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From the point of view of differential topology, the donut and the coffee cup are the same ( in a sense ).

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## Some Related Sentences

From and point

One

**,****a**reservation on**the**__point__I have just made**,**is**the**phenomenon**of**pseudo-thinking**,**pseudo-feeling**,****and**pseudo-willing**,**which Fromm discussed**in**The Escape__From__Freedom.__From__

**the**

__point__

**of**

**view**

**of**popularity

**the**best-known member

**of**

**the**Commission was Walter Camp

**,**

**the**Yale athlete whose sobriquet was ``

**the**father

**of**American football ''.

__From__this

__point__

**of**

**view**

**the**`` militant mobs ''

**of**

**the**past

**,**stirred into action by one ideology or another

**,**were all composed

**of**`` intellectuals '' --

**and**this is not

**the**level on which

**the**essence

**of**mankind can be discovered.

__From__this

__point__

**,**I paint

**in**as direct

**a**manner as possible

**,**by flowing on

**the**washes with as pure

**a**color mixture as I can manage.

__From__

**the**manufacturer's

__point__

**of**

**view**

**,**

**the**increasing cost

**of**advertising

**and**promotion is

**a**very real problem to be faced

**in**

**the**sixties.

__From__

**the**

__point__

**of**

**view**

**of**

**the**applicants

**,**less time was wasted

**in**being evaluated --

**and**they got

**a**meal out

**of**it as well as some insights into their performances.

__From__

**the**

__point__

**of**

**view**

**of**syntactic analysis

**the**head word

**in**

**the**statement is

**the**predicator has broken

**,**

**and**from

**the**

__point__

**of**

**view**

**of**meaning it would seem that

**the**trouble centers

**in**

**the**breaking ; ;

__From__

**the**rather tortuous history

**of**electoral planning

**in**Morocco an important

__point__emerges concerning

**the**first elections

**in**

**a**developing country

**and**evaluating their results.

__From__that

__point__on he said he went to

**the**post office

**and**then walked leisurely to where his niece was staying

**,**more than

**a**mile away.

__From__

**the**lioness'

__point__

**of**

**view**

**,**this strange creature on

**the**back

**of**another creature

**,**lashing out with its long thin paw

**,**very likely appeared as something she could not at first cope with.

__From__an economic

__point__

**of**

**view**

**,**

**the**order Asparagales is second

**in**importance within

**the**monocots to

**the**order Poales

**(**which includes grasses

**and**cereals

**).**

__From__this

__point__on he establishes himself as

**a**psychological detective who proceeds not by

**a**painstaking examination

**of**

**the**crime scene

**,**but by enquiring either into

**the**nature

**of**

**the**victim or

**the**psychology

**of**

**the**murderer.

__From__an artistic

__point__

**of**

**view**

**,**he was most successful

**in**portrait-statues

**and**groups

**of**children

**,**where he was obliged to follow nature most closely.

__From__

**the**most northerly

__point__

**,**Ras ben Sakka

**in**Tunisia

**,**

**in**37 ° 21 ′ N

**,**to

**the**most southerly

__point__

**,**Cape Agulhas

**in**South Africa

**,**34 ° 51 ′ 15 ″ S

**,**is

**a**distance approximately

**of**; from Cape Verde

**,**17 ° 33 ′ 22 ″ W

**,**

**the**westernmost

__point__

**,**to Ras Hafun

**in**Somalia

**,**51 ° 27 ′ 52 ″ E

**,**

**the**most easterly projection

**,**is

**a**distance

**(**also approximately )

**of**.

__From__

**a**strictly aerodynamic

__point__

**of**

**view**

**,**

**the**term should refer only to those side-effects arising as

**a**result

**of**

**the**changes

**in**airflow from an incompressible fluid

**(**similar

**in**effect to water ) to

**a**compressible fluid

**(**acting as

**a**gas ) as

**the**speed

**of**sound is approached.

__From__

**a**political

__point__

**of**

**view**

**,**there is

**a**trade-off between Bulgaria's economic growth

**and**

**the**stability required for early accession to

**the**monetary union.

__From__

**a**philosophical

__point__

**of**

**view**

**,**what makes

**the**brain special

**in**comparison to other organs is that it forms

**the**physical structure that generates

**the**mind.

__From__south to north

**,**Broadway at one

__point__or another runs over or under

**the**IRT Lexington Avenue Line

**,**

**the**BMT Broadway Line

**,**

**the**IRT Broadway – Seventh Avenue Line

**,**

**and**

**the**IND Eighth Avenue Line:

From and view

File: View

