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Lander, Parkin, and Selfridge conjecture: if the sum of -th powers of positive integers is equal to a different sum of -th powers of positive integers, then +. Lemoine's conjecture : all odd integers greater than 5 {\displaystyle 5} can be represented as the sum of an odd prime number and an even semiprime .
1 Bq = 1 s −1. A special name was introduced for the reciprocal second (s −1) to represent radioactivity to avoid potentially dangerous mistakes with prefixes.For example, 1 μs −1 would mean 10 6 disintegrations per second: (10 −6 s) −1 = 10 6 s −1, [4] whereas 1 μBq would mean 1 disintegration per 1 million seconds.
[12] [6] The 2020 Mathematics Subject Classification contains no less than sixty-three first-level areas. [13] Some of these areas correspond to the older division, as is true regarding number theory (the modern name for higher arithmetic) and geometry. Several other first-level areas have "geometry" in their names or are otherwise commonly ...
For instance, the numeral for 10,405 uses one time the symbol for 10,000, four times the symbol for 100, and five times the symbol for 1. A similar well-known framework is the Roman numeral system . It has the symbols I, V, X, L, C, D, M as its basic numerals to represent the numbers 1, 5, 10, 50, 100, 500, and 1000.
A game of Snatch in progress. Anagrams (also called Snatch or Snatch-words) is a fast-paced, non-turn-based Scrabble variant played without a board. The tiles are placed face-down in the middle of the table, and players take turns flipping a single tile, leaving it in clear view of all players.
By performing the calculation above in the familiar decimal system, we see why 112 in octal is equal to + + = in decimal. Octal numerals can be easily converted from binary representations (similar to a quaternary numeral system ) by grouping consecutive binary digits into groups of three (starting from the right, for integers).
As with the octal and hexadecimal numeral systems, quaternary has a special relation to the binary numeral system.Each radix four, eight, and sixteen is a power of two, so the conversion to and from binary is implemented by matching each digit with two, three, or four binary digits, or bits.
The sum of the numbers on opposite faces is usually 9 (if numbered 0–9) or 11 (if numbered 1–10). 12: Dodecahedron: Each face is a regular pentagon. The sum of the numbers on opposite faces is usually 13. 20: Icosahedron: Faces are equilateral triangles. Icosahedra have been found dating to Roman/Ptolemaic times, but it is not known if they ...