Class Geometric1

A mutable and lockable multivector in 1D with a Euclidean metric and optional unit of measure.

Hierarchy

AbstractMeasure
- Geometric1

Index

Constructors

constructor

new Geometric1(coords?, uom?): Geometric1
Constructs a mutable instance of Geometric1 from coordinates and an optional unit of measure.
Parameters
- coords: [a: number, x: number] = ...
  The 2 coordinates are in the order [a, x].
- Optional uom: Unit
  The optional unit of measure.
Returns Geometric1
Overrides AbstractMeasure.constructor
- Defined in math/Geometric1.ts:189

Properties

`Static` `Readonly` ampere

ampere: Geometric1 = ...

SI base unit of electric current. The ampere is that constant current which, if maintained in two straight parallel conductors of infinite length, of negligible circular cross-section, and placed 1 meter apart in vacuum, would produce between these conductors a force equal to 2 x 10^-7 newton per meter of length.

`Static` `Readonly` candela

candela: Geometric1 = ...

SI base unit of luminous intensity. The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540 x 10¹² hertz and that has a radiant intensity in that direction of 1 / 683 watt per steradian.

`Static` `Readonly` coulomb

coulomb: Geometric1 = ...

SI derived unit of electric charge, quantity of electricity.

`Static` `Readonly` e1

e1: Geometric1 = ...

Constructs a basis vector corresponding to the x coordinate. The returned multivector is locked.

`Static` `Readonly` joule

joule: Geometric1 = ...

SI derived unit of energy, work, quantity of heat.

`Static` `Readonly` kelvin

kelvin: Geometric1 = ...

SI base unit of thermodynamic temperature. The kelvin, unit of thermodynamic temperature, is the fraction 1 / 273.16 of the thermodynamic temperature of the triple point of water.

`Static` `Readonly` kilogram

kilogram: Geometric1 = ...

SI base unit of mass. The kilogram is the unit of mass; it is equal to the mass of the international prototype of the kilogram.

`Static` `Readonly` meter

meter: Geometric1 = ...

SI base unit of length. The meter is the length of the path travelled by light in vacuum during a time interval of 1 / 299 792 458 of a second.

`Static` `Readonly` mole

mole: Geometric1 = ...

SI base unit of amount of substance.

The mole is the amount of substance of a system which contains as many elementary entities as there are atoms in 0.012 kilogram of carbon 12; its symbol is "mol."
When the mole is used, the elementary entities must be specified and may be atoms, molecules, ions, electrons, other particles, or specified groups of such particles.

`Static` `Readonly` newton

newton: Geometric1 = ...

SI derived unit of force.

`Static` `Readonly` one

one: Geometric1 = ...

Constructs a Geometric1 representing the number one. The identity element for multiplication, 1. The returned multivector is locked.

`Static` `Readonly` second

second: Geometric1 = ...

SI base unit of time. The second is the duration of 9 192 631 770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium 133 atom.

`Static` `Readonly` zero

zero: Geometric1 = ...

Constructs a Geometric1 representing the number zero. The identity element for addition, 0. The returned multivector is locked.

Accessors

a

get a(): number
Returns number
- Defined in math/Geometric1.ts:1157
set a(a): void
Parameters
- a: number
Returns void
- Defined in math/Geometric1.ts:1160

b

get b(): number
Returns number
- Defined in math/Geometric1.ts:1181
set b(b): void
Parameters
- b: number
Returns void
- Defined in math/Geometric1.ts:1184

grades

get grades(): number
A bitmask describing the non-zero grades that are present in this multivector.

