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Scatter and line plots on Geo maps

Binder  Notebook

Summary: This example shows how to create Point and Line charts on geo maps in F#.

Let's first create some data for the purpose of creating example charts:

open Plotly.NET

let cityNames =
    [ "Montreal"
      "Toronto"
      "Vancouver"
      "Calgary"
      "Edmonton"
      "Ottawa"
      "Halifax"
      "Victoria"
      "Winnepeg"
      "Regina" ]

let lon =
    [ -73.57
      -79.24
      -123.06
      -114.1
      -113.28
      -75.43
      -63.57
      -123.21
      -97.13
      -104.6 ]

let lat = [ 45.5; 43.4; 49.13; 51.1; 53.34; 45.24; 44.64; 48.25; 49.89; 50.45 ]

The simplest type of geo plot is plotting the (lon,lat) pairs of a location via Chart.PointGeo. Here is an example using the location of Canadian cities:

open Plotly.NET.LayoutObjects

let pointGeo =
    Chart.PointGeo(
        longitudes = lon,
        latitudes = lat,
        MultiText = cityNames,
        TextPosition = StyleParam.TextPosition.TopCenter
    )
    |> Chart.withGeoStyle (
        Scope = StyleParam.GeoScope.NorthAmerica,
        Projection = GeoProjection.init (StyleParam.GeoProjectionType.AzimuthalEqualArea),
        CountryColor = Color.fromString "lightgrey"
    )
    |> Chart.withMarginSize (0, 0, 0, 0)

To connect the given (lon,lat) pairs via straight lines, use Chart.LineGeo. Below is an example that pulls external data as a Deedle data frame containing the source and target locations of American Airlines flights from Feb. 2011:

open Deedle
open System.IO
open System.Text

let data =
    __SOURCE_DIRECTORY__ + "/../data/2011_february_aa_flight_paths.csv"
    |> fun csv -> Frame.ReadCsv(csv, true, separators = ",")

let opacityVals: float[] =
    data.["cnt"]
    |> Series.values
    |> fun s -> s |> Seq.map (fun v -> v / (Seq.max s)) |> Array.ofSeq

let startCoords = Series.zipInner data.["start_lon"] data.["start_lat"]
let endCoords = Series.zipInner data.["end_lon"] data.["end_lat"]
let coords = Series.zipInner startCoords endCoords |> Series.values

let flights =
    coords
    |> Seq.mapi (fun i (startCoords, endCoords) ->
        Chart.LineGeo(
            lonlat = [ startCoords; endCoords ],
            Opacity = opacityVals.[i],
            MarkerColor = Color.fromString "red"
        ))
    |> Chart.combine
    |> Chart.withLayoutStyle (ShowLegend = false)
    |> Chart.withGeoStyle (
        Scope = StyleParam.GeoScope.NorthAmerica,
        Projection = GeoProjection.init (StyleParam.GeoProjectionType.AzimuthalEqualArea),
        ShowLand = true,
        LandColor = Color.fromString "lightgrey"
    )
    |> Chart.withMarginSize (0, 0, 50, 0)
    |> Chart.withTitle "Feb. 2011 American Airline flights"
No value returned by any evaluator
namespace Plotly
namespace Plotly.NET
module Defaults from Plotly.NET
<summary> Contains mutable global default values. Changing these values will apply the default values to all consecutive Chart generations. </summary>
val mutable DefaultDisplayOptions: Plotly.NET.DisplayOptions
Multiple items
type DisplayOptions = inherit DynamicObj new: unit -> DisplayOptions static member addAdditionalHeadTags: additionalHeadTags: XmlNode list -> (DisplayOptions -> DisplayOptions) static member addChartDescription: description: XmlNode list -> (DisplayOptions -> DisplayOptions) static member combine: first: DisplayOptions -> second: DisplayOptions -> DisplayOptions static member getAdditionalHeadTags: displayOpts: DisplayOptions -> XmlNode list static member getChartDescription: displayOpts: DisplayOptions -> XmlNode list static member getDocumentCharset: displayOpts: DisplayOptions -> string static member getDocumentDescription: displayOpts: DisplayOptions -> string static member getDocumentFavicon: displayOpts: DisplayOptions -> XmlNode ...

