DefiniteIntegralImpl | Physics Math

Type parameters

Hierarchy

PCalculus<R, U, D, I>
- DefiniteIntegralImpl

Implements

DefiniteIntegral<R, U, D, I>

Index

Constructors

constructor

Properties

Accessors

Methods

Constructors

constructor

new DefiniteIntegralImpl<R, U, D, I>(f: IndefiniteIntegral<R, U, D, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>>, t0: number): DefiniteIntegralImpl<R, U, D, I>

Inherited from PCalculus.constructor
- Defined in src/integral.ts:36
Type parameters
- R: BaseValueRelative<Unit<UnitTerms>>
- U: Unit<UnitTerms, U>
- D: Unit<UnitTerms, D>
- I: Unit<UnitTerms, I>
Parameters
- f: IndefiniteIntegral<R, U, D, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>>
- t0: number
Returns DefiniteIntegralImpl<R, U, D, I>

Properties

Readonly evaluating

evaluating: IndefiniteIntegral<R, U, D, I>

Optional f_

f_: undefined | IPCompiled<R, U, 1, R extends number ? IPFunctionCalculus<number, U, 1, Divide<U, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>> : R extends Rotation<Unit<CompleteTerms<{ angle: 1 }>>> ? IPFunctionCalculus<Rotation<Unit<CompleteTerms<{ angle: 1 }>>>, U, 1, Divide<U, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>> : R extends Vector<Unit<CompleteTerms<{ length: 1 }>>, Unit<DivideTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>, Unit<MultiplyTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>> ? IPFunctionCalculus<Vector<Unit<CompleteTerms<{ length: 1 }>>, Unit<DivideTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>, Unit<MultiplyTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>>, U, 1, Divide<U, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>> : R extends Point ? IPFunctionBase<Point, U, 1> : R extends Orientation ? IPFunctionBase<Orientation, U, 1> : never>

Readonly from

from: number

Readonly name

name: string

Name of this PFunction, for disambiguation and well-known functions (such as constants).

Readonly nargs

nargs: 1

Optional tex_

tex_: undefined | string

Cached LaTeX string

timestep

timestep: number = ...

The time step to be used for numerical integration. Ignored for functions with a defined analytic integral.

Readonly unit

unit: U

Accessors

f

get f(): IPCompiled<R, C, N, IPFunction<R, C, N, Divide<C, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<C, Unit<CompleteTerms<{ time: 1 }>>>>>

- Defined in src/pfunction.ts:65
The implementing function

Returns IPCompiled<R, C, N, IPFunction<R, C, N, Divide<C, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<C, Unit<CompleteTerms<{ time: 1 }>>>>>

html

get html(): ViewOf<this> & Element

- Defined in src/pfunction.ts:135
Produce HTML from the LaTeX representation. Produces a new HTML element on each reference, equivalent to:
```
pFun.toHtml();
```
Returns ViewOf<this> & Element

returnType

get returnType(): TYPE

- Defined in src/integral.ts:34
Returns TYPE

tex

get tex(): string

- Defined in src/pfunction.ts:105
Get the LaTeX representation of this function. The value is cached.

Returns string

Methods

compile

compile(): IPCompiled<R, U, 1, R extends number ? IPFunctionCalculus<number, U, 1, Divide<U, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>> : R extends Rotation<Unit<CompleteTerms<{ angle: 1 }>>> ? IPFunctionCalculus<Rotation<Unit<CompleteTerms<{ angle: 1 }>>>, U, 1, Divide<U, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>> : R extends Vector<Unit<CompleteTerms<{ length: 1 }>>, Unit<DivideTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>, Unit<MultiplyTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>> ? IPFunctionCalculus<Vector<Unit<CompleteTerms<{ length: 1 }>>, Unit<DivideTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>, Unit<MultiplyTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>>, U, 1, Divide<U, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>> : R extends Point ? IPFunctionBase<Point, U, 1> : R extends Orientation ? IPFunctionBase<Orientation, U, 1> : never>

Implementation of DefiniteIntegral.compile

Inherited from PCalculus.compile
- Defined in src/pfunction.ts:69
Returns IPCompiled<R, U, 1, R extends number ? IPFunctionCalculus<number, U, 1, Divide<U, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>> : R extends Rotation<Unit<CompleteTerms<{ angle: 1 }>>> ? IPFunctionCalculus<Rotation<Unit<CompleteTerms<{ angle: 1 }>>>, U, 1, Divide<U, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>> : R extends Vector<Unit<CompleteTerms<{ length: 1 }>>, Unit<DivideTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>, Unit<MultiplyTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>> ? IPFunctionCalculus<Vector<Unit<CompleteTerms<{ length: 1 }>>, Unit<DivideTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>, Unit<MultiplyTerms<CompleteTerms<{ length: 1 }>, CompleteTerms<{ time: 1 }>>>>, U, 1, Divide<U, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>> : R extends Point ? IPFunctionBase<Point, U, 1> : R extends Orientation ? IPFunctionBase<Orientation, U, 1> : never>

Protected compileFn

compileFn(): IPCompileResult1<R>

Overrides PCalculus.compileFn
- Defined in src/integral.ts:52
Returns IPCompileResult1<R>

derivative

derivative(): IPFunctionCalculus<R, D, 1, Divide<D, Unit<CompleteTerms<{ time: 1 }>>>, U>

Implementation of DefiniteIntegral.derivative

Inherited from PCalculus.derivative
- Defined in src/pfunction.ts:199
Returns IPFunctionCalculus<R, D, 1, Divide<D, Unit<CompleteTerms<{ time: 1 }>>>, U>

differentiate

differentiate(): IPFunctionCalculus<R, D, 1, Divide<D, Unit<CompleteTerms<{ time: 1 }>>>, U>

