once the first part of the game is completed, the contestant faces the fifth grade. Five subjects are shown to the contestant, each with one fifth grade-level question. The contestant is given 60 seconds to answer all five questions. As in the first part of the game, the contestant must press the button on his or her desk to lock in an answer.
A Minnesota couple has reportedly been sentenced to four years after they locked their children in cages for "their safety." Benjamin and Christina Cotton from Red Wing, were sentenced by a ...
A trial is scheduled for Jan. 5, 2026. Based in Shenzhen, Huawei operates in more than 170 countries and has about 207,000 employees. A spokesman for U.S. Attorney Breon Peace in Brooklyn declined ...