Copernican heliocentrism is the astronomical model developed by Nicolaus Copernicus and published in 1543. This model positioned the Sun at the center of the Universe, motionless, with Earth and the other planets orbiting around it in circular paths, modified by epicycles, and at uniform speeds.The Copernican model displaced the geocentric model of Ptolemy that had …

Ctesibius or Ktesibios or Tesibius (Greek: Κτησίβιος; fl. 285–222 BC) was a Greek inventor and mathematician in Alexandria, Ptolemaic Egypt. He wrote the first treatises on the science of compressed air and its uses in pumps (and even in a kind of cannon).This, in combination with his work On pneumatics on the elasticity of air, earned him the title of "father of pneumatics."

Eratosthenes of Cyrene (/ ɛr ə ˈ t ɒ s θ ə n iː z /; Greek: Ἐρατοσθένης [eratostʰénɛːs]; c. 276 BC – c. 195/194 BC) was a Greek polymath: a mathematician, geographer, poet, astronomer, and music theorist.He was a man of learning, becoming the chief librarian at the Library of Alexandria.His work is comparable to what is now known as the study of geography, and he ...

Oct 12, 2022 · Microsoft has responded to a list of concerns regarding its ongoing $68bn attempt to buy Activision Blizzard, as raised by the UK's Competition and Markets Authority (CMA), and come up with an ...

where the non-negative integer exponents e i together with the finite-sized list of primes are enough to reconstruct the number. Since for all i, it follows that ⁡ for all i (where denotes the base-2 logarithm). This yields an encoding for n of the following size (using big O notation): (+ ⁡ ⁡) = (⁡ ⁡) bits.This is a much more efficient encoding than representing n directly in binary ...

The universe (Latin: universus) is all of space and time and their contents, including planets, stars, galaxies, and all other forms of matter and energy.The Big Bang theory is the prevailing cosmological description of the development of the universe. According to this theory, space and time emerged together 13.787 ± 0.020 billion years ago, and the universe has been expanding …

On the Sphere and Cylinder (Greek: Περὶ σφαίρας καὶ κυλίνδρου) is a work that was published by Archimedes in two volumes c. 225 BCE. It most notably details how to find the surface area of a sphere and the volume of the contained ball and the analogous values for a cylinder, and was the first to do so.

Theodorus of Cyrene (Greek: Θεόδωρος ὁ Κυρηναῖος) was an ancient Greek mathematician who lived during the 5th century BC. The only first-hand accounts of him that survive are in three of Plato's dialogues: the Theaetetus, the Sophist, and the Statesman.In the former dialogue, he posits a mathematical theorem now known as the Spiral of Theodorus

Cosmology: 1 × 10 63 is Archimedes' estimate in The Sand Reckoner of the total number of grains of sand that could fit into the entire cosmos, the diameter of which he estimated in stadia to be what we call 2 light-years. Mathematics – Cards: 52! × 10 67) – the number of ways to order the cards in a 52-card deck.

Heron's formula is a special case of Brahmagupta's formula for the area of a cyclic quadrilateral.Heron's formula and Brahmagupta's formula are both special cases of Bretschneider's formula for the area of a quadrilateral.Heron's formula can be obtained from Brahmagupta's formula or Bretschneider's formula by setting one of the sides of the …

ax + by = c: This is a linear Diophantine equation. w 3 + x 3 = y 3 + z 3: The smallest nontrivial solution in positive integers is 12 3 + 1 3 = 9 3 + 10 3 = 1729. It was famously given as an evident property of 1729, a taxicab number (also named Hardy–Ramanujan number) by Ramanujan to Hardy while meeting in 1917. There are infinitely many nontrivial solutions.

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In mathematics, two non-zero real numbers a and b are said to be commensurable if their ratio a / b is a rational number; otherwise a and b are called incommensurable. (Recall that a rational number is one that is equivalent to the ratio of two integers.)There is a more general notion of commensurability in group theory.. For example, the numbers 3 and 2 are commensurable …

The Gold Coast City Council has developed standards for major foreshoreways including the 'Gold Coast Oceanway'. The standards include chapters about landscaping, connectivity, visual analysis, safety risk assessment and CPTED, width, geometry, construction materials, finishes and colour, path jointing detailing, line marking, intersections and crossing treatments, lighting, …