X-Nico

unusual facts about sigma-algebra



68–95–99.7 rule

In statistics, the 68–95–99.7 rule, also known as the three-sigma rule or empirical rule, states that nearly all values lie within three standard deviations of the mean in a normal distribution.

85th Scripps National Spelling Bee

Nandipati received a $30,000 cash prize, an engraved trophy from the E. W. Scripps Company, a $2,500 savings bond from Merriam-Webster, a $5,000 scholarship from the Sigma Phi Epsilon Educational Foundation, $2,600 in reference works from Encyclopædia Britannica, Inc., and an online language course and Barnes & Noble Nook from Middlebury Interactive Languages.

Active contour model

Where G {\sigma} is a Gaussian standard deviation \sigma minima of this functional lie on zero-crossings of

Alpha Phi Sigma

Established in January, 1942 at Washington State University, Alpha Phi Sigma recognizes academic excellence of undergraduate and graduate students of criminal justice, as well as those seeking a Juris Doctor degree.

Alpha Sigma Nu

The society, known as Alpha Sigma Tau until 1930, spread from Marquette to Creighton University, to St. Louis University and to the University of Detroit in its first decade.

Approximately finite dimensional C*-algebra

Approximate finite dimensionality was first defined and described combinatorially by Bratteli.

Brian J.G. Pereira

In addition, Pereira was a member of the advisory boards of Amgen and Sigma-Tau Pharmaceuticals along with several other organizations.

C*-algebra

This line of research began with Werner Heisenberg's matrix mechanics and in a more mathematically developed form with Pascual Jordan around 1933.

Carus Mathematical Monographs

# Algebra and Tiling: Homomorphisms in the Service of Geometry, by Sherman Stein and Sándor Szabó

Commodore 16

Aurrerá supermarkets distributed them with Grupo Sigma S.A., a local distributor of Commodore USA.

Delta Epsilon Sigma

Delta Epsilon Sigma (ΔΕΣ) is a national scholastic honor society that was established in 1939 for students of Catholic universities and colleges in the United States.

Delta Sigma Chi

On November 6, 1913, B.J. Palmer was initiated into the brotherhood of Delta Sigma Chi.

Dextromethorphan

sigma receptor agonist (Ki = 205 nM and 11,060 nM, respectively).

Duffin–Kemmer–Petiau algebra

In mathematical physics, the Duffin–Kemmer–Petiau algebra (DKP algebra), introduced by R.J. Duffin, Nicholas Kemmer and G. Petiau, is the algebra which is generated by the Duffin–Kemmer–Petiau matrices.

Hilbert's theorem

Hilbert's basis theorem, in commutative algebra, stating every ideal in the ring of multivariate polynomials over a Noetherian ring is finitely generated

Hilbert's syzygy theorem, a result of commutative algebra in connection with the syzygy problem of invariant theory

Hyperbolic sector

The analogy between circular and hyperbolic functions was described by Augustus De Morgan in his Trigonometry and Double Algebra (1849).

Jamal Nebez

In 1956, he prepared a stencilized script on Algebra and in 1960, succeeded in publishing the first physics book in Kurdish under the title, "Introduction into the Mechanics and Properties of Matter", including a rich glossary of Kurdish terms pertaining to physics and mathematics.

Jerry Rosholt

For this report, Rosholt was awarded the Distinguished Journalist Award by Sigma Delta Chi (now known as the Society of Professional Journalists Sigma Delta Chi Award.) From 1960 to 1962, Rosholt represented Lutheran Film Associates in the distribution of the motion picture Question 7.

Karen Parshall

with Jeremy J. Gray (eds.): Episodes in the History of Modern Algebra (1800–1950), AMS/LMS History of Mathematics 32, Providence/London 2007 (Conference at MSRI 2003)

King Henry VIII School Abergavenny

The school at this time was supposed to be a grammar school taking pupils from all over North Monmouthshire with a curriculum of Latin, English, History, Geography, French, Arithmetic, Algebra, Trigonometry and Chemistry.

KK-theory

It was influenced by Atiyah's concept of Fredholm modules for the Atiyah–Singer index theorem, and the classification of extensions of C*-algebras by Brown–Douglas–Fillmore (Lawrence G. Brown, Ronald G. Douglas, Peter Arthur Fillmore 1977).

M-sequence

Regular sequence, which is an important topic in commutative algebra.

Mahesh Amalean

Thereafter he started a manufacturing company with his brothers named Sigma Industries which began operations in Ratmalana, in August 1985.

N! conjecture

It was Adriano Garsia's idea to construct an appropriate module in order to prove positivity (as was done in his previous joint work with Procesi on Schur positivity of Kostka–Foulkes polynomials).

Normal matrix

The concept of normal matrices can be extended to normal operators on infinite dimensional Hilbert spaces and to normal elements in C*-algebras.

Omega Delta Sigma

Omega Delta Sigma's also provides proceeds to such organizations as Wounded Warrior Project, Support The Troops, and Toys for Tots.

