Two representative mathematical results describing such patterns are the law of large numbers and the central limit theorem.

Two of his mathematical works have survived.

Two systematic treatises on mathematical subjects were completed by Boole during his lifetime.

* Two solutions, called VSOP82 and VSOP87 are versions one mathematical theory for the orbits and positions of the major planets, which seeks to provide accurate positions over an extended period of time.

Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R < sup > 3 </ sup > upon itself ( known as an ambient isotopy ); these transformations correspond to manipulations of a knotted string that do not involve cutting the string or passing the string through itself.

Two long papers published in 1840 — one on attractions and Clairaut's theorem, and the other on the variation of gravity at the surface of the earth — also demand notice, as do his mathematical memoirs on the critical values of sums of periodic series ( 1847 ) and on the numerical calculation of a class of definite integrals and infinite series ( 1850 ) and his discussion of a differential equation relating to the breaking of railway bridges ( 1849 ), research related to his evidence given to the Royal Commission on the Use of Iron in Railway structures after the Dee bridge disaster of 1847.

In addition to the above fonts, mathematical fonts for Lucida Bright, Lucida Sans, Lucida Sans Mono were also developed, as well as Lucida Math One, Lucida Math Two, Lucida Math Three, which contain only mathematical symbols.

Two popular filter metrics for classification problems are correlation and mutual information, although neither are true metrics or ' distance measures ' in the mathematical sense, since they fail to obey the triangle inequality and thus do not compute any actual ' distance ' – they should rather be regarded as ' scores '.

Two cross-country comparisons have found great variation in the gender differences regarding the degree of variance in mathematical ability.

Two quite different mathematical objects are called a pseudotensor in different contexts.

Two important strands of fictionalism are modal fictionalism developed by Gideon Rosen, which states that possible worlds, regardless of whether they exist or not, may be a part of a useful discourse, and mathematical fictionalism advocated by Hartry Field, which states that talk of numbers and other mathematical objects is nothing more than a convenience for doing science.

Two approaches can be used ( often in combination ) to elucidate how a particular lake works: field measurements and mathematical modeling.

Two other uncommon sources were promoted by Alexander: Anselm of Canterbury, whose writings had been ignored for almost a century gained an important advocate in Alexander and he used Anselm's works extensively in his teaching on Christology and soteriology ; and, Pseudo-Dionysius the Areopagite, whom Alexander used in his examination of the theology of Orders and ecclesiastical structures.

Two common types of engineered design for anchoring floating structures include tension-leg and catenary loose mooring systems.

Two possible village sites and some stone structures of these early visitors have been located.

Two papers were published in November 2005 with structures of the Escherichia coli 70S ribosome.

Two dimensional data structures can also be ( de ) serialized in CSV format using the built-in cmdlets and.

Two forces converged to initiate the PDB: 1 ) a small but growing collection of sets of protein structure data determined by X-ray diffraction ; and 2 ) the newly available ( 1968 ) molecular graphics display, the Brookhaven RAster Display ( BRAD ), to visualize these protein structures in 3-D.

Ring-like structures or Ringoids: Two binary operations, often called addition and multiplication, with multiplication distributing over addition.

Lattice structures: Two or more binary operations, including operations called meet and join, connected by the absorption law.

Two commercial structures were completely destroyed.

Two Humboldt area structures, O ' Brien's Mill and W. W. Curdy dry goods store, were fortified.

Two of the remaining structures, the Blacksmith Shop and Machine Shop and Dairy Building, are listed on the National Register of Historic Places.

There are several homes in " east " Two Harbors whose original structures were built on Whiskey Row.

Gooseberry Falls State Park is a short drive from Two Harbors ( 13 miles ) and offers a variety of activities for the entire family. The park includes scenic waterfalls, historic structures, miles of trails, visitor center, nature store, and a year-around naturalist.

Two of the functional Tudor chimneys make use of original mid-12th century flues ; these two chimneys are circular in design and are the earliest such surviving structures in England.

Two structures in the community, a courthouse ( 1938 ) and school building ( 1942 ), were constructed Works Projects Administration ( WPA ) labor.

Two of the contributing structures of nitrogen dioxide

There are two structures in AMRITA yoga a ) intensive programs and b ) Two weeks programs.

Two of his structures stand to this day.

* 1638: Galileo Galilei published the book " Two New Sciences " in which he examined the failure of simple structures

Two other sporadic groups can be defined as stabilizers of structures on the Leech lattice.

Two Lewis structures must be drawn: Each structure has one of the two oxygen atoms double-bonded to the nitrogen atom.

Two pseudoknot RNA structures were predicted that include the 3 ' splice site in Segments 7 and 8, which are both alternatively spliced to produce the M2 and NEP proteins respectively.

Two of the 100 listed buildings and structures in the Borough of Crawley are in Southgate.

Two thieves are crucified with Christ, one saved and the other damned.

Two of the vital qualities demanded of a politician by other politicians are that he always keep a confidence and that he keep his word.

Two poets are paired on each record, in the order given above.

Two Anabaptists, Caroli and Benoit, are to challenge you and William to a debate before the Council.

Two features are immediately evident.

Two cities to be considered, Providence and Cranston, are an enigma.

Two walls of concrete blocks are constructed at least 20 inches apart.

Two or more dogs are mounted on each locking bar.

Two very useful ways for modifying a form-dictionary are the addition to the dictionary of complete paradigms rather than single forms and the application of a single change to more than one dictionary form.

Two metabolites ( 1, and 2 ) ) of p-aminobenzoic acid ( PABA ) which act as cofactors for the hydroxylation of aniline by acid-fast bacteria are biosynthesized from Aj.

Two of the clamps are fixed to the edges of the board whereas two clamps travel on guide rails opposite the fixed clamps.

Two unsolved mysteries are based on these facts.

Two of these are in or near Dallas and the others away from the vicinity.

`` Two, wage costs are a fraction of the U.S. costs.

Two sharply contrasting places designed for public enjoyment are now on display.

Two apparent experimental methods of increasing F are increasing the

Two of the most well-known applications of the pure elements are rubidium and caesium atomic clocks, of which caesium atomic clocks are the most accurate representation of time known as of.

Two of the genera, Hemerocallis ( day lily ) and Phormium ( New Zealand flax ), are grown as ornamentals worldwide.

Two 13-person juries composed of artists, academics, critics and AFI Trustees deliberate, discuss and determine the honored ensembles, who are then feted at a private event in January.

Seven stories are inspired by a nursery rhyme: And Then There Were None by Ten Little Indians ; One, Two, Buckle My Shoe by One, Two, Buckle My Shoe ; Five Little Pigs by This Little Piggy ; Crooked House by There Was a Crooked Man ; A Pocket Full of Rye by Sing a Song of Sixpence ; Hickory Dickory Dock by Hickory Dickory Dock, and Three Blind Mice by Three Blind Mice.

* 1920 – Two security guards are murdered during a robbery in South Braintree, Massachusetts.

* 2008 – Two skeletal remains found near Ekaterinburg, Russia are confirmed by Russian scientists to be the remains of Alexei Nikolaevich, Tsarevich of Russia and one of his sisters.

Two other alcohols whose uses are relatively widespread ( though not so much as those of methanol and ethanol ) are propanol and butanol.