--------------------
new: unit -> Plotly.NET.DisplayOptions
static member Plotly.NET.DisplayOptions.init: ?DocumentTitle: string * ?DocumentCharset: string * ?DocumentDescription: string * ?DocumentFavicon: Giraffe.ViewEngine.HtmlElements.XmlNode * ?AdditionalHeadTags: Giraffe.ViewEngine.HtmlElements.XmlNode list * ?ChartDescription: Giraffe.ViewEngine.HtmlElements.XmlNode list * ?PlotlyJSReference: Plotly.NET.PlotlyJSReference -> Plotly.NET.DisplayOptions
type PlotlyJSReference = | CDN of string | Full | Require of string | NoReference
<summary> Sets how plotly is referenced in the head of html docs. </summary>
union case Plotly.NET.PlotlyJSReference.NoReference: Plotly.NET.PlotlyJSReference
val cityNames: string list
val lon: float list
val lat: float list
namespace Plotly.NET.LayoutObjects
val pointGeo: GenericChart
type Chart = static member Bubble: x: #IConvertible seq * y: #IConvertible seq * sizes: int seq * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'c * ?MultiText: 'c seq * ?TextPosition: TextPosition * ?MultiTextPosition: TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: MarkerSymbol * ?MultiMarkerSymbol: MarkerSymbol seq * ?Marker: Marker * ?LineColor: Color * ?LineColorScale: Colorscale * ?LineWidth: float * ?LineDash: DrawingStyle * ?Line: Line * ?AlignmentGroup: string * ?OffsetGroup: string * ?StackGroup: string * ?Orientation: Orientation * ?GroupNorm: GroupNorm * ?UseWebGL: bool * ?UseDefaults: bool -> GenericChart (requires 'c :> IConvertible) + 2 overloads static member Line: x: #IConvertible seq * y: #IConvertible seq * ?ShowMarkers: bool * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'c * ?MultiText: 'c seq * ?TextPosition: TextPosition * ?MultiTextPosition: TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: MarkerSymbol * ?MultiMarkerSymbol: MarkerSymbol seq * ?Marker: Marker * ?LineColor: Color * ?LineColorScale: Colorscale * ?LineWidth: float * ?LineDash: DrawingStyle * ?Line: Line * ?AlignmentGroup: string * ?OffsetGroup: string * ?StackGroup: string * ?Orientation: Orientation * ?GroupNorm: GroupNorm * ?Fill: Fill * ?FillColor: Color * ?FillPattern: Pattern * ?UseWebGL: bool * ?UseDefaults: bool -> GenericChart (requires 'c :> IConvertible) + 2 overloads static member Point: x: #IConvertible seq * y: #IConvertible seq * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'c * ?MultiText: 'c seq * ?TextPosition: TextPosition * ?MultiTextPosition: TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: MarkerSymbol * ?MultiMarkerSymbol: MarkerSymbol seq * ?Marker: Marker * ?AlignmentGroup: string * ?OffsetGroup: string * ?StackGroup: string * ?Orientation: Orientation * ?GroupNorm: GroupNorm * ?UseWebGL: bool * ?UseDefaults: bool -> GenericChart (requires 'c :> IConvertible) + 2 overloads static member Range: x: #IConvertible seq * y: #IConvertible seq * upper: #IConvertible seq * lower: #IConvertible seq * mode: Mode * ?Name: string * ?GroupName: string * ?ShowMarkers: bool * ?ShowLegend: bool * ?Text: 'e * ?MultiText: 'e seq * ?TextPosition: TextPosition * ?MultiTextPosition: TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: MarkerSymbol * ?MultiMarkerSymbol: MarkerSymbol seq * ?Marker: Marker * ?UpperMarker: Marker * ?LowerMarker: Marker * ?LineColor: Color * ?LineColorScale: Colorscale * ?LineWidth: float * ?LineDash: DrawingStyle * ?Line: Line * ?UpperLine: Line * ?LowerLine: Line * ?RangeColor: Color * ?RangePattern: Pattern * ?UpperText: 'f * ?MultiUpperText: 'f seq * ?LowerText: 'g * ?MultiLowerText: 'g seq * ?TextFont: Font * ?LowerName: string * ?UpperName: string * ?UseDefaults: bool -> GenericChart (requires 'e :> IConvertible and 'f :> IConvertible and 'g :> IConvertible) + 2 overloads static member Scatter: ?X: 'a seq * ?XEncoded: EncodedTypedArray * ?MultiX: 'a seq seq * ?Y: 'b seq * ?YEncoded: EncodedTypedArray * ?MultiY: 'b seq seq * ?Mode: Mode * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'c * ?MultiText: 'c seq * ?TextPosition: TextPosition * ?MultiTextPosition: TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: MarkerSymbol * ?MultiMarkerSymbol: MarkerSymbol seq * ?Marker: Marker * ?LineColor: Color * ?LineColorScale: Colorscale * ?LineWidth: float * ?LineDash: DrawingStyle * ?Line: Line * ?AlignmentGroup: string * ?OffsetGroup: string * ?StackGroup: string * ?Orientation: Orientation * ?GroupNorm: GroupNorm * ?Fill: Fill * ?FillColor: Color * ?FillPattern: Pattern * ?UseWebGL: bool * ?UseDefaults: bool -> GenericChart (requires 'a :> IConvertible and 'b :> IConvertible and 'c :> IConvertible) + 3 overloads static member Spline: x: #IConvertible seq * y: #IConvertible seq * ?ShowMarkers: bool * ?Smoothing: float * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'c * ?MultiText: 'c seq * ?TextPosition: TextPosition * ?MultiTextPosition: TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: MarkerSymbol * ?MultiMarkerSymbol: MarkerSymbol seq * ?Marker: Marker * ?LineColor: Color * ?LineColorScale: Colorscale * ?LineWidth: float * ?LineDash: DrawingStyle * ?Line: Line * ?AlignmentGroup: string * ?OffsetGroup: string * ?StackGroup: string * ?Orientation: Orientation * ?GroupNorm: GroupNorm * ?Fill: Fill * ?FillColor: Color * ?FillPattern: Pattern * ?UseWebGL: bool * ?UseDefaults: bool -> GenericChart (requires 'c :> IConvertible) + 2 overloads
static member Chart.PointGeo: locations: string seq * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'a * ?MultiText: 'a seq * ?TextPosition: StyleParam.TextPosition * ?MultiTextPosition: StyleParam.TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: StyleParam.Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: StyleParam.MarkerSymbol * ?MultiMarkerSymbol: StyleParam.MarkerSymbol seq * ?Marker: TraceObjects.Marker * ?LocationMode: StyleParam.LocationFormat * ?GeoJson: obj * ?FeatureIdKey: string * ?UseDefaults: bool -> GenericChart (requires 'a :> System.IConvertible)
static member Chart.PointGeo: lonlat: (#System.IConvertible * #System.IConvertible) seq * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'c * ?MultiText: 'c seq * ?TextPosition: StyleParam.TextPosition * ?MultiTextPosition: StyleParam.TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: StyleParam.Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: StyleParam.MarkerSymbol * ?MultiMarkerSymbol: StyleParam.MarkerSymbol seq * ?Marker: TraceObjects.Marker * ?LocationMode: StyleParam.LocationFormat * ?GeoJson: obj * ?FeatureIdKey: string * ?UseDefaults: bool -> GenericChart (requires 'c :> System.IConvertible)
static member Chart.PointGeo: longitudesEncoded: EncodedTypedArray * latitudesEncoded: EncodedTypedArray * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'a * ?MultiText: 'a seq * ?TextPosition: StyleParam.TextPosition * ?MultiTextPosition: StyleParam.TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: StyleParam.Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: StyleParam.MarkerSymbol * ?MultiMarkerSymbol: StyleParam.MarkerSymbol seq * ?Marker: TraceObjects.Marker * ?LocationMode: StyleParam.LocationFormat * ?GeoJson: obj * ?FeatureIdKey: string * ?UseDefaults: bool -> GenericChart (requires 'a :> System.IConvertible)
static member Chart.PointGeo: longitudes: #System.IConvertible seq * latitudes: #System.IConvertible seq * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'c * ?MultiText: 'c seq * ?TextPosition: StyleParam.TextPosition * ?MultiTextPosition: StyleParam.TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: StyleParam.Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: StyleParam.MarkerSymbol * ?MultiMarkerSymbol: StyleParam.MarkerSymbol seq * ?Marker: TraceObjects.Marker * ?LocationMode: StyleParam.LocationFormat * ?GeoJson: obj * ?FeatureIdKey: string * ?UseDefaults: bool -> GenericChart (requires 'c :> System.IConvertible)
module StyleParam from Plotly.NET
type TextPosition = | TopLeft | TopCenter | TopRight | MiddleLeft | MiddleCenter | MiddleRight | BottomLeft | BottomCenter | BottomRight | Auto ... member Convert: unit -> objnull override ToString: unit -> string static member convert: (TextPosition -> objnull) static member toString: (TextPosition -> string)
<summary> Sets the positions of the `text` elements. Note that not all options work for every type of trace, e.g. Pie Charts only support "inside" | "outside" | "auto" | "none" - Cartesian plots: Sets the positions of the `text` elements with respects to the (x,y) coordinates. - Pie Charts and derivatives: Specifies the location of the text with respects to the sector. </summary>
union case StyleParam.TextPosition.TopCenter: StyleParam.TextPosition
static member Chart.withGeoStyle: ?FitBounds: StyleParam.GeoFitBounds * ?Resolution: StyleParam.GeoResolution * ?Scope: StyleParam.GeoScope * ?Projection: GeoProjection * ?Center: (float * float) * ?Visible: bool * ?Domain: Domain * ?ShowCoastLines: bool * ?CoastLineColor: Color * ?CoastLineWidth: float * ?ShowLand: bool * ?LandColor: Color * ?ShowOcean: bool * ?OceanColor: Color * ?ShowLakes: bool * ?LakeColor: Color * ?ShowRivers: bool * ?RiverColor: Color * ?RiverWidth: float * ?ShowCountries: bool * ?CountryColor: Color * ?CountryWidth: float * ?ShowSubunits: bool * ?SubunitColor: Color * ?SubunitWidth: float * ?ShowFrame: bool * ?FrameColor: Color * ?FrameWidth: float * ?BgColor: Color * ?LatAxis: LinearAxis * ?LonAxis: LinearAxis * ?Id: int -> (GenericChart -> GenericChart)
type GeoScope = | World | Usa | Europe | Asia | Africa | NorthAmerica | SouthAmerica member Convert: unit -> objnull override ToString: unit -> string static member convert: (GeoScope -> objnull) static member toString: (GeoScope -> string)
union case StyleParam.GeoScope.NorthAmerica: StyleParam.GeoScope
Multiple items
type GeoProjection = inherit DynamicObj new: unit -> GeoProjection static member init: projectionType: GeoProjectionType * ?Rotation: GeoProjectionRotation * ?Parallels: (float * float) * ?Scale: float -> GeoProjection static member style: projectionType: GeoProjectionType * ?Rotation: GeoProjectionRotation * ?Parallels: (float * float) * ?Scale: float -> (GeoProjection -> GeoProjection)
<summary>Determines the map projection in geo traces.</summary>

