Let ρ be the initial topology on X induced by C < sub > τ </ sub >( X ) or, equivalently, the topology generated by the basis of cozero sets in ( X, τ ).

Let ρ, θ, and φ be spherical coordinates for the source point P. Here θ denotes the angle with the vertical axis, which is contrary to the usual American mathematical notation, but agrees with standard European and physical practice.

Let ρ be the correlation coefficient between X < sub > 1 </ sub > and X < sub > 2 </ sub > and let σ < sub > i </ sub >< sup > 2 </ sup > be the variance of X < sub > i </ sub >.

Let ρ denote the number density of electrons, and φ the electric potential.

Let X be a locally compact Hausdorff space equipped with a finite Radon measure μ, and let Y be a σ-compact Hausdorff space with a σ-finite Radon measure ρ.

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 ρ be a unitary representation of a compact group G on a complex Hilbert space H. Then H splits into an orthogonal direct sum of irreducible finite-dimensional unitary representations of G.

Lemma: Let A ∈ C < sup > n × n </ sup > be a complex-valued matrix, ρ ( A ) its spectral radius and ||·|| a consistent matrix norm ; then, for each k ∈ N:

Theorem: Let A ∈ C < sup > n × n </ sup > be a complex-valued matrix and ρ ( A ) its spectral radius ; then

Let π: P → X be a principal G-bundle and let ρ: G → Homeo ( F ) be a continuous left action of G on a space F ( in the smooth category, we should have a smooth action on a smooth manifold ).

Let this property be represented by just one scalar variable, q, and let the volume density of this property ( the amount of q per unit volume V ) be ρ, and the all surfaces be denoted by S. Mathematically, ρ is a ratio of two infinitesimal quantities:

Let V be a finite-dimensional vector space over a field F and let ρ: G → GL ( V ) be a representation of a group G on V. The character of ρ is the function χ < sub > ρ </ sub >: G → F given by

Let ρ and σ be representations of G. Then the following identities hold:

* Let ρ: G → GL ( n, C ) be a representation.

Let ρ be an irreducible representation of a finite group G on a vector space V of ( finite ) dimension n with character χ.

Let A be an irreducible non-negative n × n matrix with period h and spectral radius ρ ( A ) = r. Then the following statements hold.

Let a light beam travel down the vertical line TP and bounce off from P. The beam's angle of inclination from the mirror is, so when it bounces off, its angle of inclination must be equal to.

Let P be a principal H-bundle on M, equipped with a Cartan connection η: TP → g. If g is a reductive module for H, meaning that g admits an Ad ( H )- invariant splitting of vector spaces g = h ⊕ m, then the m-component of η generalizes the solder form for an affine connection.

Let q: TP → TP / G be the quotient map.

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 ").

His final solo album of the decade was 1987's Never Let Me Down, where he ditched the light sound of his previous two albums, instead offering harder rock with an industrial / techno dance edge.

Her first solo single was " She'll Be Sorry / Let Me Go Baby " ( 1965 ).

Before he died, Rabbeinu HaKadosh said: ‘ I need my sons !… Let the lamp continue to burn in its usual place ; let the table be set in its usual place ; let the bed be made in its usual place .” ( Kesubbos / Ketubot 103a )

Ashcroft composed a paean called " Let the Eagle Soar " which he sang at the Gordon-Conwell Theological Seminary in February 2002, which was satirically featured in Michael Moore's 2004 movie Fahrenheit 9 / 11 and has been frequently mocked by comedians such as David Letterman, Stephen Colbert and David Cross, to name a few.

* 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.

In early November 2005, Staind released the limited edition 2-CD / DVD set of Chapter V. The set included several rarities and fan favorites — music videos ; a complete, 36-page booklet with exclusive artwork ; an audio disc with an acoustic rendition of " This is Beetle "; the original, melodic rendition of " Reply "; the previously released B-side singles " Novocaine " and " Let It Out "; and live versions of " It's Been Awhile " and " Falling ", among many others.

In the song " Tricky Kid " from Pre-Millennium Tension, he wrote " As long as you're humble / Let you be the king of jungle.

Twin / Tone was not being paid reliably by distributors and the sales of Let It Be were not high enough to justify extra promotion.

The Decemberists ' frontman Colin Meloy wrote a memoir centered around the album " Let it Be " for the 331 / 3 imprint in the early 2000s.

* " Identity " / " Let ’ s Submerge " ( July 1978: EMI International, INT 563 )-No.

These political marriages were summed up in the following Latin elegiac couplet: Bella gerant aliī, tū fēlix Austria nūbe / Nam quae Mars aliīs, dat tibi regna Venus, " Let others wage war, but thou, O happy Austria, marry ; for those kingdoms which Mars gives to others, Venus gives to thee.

* " So Right Tonight " / " Let the Good Times Roll, Creole " ( Warner Bros. 5171 )

* Hail Hail Rock and Roll / Let the Good Times Roll Again ( Sonet 2188 )

* We pray for one last landing / On the globe that gave us birth / Let us rest our eyes on the fleecy skies / And the cool, green hills of Earth.

Let φ range from 0 to 2π, and let θ range from 0 to π / 2.

In Act I, scene 1, Antony not only speaks again of his empire but constructs a theatrical image: “ Let Rome and Tiber melt, and the wide arch / Of the ranged empire fall ...

* 1973 " Let Me Carry Your Bag " / " I Saw You in June " ( Polydor )

Originally known as The Hi-Fi's, the group changed its name to The 5th Dimension in late 1966 and was best-known during the late 1960s and early 1970s for popularizing the hits " Up, Up and Away ", " Stoned Soul Picnic ", " Aquarius / Let the Sunshine In ", " Wedding Bell Blues ", " One Less Bell to Answer ", "( Last Night ) I Didn't Get to Sleep at All ", and The Magic Garden LP.

Weeks later the group's success broke wide open, with " Aquarius / Let the Sunshine In " from the musical Hair topping the Hot 100 in April and May and " Wedding Bell Blues " doing so in November, with a U. S. # 20 cover of Neil Sedaka's " Workin ' On A Groovy Thing " in-between.

The group performed and sang a medley consisting of " What the World Needs Now Is Love " and The Beatles ' " All You Need Is Love " on 23 February 1969 and performed and sang " Aquarius / Let the Sunshine In " on 18 May 1969, the day after the medley fell from the Hot 100 summit.

The group came back for the last fifteen minutes of the show and sang their hits " Up, Up and Away ", " One Less Bell to Answer ", " Stoned Soul Picnic ", " Wedding Bell Blues ", and finished up with " Aquarius / Let the Sunshine In ".

Sting recorded a new version of the song " Let Your Soul Be Your Pilot " as a duet with Glee actor / singer Matthew Morrison, which appears on Morrison's 2011 eponymous debut album.