# It is the Gram matrix of linearly independent vectors.

# Randomize the map's nodes ' weight vectors

# By beetle vectors which carry the fungus from tree to tree — the beetle does not kill the tree, the fungus it carries does.

# U preserves the inner product 〈, 〉 of the Hilbert space, i. e., for all vectors x and y in the Hilbert space,, and

# ( need not be the general identity matrix, but it maps all column vectors of to themselves );

# Lexicographic code: Order the vectors in V lexicographically ( i. e., interpret them as unsigned 24-bit binary integers and take the usual ordering ).

# redirect covariance and contravariance of vectors

# We recall something that should be obvious, that is the composing and composed matrices are supposed to act on the coordinates of vectors defined in the initial fixed world axis and give as a result the coordinates in the same system of a rotated vector, rotation primarily interpreted extrinsicly, but to which we can give globally an equivalent intrinsic interpretation.

# Factor the b < sub > i </ sub > and generate exponent vectors mod 2 for each one.

# Use linear algebra to find a subset of these vectors which add to the zero vector.

# REDIRECT orbital state vectors # Position vector

# REDIRECT orbital state vectors # Velocity vector

# Determining the feasibility of a particular set of attack vectors

# Linear maps L ( X, Y ) between vector spaces X, Y are rigid in the sense that any L ∈ L ( X, Y ) is completely determined by its values on any set of basis vectors of X.

# Collatz – Wielandt formula: for all non-negative non-zero vectors x, let f ( x ) be the minimum value of < sub > i </ sub > / x < sub > i </ sub > taken over all those i such that x < sub > i </ sub > ≠ 0.

# A " Min-max " Collatz – Wielandt formula takes a form similar to the one above: for all strictly positive vectors x, let g ( x ) be the maximum value of < sub > i </ sub > / x < sub > i </ sub > taken over i. Then g is a real valued function whose minimum is the Perron – Frobenius eigenvalue.

* RSA PKCS # 5 – RSA Laboratories PKCS # 5 v2. 0-Multiple Formats, and test vectors.

* Linear algebra classes with support for sparse matrices and vectors ( with a F # friendly interface ).

# The ability to display collision assessment information directly on the Plan Position Indicator ( PPI ), using vectors ( true or relative ) or a graphical Predicted Area of Danger ( PAD ) display.

# If r is integral, 1-Lipschitz, and then r is the rank-function of a matroid, and the polymatroid is the independent set polytope, so-called since Edmonds showed it is the convex hull of the characteristic vectors of all independent sets of the matroid.

# a nondegenerate 2-form ω which preserves J and is positive-definite in the sense that ω ( u, Ju ) > 0 for all nonzero real tangent vectors u.

# Comparisons of mean squares, along with F-tests ... allow testing of a nested sequence of models.

The C # programming language, along with other. NET-languages, has both the unsigned byte ( named ) and the signed byte ( named ), holding values from 0 to 255 and-128 to 127, respectively.

# boatman-like bodhisattva-one who aspires to achieve buddhahood along with other sentient beings and

# Reverse transcriptase is added, along with deoxynucleotide triphosphates ( A, T, G, C ).

# Mangroves – Natural forests with > 30 % canopy cover, composed of species of mangrove tree, generally along coasts in or near brackish or seawater.

# Plano-polar, in which points in a plane are defined by a distance from a specified point along a ray having a specified direction with respect to a base line or axis ;

Asterisks along branches correspond to Clade # Clade definition | node values of more than 90 percent Resampling ( statistics ) | bootstrap support.

Though the show had respectable ratings ( it sat at # 16 for the 1970-71 season ), it was dropped in July 1971 by CBS as part of the so-called " Rural Purge " ( along with fellow country-themed shows The Beverly Hillbillies, Mayberry R. F. D.

# P. onca palustris ( the largest subspecies, weighing more than 135 kg or 300 lb ): The Pantanal regions of Mato Grosso and Mato Grosso do Sul, Brazil, along the Paraguay River into Paraguay and northeastern Argentina.

Durgapur along with Rourkela Steel Plant | Rourkela and Bhilai Steel Plant | Bhilai were the three integrated steel plants set up under India's Five-Year Plans of India # Second Five-Year Plan ( 1956 – 1961 ) | Second Five-Year Plan in the late 1950s.

# A line painted along the long axis of the table to create doubles courts bisects the table.

Solar System # Inner Solar System | Inner solar system diagram showing the Trojan asteroids ( coloured green ) in front of and behind Jupiter along its orbital path.

# Convert the Eulerian circuit of into a Hamiltonian cycle of in the following way: walk along, and each time you are about to come into an already visited vertex, skip it and try to go to the next one ( along ).

# Primacy of the Mythic: The creative Imagination, an external world of symbols, glyphs, myths, synchronicities and the myriad, along with image, all as a universal reality for the interplay conjoined by creative mind.

# Regime formation: branching out from the US clean air policy to global climate policy, and from there to the European Union, along with the expectation of an emerging global carbon market and the formation of the " carbon industry ".

# The financial district proper — particularly along John Street

# South of the World Trade Center area — the handful of blocks south of the World Trade Center along Greenwich, Washington and West Streets

While not purely a hardware synth, the DS-XG sound cards based on the Yamaha YMF-7 # 4 family of audio chipsets ( including 724, 744, 754, and 764 ), including the Yamaha WaveForce 192 ( SW192XG ) as well as many from other manufacturers and even some PC motherboards with such an audio chipset, included hardware-assisted software VL physical modelling ( like a VL70m or PLG-VL, and compatible with same ) along with the Yamaha XG, wave audio, and 3D gaming sound capabilities of the chipset.

# Temple offering ( קרבן ): On the seven days of Sukkot, the additional ( מוסף ) offerings included 2 rams and 14 lambs each day, along with a series of 70 bulls in decreasing numbers over the week.

# The traditional type, where the tracks and trains run along the streets and share space with road traffic.

# A more modern variation, where the trains tend to run along their own right-of-way and are often separated from road traffic.

# Its direction, which is along the orientation of a compass needle.

# Its magnitude ( also called strength ), which is proportional to how strongly the compass needle orients along that direction.