--------------------
new: unit -> GeoProjection
static member GeoProjection.init: projectionType: StyleParam.GeoProjectionType * ?Rotation: GeoProjectionRotation * ?Parallels: (float * float) * ?Scale: float -> GeoProjection
type GeoProjectionType = | Airy | Aitoff | Albers | AlbersUSA | August | AzimuthalEqualArea | AzimuthalEquidistant | Baker | Bertin1953 | Boggs ... member Convert: unit -> objnull override ToString: unit -> string static member convert: (GeoProjectionType -> objnull) static member toString: (GeoProjectionType -> string)
union case StyleParam.GeoProjectionType.AzimuthalEqualArea: StyleParam.GeoProjectionType
type Color = override Equals: other: obj -> bool override GetHashCode: unit -> int static member fromARGB: a: int -> r: int -> g: int -> b: int -> Color static member fromColorScaleValues: c: #IConvertible seq -> Color static member fromColors: c: Color seq -> Color static member fromHex: s: string -> Color static member fromKeyword: c: ColorKeyword -> Color static member fromRGB: r: int -> g: int -> b: int -> Color static member fromString: c: string -> Color member Value: obj
<summary> Plotly color can be a single color, a sequence of colors, or a sequence of numeric values referencing the color of the colorscale obj </summary>
static member Color.fromString: c: string -> Color
static member Chart.withMarginSize: ?Left: 'a * ?Right: 'b * ?Top: 'c * ?Bottom: 'd * ?Pad: 'e * ?Autoexpand: 'f -> (GenericChart -> GenericChart)
type GenericChart = | Chart of data: Trace * layout: Layout * config: Config * displayOpts: DisplayOptions | MultiChart of data: Trace list * layout: Layout * config: Config * displayOpts: DisplayOptions static member addConfig: config: Config -> gChart: GenericChart -> GenericChart static member addDisplayOptions: displayOpts: DisplayOptions -> gChart: GenericChart -> GenericChart static member addLayout: layout: Layout -> gChart: GenericChart -> GenericChart static member combine: gCharts: GenericChart seq -> GenericChart static member countTrace: gChart: GenericChart -> int static member existsTrace: predicate: (Trace -> bool) -> gChart: GenericChart -> bool static member fromChartDTO: dto: ChartDTO -> GenericChart static member fromFigure: fig: Figure -> GenericChart static member getConfig: gChart: GenericChart -> Config static member getDisplayOptions: gChart: GenericChart -> DisplayOptions ...
<summary> The central type that gets created by all Chart constructors is GenericChart, which itself represents either a single chart or a multi chart (as a Discriminate Union type). A GenericChart consists of four top level objects: Trace (multiple of those in the case of a MultiChart), Layout, Config, and DisplayOptions. - `Trace` is in principle the representation of a dataset on a chart, including for example the data itself, color and shape of the visualization, etc. - `Layout` is everything of the chart that is not dataset specific - e.g. the shape and style of axes, the chart title, etc. - `Config` is an object that configures high level properties of the chart like making all chart elements editable or the tool bar on top - `DisplayOptions` is an object that contains meta information about how the html document that contains the chart. </summary>
static member GenericChart.toChartHTML: gChart: GenericChart -> string
namespace Deedle
namespace System
namespace System.IO
namespace System.Text
val data: Frame<int,string>
val csv: string
Multiple items
module Frame from Deedle
<summary> The `Frame` module provides an F#-friendly API for working with data frames. The module follows the usual desing for collection-processing in F#, so the functions work well with the pipelining operator (`|&gt;`). For example, given a frame with two columns representing prices, we can use `Frame.pctChange` to calculate daily returns like this: let df = frame [ "MSFT" =&gt; prices1; "AAPL" =&gt; prices2 ] let rets = df |&gt; Frame.pctChange 1 rets |&gt; Stats.mean Note that the `Stats.mean` operation is overloaded and works both on series (returning a number) and on frames (returning a series). You can also use `Frame.diff` if you need absolute differences rather than relative changes. The functions in this module are designed to be used from F#. For a C#-friendly API, see the `FrameExtensions` type. For working with individual series, see the `Series` module. The functions in the `Frame` module are grouped in a number of categories and documented below. Accessing frame data and lookup ------------------------------- Functions in this category provide access to the values in the fame. You can also add and remove columns from a frame (which both return a new value). - `addCol`, `replaceCol` and `dropCol` can be used to create a new data frame with a new column, by replacing an existing column with a new one, or by dropping an existing column - `cols` and `rows` return the columns or rows of a frame as a series containing objects; `getCols` and `getRows` return a generic series and cast the values to the type inferred from the context (columns or rows of incompatible types are skipped); `getNumericCols` returns columns of a type convertible to `float` for convenience. - You can get a specific row or column using `get[Col|Row]` or `lookup[Col|Row]` functions. The `lookup` variant lets you specify lookup behavior for key matching (e.g. find the nearest smaller key than the specified value). There are also `[try]get` and `[try]Lookup` functions that return optional values and functions returning entire observations (key together with the series). - `sliceCols` and `sliceRows` return a sub-frame containing only the specified columns or rows. Finally, `toArray2D` returns the frame data as a 2D array. Grouping, windowing and chunking -------------------------------- The basic grouping functions in this category can be used to group the rows of a data frame by a specified projection or column to create a frame with hierarchical index such as <c>Frame&lt;'K1 * 'K2, 'C&gt;</c>. The functions always aggregate rows, so if you want to group columns, you need to use `Frame.transpose` first. The function `groupRowsBy` groups rows by the value of a specified column. Use `groupRowsBy[Int|Float|String...]` if you want to specify the type of the column in an easier way than using type inference; `groupRowsUsing` groups rows using the specified _projection function_ and `groupRowsByIndex` projects the grouping key just from the row index. More advanced functions include: `aggregateRowsBy` which groups the rows by a specified sequence of columns and aggregates each group into a single value; `pivotTable` implements the pivoting operation [as documented in the tutorials](../frame.html#pivot). The `melt` and `unmelt` functions turn the data frame into a single data frame containing columns `Row`, `Column` and `Value` containing the data of the original frame; `unmelt` can be used to turn this representation back into an original frame. The `stack` and `unstack` functions implement pandas-style reshape operations. `stack` converts `Frame&lt;'R,'C&gt;` to a long-format `Frame&lt;'R*'C, string&gt;` where each cell becomes a row keyed by `(rowKey, colKey)` with a single `"Value"` column. `unstack` promotes the inner row-key level to column keys, producing `Frame&lt;'R1, 'C*'R2&gt;` from `Frame&lt;'R1*'R2,'C&gt;`. A simple windowing functions that are exposed for an entire frame operations are `window` and `windowInto`. For more