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Let Q be a nonsingular quadric surface bearing reguli Af and Af, and let **zg be a Af curve of order K on Q.

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Brown Corpus

## Some Related Sentences

Let and Q

*

__Let____Q__**be****a**set enclosed between two step regions S**and**T**.**A step region is formed from**a**finite union**of**adjacent rectangles resting**on****a**common base**,**i**.**e**.**S ⊆__Q__⊆ T**.**If there is**a**unique number c such that**a**( S ) ≤ c ≤**a**( T ) for all such step regions S**and**T**,**then**a**(__Q__)__Let__now x '

**and**y '

**be**tuples

**of**previously unused variables

**of**the same length as x

**and**y respectively

**,**

**and**

**let**

__Q__

**be**

**a**previously unused relation symbol which takes as many arguments as the sum

**of**lengths

**of**x

**and**y ; we consider the formula

__Let__the line

**of**symmetry intersect the parabola at point

__Q__

**,**

**and**denote the focus as point F

**and**its distance from point

__Q__as f

**.**

__Let__the perpendicular to the line

**of**symmetry

**,**through the focus

**,**intersect the parabola at

**a**point T

**.**Then ( 1 ) the distance from F to T is 2f

**,**

**and**( 2 )

**a**tangent to the parabola at point T intersects the line

**of**symmetry at

**a**45 ° angle

**.**

Beginning with From Russia with Love in 1963

**,**Llewelyn appeared as__Q__**,**the quartermaster**of**the MI6 gadget lab ( also known as__Q__branch ), in almost every Bond film until his death ( 17 ), only missing appearances in Live**and**__Let__Die in 1973**,****and**Never Say Never Again**,**the latter**of**which is not part**of**the official James Bond film series**.**__Let__

**K**

**be**

**a**field lying between

__Q__

**and**its p-adic completion

__Q__< sub > p </ sub > with respect to the usual non-Archimedean p-adic norm

__Let__A =(

__Q__< sub > A </ sub >, Σ

**,**Δ < sub > A </ sub >, I < sub > A </ sub >, F < sub > A </ sub >)

**and**B =(

__Q__< sub > B </ sub >, Σ

**,**Δ < sub > B </ sub >, I < sub > B </ sub >, F < sub > B </ sub >)

**be**Büchi automata

**and**C =(

__Q__< sub > C </ sub >, Σ

**,**Δ < sub > C </ sub >, I < sub > C </ sub >, F < sub > C </ sub >)

**be**

**a**finite automaton

**.**

Let and be

__Let__every policeman

**and**park guard keep his eye

**on**John

**and**Jane Doe

**,**lest one piece

**of**bread

__be__placed undetected

**and**one bird survive

**.**

__Let__us assume that it would

__be__possible for an enemy to create an aerosol

**of**the causative agent

**of**epidemic typhus ( Rickettsia prowazwki ) over City A

**and**that

**a**large number

**of**cases

**of**typhus fever resulted therefrom

**.**

__Let__p

__be__the minimal polynomial for T

**,**

**Af**

**,**where the

**Af**

**,**are distinct irreducible monic polynomials over F

**and**the

**Af**are positive integers

**.**

__Let__V

__be__

**a**finite-dimensional vector space over an algebraically closed field F

**,**e.g.

**,**the field

**of**complex numbers

**.**

__Let__N

__be__

**a**positive integer

**and**

**let**V

__be__the space

**of**all N times continuously differentiable functions F

**on**the real line which satisfy the differential equation

**Af**where

**Af**are some fixed constants

**.**

__Let__us take

**a**set

**of**circumstances in which I happen to

__be__interested

**on**the legislative side

**and**in which I think every one

**of**us might naturally make such

**a**statement

**.**

__Let__the state

**of**the stream leaving stage R

__be__denoted by

**a**vector

**Af**

**and**the operating variables

**of**stage R by

**Af**

**.**

__Let__it

__be__granted then that the theological differences in this area between Protestants

**and**Roman Catholics appear to

__be__irreconcilable

**.**

__Let__us therefore put first things first

**,**

**and**make sure

**of**preserving the human race at whatever the temporary price may

__be__''

**.**

Let and nonsingular

__Let__

**be**

**a**real vector space equipped with

**a**

__nonsingular__real antisymmetric bilinear form ( i

**.**e

**.**

**a**symplectic vector space ).

__Let__

**be**

**a**real-graded vector space equipped with

**a**

__nonsingular__antisymmetric bilinear superform ( i

**.**e

**.**) such that is real if either or is an even element

**and**imaginary if both

**of**them are odd

**.**

Let and quadric

This is the affine cone over the projective

__quadric__S**.**__Let__N < sup >+</ sup >**be**the future part**of**the null cone ( with the origin deleted ).

Let and surface

__Let__M

**be**

**a**smooth manifold

**of**dimension n ; for instance

**a**

__surface__( in the case n = 2 ) or hypersurface in the Cartesian space R < sup > n + 1 </ sup >.

__Let__the

__surface__

**of**the sphere

**be**S

**.**The volume

**of**the cone with base area S

**and**height r is

**,**which must equal the volume

**of**the sphere:

**.**

__Let__us introduce the factor f < sub > j </ sub > that describes how the actual charge density differs from the average

**and**itself

**on**

**a**position

**on**the

__surface__

**of**the j-th conductor:

__Let__us note that the

__surface__integral

**of**this 2-form is the same as the

__surface__integral

**of**the vector field which has as components

**,**

**and**

**.**

__Let__us notice that we defined the

__surface__integral by using

**a**parametrization

**of**the

__surface__S

**.**We know that

**a**given

__surface__might have several parametrizations

**.**

Suppose that c is

**a**simple closed**curve**in**a**closed**,**orientable__surface__S**.**__Let__A**be****a**tubular neighborhood**of**c**.**Then A is an annulus**and**so is homeomorphic to the Cartesian product**of**__Let__X

**be**the infinite cyclic cover

**of**the knot complement

**of**

**K**

**.**This covering can

**be**obtained by cutting the knot complement along

**a**Seifert

__surface__

**of**

**K**

**and**gluing together infinitely many copies

**of**the resulting manifold with boundary in

**a**cyclic manner

**.**

__Let__us look at the

__surface__

**of**the earth: here the ground is flat ; there it is hilly

**and**mountainous ; in other places it is sandy ; in others it is barren ;

**and**elsewhere it is productive

**.**

__Let__us consider

**a**simple example

**of**

**a**body

**of**mass

**,**M

**,**having an acceleration

**,**

**a**

**,**

**and**

__surface__area

**,**A

**,**

**of**the

__surface__upon which the accelerating force is acting

**.**

0.263 seconds.