Overrides PCalculus.differentiate
- Defined in src/integral.ts:44
Returns IPFunctionCalculus<R, D, 1, Divide<D, Unit<CompleteTerms<{ time: 1 }>>>, U>

equiv

equiv<T>(f: T): null | DefiniteIntegralImpl<R, U, D, I> | T

Overrides PCalculus.equiv
- Defined in src/integral.ts:65
Type parameters
- T
Parameters
- f: T
Returns null | DefiniteIntegralImpl<R, U, D, I> | T

integral

integral(): IndefiniteIntegral<R, I, U, Multiply<I, Unit<CompleteTerms<{ time: 1 }>>>>

Implementation of DefiniteIntegral.integral

Inherited from PCalculus.integral
- Defined in src/pfunction.ts:211
Return the indefinite integral of this function.

Returns IndefiniteIntegral<R, I, U, Multiply<I, Unit<CompleteTerms<{ time: 1 }>>>>

integrate

integrate(): IndefiniteIntegral<R, I, U, Multiply<I, Unit<CompleteTerms<{ time: 1 }>>>>

Overrides PCalculus.integrate
- Defined in src/integral.ts:48
Returns IndefiniteIntegral<R, I, U, Multiply<I, Unit<CompleteTerms<{ time: 1 }>>>>

Private setName_

setName_(name: string): DefiniteIntegralImpl<R, U, D, I>

Inherited from PCalculus.setName_
- Defined in src/pfunction.ts:146
Set a name of the function

Parameters
- name: string
Returns DefiniteIntegralImpl<R, U, D, I>

simplify

simplify(options?: any): IPFunctionBase<R, U, 1>

Implementation of DefiniteIntegral.simplify

Inherited from PCalculus.simplify
- Defined in src/pfunction.ts:163
Parameters
- options: any = ...
Returns IPFunctionBase<R, U, 1>

toHtml

toHtml(varName?: string, block?: boolean, ctx?: StyleContext): ViewOf<DefiniteIntegralImpl<R, U, D, I>> & Element

Implementation of DefiniteIntegral.toHtml

Inherited from PCalculus.toHtml
- Defined in src/pfunction.ts:115
Produce HTML from the LaTeX representation. Produces a new HTML element on each call

Parameters
- varName: string = 't'
- block: boolean = false
- ctx: StyleContext = ...
Returns ViewOf<DefiniteIntegralImpl<R, U, D, I>> & Element

toTex

toTex(varName?: string, ctx?: StyleContext): string

Implementation of DefiniteIntegral.toTex

Overrides PCalculus.toTex
- Defined in src/integral.ts:58
Parameters
- varName: string = 't'
- ctx: StyleContext = ...
Returns string

toTexWithUnits

toTexWithUnits(varName?: string, ctx?: StyleContext): string

Implementation of DefiniteIntegral.toTexWithUnits

Inherited from PCalculus.toTexWithUnits
- Defined in src/pfunction.ts:97
Parameters
- varName: string = 't'
- ctx: StyleContext = ...
Returns string

Type parameters

R: BaseValueRelative

U: Unit

D: Unit

I: Unit

Hierarchy

Implements

Index

Constructors

Properties

Accessors

Methods

Constructors

constructor

Type parameters

R: BaseValueRelative<Unit<UnitTerms>>

U: Unit<UnitTerms, U>

D: Unit<UnitTerms, D>

I: Unit<UnitTerms, I>

Parameters

f: IndefiniteIntegral<R, U, D, Multiply<U, Unit<CompleteTerms<{ time: 1 }>>>>

t0: number

Returns DefiniteIntegralImpl<R, U, D, I>

Properties

Readonly evaluating

Optional f_

Readonly from

Readonly name

Readonly nargs

Optional tex_

timestep

Readonly unit

Accessors

f

Returns IPCompiled<R, C, N, IPFunction<R, C, N, Divide<C, Unit<CompleteTerms<{ time: 1 }>>>, Multiply<C, Unit<CompleteTerms<{ time: 1 }>>>>>

html

Returns ViewOf<this> & Element

returnType

Returns TYPE

tex

Returns string

Methods

compile

Protected compileFn

Returns IPCompileResult1<R>

derivative

Returns IPFunctionCalculus<R, D, 1, Divide<D, Unit<CompleteTerms<{ time: 1 }>>>, U>

differentiate

Returns IPFunctionCalculus<R, D, 1, Divide<D, Unit<CompleteTerms<{ time: 1 }>>>, U>

equiv

Type parameters

T

Parameters

f: T

Returns null | DefiniteIntegralImpl<R, U, D, I> | T

integral

Returns IndefiniteIntegral<R, I, U, Multiply<I, Unit<CompleteTerms<{ time: 1 }>>>>

integrate

Returns IndefiniteIntegral<R, I, U, Multiply<I, Unit<CompleteTerms<{ time: 1 }>>>>

Private setName_

Parameters

name: string

Returns DefiniteIntegralImpl<R, U, D, I>

simplify

Parameters

options: any = ...

Returns IPFunctionBase<R, U, 1>

toHtml

Parameters

varName: string = 't'

block: boolean = false

ctx: StyleContext = ...

Returns ViewOf<DefiniteIntegralImpl<R, U, D, I>> & Element

toTex

Parameters

varName: string = 't'

ctx: StyleContext = ...

Returns string

toTexWithUnits

Parameters