# B → a-where B is a non-terminal in N and a is a terminal in Σ

# B → aC-where B and C are in N and a is in Σ

# A → a-where A is a non-terminal in N and a is a terminal in Σ

# A → Ba-where A and B are in N and a is in Σ

# Σ is closed under complementation: If A is in Σ, then so is its complement,

The SVD decomposes M into three simple transformations: a Rotation matrix | rotation V < sup >*</ sup >, a Scaling matrix | scaling Σ along the rotated coordinate axes and a second rotation U. The lengths σ < sub > 1 </ sub > and σ < sub > 2 </ sub > of the Ellipse # Elements of an ellipse | semi-axes of the ellipse are the singular value s of M.

The SVD decomposes M into three simple transformations: a Rotation matrix | rotation V < sup >*</ sup >, a scaling ( geometry ) | scaling Σ along the rotated coordinate axes and a second rotation U. Σ is a diagonal matrix containing in its diagonal the singular values of M, which represent the lengths σ < sub > 1 </ sub > and σ < sub > 2 </ sub > of the Ellipse # Elements of an ellipse | semi-axes of the ellipse.

Let Σ be an alphabet, # a symbol not in Σ.

Using equation derived in # Link to reaction rate and interpretation, the reaction rate per unit volume R can be derived using only the neutron flux Φ and the macroscopic cross section Σ:

# As exploratory data analysis, an ANOVA is an organization of an additive data decomposition, and its sums of squares indicate the variance of each component of the decomposition ( or, equivalently, each set of terms of a linear model ).

# Closely related to the ANOVA is a linear model fit with coefficient estimates and standard errors.

# The accused person ( defendant ) is addressed by name ;

# The charge against the accused person is read, including the alleged date, time, and place of offense ; and,

# The accused person is asked formally how he or she pleads.

# Assume the first item is largest.

# Look at each of the remaining items in the list and if it is larger than the largest item so far, make a note of it.

# The last noted item is the largest in the list when the process is complete.

# The Lambeth Conference ( first held in 1867 ) is the oldest international consultation.

# The Primates ' Meeting ( first met in 1979 ) is the most recent manifestation of international consultation and deliberation, having been first convened by Archbishop Donald Coggan as a forum for " leisurely thought, prayer and deep consultation ".

# Deontological ethics, notions based on ' rules ' i. e. that there is an obligation to perform the ' right ' action, regardless of actual consequences ( epitomized by Kant's notion of the Categorical Imperative )

# A Murder is Announced ( 1950 )

# Civil aviation, held by Armavia national airline ( owned by Mikhail Baghdasarov, who is thought to be close to President Serge Sarkisian )

# There is always an integer number of electrons orbiting the nucleus.

# The Slater-type orbital ( STO ) is a form without radial nodes but decays from the nucleus as does the hydrogen-like orbital.

# A person who is skilled at some activity.

# unaided by the Holy Spirit, no person is able to respond to God ’ s will ;

# grace is resistible ; and

# Prior to being drawn and enabled, one is unable to believe … able only to resist.

# Having been drawn and enabled, but prior to regeneration, one is able to believe … able also to resist.

# After one believes, God then regenerates ; one is able to continue believing … able also to resist.

# Upon resisting to the point of unbelief, one is unable again to believe … able only to resist.

# The carbon-hydrogen ratio is high.

# It is easily harvested.

# Lebesgue measure is strictly positive on non-empty open sets, and so its support is the whole of R < sup > n </ sup >.

if heap > 0: # Empty any ( non-empty ) heap

# Iterate over the pigeonhole array in order, and put elements from non-empty pigeonholes back into the original array.

# Sort each non-empty bucket.

# the order on R is complete, in the sense that every non-empty bounded subset has a supremum and an infimum ;

# every collection of mutually disjoint non-empty open intervals in R is countable ( this is the countable chain condition, ccc ).

# No non-empty proper subset of S fulfills the first property.

# The collection of open sets consisting of all finite intersections of elements of B, together with the set X and the empty set, forms a basis for T. This means that every non-empty proper open set in T can be written as a union of finite intersections of elements of B.

# The ordering is a well ordering ( every non-empty set of monomials has a minimal element ).

# ( Accessibility Property ) Every non-empty feasible set X contains an element x such that X

# Next, as long as S < sub > 4 </ sub > is non-empty, we pop v from S < sub > 4 </ sub > and delete v from the graph, pushing it onto S < sub > d </ sub >, along with a list of its neighbors at this point in time.