0x1 = scalar 0x2 = vector

Returns number
- Defined in math/Geometric1.ts:202

uom

get uom(): Unit
Returns Unit
Inherited from AbstractMeasure.uom
- Defined in math/AbstractMeasure.ts:29
set uom(uom): void
Parameters
- uom: Unit
Returns void
Inherited from AbstractMeasure.uom
- Defined in math/AbstractMeasure.ts:33

x

get x(): number
Returns number
- Defined in math/Geometric1.ts:1169
set x(x): void
Parameters
- x: number
Returns void
- Defined in math/Geometric1.ts:1172

Methods

add

add(M, α?): Geometric1
Parameters
- M: Geometric1
- α: number = 1
Returns Geometric1
- Defined in math/Geometric1.ts:216

addScalar

addScalar(a, uom?, α?): Geometric1
Adds a multiple of a scalar to this multivector.
Parameters
- a: number
  The scalar value to be added to this multivector.
- Optional uom: Unit
  The optional unit of measure.
- α: number = 1
  The fraction of (a * uom) to be added. Default is 1.
Returns Geometric1
this + (a * uom) * α
- Defined in math/Geometric1.ts:270

clone

clone(): Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:291

conj

conj(): Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:295

copy

copy(rhs): Geometric1
Parameters
- rhs: Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:305

copyVector

copyVector(vector): Geometric1
Parameters
- vector: VectorE1
Returns Geometric1
- Defined in math/Geometric1.ts:316

div

div(rhs): Geometric1
Parameters
- rhs: Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:372

divByScalar

divByScalar(a, uom?): Geometric1
Parameters
- a: number
- Optional uom: Unit
Returns Geometric1
- Defined in math/Geometric1.ts:667

divByVector

divByVector(rhs): Geometric1
Parameters
- rhs: VectorE1
Returns Geometric1
- Defined in math/Geometric1.ts:386

dual

dual(): Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:327

equals

equals(other): boolean
Parameters
- other: unknown
Returns boolean
- Defined in math/Geometric1.ts:340

ext

ext(m): Geometric1
Parameters
- m: Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:389

grade

grade(n): Geometric1
Parameters
- n: number
Returns Geometric1
- Defined in math/Geometric1.ts:404

inv

inv(): Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:956

isBivector

isBivector(): boolean
Returns boolean
- Defined in math/Geometric1.ts:427

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
Inherited from AbstractMeasure.isLocked
- Defined in math/AbstractMeasure.ts:47

isMutable

isMutable(): boolean
Returns boolean
Inherited from AbstractMeasure.isMutable
- Defined in math/AbstractMeasure.ts:51

isOne

isOne(): boolean
Returns boolean
- Defined in math/Geometric1.ts:430

isScalar

isScalar(): boolean
Returns boolean
- Defined in math/Geometric1.ts:433

isSpinor

isSpinor(): boolean
Returns boolean
- Defined in math/Geometric1.ts:436

isVector

isVector(): boolean
Returns boolean
- Defined in math/Geometric1.ts:444

isZero

isZero(): boolean
Returns boolean
- Defined in math/Geometric1.ts:1110

lco

lco(rhs): Geometric1
Parameters
- rhs: Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:351

lock

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

Returns number
Inherited from AbstractMeasure.lock
- Defined in math/AbstractMeasure.ts:59

magnitude

magnitude(): Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:447

magnitudeNoUnits

magnitudeNoUnits(): number
Returns number
- Defined in math/Geometric1.ts:458

mul

mul(rhs): Geometric1
Parameters
- rhs: Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:461

mulByScalar

mulByScalar(α, uom?): Geometric1
Parameters
- α: number
- Optional uom: Unit
Returns Geometric1
- Defined in math/Geometric1.ts:1145

mulByVector

mulByVector(v): Geometric1
Parameters
- v: VectorE1
Returns Geometric1
- Defined in math/Geometric1.ts:497

neg

neg(): Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:1099

permlock

permlock(): this
Returns this
Inherited from AbstractMeasure.permlock
- Defined in math/AbstractMeasure.ts:86

rco

rco(m): Geometric1
Parameters
- m: Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:511

reflect

reflect(n): Geometric1
Parameters
- n: VectorE1
Returns Geometric1
- Defined in math/Geometric1.ts:688