complex windowing operations, you currently have to use `mapRows` or `mapCols` and apply windowing on individual series. Sorting and index manipulation ------------------------------ A frame is indexed by row keys and column keys. Both of these indices can be sorted (by the keys). A frame that is sorted allows a number of additional operations (such as lookup using the `Lookp.ExactOrSmaller` lookup behavior). The functions in this category provide ways for manipulating the indices. It is expected that most operations are done on rows and so more functions are available in a row-wise way. A frame can alwyas be transposed using `Frame.transpose`. Index operations: The existing row/column keys can be replaced by a sequence of new keys using the `indexColsWith` and `indexRowsWith` functions. Row keys can also be replaced by ordinal numbers using `indexRowsOrdinally`. The function `indexRows` uses the specified column of the original frame as the index. It removes the column from the resulting frame (to avoid this, use overloaded `IndexRows` method). This function infers the type of row keys from the context, so it is usually more convenient to use `indexRows[Date|String|Int|...]` functions. Finally, if you want to calculate the index value based on multiple columns of the row, you can use `indexRowsUsing`. Sorting frame rows: Frame rows can be sorted according to the value of a specified column using the `sortRows` function; `sortRowsBy` takes a projection function which lets you transform the value of a column (e.g. to project a part of the value). The functions `sortRowsByKey` and `sortColsByKey` sort the rows or columns using the default ordering on the key values. The result is a frame with ordered index. Expanding columns: When the frame contains a series with complex .NET objects such as F# records or C# classes, it can be useful to "expand" the column. This operation looks at the type of the objects, gets all properties of the objects (recursively) and generates multiple series representing the properties as columns. The function `expandCols` expands the specified columns while `expandAllCols` applies the expansion to all columns of the data frame. Frame transformations --------------------- Functions in this category perform standard transformations on data frames including projections, filtering, taking some sub-frame of the frame, aggregating values using scanning and so on. Projection and filtering functions such as `[map|filter][Cols|Rows]` call the specified function with the column or row key and an <c>ObjectSeries&lt;'K&gt;</c> representing the column or row. You can use functions ending with `Values` (such as `mapRowValues`) when you do not require the row key, but only the row series; `mapRowKeys` and `mapColKeys` can be used to transform the keys. You can use `reduceValues` to apply a custom reduction to values of columns. Other aggregations are available in the `Stats` module. You can also get a row with the greaterst or smallest value of a given column using `[min|max]RowBy`. The functions `take[Last]` and `skip[Last]` can be used to take a sub-frame of the original source frame by skipping a specified number of rows. Note that this does not require an ordered frame and it ignores the index - for index-based lookup use slicing, such as `df.Rows.[lo .. hi]`, instead. Finally the `shift` function can be used to obtain a frame with values shifted by the specified offset. This can be used e.g. to get previous value for each key using `Frame.shift 1 df`. The `diff` function calculates difference from previous value using `df - (Frame.shift offs df)`. Processing frames with exceptions --------------------------------- The functions in this group can be used to write computations over frames that may fail. They use the type <c>tryval&lt;'T&gt;</c> which is defined as a discriminated union with two cases: Success containing a value, or Error containing an exception. Using <c>tryval&lt;'T&gt;</c> as a value in a data frame is not generally recommended, because the type of values cannot be tracked in the type. For this reason, it is better to use <c>tryval&lt;'T&gt;</c> with individual series. However, `tryValues` and `fillErrorsWith` functions can be used to get values, or fill failed values inside an entire data frame. The `tryMapRows` function is more useful. It can be used to write a transformation that applies a computation (which may fail) to each row of a data frame. The resulting series is of type <c>Series&lt;'R, tryval&lt;'T&gt;&gt;</c> and can be processed using the <c>Series</c> module functions. Missing values -------------- This group of functions provides a way of working with missing values in a data frame. The category provides the following functions that can be used to fill missing values: * `fillMissingWith` fills missing values with a specified constant * `fillMissingUsing` calls a specified function for every missing value * `fillMissing` and variants propagates values from previous/later keys We use the terms _sparse_ and _dense_ to denote series that contain some missing values or do not contain any missing values, respectively. The functions `denseCols` and `denseRows` return a series that contains only dense columns or rows and all sparse rows or columns are replaced with a missing value. The `dropSparseCols` and `dropSparseRows` functions drop these missing values and return a frame with no missing values. Joining, merging and zipping ---------------------------- The simplest way to join two frames is to use the `join` operation which can be used to perform left, right, outer or inner join of two frames. When the row keys of the frames do not match exactly, you can use `joinAlign` which takes an additional parameter that specifies how to find matching key in left/right join (e.g. by taking the nearest smaller available key). Frames that do not contian overlapping values can be combined using `merge` (when combining just two frames) or using `mergeAll` (for larger number of frames). Tha latter is optimized to work well for a large number of data frames. Finally, frames with overlapping values can be combined using `zip`. It takes a function that is used to combine the overlapping values. A `zipAlign` function provides a variant with more flexible row key matching (as in `joinAlign`) Hierarchical index operations ----------------------------- A data frame has a hierarchical row index if the row index is formed by a tuple, such as <c>Frame&lt;'R1 * 'R2, 'C&gt;</c>. Frames of this kind are returned, for example, by the grouping functions such as <c>Frame.groupRowsBy</c>. The functions in this category provide ways for working with data frames that have hierarchical row keys. The functions <c>applyLevel</c> and <c>reduceLevel</c> can be used to reduce values according to one of the levels. The <c>applyLevel</c> function takes a reduction of type <c>Series&lt;'K, 'T&gt; -&gt; 'T</c> while <c>reduceLevel</c> reduces individual values using a function of type <c>'T -&gt; 'T -&gt; 'T</c>. The functions <c>nest</c> and <c>unnest</c> can be used to convert between frames with hierarchical indices (<c>Frame&lt;'K1 * 'K2, 'C&gt;</c>) and series of frames that represent individual groups (<c>Series&lt;'K1, Frame&lt;'K2, 'C&gt;&gt;</c>). The <c>nestBy</c> function can be used to perform group by operation and return the result as a series of frems. </summary>
<category>Frame and series operations</category>


