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Page "Normed vector space" ¶ 19
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# and scalar
# If u is an element of W and c is a scalar from K, then the scalar product cu is an element of W ;
# Given u in W and a scalar c in R, if u = ( u < sub > 1 </ sub >, u < sub > 2 </ sub >, 0 ) again, then cu = ( cu < sub > 1 </ sub >, cu < sub > 2 </ sub >, c0 ) = ( cu < sub > 1 </ sub >, cu < sub > 2 </ sub >, 0 ).
# Let p = ( p < sub > 1 </ sub >, p < sub > 2 </ sub >) be an element of W, that is, a point in the plane such that p < sub > 1 </ sub > = p < sub > 2 </ sub >, and let c be a scalar in R. Then cp = ( cp < sub > 1 </ sub >, cp < sub > 2 </ sub >); since p < sub > 1 </ sub > = p < sub > 2 </ sub >, then cp < sub > 1 </ sub > = cp < sub > 2 </ sub >, so cp is an element of W.
# If x ∈ Null ( A ) and c is a scalar, then c x ∈ Null ( A ), since ( cA ) x = c ( Ax ).
# rules that determine the scalar immediate reward of a transition ; and
# If h ( t ) is a non-zero scalar function of t, then Z ( t )
# If f ( t ) is a non-decreasing scalar function of t, then Z ( t ) =
# There exists a non-zero scalar function h ( t ) and a non-decreasing scalar function f ( t ) such that X ( t ) = h ( t ) W ( f ( t )), where W ( t ) is the standard Wiener process.
# The n-dimensional torus does not admit a metric with positive scalar curvature.
# If the injectivity radius of a compact n-dimensional Riemannian manifold is ≥ π then the average scalar curvature is at most n ( n-1 ).
# The only scalar multiples of a root α ∈ Φ that belong to Φ are α itself and – α.
# the scalar curvature: R
# REDIRECT scalar curvature
# 32nd-note pattern on scalar melody
# p is positive homogeneous or positive scalable: p ( λx ) = | λ | p ( x ) for every scalar λ.
In scalar languages like C, C # and Pascal, etc.
# You cannot cleanly define what may mean, due to the fact the O notation is about growth of functions, but to the left hand and the right hand side of the relation, there are scalar values, and you cannot decide whether the relation holds if you look at particular function values.
# redirectMagnetic potential # Magnetic scalar potential
# The Einstein tensor must match the stress-energy tensor for the scalar field, which in the simplest case, a minimally coupled massless scalar field, can be written

# and multiplication
# REDIRECT Ancient Egyptian multiplication
# Matrix multiplication is distributive over matrix addition, though also not commutative.
# REDIRECT matrix multiplication
However, if only # is B-smooth for some divisor of, the product might not be ( 0: 1: 0 ) because addition and multiplication are not well-defined if is not prime.
# Scalar multiplication in V is continuous with respect to d and the standard metric on R or C.
# Production ( Appearance, creation, multiplication )
# Pointwise multiplication
# REDIRECT Ancient Egyptian multiplication
# REDIRECT Ancient Egyptian multiplication
# REDIRECT Ancient Egyptian multiplication # Peasant multiplication
# proved that if E is a curve over a number field F with complex multiplication by an imaginary quadratic field K of class number 1, F = K or Q, and L ( E, 1 ) is not 0 then E ( F ) is a finite group.
# showed that for elliptic curves defined over an imaginary quadratic field K with complex multiplication by K, if the L-series of the elliptic curve was not zero at s = 1, then the p-part of the Tate – Shafarevich group had the order predicted by the Birch and Swinnerton-Dyer conjecture, for all primes p > 7.
# where R < sub > g </ sub > denotes right multiplication by g ;
where is the number of ways to distribute cards between hands of two cards each .< ref name =" prod " group =" Note "> See " Capital Pi notation for multiplication " for a description of the ( capital π or pi ) symbol .</ ref > is the factorial # Double factorial | double factorial operator: ( 2n-1 )!!
# REDIRECT multiplication table
# R is a principal ideal domain with a unique irreducible element ( up to multiplication by units ).
# R is a unique factorization domain with a unique irreducible element ( up to multiplication by units ).
# REDIRECT Matrix multiplication
# REDIRECT Force multiplication
# REDIRECT multiplication table
# the severity of the infection: less serious infection ( contained multiplication of microbes ) or possibly life-threatening sepsis ( uncontrolled and uncontained multiplication of microbes throughout the blood stream ).

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| rowspan =" 2 " style =" background-color: # f9f9f9 ;" | W · – –
| style =" background-color: # f9f9f9 ;" | J · – – –
| style =" background-color: # f1f1f1 ;" | P · – – ·
| rowspan =" 2 " style =" background-color: # f1f1f1 ;" | R ··
| style =" background-color: # f9f9f9 ;" | Ä ··
| style =" background-color: # f1f1f1 ;" | L ·· ·
| rowspan =" 4 " style =" background-color: # f1f1f1 ;" | I · ·
| rowspan =" 2 " style =" background-color: # f9f9f9 ;" | U · ·
| style =" background-color: # f9f9f9 ;" | Ü · · – –
| style =" background-color: # f1f1f1 ;" | F · ··
| rowspan =" 2 " style =" background-color: # f1f1f1 ;" | S · · ·

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