Let E be the intersection of the diagonals, and let F be on side DA and G be on side BC such that FEG is parallel to AB and CD.

Let ( E < sub > n </ sub >) be a sequence of events in some probability space.

Let E be the set of real numbers that can be defined by a finite number of words.

Let p be the nth decimal of the nth number of the set E ; we form a number N having zero for the integral part and p + 1 for the nth decimal, if p is not equal either to 8 or 9, and unity in the contrary case.

Let further P < sub > Alice </ sub > denote the first plaintext block of Alice's message, let E denote encryption, and let P < sub > Eve </ sub > be Eve's guess for the first plaintext block.

E. g., " Let us lie in wait for the just, because he is not for our turn … He boasteth that he hath the knowledge of God, and calleth himself the son of God … and glorieth that he hath God for his father.

Let D, E and F be given on the lines BC, AC and AB so that the equation holds.

Let φ: X → Y be a continuous and absolutely continuous function ( where the latter means that ρ ( φ ( E )) = 0 whenever μ ( E ) = 0 ).

Let E be the intersection of the diagonals, and let F be on side DA and G be on side BC such that FEG is parallel to AB and CD.

With features from Destiny's Child, Juelz Santana, Jim Jones, N. O. R. E., and producer Digga, it included the relatively successful singles, " Let Me Know " and " What Means The World To You ".

* Larry E. Williams was a roadie for Neil Diamond before writing Let Your Love Flow.

Let ƒ be measurable, E (| ƒ |) < ∞, and T be a measure-preserving map.

Let G be a finite simple undirected graph with edge set E. The power set of E becomes a Z < sub > 2 </ sub >- vector space if we take the symmetric difference as addition, identity function as negation, and empty set as zero.

Let E and F be two vector bundles over a differentiable manifold M. An R-linear mapping of sections is said to be a kth-order linear differential operator if it factors through the jet bundle J < sup > k </ sup >( E ).

Let E → M be a vector bundle with covariant derivative ∇ and γ: I → M a smooth curve parameterized by an open interval I.

* Let Something Good Be Said: Speeches and Writings of Frances E. Willard, ed.

Let p: E → B be a basepoint-preserving Serre fibration with fiber F, that is, a map possessing the homotopy lifting property with respect to CW complexes.

Let B equal S < sup > 2 </ sup > and E equal S < sup > 3 </ sup >.

Let A be a set ( of the elements of an algebra ), and let E be an equivalence relation on the set A.

Let us label with s ( s = 1, 2, 3, ...) the exact states ( microstates ) that the system can occupy, and denote the total energy of the system when it is in microstate s as E < sub > s </ sub >.

It features: " The Demon ", " Thunderbolt ", " Dearth ", " Knuckles ", " Star Song ", " Firepower ", " New Waver ", " Space Jam ", " Zoom ", " So Very Sad About Us ", " Phang ", " Speed Racer ", " The Eternal E ", " Hairy Eyeball ", " The Groover ", " Hell Bent for Hell ", " Rachel ", " A Dog's Prayer ", " Blast ", " The Black Rider ", " Slurpee ", " Flipper ", " The Viper ", " Bitch ", " Fried ", " Harmonia ", " U. S. A .", " The Tracer ", " Envelope Woman ", " Plastic Guy ", " Glasgow 3am ", " The Road Is Long ", " Funkified ", " Rigamarole ", " Depresso ", " The Streets Are Hot Tonite ", " Dawn At 16 ", " Spazmatazz ", " Fucker ", " In the Arms of Sheep ", " Speed ", " 77 ", " Me Rock You Snow ", " Feelium ", " Is Alex Milton ", " Rubberman ", " Spacer ", " Rock Me ", " Weeping Willowly ", " Rings ", " So So Pretty ", " Lucky Lad ", " Jackboot ", " Milieu ", " Disconnected ", " Let Your Lazer Love Light Shine Down ", " Phreak ", " Porkbelly ", " Robot Lover ", " Jimmy James ", " America ", " Slinkeepie ", " Dummy Tum Tummy ", " Fakir ", " Jake ", " Camaro ", " Moonkids ", " Make It Fungus ", " V-8 ", and " Die ".

Let the S be a sphere with center O, P a plane which intersects S. Draw perpendicular to P and meeting P at E., Let A and B be any two points in the intersection.

Let the open enemy to it be regarded as a Pandora with her box opened ; ;

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 him be now ''!!

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 T be a linear operator on the finite-dimensional vector space V over the field F.

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 Af be the null space of Af.

Let N be a linear operator on the vector space V.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

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

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 this be denoted by Af.

Let it be granted then that the theological differences in this area between Protestants and Roman Catholics appear to be irreconcilable.

Let not your heart be troubled, neither let it be afraid ''.

The same God who called this world into being when He said: `` Let there be light ''!!

For those who put their trust in Him He still says every day again: `` Let there be light ''!!

Let us therefore put first things first, and make sure of preserving the human race at whatever the temporary price may be ''.

Let her out, let her out -- that would be the solution, wouldn't it??