--------------------
type Frame = static member ReadCsv: location: string * hasHeaders: Nullable<bool> * inferTypes: Nullable<bool> * inferRows: Nullable<int> * schema: string * separators: string * culture: string * maxRows: Nullable<int> * missingValues: string array * preferOptions: bool * encoding: Encoding -> Frame<int,string> + 1 overload static member ReadReader: reader: IDataReader -> Frame<int,string> static member CustomExpanders: Dictionary<Type,Func<obj,(string * Type * obj) seq>> static member NonExpandableInterfaces: ResizeArray<Type> static member NonExpandableTypes: HashSet<Type>
<summary> Provides static methods for creating frames, reading frame data from CSV files and database (via IDataReader). The type also provides global configuration for reflection-based expansion. </summary>
<category>Frame and series operations</category>


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type Frame<'TRowKey,'TColumnKey (requires equality and equality)> = interface IDynamicMetaObjectProvider interface INotifyCollectionChanged interface IFrameFormattable interface IFsiFormattable interface IFrame new: rowIndex: IIndex<'TRowKey> * columnIndex: IIndex<'TColumnKey> * data: IVector<IVector> * indexBuilder: IIndexBuilder * vectorBuilder: IVectorBuilder -> Frame<'TRowKey,'TColumnKey> + 1 overload member AddColumn: column: 'TColumnKey * series: 'V seq -> unit + 3 overloads member AggregateRowsBy: groupBy: 'TColumnKey seq * aggBy: 'TColumnKey seq * aggFunc: Func<Series<'TRowKey,'a>,'b> -> Frame<int,'TColumnKey> member Clone: unit -> Frame<'TRowKey,'TColumnKey> member ColumnApply: f: Func<Series<'TRowKey,'T>,ISeries<'TRowKey>> -> Frame<'TRowKey,'TColumnKey> + 1 overload ...
<summary> A frame is the key Deedle data structure (together with series). It represents a data table (think spreadsheet or CSV file) with multiple rows and columns. The frame consists of row index, column index and data. The indices are used for efficient lookup when accessing data by the row key `'TRowKey` or by the column key `'TColumnKey`. Deedle frames are optimized for the scenario when all values in a given column are of the same type (but types of different columns can differ). </summary>
<remarks><para>Joining, zipping and appending:</para><para> More info </para></remarks>
<category>Core frame and series types</category>