__From__**the**Ponte Vecchio**of****the**River Arno. jpg | The__view__**of****the**Arno from**the**Ponte Vecchio__From__

**a**bibliographical

**point**

**of**

__view__some

**of**

**the**early printed Breviaries

**are**among

**the**rarest

**of**literary curiosities

**,**being merely local.

__From__

**the**local

**point**

**of**

__view__time stops at

**the**horizon

**,**whereas from

**the**global

**point**

**of**

__view__time extends beyond it

**,**

**and**surfaces

**of**constant time cross

**the**horizon.

__From__

**the**

**point**

**of**

__view__

**of**State-centric law

**,**extraordinary procedures

**(**usually international courts ) may prosecute such crimes.

__From__

**the**peak's platform

**the**panoramic

__view__includes downtown Rio

**,**Sugarloaf Mountain

**,**

**the**Lagoa Rodrigo de Freitas

**(**lake ), Copacabana

**and**Ipanema beaches

**,**Estádio do Maracanã

**(**Maracanã Stadium ),

**and**several

**of**Rio's favelas.

__From__an architectural

**point**

**of**

__view__

**,**this arrangement could provide better floor area utilisation

**,**offering an internal column-free office area with

**a**clear depth

**of**9 to 13. 4 metres

**and**an overall usable floor area efficiency

**of**81 %.

__From__

**a**geometrical

**point**

**of**

__view__

**,**looking at

**the**states

**of**each variable

**of**

**the**system to be controlled

**,**every " bad " state

**of**these variables must be controllable

**and**observable to ensure

**a**good behaviour

**in**

**the**closed-loop system.

From and differential

__From__

**the**

**point**

**of**

**view**

**of**

__differential__geometry

**,**

**the**

**coffee**

**cup**

**and**

**the**

**donut**

**are**different because it is impossible to rotate

**the**

**coffee**

**cup**

**in**such

**a**way that its configuration matches that

**of**

**the**

**donut**.

__From__

**a**mathematical viewpoint

**,**continuous-time IIR LTI filters may be described

**in**terms

**of**linear

__differential__equations

**,**

**and**their impulse responses considered as Green's functions

**of**

**the**equation.

__From__

**the**

**point**

**of**

**view**

**of**functional analysis

**,**calculus is

**the**study

**of**two linear operators:

**the**

__differential__operator

**,**

**and**

**the**indefinite integral operator.

__From__

**the**nineteenth century there is not

**a**separate curve theory

**,**but rather

**the**appearance

**of**curves as

**the**one-dimensional aspect

**of**projective geometry

**,**

**and**

__differential__geometry ;

**and**later

**topology**

**,**when for example

**the**Jordan curve theorem was understood to lie quite deep

**,**as well as being required

**in**complex analysis.

__From__his experimental work with Hodgkin

**,**Huxley developed

**a**set

**of**

__differential__equations that provided

**a**mathematical explanation for nerve impulses —

**the**" action potential ".

__From__

**the**

__differential__geometric

**point**

**of**

**view**

**,**

**a**parameterized Hamiltonian is considered as

**a**function defined on

**the**parameter manifold that maps each particular set

**of**parameters to an Hermitian operator that acts on

**the**Hilbert space.

__From__this

**point**onwards there was

**a**foundational theory

**,**which could be applied to analytic geometry

**(**

**a**name adopted

**,**confusingly

**,**for

**the**geometry

**of**zeroes

**of**analytic functions — this is not

**the**analytic geometry learned at school ), automorphic forms

**of**several variables

**,**

**and**partial

__differential__equations.

__From__

**the**

**point**

**of**

**view**

**of**de Rham cohomology

**,**one can take

__differential__forms representing

**the**characteristic classes

**,**take

**a**wedge product so that one obtains

**a**top dimensional form

**,**then integrates over

**the**manifold ; this is analogous to taking

**the**product

**in**cohomology

**and**pairing with

**the**fundamental class.

__From__this relation it follows that

**the**ring

**of**

__differential__operators with constant coefficients

**,**generated by

**the**D < sub > i </ sub >, is commutative.

__From__this they created

**a**

__differential__equation for

**the**shape

**of**

**the**bundle relating

**the**elasticity

**,**gravity

**,**

**and**orientational disorder

**and**extracted

**a**simple equation

**of**state to relate

**the**swelling pressure to

**the**measured random curvatures

**of**individual hairs.

)

__From__this norm we**are**able to establish**a**lower bound on**the**sum**of****the****(**__differential__) Rényi entropies where For simplicity**,**we consider this inequality only**in**one dimension ;**the**extension to multiple dimensions is straightforward**and**can be found**in****the**literature cited.__From__this explanation it can be seen that this type

**of**valve relies on

**a**

__differential__

**of**pressure between input

**and**output as

**the**pressure at

**the**input must always be greater than

**the**pressure at

**the**output for it to work.

__From__these basic parameters

**,**just four basic

__differential__angular arguments

**are**enough to express

**,**

**in**their different combinations

**,**nearly all

**of**

**the**most significant perturbations

**of**

**the**lunar motions.

0.540 seconds.