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Alternatively, the coordinates of a point p can also be taken as the ( signed ) distances from p to the three planes defined by the three axes.

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## Some Related Sentences

Alternatively and coordinates

__Alternatively__

**,**atomic orbitals refer

**to**functions that depend on

**the**

__coordinates__

**of**one electron

**(**i

**.**e

**.**orbitals

**)**but are used

**as**starting points for approximating wave functions that depend on

**the**simultaneous

__coordinates__

**of**all

**the**electrons in an atom or molecule

**.**

__Alternatively__

**,**

**the**objects are called

**the**first and second

__coordinates__

**,**or

**the**left and right projections

**of**

**the**ordered pair

**.**

__Alternatively__

**,**it follows

**from**() that if

**the**polar

__coordinates__

**of**

**the**

**point**

**p**are

**(**r < sub > 1 </ sub >, θ < sub > 1 </ sub >) and those

**of**q are

**(**r < sub > 2 </ sub >, θ < sub > 2 </ sub >), then

**the**distance between

**the**points is

__Alternatively__

**,**in polar

__coordinates__

**,**

**the**gain

**of**

**the**transfer function is plotted

**as**

**the**radial coordinate

**,**while

**the**phase

**of**

**the**transfer function is plotted

**as**

**the**angular coordinate

**.**

Alternatively and point

__Alternatively__

**,**if

**a**line is constructed perpendicularly between Alpha Centauri and Beta Centauri

**,**

**the**

__point__where

**the**above mentioned line and this line intersect marks

**the**Southern Celestial Pole

**.**

__Alternatively__

**,**microscopes

**can**

**be**classed on whether they analyse

**the**sample via

**a**scanning

__point__

**(**confocal optical microscopes

**,**scanning electron microscopes and scanning probe microscopes

**)**or analyse

**the**sample all at once

**(**wide field optical microscope and transmission electron microscopes ).

__Alternatively__

**a**white dwarf star may accumulate sufficient material

**from**

**a**stellar companion

**(**either through accretion or via

**a**merger

**)**

**to**raise its core temperature enough

**to**ignite carbon fusion

**,**at which

__point__it undergoes runaway nuclear fusion

**,**completely disrupting it

**.**

__Alternatively__

**,**one may

__point__out that greater good theodicies lead us

**to**see every conceivable state

**of**affairs

**as**compatible with

**the**existence

**of**God

**,**and in that case

**the**notion

**of**God's goodness is rendered meaningless

**.**

__Alternatively__ambient noise levels may

**be**measured

**to**provide

**a**reference

__point__for analyzing an intrusive sound

**to**

**a**given environment

**.**

__Alternatively__

**,**

**a**stopband corner frequency may

**be**specified

**as**

**a**

__point__where

**a**transition band and

**a**stopband meet:

**a**frequency for which

**the**attenuation is larger than

**the**required stopband attenuation

**,**which for example may

**be**30 dB or 100 dB

**.**

__Alternatively__

**,**an analytic function is an infinitely differentiable function such that

**the**Taylor series at any

__point__x < sub > 0 </ sub > in its domain

__Alternatively__

**,**compass

__point__answers are often clued

**as**" XXX

**to**YYY direction ", where XXX and YYY are two place names

**.**

__Alternatively__

**,**some scholars identify Ptolemy Neos Philopator with Ptolemy Memphites

**,**

**a**son

**of**Ptolemy VIII and Cleopatra II who was murdered

**by**his father about 132 / 131 BC after his mother had tried

**to**depose Physcon and proclaim their son king ; yet others

__point__

**to**

**a**number

**of**minor co-regents – all

**of**whom were named Ptolemy

**as**was

**the**tradition in

**the**dynasty

**.**

__Alternatively__

**,**it may

**be**that railroad crews referred

**to**

**the**town

**as**" Graftin " because it was

**the**

__point__at which

**a**number

**of**branch railroad lines met

**(**grafted

**to**

**)**

**the**railroad's mainline

**.**

__Alternatively__

**,**if

**the**space X is sequential

**,**we may say that x ∈ X is

**a**limit

__point__

**of**S if and only if there is an ω-sequence

**of**points in S

__Alternatively__

**,**with respect

**to**

**a**large region without airfields

**,**e

**.**g

**.**an ocean

**,**it

**can**mean

**the**

__point__before which it is closer

**to**turn around and after which it is closer

**to**continue

**.**

__Alternatively__

**,**

**the**MSIC has had opportunity

**to**continuously assist their clients over

**a**period

**of**many years and not just at

**a**single

__point__

**of**time

**.**

__Alternatively__

**,**that

**the**corresponding map T < sup > 2 </ sup >→ S < sup > 2 </ sup >

**from**

**the**torus T < sup > 2 </ sup >

**to**

**the**sphere S < sup > 2 </ sup >

**(**given

**by**

**the**

__point__with given azimuth and elevation

**)**is not

**a**covering map at these points

**.**

In fact

**,****the**fraction fields**of****the**rings**of**regular functions on any open set will**be****the**same**,**so we define**,**for any U**,**K < sub > X </ sub >( U**)****to****be****the**common fraction field**of**any ring**of**regular functions on any open affine subset**of**X**.**__Alternatively__**,**one**can**define**the**function field in this case**to****be****the**local ring**of****the**generic__point__**.**__Alternatively__