rev

rev(): Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:532

rotate

rotate(spinor): Geometric1
Parameters
- spinor: SpinorE1
Returns Geometric1
- Defined in math/Geometric1.ts:711

scale

scale(a): Geometric1
Parameters
- a: number
Returns Geometric1
- Defined in math/Geometric1.ts:678

scp

scp(m): Geometric1
Parameters
- m: Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:595

sqrt

sqrt(): Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:622

squaredNorm

squaredNorm(): Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:634

sub

sub(M, α?): Geometric1
Parameters
- M: Geometric1
- α: number = 1
Returns Geometric1
- Defined in math/Geometric1.ts:729

subScalar

subScalar(a, uom?, α?): Geometric1
Subtracts a multiple of a scalar from this multivector.
Parameters
- a: number
  The scalar value to be subtracted from this multivector.
- Optional uom: Unit
  The optional unit of measure.
- α: number = 1
  The fraction of (a * uom) to be subtracted. Default is 1.
Returns Geometric1
this - (a * uom) * α
- Defined in math/Geometric1.ts:575

toExponential

toExponential(fractionDigits?): string
Parameters
- Optional fractionDigits: number
Returns string
- Defined in math/Geometric1.ts:750

toFixed

toFixed(fractionDigits?): string
Parameters
- Optional fractionDigits: number
Returns string
- Defined in math/Geometric1.ts:756

toLaTeX

toLaTeX(radix?): string
Parameters
- Optional radix: number
Returns string
- Defined in math/Geometric1.ts:762

toPrecision

toPrecision(precision?): string
Parameters
- Optional precision: number
Returns string
- Defined in math/Geometric1.ts:768

toString

toString(radix?): string
Parameters
- Optional radix: number
Returns string
- Defined in math/Geometric1.ts:774

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
Inherited from AbstractMeasure.unlock
- Defined in math/AbstractMeasure.ts:73

zero

zero(): Geometric1
Returns Geometric1
- Defined in math/Geometric1.ts:780

`Static` scalar

scalar(a, uom?): Geometric1
Parameters
- a: number
- Optional uom: Unit
Returns Geometric1
- Defined in math/Geometric1.ts:96

`Static` vector

vector(x, uom?): Geometric1
Parameters
- x: number
- Optional uom: Unit
Returns Geometric1
- Defined in math/Geometric1.ts:99

Class Geometric1

Hierarchy

Index

Constructors

Properties

Accessors

Methods

Constructors

constructor

Parameters

Returns Geometric1

Properties

Static Readonly ampere

Static Readonly candela

Static Readonly coulomb

Static Readonly e1

Static Readonly joule

Static Readonly kelvin

Static Readonly kilogram

Static Readonly meter

Static Readonly mole

Static Readonly newton

Static Readonly one

Static Readonly second

Static Readonly zero

Accessors

a

Returns number

Parameters

Returns void

b

Returns number

Parameters

Returns void

grades

Returns number

uom

Returns Unit

Parameters

Returns void

x

Returns number

Parameters

Returns void

Methods

add

Parameters

Returns Geometric1

addScalar

Parameters

Returns Geometric1

clone

Returns Geometric1

conj

Returns Geometric1

copy

Parameters

Returns Geometric1

copyVector

Parameters

Returns Geometric1

div

Parameters

Returns Geometric1

divByScalar

Parameters

Returns Geometric1

divByVector

Parameters

Returns Geometric1

dual

Returns Geometric1

equals

Parameters

Returns boolean

ext

Parameters

Returns Geometric1

grade

Parameters

`Static` `Readonly` ampere

`Static` `Readonly` candela

`Static` `Readonly` coulomb

`Static` `Readonly` e1

`Static` `Readonly` joule

`Static` `Readonly` kelvin

`Static` `Readonly` kilogram

`Static` `Readonly` meter

`Static` `Readonly` mole

`Static` `Readonly` newton

`Static` `Readonly` one

`Static` `Readonly` second

`Static` `Readonly` zero