# If G is any group acting smoothly on the manifold M, then it acts on the vector fields, and the vector space of vector fields fixed by the group is closed under the Lie bracket and therefore also forms a Lie algebra.

# Any tangent vector at the identity of a Lie group can be extended to a left invariant vector field by left translating the tangent vector to other points of the manifold.

# REDIRECT dimension ( vector space )

# Multivariate regression analysis attempts to determine a formula that can describe how elements in a vector of variables respond simultaneously to changes in others.

# The vector addition +: V × V → V is jointly continuous with respect to this topology.

# If n = 2k + 1, then the action of the unit vector u on the left ideal decomposes the space into a pair of isomorphic irreducible eigenspaces ( both denoted by Δ ), corresponding to the respective eigenvalues + 1 and − 1.

# REDIRECT dimension ( vector space )

Right: The reduction in flux passing through a surface can be visualized by reduction in F or dS equivalently ( resolved into Euclidean vector # Decomposition | components, θ is angle to normal n ).

# Move the nearest quantization vector centroid towards this sample point, by a small fraction of the distance

# Find the quantization vector centroid with the smallest < distance-sensitivity >

# The zero vector, 0, is in W.

# REDIRECT vector processor

# REDIRECT vector processor

# Null ( A ) always contains the zero vector, since A0 = 0.

# Grab an input vector

# Update the nodes in the neighborhood of the BMU ( including the BMU itself ) by pulling them closer to the input vector

# REDIRECT Support vector machine

# The cross product is left-and right-distributive over vector addition, though not commutative.

# REDIRECT dimension ( vector space )

Stephen Cohn, http :// books. google. com / books? id = wRCJwgmfhzYC & pg = PA161 & lpg = PA161 & dq = the + fall + of + absalom + rilke & source = bl & ots = E2J7SyG2cS & sig = sKxj2GkktYN_73QMiFTMtMG6fcA & hl = en & sa = X & ei =-- FaUNiGOO6B0AGt1YHACg & ved = 0CDcQ6AEwAw # v = onepage & q = the % 20fall % 20of % 20absalom % 20rilke & f = false ).

Retrieved at < http :// books. google. com / books? id = NztlWQeXf2IC & printsec = frontcover & dq = zhou + enlai & hl = en & ei = wBkuTdKyB4H_8AaJucigAQ & sa = X & oi = book_result & ct = result & resnum = 2 & ved = 0CCsQ6AEwAQ # v = onepage & q & f = false > on March 12, 2011. p. 38 </ ref > More liberal estimates regarding the White Terror in China, estimate it took millions of lives, most of them in the rural areas.

# REDIRECT Dartmouth College v. Woodward

" The Tao of John Quincy Adams: Or, The New Institutionalism and the new American republic " Common-Place v. 9 # 1 ( Oct 2008 ) online

* Adams, Michael C. C. " Robert E. Lee and Perspective over Time ," Civil War History v. 49 # 1 ( 2003 ) pp 64 – 70

" Republicanism and its Legacy ," European Journal of Political Theory ( 2005 ) v 4 # 4 pp 453 – 65. online version.

# REDIRECT United States v. Sun Myung Moon

# REDIRECT United States v. Sun Myung Moon

v. 16 # 2 ( 1999 ) pp 241 +.

# Janez Strnad, Poskusi v posebni in splošni teoriji relativnosti ( Experiments in Special and General Theory of Relativity ), ( DMFA SRS, Ljubljana 1977, pp 44 ).

# Janez Strnad, Na pot v kvantno elektrodinamiko ( On the way to the Quantum Electrodynamics ), ( DMFA SRS, Ljubljana 1986, pp 176 ).

# Janez Strnad, Prapok Prasnov požene v dir ( Primordial Bang drives Primordial Substance into a Gallop ), ( DZS, Ljubljana 1988, pp 81 ).

# Janez Strnad, Nenavadni interferenčni poskusi I. Interferenčni poskus s sevanjema v nasprotnih smereh ( Unusual interference experiments I.