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new: names: 'TColumnKey seq * columns: ISeries<'TRowKey> seq -> Frame<'TRowKey,'TColumnKey>
new: rowIndex: Indices.IIndex<'TRowKey> * columnIndex: Indices.IIndex<'TColumnKey> * data: IVector<IVector> * indexBuilder: Indices.IIndexBuilder * vectorBuilder: Vectors.IVectorBuilder -> Frame<'TRowKey,'TColumnKey>
static member Frame.ReadCsv: reader: TextReader * ?hasHeaders: bool * ?inferTypes: bool * ?inferRows: int * ?schema: string * ?separators: string * ?culture: string * ?maxRows: int * ?missingValues: string array * ?preferOptions: bool * ?typeResolver: (string -> string option) -> Frame<int,string>
static member Frame.ReadCsv: stream: Stream * hasHeaders: System.Nullable<bool> * inferTypes: System.Nullable<bool> * inferRows: System.Nullable<int> * schema: string * separators: string * culture: string * maxRows: System.Nullable<int> * missingValues: string array * preferOptions: System.Nullable<bool> * encoding: Encoding -> Frame<int,string>
static member Frame.ReadCsv: location: string * hasHeaders: System.Nullable<bool> * inferTypes: System.Nullable<bool> * inferRows: System.Nullable<int> * schema: string * separators: string * culture: string * maxRows: System.Nullable<int> * missingValues: string array * preferOptions: bool * encoding: Encoding -> Frame<int,string>
static member Frame.ReadCsv: path: string * ?hasHeaders: bool * ?inferTypes: bool * ?inferRows: int * ?schema: string * ?separators: string * ?culture: string * ?maxRows: int * ?missingValues: string array * ?preferOptions: bool * ?typeResolver: (string -> string option) * ?encoding: Encoding -> Frame<int,string>
static member Frame.ReadCsv: stream: Stream * ?hasHeaders: bool * ?inferTypes: bool * ?inferRows: int * ?schema: string * ?separators: string * ?culture: string * ?maxRows: int * ?missingValues: string array * ?preferOptions: bool * ?typeResolver: (string -> string option) * ?encoding: Encoding -> Frame<int,string>
static member Frame.ReadCsv: path: string * indexCol: string * ?hasHeaders: bool * ?inferTypes: bool * ?inferRows: int * ?schema: string * ?separators: string * ?culture: string * ?maxRows: int * ?missingValues: string array * ?preferOptions: bool * ?typeResolver: (string -> string option) * ?encoding: Encoding -> Frame<'R,string> (requires equality)
val opacityVals: float array
Multiple items
val float: value: 'T -> float (requires member op_Explicit)

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type float = System.Double

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type float<'Measure> = float
Multiple items
module Series from Deedle
<summary> The `Series` module provides an F#-friendly API for working with data and time series. The API follows the usual design for collection-processing in F#, so the functions work well with the pipelining (<c>|&gt;</c>) operator. For example, given a series with ages, we can use `Series.filterValues` to filter outliers and then `Stats.mean` to calculate the mean: ages |&gt; Series.filterValues (fun v -&gt; v &gt; 0.0 &amp;&amp; v &lt; 120.0) |&gt; Stats.mean The module provides comprehensive set of functions for working with series. The same API is also exposed using C#-friendly extension methods. In C#, the above snippet could be written as: [lang=csharp] ages .Where(kvp =&gt; kvp.Value &gt; 0.0 &amp;&amp; kvp.Value &lt; 120.0) .Mean() For more information about similar frame-manipulation functions, see the `Frame` module. For more information about C#-friendly extensions, see `SeriesExtensions`. The functions in the `Series` module are grouped in a number of categories and documented below. Accessing series data and lookup -------------------------------- Functions in this category provide access to the values in the series. - The term _observation_ is used for a key value pair in the series. - When working with a sorted series, it is possible to perform lookup using keys that are not present in the series - you can specify to search for the previous or next available value using _lookup behavior_. - Functions such as `get` and `getAll` have their counterparts `lookup` and `lookupAll` that let you specify lookup behavior. - For most of the functions that may fail, there is a `try[Foo]` variant that returns `None` instead of failing. - Functions with a name ending with `At` perform lookup based on the absolute integer offset (and ignore the keys of the series) Series transformations ---------------------- Functions in this category perform standard transformations on series including projections, filtering, taking some sub-series of the series, aggregating values using scanning and so on. Projection and filtering functions generally skip over missing values, but there are variants `filterAll` and `mapAll` that let you handle missing values explicitly. Keys can be transformed using `mapKeys`. When you do not need to consider the keys, and only care about values, use `filterValues` and `mapValues` (which is also aliased as the `$` operator). Series supports standard set of folding functions including `reduce` and `fold` (to reduce series values into a single value) as well as the `scan[All]` function, which can be used to fold values of a series into a series of intermeidate folding results. The functions `take[Last]` and `skip[Last]` can be used to take a sub-series of the original source series by skipping a specified number of elements. Note that this does not require an ordered series and it ignores the index - for index-based lookup use slicing, such as `series.[lo .. hi]`, instead. Finally the `shift` function can be used to obtain a series with values shifted by the specified offset. This can be used e.g. to get previous value for each key using `Series.shift 1 ts`. The `diff` function calculates difference from previous value using `ts - (Series.shift offs ts)`. Processing series with exceptions --------------------------------- The functions in this group can be used to write computations over series that may fail. They use the type <c>tryval&lt;'T&gt;</c> which is defined as a discriminated union with two cases: Success containing a value, or Error containing an exception. The function `tryMap` lets you create <c>Series&lt;'K, tryval&lt;'T&gt;&gt;</c> by mapping over values of an original series. You can then extract values using `tryValues`, which throws `AggregateException` if there were any errors. Functions `tryErrors` and `trySuccesses` give series containing only errors and successes. You can fill failed values with a constant using `fillErrorsWith`. Hierarchical index operations ----------------------------- When the key of a series is tuple, the elements of the tuple can be treated as multiple levels of a index. For example <c>Series&lt;'K1 * 'K2, 'V&gt;</c> has two levels with keys of types <c>'K1</c> and <c>'K2</c> respectively. The functions in this cateogry provide a way for aggregating values in the series at one of the levels. For example, given a series `input` indexed by two-element tuple, you can calculate mean for different first-level values as follows: input |&gt; applyLevel fst Stats.mean Note that the `Stats` module provides helpers for typical statistical operations, so the above could be written just as `input |&gt; Stats.levelMean fst`. Grouping, windowing and chunking -------------------------------- This category includes functions that group data from a series in some way. Two key concepts here are _window_ and _chunk_. Window refers to (overlapping) sliding windows over the input series while chunk refers to non-overlapping blocks of the series. The boundary behavior can be specified using the `Boundary` flags. The value `Skip` means that boundaries (incomplete windows or chunks) should be skipped. The value `AtBeginning` and `AtEnding` can be used to define at which side should the boundary be returned (or skipped). For chunking, `AtBeginning ||| Skip` makes sense and it means that the incomplete chunk at the beginning should be skipped (aligning the last chunk with the end). The behavior may be specified in a number of ways (which is reflected in the name): - `dist` - using an absolute distance between the keys - `while` - using a condition on the first and last key - `size` - by specifying the absolute size of the window/chunk The functions ending with `Into` take a function to be applied to the window/chunk. The functions `window`, `windowInto` and `chunk`, `chunkInto` are simplified versions that take a size. There is also `pairwise` function for sliding window of size two. Missing values -------------- This group of functions provides a way of working with missing values in a series. The `dropMissing` function drops all keys for which there are no values in the series. The `withMissingFrom` function lets you copy missing values from another series. The remaining functions provide different mechanism for filling the missing values. * `fillMissingWith` fills missing values with a specified constant * `fillMissingUsing` calls a specified function for every missing value * `fillMissing` and variants propagates values from previous/later keys Sorting and index manipulation ------------------------------ A series that is sorted by keys allows a number of additional operations (such as lookup using the `Lookp.ExactOrSmaller` lookup behavior). However, it is also possible to sort series based on the values - although the functions for manipulation with series do not guarantee that the order will be preserved. To sort series by keys, use `sortByKey`. Other sorting functions let you sort the series using a specified comparer function (`sortWith`), using a projection function (`sortBy`) and using the default comparison (`sort`). In addition, you can also replace the keys of a series with other keys using `indexWith` or with integers using `indexOrdinally`. To pick and reorder series values using to match a list of keys use `realign`. Sampling, resampling and advanced lookup ---------------------------------------- Given a (typically) time series sampling or resampling makes it possible to get time series with representative values at lower or uniform frequency. We use the following terminology: - `lookup` and `sample` functions find values at specified key; if a key is not available, they can look for value associated with the nearest smaller or the nearest greater key. - `resample` function aggregate values values into chunks based on a specified collection of keys (e.g. explicitly provided times), or based on some relation between keys (e.g. date times having the same date). - `resampleUniform` is similar to resampling, but we specify keys by providing functions that generate a uniform sequence of keys (e.g. days), the operation also fills value for days that have no corresponding observations in the input sequence. Joining, merging and zipping ---------------------------- Given two series, there are two ways to combine the values. If the keys in the series are not overlapping (or you want to throw away values from one or the other series), then you can use `merge` or `mergeUsing`. To merge more than 2 series efficiently, use the `mergeAll` function, which has been optimized for large number of series. If you want to align two series, you can use the _zipping_ operation. This aligns two series based on their keys and gives you tuples of values. The default behavior (`zip`) uses outer join and exact matching. For ordered series, you can specify other forms of key lookups (e.g. find the greatest smaller key) using `zipAlign`. functions ending with `Into` are generally easier to use as they call a specified function to turn the tuple (of possibly missing values) into a new value. For more complicated behaviors, it is often convenient to use joins on frames instead of working with series. Create two frames with single columns and then use the join operation. The result will be a frame with two columns (which is easier to use than series of tuples). </summary>
<category>Frame and series operations</category>


