Let us now regard D as a linear operator on the subspace V.

Most recently Chuck D became involved in Let Freedom Sing: The Music of the Civil Rights, a 3-CD box set from Time Life.

Let and be differentiable functions, and let D be the total derivative operator.

* Let D < sub > 1 </ sub > and D < sub > 2 </ sub > be directed sets.

Let C and D be categories.

Let C and D be categories.

Let a trapezoid have vertices A, B, C, and D in sequence and have parallel sides AB and CD.

Let φ be a net on X based on the directed set D and let A be a subset of X, then φ is said to be frequently in ( or cofinally in ) A if for every α in D there exists some β ≥ α, β in D, so that φ ( β ) is in A.

: Let U be a simple right R-module and write D

Let C be the category of vector spaces K-Vect over a field K and let D be the category of algebras K-Alg over K ( assumed to be unital and associative ).

Let X and Y be objects of a category D. The product of X and Y is an object X × Y together with two morphisms

Let U be a functor from D to C, and let X be an object of C. Then the following statements are equivalent:

Let A, B, C and D be the hexes that make up a rhombus, with A and C being the non-touching pair.

Let P < sup >− 1 </ sup > DP be an eigendecomposition of M, where P is a unitary complex matrix whose rows comprise an orthonormal basis of eigenvectors of M, and D is a real diagonal matrix whose main diagonal contains the corresponding eigenvalues.

Let G be a k-regular graph with diameter D and eigenvalues of adjacency matrix.

* Baby D, singer (" Let me be your fantasy ") lived in Kingsbury.

Let it be D < sub > n </ sub >.

* Weir, D., Noyes, D. Raising Hell How the Center for Investigative Reporting Gets the Story, ( Chapter on " Let Them Eat est.

After the celebratory tone of Christ's reception into heaven, marked by the choir's D major acclamation " Let all the angels of God worship him ", the " Whitsun " section proceeds through a series of contrasting moods — serene and pastoral in " How beautiful are the feet ", theatrically operatic in " Why do the nations so furiously rage "— towards the Part II culmination of " Hallelujah ".

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

The first was " I Won't Let You Down " ( 1982 ), as the lead singer in the trio Ph. D., with Tony Hymas and Simon Phillips.

Later games in the series featured a military group of the Holy Lodis Empire alternatively known as " The Dark Knights " and " The Brigade of the Radiant Cross of the Caliginous Order " ( in Tactics Ogre: Let Us Cling Together and Ogre Battle 64: Person of Lordly Caliber respectively ) who serve as primary antagonists to the player, the word " caliginous " connotating " dark " in the latter case.

" The popular western slogan during the NEP – appearing on many bumper stickers – was " Let the Eastern bastards freeze in the dark ".< ref name =" abheritage "> Vicente, Mary Elizabeth.

In a speech given to the Boston African Masonic Lodge, Hall stated, “ My brethren, let us not be cast down under these and many other abuses we at present labour under: for the darkest is before the break of day …. Let us remember what a dark day it was with our African brethren, six years ago, in the French West Indies.

Let your mountains dark and dreary be.

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 S: spark spread, E: electricity price, G: gas cost, Ng: number of carbon credits necessary to cover gas operation, 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 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.