The Mizar system consists of a formal language for writing mathematical definitions and proofs, a proof assistant which is able to mechanically check proofs written in this language, and a library of formalized mathematics which can be used in the proof of new theorems.

The system is maintained and developed by the Mizar Project under the direction of its founder Andrzej Trybulec.

The Mizar Mathematical Library is the largest coherent body of strictly formalized mathematics in existence.

Its current goal, apart from the continual development of the Mizar System, is the collaborative creation of a large library of formally verified proofs, covering most of the core of modern mathematics.

While the Mizar proof checker remains proprietary, the Mizar Mathematical Library – the sizable body of formalized mathematics that it verified – is licensed open-source.

The distinctive feature of the Mizar language is its readability.

Thus, a typical Mizar article is about four times as long as an equivalent paper written in ordinary style.

The full text of the MML is distributed with the Mizar checker and can be freely downloaded from the Mizar website.

It is written in Free Pascal and the source code is available to all members of the Association of Mizar Users.

This is partly due to the complexity of mathematical notation, and partly to the limitations of existing theorem provers and proof assistants ; the paper finds that the major contenders, Mizar, HOL, and Coq, have serious shortcomings in their abilities to express mathematics.

* Mizar is often said to have been the first binary star discovered when it was observed in 1650 by Giovanni Battista Riccioli < sup >, p. 1 ; </ sup >, but it was probably observed earlier, by Benedetto Castelli and Galileo.

* If Alcor is considered part of the Mizar system, the system can be considered a sextuple.

* In Ursa Major, the handle's middle star, Mizar, is noted to be a binary by Giambattista Riccioli.

To the surprise of all though, Mizar is revealed to be a robot controlled by King Jeff's jealous brother, Barry.

He is often credited with being one of the first to telescopically observe the star Mizar and note that it was a double star ; however, Castelli and Galileo observed it much earlier.

In conception, this is far closer to the AVE Mizar of the early 1970s than to Taylor's designs, the vehicle portions of which were purpose-designed and built.

Another difference with the original Aerocar ( and similarity to the Mizar ) is that the flight module is not designed to be taken away from the airfield.

Whenever Good / Phink morphs, Kat / Sludge morphs together ( although he is capable of doing it separated from his master, such as in the Saturn 500, when Phink says dogs aren't allowed on Mars and he morphs, causing Phink to says cats aren't either and in the Mizar Marathon when Good said that cats aren't allowed in a castle, to which he morphs and Good says that goes for dogs too ).

Mizar () is a Macedonian rock band from Skopje.

The band got its name after Mizar which is a guiding star for orientation of travelers in the deserts.

Throughout the game, the player will also have to collect several spaceship parts and save a large number of Tribals, a group of survivors who have been enslaved and prisoned by Mizar.

The second hunter ( Mizar ) carries a large pot — the star Alcor — on his shoulder in which to cook the bear while the third hunter ( Alkaid ) hauls a pile of firewood to light a fire beneath the pot.

In 1987, Max More moved to Los Angeles from Oxford University in England, where he had helped to establish ( along with Michael Price, Garret Smyth and Luigi Warren ) the first European cryonics organization, known as Mizar Limited ( later Alcor UK ), to work on his Ph. D. in philosophy at the University of Southern California.

However, Mizar, enraged and vowing revenge on the human race, escapes to a nearby asteroid where he sets course to impact with Earth.

The USS Mizar was manned by a crew of Merchant mariners and a number of United States Navy Armed Guard sailors assigned to man the guns on the ship.

* Mizar – A proof assistant based on first-order logic, in a natural deduction style, and Tarski – Grothendieck set theory.

They are separated by 0. 11 ° on the sky, and resolvable with the naked eye, similar to Mizar and Alcor.

Two years later the first two albums of Mizar were re-released on CD solely for the Macedonian market, but the record quickly spread across the countries of former Yugoslavia.

The Mizar Mathematical Library ( MML ) includes all theorems which can be referred in newly written articles.

This breath of coverage has led some to suggest Mizar as one of the leading approximations to the QED utopia of encoding all core mathematics in computer verifiable form.

Distributions of the Mizar Proof Checker for all major operating systems are freely available for downloaded at the Mizar Project website.

Nevertheless, the team needs to locate several vital parts scattered throughout the galaxy, as well as rescue all the Tribals enslaved by Mizar.

In their long history Mizar had 3 Revelations, all of them with different singers.

One notable design, Henry Smolinski's Mizar, made by mating the rear end of a Cessna Skymaster with a Ford Pinto, disintegrated during test flights, killing Smolinski and the pilot.

* AVE Mizar – 1973, Cessna Skymaster / Ford Pinto hybrid.

The Mizar project has completely formalized and automatically checked the proof of the Hahn – Banach theorem in the HAHNBAN file.

* Formal definition of probability in the Mizar system, and the list of theorems formally proved about it.

Edward Pickering discovered the first spectroscopic binary in 1899 when he observed the periodic splitting of the spectral lines of the star Mizar in a 104 day period.

Mizar, a star in the Big Dipper, forms the famous optical double star with Alcor.

The Iroquois Native Americans interpreted Alioth, Mizar, and Alkaid as three hunters pursuing the Great Bear.

However, bears do not have long tails, and Jewish astronomers considered Alioth, Mizar, and Alkaid instead to be either three cubs following their mother, and the Native Americans as three hunters.

Early examples include Mizar and Acrux.

When Mizar was found to be a binary, it was quite difficult to determine whether a double star was a binary system or only an optical double.

Additionally, Mizar forms an optical double with the star Alcor.

The Mizar Project was started around 1973 by Andrzej Trybulec as an attempt to reconstruct mathematical vernacular so it can be checked by a computer.

Papers related to the Mizar system regularly appear in the peer-reviewed journals of the mathematic formalization academic community.

Mizar articles are written in ordinary ASCII, but the language was designed to be close enough to the mathematical vernacular that most mathematicians could read and understand Mizar articles without special training.