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type Series = static member ofNullables: values: Nullable<'a> seq -> Series<int,'a> (requires default constructor and value type and 'a :> ValueType) static member ofObservations: observations: ('a * 'b) seq -> Series<'a,'b> (requires equality) static member ofOptionalObservations: observations: ('K * 'a option) seq -> Series<'K,'a> (requires equality) static member ofValues: values: 'a seq -> Series<int,'a>

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type Series<'K,'V (requires equality)> = interface ISeriesFormattable interface IFsiFormattable interface ISeries<'K> new: index: IIndex<'K> * vector: IVector<'V> * vectorBuilder: IVectorBuilder * indexBuilder: IIndexBuilder -> Series<'K,'V> + 3 overloads member After: lowerExclusive: 'K -> Series<'K,'V> member Aggregate: aggregation: Aggregation<'K> * keySelector: Func<DataSegment<Series<'K,'V>>,'TNewKey> * valueSelector: Func<DataSegment<Series<'K,'V>>,OptionalValue<'R>> -> Series<'TNewKey,'R> (requires equality) + 1 overload member AsyncMaterialize: unit -> Async<Series<'K,'V>> member Before: upperExclusive: 'K -> Series<'K,'V> member Between: lowerInclusive: 'K * upperInclusive: 'K -> Series<'K,'V> member Compare: another: Series<'K,'V> -> Series<'K,Diff<'V>> ...
<summary> The type <c>Series&lt;K, V&gt;</c> represents a data series consisting of values `V` indexed by keys `K`. The keys of a series may or may not be ordered </summary>
<category>Core frame and series types</category>


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new: pairs: System.Collections.Generic.KeyValuePair<'K,'V> seq -> Series<'K,'V>
new: keys: 'K seq * values: 'V seq -> Series<'K,'V>
new: keys: 'K array * values: 'V array -> Series<'K,'V>
new: index: Indices.IIndex<'K> * vector: IVector<'V> * vectorBuilder: Vectors.IVectorBuilder * indexBuilder: Indices.IIndexBuilder -> Series<'K,'V>
val values: series: Series<'K,'T> -> 'T seq (requires equality)
<summary> Returns the (non-missing) values of the series as a sequence </summary>
<category>Accessing series data and lookup</category>
val s: float seq
module Seq from Microsoft.FSharp.Collections
val map: mapping: ('T -> 'U) -> source: 'T seq -> 'U seq
val v: float
val max: source: 'T seq -> 'T (requires comparison)
module Array from Microsoft.FSharp.Collections
val ofSeq: source: 'T seq -> 'T array
val startCoords: Series<int,(float * float)>
val zipInner: series1: Series<'K,'V1> -> series2: Series<'K,'V2> -> Series<'K,('V1 * 'V2)> (requires equality)
<summary> Align and zip two series using inner join and exact key matching. The function returns a series of tuples with values from the two series. </summary>
<category>Joining, merging and zipping</category>
val endCoords: Series<int,(float * float)>
val coords: ((float * float) * (float * float)) seq
val flights: GenericChart
val mapi: mapping: (int -> 'T -> 'U) -> source: 'T seq -> 'U seq
val i: int
val startCoords: float * float
val endCoords: float * float
static member Chart.LineGeo: locations: string seq * ?ShowMarkers: bool * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'a * ?MultiText: 'a seq * ?TextPosition: StyleParam.TextPosition * ?MultiTextPosition: StyleParam.TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: StyleParam.Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: StyleParam.MarkerSymbol * ?MultiMarkerSymbol: StyleParam.MarkerSymbol seq * ?Marker: TraceObjects.Marker * ?LineColor: Color * ?LineColorScale: StyleParam.Colorscale * ?LineWidth: float * ?LineDash: StyleParam.DrawingStyle * ?Line: Line * ?LocationMode: StyleParam.LocationFormat * ?GeoJson: obj * ?FeatureIdKey: string * ?UseDefaults: bool -> GenericChart (requires 'a :> System.IConvertible)
static member Chart.LineGeo: lonlat: (#System.IConvertible * #System.IConvertible) seq * ?ShowMarkers: bool * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'c * ?MultiText: 'c seq * ?TextPosition: StyleParam.TextPosition * ?MultiTextPosition: StyleParam.TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: StyleParam.Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: StyleParam.MarkerSymbol * ?MultiMarkerSymbol: StyleParam.MarkerSymbol seq * ?Marker: TraceObjects.Marker * ?LineColor: Color * ?LineColorScale: StyleParam.Colorscale * ?LineWidth: float * ?LineDash: StyleParam.DrawingStyle * ?Line: Line * ?LocationMode: StyleParam.LocationFormat * ?GeoJson: obj * ?FeatureIdKey: string * ?UseDefaults: bool -> GenericChart (requires 'c :> System.IConvertible)
static member Chart.LineGeo: longitudesEncoded: EncodedTypedArray * latitudesEncoded: EncodedTypedArray * ?ShowMarkers: bool * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'a * ?MultiText: 'a seq * ?TextPosition: StyleParam.TextPosition * ?MultiTextPosition: StyleParam.TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: StyleParam.Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: StyleParam.MarkerSymbol * ?MultiMarkerSymbol: StyleParam.MarkerSymbol seq * ?Marker: TraceObjects.Marker * ?LineColor: Color * ?LineColorScale: StyleParam.Colorscale * ?LineWidth: float * ?LineDash: StyleParam.DrawingStyle * ?Line: Line * ?LocationMode: StyleParam.LocationFormat * ?GeoJson: obj * ?FeatureIdKey: string * ?UseDefaults: bool -> GenericChart (requires 'a :> System.IConvertible)
static member Chart.LineGeo: longitudes: #System.IConvertible seq * latitudes: #System.IConvertible seq * ?ShowMarkers: bool * ?Name: string * ?ShowLegend: bool * ?Opacity: float * ?MultiOpacity: float seq * ?Text: 'c * ?MultiText: 'c seq * ?TextPosition: StyleParam.TextPosition * ?MultiTextPosition: StyleParam.TextPosition seq * ?MarkerColor: Color * ?MarkerColorScale: StyleParam.Colorscale * ?MarkerOutline: Line * ?MarkerSymbol: StyleParam.MarkerSymbol * ?MultiMarkerSymbol: StyleParam.MarkerSymbol seq * ?Marker: TraceObjects.Marker * ?LineColor: Color * ?LineColorScale: StyleParam.Colorscale * ?LineWidth: float * ?LineDash: StyleParam.DrawingStyle * ?Line: Line * ?LocationMode: StyleParam.LocationFormat * ?GeoJson: obj * ?FeatureIdKey: string * ?UseDefaults: bool -> GenericChart (requires 'c :> System.IConvertible)
static member Chart.combine: gCharts: GenericChart seq -> GenericChart
static member Chart.withLayoutStyle: ?Title: Title * ?ShowLegend: bool * ?Margin: Margin * ?AutoSize: bool * ?Width: int * ?Height: int * ?Font: Font * ?UniformText: UniformText * ?Separators: string * ?PaperBGColor: Color * ?PlotBGColor: Color * ?AutoTypeNumbers: StyleParam.AutoTypeNumbers * ?Colorscale: DefaultColorScales * ?Colorway: Color * ?ModeBar: ModeBar * ?HoverMode: StyleParam.HoverMode * ?ClickMode: StyleParam.ClickMode * ?DragMode: StyleParam.DragMode * ?SelectDirection: StyleParam.SelectDirection * ?ActiveSelection: ActiveSelection * ?NewSelection: NewSelection * ?HoverDistance: int * ?SpikeDistance: int * ?Hoverlabel: Hoverlabel * ?Transition: Transition * ?DataRevision: string * ?UIRevision: string * ?EditRevision: string * ?SelectRevision: string * ?Template: DynamicObj.DynamicObj * ?Meta: string * ?Computed: string * ?Grid: LayoutGrid * ?Calendar: StyleParam.Calendar * ?MinReducedHeight: int * ?MinReducedWidth: int * ?NewShape: NewShape * ?ActiveShape: ActiveShape * ?HideSources: bool * ?ScatterGap: float * ?ScatterMode: StyleParam.ScatterMode * ?BarGap: float * ?BarGroupGap: float * ?BarMode: StyleParam.BarMode * ?BarNorm: StyleParam.BarNorm * ?ExtendPieColors: bool * ?HiddenLabels: #System.IConvertible seq * ?PieColorWay: Color * ?BoxGap: float * ?BoxGroupGap: float * ?BoxMode: StyleParam.BoxMode * ?ViolinGap: float * ?ViolinGroupGap: float * ?ViolinMode: StyleParam.ViolinMode * ?WaterfallGap: float * ?WaterfallGroupGap: float * ?WaterfallMode: StyleParam.WaterfallMode * ?FunnelGap: float * ?FunnelGroupGap: float * ?FunnelMode: StyleParam.FunnelMode * ?ExtendFunnelAreaColors: bool * ?FunnelAreaColorWay: Color * ?ExtendSunBurstColors: bool * ?SunBurstColorWay: Color * ?ExtendTreeMapColors: bool * ?TreeMapColorWay: Color * ?ExtendIcicleColors: bool * ?IcicleColorWay: Color * ?Annotations: Annotation seq * ?Shapes: Shape seq * ?Selections: Selection seq * ?Images: LayoutImage seq * ?Sliders: Slider seq * ?UpdateMenus: UpdateMenu seq -> (GenericChart -> GenericChart)
static member Chart.withTitle: title: Title -> (GenericChart -> GenericChart)
static member Chart.withTitle: title: string * ?TitleFont: Font -> (GenericChart -> GenericChart)

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