# Janez Strnad, Fizika iz Karlsruheja: O novostih v poučevanju fizike ( The Karlsruhe physics course: On new approaches in physics teaching ), ( Obzornik mat, fiz.

# Janez Strnad, Rubinowicz v Ljubljani ( Rubinowics in Ljubljana ), ( Obzornik mat, fiz.

# Janez Strnad, O elektronih v atomu ( On electrons in atom ), ( Obzornik mat, fiz.

# redirectLemon v. Kurtzman # Lemon test

", Historically Speaking ( April 2010 ) v. 11 # 2 pp. 17 – 20, with responses pp. 20 – 27

# REDIRECT Eldred v. Ashcroft

# If u and v are elements of W, then the sum u + v is an element of W ;

# Given u and v in W, then they can be expressed as u = ( u < sub > 1 </ sub >, u < sub > 2 </ sub >, 0 ) and v = ( v < sub > 1 </ sub >, v < sub > 2 </ sub >, 0 ).

# The electrons are never in a single point location, although the probability of interacting with the electron at a single point can be found from the wave function of the electron.

# The length of the program InterpretLanguage, which we can take to be the constant c.

# that he who remains in love of God can commit no sin.

# Replacing permanently unplayable tiles-Per 1999 rules, players can replace permanently unplayable tile ( tiles that would merge safe corporations ) at the end of their turn.

# VBR-Variable bit rate: an average or Sustainable Cell Rate ( SCR ) is specified, which can peak at a certain level, a PCR, for a maximum interval before being problematic.

# The fourth stage can be detrimental, as Johnson cites it as a risk for premature death.

# Continue this process until the two records are in sync with each other, it can be difficult to sync the two records perfectly, so manual adjustment of the records is necessary to maintain the beat synchronization.

# Before fading in the new track, check that the beats of two tracks match by listening to both channels together in the headphones, as the sound from the speakers can reach you with a delay.

# The fade can be repeated several times, for example, from the first track, fade to the second track, then back to first, then to second again.

# Make sure patient is in an actual comatose state and is not mistaken for locked-in state ( patient will either be able to voluntarily move his eyes or blink ) or psychogenic unresponsiveness ( caloric stimulation of the vestibular apparatus will result in slow deviation of eyes towards the stimulation followed by rapid correction to mid-line ; this response can't be voluntarily suppressed: therefore, if the patient doesn't have this response, then psychogenic coma can be ruled out as a differential )

# associated performance issues, e. g., software context switching can be selective and store only those registers that need storing, whereas hardware context switching stores nearly all registers whether they're required or not.

Microsoft applied C # and CLI under the Community Promise, so anyone can safely implement those standards without fearing a patent lawsuit.

# A poly-T oligonucleotide primer is hybridized onto the poly-A tail of the mature mRNA template, or random hexamer primers can be added which contain every possible 6 base single strand of DNA and can therefore hybridize anywhere on the RNA ( Reverse transcriptase requires this double-stranded segment as a primer to start its operation.

# From the hairpin loop, a DNA polymerase can then use it as a primer to transcribe a complementary sequence for the ss cDNA.

# Reliability and constructiveness – they can be trusted to act constructively.

# A definition should not be negative where it can be positive.

It can be as simple as " finding the address of a person with SS # 123-45-6789 ," or more complex like " finding the average salary of all the employed married men in California between the ages 30 to 39, that earn less than their wives.

It can be as simple as " finding the address of a person with SS # 123-45-6789 ," or more complex like " finding the average salary of all the employed married men in California between the ages 30 to 39, that earn less than their wives.

# Present contradictions ( ideology versus reality ): " How can he preach love when he exploits people?

# Any real number can be added to both sides.

# Any real number can be subtracted from both sides.

# Any real number can be multiplied to both sides.

# Any non-zero real number can divide both sides.

# Some functions can be applied to both sides.