**,**on any day during

**the**Fringe

**the**pedestrianised area

**of**

**the**High Street around St Giles ' Cathedral and

**the**Fringe Office becomes

**the**focal

__point__for theatre companies

**to**hand out flyers

**,**perform scenes

**from**their shows

**,**and attempt

**to**sell tickets

**.**

where

**the**integral is over**a**path starting at**the**__point__at infinity with argument -( 1 / 3**)**π and ending at**the**__point__at infinity with argument**(**1 / 3**)**π**.**__Alternatively__**,**we**can**use**the**differential equation**to**extend Ai**(**x**)**and Bi**(**x**)****to**entire functions on**the**complex plane**.**__Alternatively__

**,**Pym may die in

**the**retelling

**of**

**the**story at precisely

**the**same

__point__he should have died during

**the**actual adventure

**.**

__Alternatively__

**,**

**a**variant scoring system determines

**the**winner via

**a**

__point__system — 1

__point__for

**a**knock out

**,**2 points for

**a**propaganda knock out

**,**3 points for

**a**retaliation knock out

**,**

**a**variable number

**of**points for position depending on number

**of**players

**,**and finally 2 points for surviving

**(**with

**the**survivor not necessarily being

**the**points winner ).

Alternatively and p

<

__p__>__Alternatively__< em > emphasized </ em > < strong >< em > strong emphasized </ em > strong </ strong ></__p__>__Alternatively__

**,**variable B could

**be**collapsed out entirely

**,**alternately sampling

**from**

__p__

**(**A | C

**)**and

__p__

**(**C | A

**)**and not sampling over B at all

**.**

__Alternatively__

**,**you could compute

**the**dimension

**of**

**the**nullspace

**of**

**to**

**be**

__p__= 1

**,**and thus there are m-p = 1 generalized eigenvectors

**.**

Alternatively and can

__Alternatively__

**,**if characters ' attribute ranks are close

**,**

**the**weaker character

__can__try

**to**change

**the**relevant attribute

**by**changing

**the**nature

**of**

**the**conflict

**.**

__Alternatively__they

__can__

**be**organized

**by**whether

**the**raw stock is

**of**natural

**,**or synthetic origin

**,**or

**by**their starting physical phase

**.**

__Alternatively__

**,**if

**the**boards are pre-dealt

**,**" curtain cards " may

**be**supplied which have each hand printed on them

**,**so that each player

__can__check at

**the**beginning

**of**

**the**deal that he has

**the**right cards

**.**

__Alternatively__

**,**there may further

**be**requirements for maximum terms that

**a**government

__can__keep power before holding an election

**.**

__Alternatively__

**,**rasterization

__can__

**be**done in

**a**more complicated manner

**by**first rendering

**the**vertices

**of**

**a**face and then rendering

**the**pixels

**of**that face

**as**

**a**blending

**of**

**the**vertex colors

**.**

__Alternatively__

**,**diagnosis and strain identification

__can__

**be**made using polymerase chain reaction

**(**PCR ).

__Alternatively__

**,**

**the**business

__can__

**be**sold

**as**

**a**going concern with

**the**net proceeds

**of**

**the**sale distributed

**to**creditors ratably in accordance with statutory priorities

**.**

__Alternatively__

**,**dualism

__can__mean

**the**tendency

**of**humans

**to**perceive and understand

**the**world

**as**being divided into two overarching categories

**.**

__Alternatively__

**,**if positive pressures are required

**,**standard glassware

__can__not

**be**used

**,**energy must

**be**used for pressurization and there is

**a**higher chance

**of**side reactions occurring in

**the**distillation

**,**such

**as**decomposition

**,**due

**to**

**the**higher temperatures required

**to**effect boiling

**.**

__Alternatively__

**,**

**a**single hostname may correspond

**to**many IP addresses: this

__can__facilitate fault tolerance and load distribution

**,**and

**also**allows

**a**site

**to**move physical locations seamlessly

**.**

__Alternatively__

**,**and especially in connection with

**the**relational model

**of**database management

**,**

**the**relation between attributes drawn

**from**

**a**specified set

**of**domains

__can__

**be**seen

**as**being primary

**.**

__Alternatively__

**,**

**the**method

__can__

**be**used

**to**value

**the**company based on

**the**value

**of**total invested capital

**.**

__Alternatively__

**,**two figures are congruent if one

__can__

**be**moved on top

**of**

**the**other so that it matches up with it exactly

**.**

__Alternatively__

**,**

**the**image

__can__

**be**photographically recorded

**by**exposing

**a**photographic film or plate directly

**to**

**the**electron beam

**,**or

**a**high-resolution phosphor may

**be**coupled

**by**means

**of**

**a**lens optical system or

**a**fibre optic light-guide

**to**

**the**sensor

**of**

**a**CCD

**(**charge-coupled device

**)**camera

**.**

__Alternatively__entropy

__can__

**be**

**defined**

**from**

**a**classical thermodynamics viewpoint

**,**in which

**the**molecular interactions are not considered and instead

**the**system is viewed

**from**perspective

**of**

**the**gross motion

**of**very large masses

**of**molecules and

**the**behavior

**of**individual molecules is averaged and obscured

**.**

__Alternatively__

**,**for an orientable surface

**the**formula

__can__

**be**given in terms

**of**

**the**genus

**of**

**a**surface

**,**g:

__Alternatively__

**,**gdbserver

__can__

**be**used

**to**remotely debug

**the**program without needing

**to**change it in any way

**.**

__Alternatively__

**,**they

__can__

**be**termed when they are designed for combat

**as**opposed

**to**iaitō training swords

**.**

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