|
RPN (band)
RPN may refer to: Science and technology *Real projective space (\mathbb\mathrm^n,), a type of topological space *Reverse Polish notation, a.k.a. postfix notation, a mathematical notation *Registered Parameter Number, in MIDI *Recherche en Prévision Numérique, weather forecasting research service, Canada *Risk priority number in failure analysis such as FMEA, taking into account the severity, probability and detection probability of a failure event Nursing *Registered practical nurse, nursing title *Registered psychiatric nurse, nursing title specialising mental health Other uses *Radio Philippines Network, Channel 9 *Rosh Pina Airport (IATA code), Israel * (National Housing Programme), public housing in Brunei {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Real Projective Space
In mathematics, real projective space, denoted or is the topological space of lines passing through the origin 0 in It is a compact, smooth manifold of dimension , and is a special case of a Grassmannian space. Basic properties Construction As with all projective spaces, RP''n'' is formed by taking the quotient of under the equivalence relation for all real numbers . For all ''x'' in one can always find a ''λ'' such that ''λx'' has norm 1. There are precisely two such ''λ'' differing by sign. Thus RP''n'' can also be formed by identifying antipodal points of the unit ''n''-sphere, ''S''''n'', in R''n''+1. One can further restrict to the upper hemisphere of ''S''''n'' and merely identify antipodal points on the bounding equator. This shows that RP''n'' is also equivalent to the closed ''n''-dimensional disk, ''D''''n'', with antipodal points on the boundary, , identified. Low-dimensional examples * RP1 is called the real projective line, which is topologically equ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |