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Multi-
index notation is a
mathematical notation that
simplifies formulas used in
multivariable calculus,
partial differential equations and the theory...
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hierarchical indices with
multiple values per data point. An
index with this structure,
called a "
MultiIndex",
allows a
single DataFrame to
represent multiple dimensions...
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effective propagation distances.
Multi-mode
fibers may be
constructed with
either graded or step-
index profile. In addition,
multi-mode
fibers are described...
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multiplication as a sum of
outer products. The
generalized Kronecker delta or
multi-
index Kronecker delta of
order 2 p {\displaystyle 2p} is a type ( p , p ) {\displaystyle...
- variables,
which consists in
substituting by 1 the
extra variable. The
multi-
index notation is
often useful for
having a
compact notation,
specially when...
- A
database composite index or
multi-column
index is an
index that is
based on
several columns. "MySQL 5.0
Reference Manual". v t e...
- general,
where the
valid range of each
index depends on the
values of all
preceding indices. This
representation for
multi-dimensional
arrays is
quite prevalent...
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common notation for the
wedge product of
elementary k-forms is so
called multi-
index notation: in an n-dimensional context, for I = ( i 1 , i 2 , … , i k...
- \nu \cdots \zeta }C^{\mu \nu \cdots \zeta }\end{aligned}}} When
using multi-
index notation, an
underarrow is
placed underneath the
block of indices: A...
- fixed, if the size of
multi-indices is
omitted then the size
should be ****umed to be n {\displaystyle n} ). The
length of a
multi-
index α = ( α 1 , … , α...