# NearestTo

NearestTo[x]

is an operator form that yields Nearest[elems,x] when applied to a list elems.

NearestTo[x,n]

is an operator form that yields Nearest[elems,x,n] when applied to a list elems.

NearestTo[x,{n,r}]

is an operator form that yields Nearest[elems,x,{n,r}] when applied to a list elems.

# Details and Options • NearestTo works for a variety of data, including numerical, geospatial, textual and visual, as well as dates and times.
• NearestTo[x][elems] is equivalent to NearestTo[elems,x].
• NearestTo[x,nr][elems] is equivalent to NearestTo[elems,x,nr], where nr is an integer n or a pair {n,r}.
• NearestTo[x][nf] for a NearestFunction object nf is equivalent to nf[x].
• NearestTo[x,nr][nf] for a NearestFunction object nf is equivalent to nf[x,nr], where nr is an integer n or a pair {n,r}.

# Examples

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## Basic Examples(4)

Find the element nearest to 20:

Find the 3 elements nearest to 20:

Find which element is nearest to {2,3} in 2D:

Find nearest colors:

Find nearest strings:

## Scope(6)

Give the 3 nearest elements:

Give the elements within radius 2:

Give at most 3 nearest elements within radius 2:

Apply NearestTo to a NearestFunction expression:

The same result can be obtained by direct application of nf:

Return the index for the nearest string:

Return an Association giving the string element, index and distance:

Find the 3 elements nearest to 20, simultaneously reporting the elements and their distance to 20:

Find which element is nearest to {2,3} in 2D and return the appropriate label:

Compute the same result using an Association:

Find the element whose density is closest to a given value:

## Options(1)

### DistanceFunction(1)

By default, normal Euclidean distance is used for points:

Use the ManhattanDistance, which sums the length of each side:

The ChessboardDistance only takes into account the dimension with the largest separation:

## Applications(3)

Find nearest words in a dictionary:

Find the nearest image partition to a subimage:

Take the polygon of Mexico:

Compute the nearest of the points of that polygon from your current geo location:

Draw the geodesic from your location to that point:

## Properties & Relations(2)

In the case of a tie, all nearest elements are returned in order:

NearestTo[x][elems] effectively reverses the order of the first two arguments of Nearest: