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Synchronize timetables to common time vector, and resample or aggregate data from input timetables

The `synchronize`

function collects
the variables from all input timetables, synchronizes them to a common
time vector, and returns the result as a single timetable. The effect
is similar to a horizontal concatenation, though the input timetables
can have different row times. When the `synchronize`

function
synchronizes timetable variables to different times, it also resamples
or aggregates the data in the variables using a method that you specify.

- example
`TT = synchronize(TT1,TT2)`

`TT = synchronize(TT1,TT2,___,Name,Value)`

`TT = synchronize(TT1,...,TTN,___)`

`TT = synchronize(`

creates
a timetable, `TT1,TT2`

)`TT`

, that contains all variables from
both the input timetables `TT1`

and `TT2`

,
synchronized to a vector of row times that is the union of the row
times from `TT1`

and `TT2`

. The
row times of `TT`

are in sorted order with no repeated
times.

In effect, `synchronize`

horizontally concatenates
the variables of `TT1`

and `TT2`

,
even when they have row times that differ. As a result, `synchronize`

inserts
a missing data indicator in `TT`

wherever it has:

A row time only from

`TT1`

but no corresponding data from the variables of`TT2`

.A row time only from

`TT2`

but no corresponding data from the variables of`TT1`

.

If `TT1`

and `TT2`

have variables
with the same names, then `synchronize`

renames them
and copies both variables into `TT`

.

`TT = synchronize(`

creates `TT1,TT2`

,`newTimeBasis`

,`method`

)`TT`

by
synchronizing the variables from `TT1`

and `TT2`

to
a new time vector specified by `newTimeBasis`

. `synchronize`

resamples
or aggregates data from the variables in `TT1`

and `TT2`

using
the operation specified by `method`

. The input argument, `newTimeBasis`

,
specifies how `synchronize`

constructs the row times
of `TT`

from the row times of `TT1`

and `TT2`

.

For example, if `newTimeBasis`

is `'union'`

and `method`

is `'linear'`

,
then `TT`

contains the row times from `TT1`

and `TT2`

,
and `synchronize`

uses linear interpolation to resample
the data from the input timetables to the output row times.

`TT = synchronize(`

creates `TT1,TT2`

,`newTimeStep`

,`method`

)`TT`

by
synchronizing the variables from `TT1`

and `TT2`

to
a new time vector that is regularly spaced by the time unit specified
by `newTimeStep`

.

For example, if `newTimeStep`

is `'daily'`

and `method`

is `'mean'`

,
then `TT`

contains row times that are one day apart,
and `TT`

contains daily means for each variable from `TT1`

and `TT2`

.

`TT = synchronize(`

creates `TT1,TT2`

,`newTimeBasis`

)`TT`

by
synchronizing the variables from `TT1`

and `TT2`

to
a new time vector. `synchronize`

inserts missing
data indicators where needed in `TT`

.

`TT = synchronize(`

creates `TT1,TT2`

,`newTimeStep`

)`TT`

by
synchronizing the variables from `TT1`

and `TT2`

to
a new time vector that is regularly spaced by the time unit specified
by `newTimeStep`

. The `synchronize`

function
inserts missing data indicators where needed in `TT`

.

`TT = synchronize(`

synchronizes
timetables with additional options specified by one or more `TT1,TT2`

,___,`Name,Value`

)`Name,Value`

pairs.
You can use this syntax with the input arguments of any of the previous
syntaxes.

`TT = synchronize(TT1,...,TTN,___)`

creates
the timetable, `TT`

, by synchronizing the `N`

timetables `TT1,...,TTN`

.
You can use this syntax with the input arguments of any of the previous
syntaxes.

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