# Hydrolysis is the transformation of minerals into polar molecules by the intervention by and splitting of water.

# a negative value of the anisotropy of the zero field splitting ( D )

# REDIRECT Vote splitting

# REDIRECT loop splitting # Loop peeling

# REDIRECT Vote splitting

He made 22 starts in the Busch Series, splitting time with Akins and Evernham's new # 6 team.

# external validation by splitting the available data set into training set for model development and prediction set for model predictivity check ;

# redirect Heegaard splitting

Beuerlein started the remaining eight games of the regular season, splitting playing time with Kiel, and winning his first five starts ( including 30-6 win at # 7 South Carolina, a 42-0 blowout win at Army, and a 27-6 victory over arch-rival USC-the first since 1977-which propelled the Irish back into the rankings ).

# REDIRECT Doublet – triplet splitting problem

He began the 1982 season with two top-ten finishes, but later began splitting time between his # 42 and the # 1 UNO / STP car owned by Hoss Ellington, and ended the season fifteenth in points.

Marlin's run in the # 14 ended on July 17, 2007, when Ginn Racing announced Regan Smith, who had been splitting time with Mark Martin in Ginn's U. S. Army-sponsored # 01 car, would replace him beginning at the Allstate 400 at the Brickyard at Indianapolis.

# REDIRECT Lane splitting

# redirect Vote splitting

# Recurse on the sublists obtained by splitting on a_best, and add those nodes as children of node

went on to dominate the UK charts, achieving four # 1 singles before splitting at their height in 1986.

# Fibred category admitting no splitting: A group G can be considered as a category with one object and the elements of G as the morphisms, composition of morphisms being given by the group law.

# the often complex consonant clusters of OIA are reduced to more readily pronounceable forms, either by assimilation or by splitting ;

Debuting in 1991 with the # 38 hit " Promises ", they would go on to score another seven number 1s before splitting in 1996.

For 2011, the # 33 carried dual sponsorship from both Rheem and Menards, with Kevin Harvick, Clint Bowyer, Austin Dillon, and new RCR driver Paul Menard splitting the driving duties.

In 2007, East ran with Brewco Motorsports, splitting time in the # 27 and # 37 cars, and a few ARCA races as well.

# Yoga of the Grothendieck – Riemann – Roch theorem ( K-theory, relation with intersection theory ).

# X has a sub-base such that every cover of the space by members of the sub-base has a finite subcover ( Alexander's sub-base theorem )

# A is closed and bounded ( Heine – Borel theorem ).

# REDIRECT Chinese remainder theorem

# REDIRECT Fermat's little theorem

# REDIRECT Fundamental theorem of arithmetic

# Reducing the theorem to sentences ( formulas with no free variables ) in prenex form, i. e. with all quantifiers ( and ) at the beginning.

# Reducing the theorem to sentences of the form.

# Finally we prove the theorem for sentences of that form.

# If A is a Lebesgue measurable set, then it is " approximately open " and " approximately closed " in the sense of Lebesgue measure ( see the regularity theorem for Lebesgue measure ).

There is no formal distinction between a lemma and a theorem, only one of intention – see Theorem # Terminology.

# REDIRECT Metrization theorem

# REDIRECT Pythagorean theorem

# REDIRECT Rolle's theorem

One consequence of Toda's theorem is that a polynomial-time machine with a # P oracle ( P < sup ># P </ sup >) can solve all problems in PH, the entire polynomial hierarchy.

# REDIRECT Stone – Weierstrass theorem

# REDIRECT Pythagorean theorem

# REDIRECT Nyquist – Shannon sampling theorem

# REDIRECT Nyquist – Shannon sampling theorem

# REDIRECT Nyquist – Shannon sampling theorem

# REDIRECT Noisy-channel coding theorem

# REDIRECT Brun's theorem

* Spectrum shifting in signal processing, see Discrete Fourier transform # The shift theorem

# REDIRECT Nyquist – Shannon sampling theorem

# REDIRECT Nyquist – Shannon sampling theorem