PeakFit

PeakFit was originally developed by Ron Brown of AISN Software and distributed by Jandel Scientific Software in the late 1980s but by January 2004, Systat Software acquired the exclusive worldwide rights from SPSS Inc. to distribute SigmaPlot and other Sigma Series products.

Phi Sigma Tau

The emblem of Phi Sigma Tau is in the shape of a pentagon; each of the five angles contains a symbol that represents one of the five streams of world thought: Chinese, Indian, Islamic, Hebrew, and Greek.

Phi Sigs

Phi Sigma Epsilon (ΦΣΕ) Men's Social Fraternity, which merged into Phi Sigma Kappa in 1985

Philip Palmer Green

He earned his doctorate from Berkeley in mathematics in 1976 with a dissertation on C*-algebra, but, like his colleague Eric Lander, transitioned from pure mathematics into applied work in biology and bioinformatics.

Physical symbol system

Algebra: the symbols are "+", "×", "x", "y", "1", "2", "3", etc.

Planetary equilibrium temperature

P=\sigma A { T }^{ 4 } Any incoming power to a black body is radiated as heat according to the Stefan–Boltzmann law, where P is the incoming power, σ is the Stefan–Boltzmann constant, A is the surface area of the black body, and T is the equilibrium temperature.

Pp-wave spacetime

A more general subclass consists of the axisymmetric pp-waves, which in general have a two dimensional Abelian Lie algebra of Killing vector fields.

RCVR

In the process of accessing hidden levels of SIGMA, users would also learn the truth about six UFO-related mysteries that have been the subject of controversy: Area 51, Roswell, Majestic 12, NASA, Kenneth Arnold and The Arkansas Incident (on which Season 1 is based).

Regina Tyshkevich

An international conference "Discrete Mathematics, Algebra, and their Applications", sponsored by the Central European Initiative, was held in Minsk, Belarus, October 2009 in honor of her 80th birthday.

Rigid analytic space

Vladimir Berkovich reformulated much of the theory of rigid analytic spaces in the late 1980s, using a generalization of the notion of Gelfand spectrum for commutative unital C*-algebras.

RpoS

The gene rpoS (RNA polymerase, sigma S) encodes sigma-38 (σ38, or RpoS), a 37.8 kD protein in Escherichia coli.

Seki Takakazu

Chinese algebra discovered numerical evaluation (Horner's method, re-established by William George Horner in the 19th century) of arbitrary degree algebraic equation with real coefficients.

Sigma 10–20mm f/4–5.6 EX DC HSM lens

The Sigma 10-20mm lens is an enthusiast-level, ultra wide-angle rectilinear zoom lens made by Sigma Corporation specifically for use with small format digital SLRs.

Sigma Alimentos

In Mexico, Sigma Alimentos markets its products through major supermarkets, as well as mom-and-pop outlets under brand names such as FUD, San Rafael, Chalet, Noche Buena, Chen, La Villita, among others.

Sigma Editions

Sigma Editions is an independent record label founded in 1998 by Rosy Parlane and Dion Workman (both ex-members of Thela).

Sigma Nu

Sigma Nu (ΣΝ) is an undergraduate college fraternity that was founded by James Frank Hopkins, Greenfield Quarles and James McIlvaine Riley at the Virginia Military Institute in Lexington, Virginia shortly after Hopkins witnessed what he considered a hazing ritual by upperclassmen at the Virginia Military Institute.

On July 10, 1884, Sigma Nu’s first convention was held in the Maxwell House Hotel in Nashville, Tennessee.

Sphaleron

where \xi = rg\nu, \phi 0 = \begin{bmatrix}1 \\ 0\end{bmatrix}, the σ-s are the SU(2) generators, g is the electroweak coupling constant ν is the Higgs VEV absolute value.

The Sigma Protocol

It is learned that Sigma has grown from a simple attempt to plunder the Nazi treasury and stabilize the industrial and financial state of the world in the wake of the war, to a political and financial machine which controls as many as 75% of the world's leading companies, and has enough covert political clout to directly influence the outcome of the likes of Presidential elections.

TICCIT

MITRE subcontracted with the CAI Laboratory at the University of Texas at Austin and also with the Department of Instructional Research, Development, and Evaluation of Brigham Young University to refine the user interface and create the massive amounts of courseware needed to teach a complete college-level English and algebra course.

TrueSkill

Factor graphs are used to "pack up" each team into (\mu,\sigma) pairs on which the update formulas are run; the skill updates are then correctly distributed to each player.

XOS

Xerox Operating System, an operating system for the XDS Sigma line of computers

Zvi Arad

Since 1994 he has served on the editorial board of the Algebra Colloquium, a journal of the Chinese Academy of Sciences published by Springer-Verlag.


see also

Monotone class theorem

In measure theory and probability, the monotone class theorem connects monotone classes and sigma-algebras.