Class Spacetime1

Hierarchy

  • AbstractMeasure
    • Spacetime1

Constructors

constructor

Properties

I ampere candela coulomb e0 e1 joule kelvin kilogram meter mole newton one second zero

Accessors

a b grades t uom x

Methods

add clone conj div divByScalar divByVector dual equals ext grade inv isBivector isLocked isMutable isOne isScalar isSpinor isVector isZero lco lock mul mulByScalar mulByVector neg permlock rco reflect rev rotate scp sqrt squaredNorm sub toExponential toFixed toLaTeX toPrecision toString unlock scalar vector

Constructors

constructor

  • new Spacetime1(a?, t?, x?, b?, uom?): Spacetime1

  • Parameters

    • Optional a: number

      the coordinate of this multivector corresponding to the one scalar. Default is zero.

    • Optional t: number

      the coordinate of this multivector corresponding to the e0 basis vector. Default is zero..

    • Optional x: number

      the coordinate of this multivector corresponding to the e1 basis vector. Default is zero.

    • Optional b: number

      the coordinate of this multivector corresponding to the I pseudoscalar. Default is zero.

    • Optional uom: Unit

      the optional unit of measure for this multivector.

    Returns Spacetime1

Properties

Static Readonly I

I: Spacetime1

Static Readonly ampere

ampere: Spacetime1

Static Readonly candela

candela: Spacetime1

Static Readonly coulomb

coulomb: Spacetime1

Static Readonly e0

e0: Spacetime1

The vector in the Time direction.

e0 * e0 = 1

This vector is permanently locked (immutable).

Static Readonly e1

e1: Spacetime1

The vector in the Space direction.

e1 * e1 = -1

This vector is permanently locked (immutable).

Static Readonly joule

joule: Spacetime1

Static Readonly kelvin

kelvin: Spacetime1

Static Readonly kilogram

kilogram: Spacetime1

Static Readonly meter

meter: Spacetime1

Static Readonly mole

mole: Spacetime1

Static Readonly newton

newton: Spacetime1

Static Readonly one

one: Spacetime1

The scalar value 1.

This scalar is permanently locked (immutable).

Static Readonly second

second: Spacetime1

Static Readonly zero

zero: Spacetime1

The scalar value 0.

This scalar is permanently locked (immutable).

Accessors

a

  • get a(): number

  • Returns number

  • set a(a): void

  • Parameters

    • a: number

    Returns void

b

  • get b(): number

  • Returns number

  • set b(b): void

  • Parameters

    • b: number

    Returns void

grades

  • get grades(): number

  • Returns number

t

  • get t(): number

  • Returns number

  • set t(t): void

  • Parameters

    • t: number

    Returns void

uom

  • get uom(): Unit

  • Returns Unit

  • set uom(uom): void

  • Parameters

    Returns void

x

  • get x(): number

  • Returns number

  • set x(x): void

  • Parameters

    • x: number

    Returns void

Methods

add

  • add(rhs, α?): Spacetime1

  • Parameters

    Returns Spacetime1

clone

  • clone(): Spacetime1

  • Returns Spacetime1

conj

  • conj(): Spacetime1

  • Returns Spacetime1

div

divByScalar

  • divByScalar(a, uom?): Spacetime1

  • Parameters

    • a: number
    • Optional uom: Unit

    Returns Spacetime1

divByVector

  • divByVector(v): Spacetime1

  • Parameters

    • v: VectorM11

    Returns Spacetime1

dual

  • dual(): Spacetime1

  • Returns Spacetime1

equals

  • equals(other): boolean

  • Parameters

    • other: unknown

    Returns boolean

ext

grade

  • grade(n): Spacetime1

  • Parameters

    • n: number

    Returns Spacetime1

inv

  • inv(): Spacetime1

  • Returns Spacetime1

isBivector

  • isBivector(): boolean

  • Returns boolean

isLocked

  • isLocked(): boolean

  • Determines whether this multivector is locked. If the multivector is in the unlocked state then it is mutable. If the multivector is in the locked state then it is immutable.

    Returns boolean

isMutable

  • isMutable(): boolean

  • Returns boolean

isOne

  • isOne(): boolean

  • Returns boolean

isScalar

  • isScalar(): boolean

  • Returns boolean

isSpinor

  • isSpinor(): boolean

  • Returns boolean

isVector

  • isVector(): boolean

  • Returns boolean

isZero

  • isZero(): boolean

  • Returns boolean

lco

lock

  • lock(): number

  • Locks this multivector (preventing any further mutation), and returns a token that may be used to unlock it.

    Returns number

mul

mulByScalar

  • mulByScalar(a, uom): Spacetime1

  • Parameters

    Returns Spacetime1

mulByVector

  • mulByVector(v): Spacetime1

  • Parameters

    • v: VectorM11

    Returns Spacetime1

neg

  • neg(): Spacetime1

  • Returns Spacetime1

permlock

  • permlock(): this

  • Returns this

rco

reflect

  • reflect(n): Spacetime1

  • Parameters

    • n: VectorM11

    Returns Spacetime1

rev

  • rev(): Spacetime1

  • Returns Spacetime1

rotate

  • rotate(spinor): Spacetime1

  • Parameters

    • spinor: SpinorM11

    Returns Spacetime1

scp

sqrt

  • sqrt(): Spacetime1

  • Returns Spacetime1

squaredNorm

  • squaredNorm(): Spacetime1

  • Returns Spacetime1

sub

  • sub(rhs, α?): Spacetime1

  • Parameters

    Returns Spacetime1

toExponential

  • toExponential(fractionDigits?): string

  • Parameters

    • Optional fractionDigits: number

    Returns string

toFixed

  • toFixed(fractionDigits?): string

  • Parameters

    • Optional fractionDigits: number

    Returns string

toLaTeX

  • toLaTeX(radix?): string

  • Parameters

    • Optional radix: number

    Returns string

toPrecision

  • toPrecision(precision?): string

  • Parameters

    • Optional precision: number

    Returns string

toString

  • toString(radix?): string

  • Parameters

    • Optional radix: number

    Returns string

unlock

  • unlock(token): this

  • Unlocks this multivector (allowing mutation), using a token that was obtained from a preceding lock method call.

    Parameters

    • token: number

    Returns this

Static scalar

  • scalar(a, uom?): Spacetime1

  • Creates a grade 0 (scalar) multivector with value a * uom. The scalar returned is in the unlocked (mutable) state.

    Parameters

    • a: number

      The scaling factor for the unit of measure.

    • Optional uom: Unit

      The optional unit of measure. Equivalent to 1 if omitted.

    Returns Spacetime1

Static vector

  • vector(t, x, uom?): Spacetime1

  • Creates a grade 1 (vector) multivector with a value (t * e0 + x * e1) * uom. The value returned is in the unlocked (mutable) state.

    Parameters

    • t: number

      the coordinate corresponding to the e0 basis vector.

    • x: number

      the coordinate corresponding to the e1 basis vector.

    • Optional uom: Unit

      the optional unit of measure. Equivalent to 1 if omitted.

    Returns Spacetime1

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