* 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 S ( fig. 5 ) be any optical system, rays proceeding from an axis point O under an angle u1 will unite in the axis point O ' 1 ; and those under an angle u2 in the axis point O ' 2.

The Beatles ' 1968 track " Back in the U. S. S. R " references the instrument in its final verse (" Let me hear your balalaikas ringing out / Come and keep your comrade warm ").

Using terms from formal language theory, the precise mathematical definition of this concept is as follows: Let S and T be two finite sets, called the source and target alphabets, respectively.

Let S be a vector space over the real numbers, or, more generally, some ordered field.

* Let A be a commutative ring with unity and let S be a multiplicative subset of A.

Let ( S ,*) be a set S with a binary operation * on it ( known as a magma ).

* Bowman, Durrell S. " Let Them All Make Their Own Music: Individualism, Rush and the Progressive / Hard Rock Alloy ," in Progressive Rock Reconsidered, Kevin Holm-Hudson ( ed ), Routledge, 2002.

Let S be a set of languages that is nontrivial, meaning

Let be a non-negative real-valued function of the interval, and let < math > S =

Let S be the group of all permutations of N, the natural numbers, that fixes all but finitely many numbers then:

Their first album, Let Them Eat Bingo, included the number one single " Dub Be Good to Me ", which caused a legal dispute revolving around allegations of infringement of copyright through the liberal use of unauthorised samples: the bassline was a note-for-note lift from " The Guns of Brixton " by The Clash and the lyrics borrowed heavily from " Just Be Good to Me " by The S. O. S.

A possible definition of spoiling based on vote splitting is as follows: Let W denote the candidate who wins the election, and let X and S denote two other candidates.

Let S be a subgroup of G, and let N be a normal subgroup of G. Then:

Let ( S, f ) be a game with n players, where S < sub > i </ sub > is the strategy set for player i, S = S < sub > 1 </ sub > × S < sub > 2 </ sub > ... × S < sub > n </ sub > is the set of strategy profiles and f =( f < sub > 1 </ sub >( x ), ..., f < sub > n </ sub >( x )) is the payoff function for x S. Let x < sub > i </ sub > be a strategy profile of player i and x < sub >- i </ sub > be a strategy profile of all players except for player i. When each player i < nowiki >

Let it go beyond a certain point, and it will tend for a time to gain strength from its own development as its effects spread and return to intensify the process of collapse ”.

To spread their message, members held showings of documentary films and operated initiatives such as " Let Freedom Ring ", a nation-wide network of recorded telephone messages.

: God bless Africa, Let her fame spread far and wide! Hear our prayer, May God bless us! Come, Spirit, come! Come!

A fan support campaign for 3LW named ' Never Let Go Of 3LW ' after their song " Never Let Go " spread to the radio, and the act was retained, despite the album loss.

Let D: dark spread, E: electricity price, C: coal cost, Nc: number of carbon credits necessary to cover coal operation ( 2 – 2. 5x that of gas ), Pcc: price of a carbon credit.

A fan support campaign for 3LW named ' Never Let Go Of 3LW ' after their song " Never Let Go " spread to the radio, and the act was retained, despite the album loss.

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.