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What is P50, P52 & P90 ?

P52, P53 and P90 are terms often used in the renewable energy sector, particularly in the context of wind or solar energy production analysis. These refer to statistical probability levels used in energy yield assessments to estimate the expected production of renewable projects over a certain time frame. P50 : Represents the median or "best estimate" production scenario. It means there is a 50% chance that the actual energy production will be higher or lower than this value. It is the expected average production in a typical year. P52 or P53 : These are uncommon notations, but they might represent slight variations from the median estimate, with a slightly higher probability of occurrence than P50. P90 : This represents a conservative estimate, meaning there's a 90% chance that the actual production will be equal to or exceed this value, making it suitable for financial risk assessments. In summary, P-levels like P50, P52, or P90 provide different confidence levels for

What is Kaprekar's constant ?

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 6174 is known as Kaprekar's constant , a magical number in mathematics. The "magic" lies in a process discovered by the Indian mathematician Dattatreya Ramchandra Kaprekar in 1949. Here's how it works: The Kaprekar Routine: Take any four-digit number, using at least two different digits. (If the number has fewer than four digits, pad it with leading zeros to make it four digits). Arrange the digits in descending order and then in ascending order to get two four-digit numbers. Subtract the smaller number from the larger number. Repeat the process with the result. No matter what four-digit number you start with, after a few iterations, you'll always reach 6174 . Once you reach 6174, repeating the process will continue to yield 6174. This is why 6174 is often called a "self-repeating number" or Kaprekar's constant. Example: Start with 3524: Descending: 5432 Ascending: 2345 Subtract: 5432 - 2345 = 3087 Now repeat the process: Descending: 8730 Ascending

Top 08 most un-solved math problems

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Several famous unsolved math problems have puzzled mathematicians for many years. Some of the most well-known unsolved math problems include: The Riemann Hypothesis: Proposed by Bernhard Riemann in 1859, this conjecture relates to the distribution of prime numbers and suggests that all non-trivial zeros of the Riemann zeta function have a real part of 1/2. Despite extensive computational evidence supporting the conjecture, it remains unproven. The Birch and Swinnerton-Dyer Conjecture: Proposed in 1965, this conjecture relates to elliptic curves and their associated L-functions. It suggests that there is a deep connection between the number of rational points on an elliptic curve and the behavior of its L-function at a certain point. This conjecture remains open, and its resolution would have significant implications for number theory. The Navier-Stokes Existence and Smoothness: This problem involves the mathematical description of the motion of fluid flows and asks whether smooth so