Let v be the last vertex before u on this path.

" Let there be no compulsion in the religion: Surely the Right Path is clearly distinct from the crooked path.

Let e < sub > i </ sub > denote the trivial path at vertex i. Then we can associate to the vertex i, the projective KΓ module KΓe < sub > i </ sub > consisting of linear combinations of paths which have starting vertex i. This corresponds to the representation of Γ obtained by putting a copy of K at each vertex which lies on a path starting at i and 0 on each other vertex.

Let X be a topological space which is the union of two open and path connected subspaces ,.

Let the topological space X be covered by the interiors of two subspaces and let A be a set which meets each path component of and.

A connection ∇ on a vector bundle E → M defines a notion of parallel transport on E along a curve in M. Let γ: → M be a smooth path in M. A section σ of E along γ is said to be parallel if

The Maoists announced a ‘ People's War ’ on February 13, 1996, under the slogan: " Let us march ahead on the path of struggle towards establishing the people's rule by wreaking the reactionary ruling system of state.

Let now v and w be two vertices in G. Any spanning tree contains precisely one simple path between v and w. Taking this path in the uniform spanning tree gives a random simple path.

Let again G be a graph and let v and w be two vertices in G. Construct a random path from v to w inductively using the following procedure.

Let A and B be sets of vertices in a ( possibly infinite ) digraph G. Then there exists a family P of disjoint A-B-paths and a separating set which consists of exactly one vertex from each path in P.

Let the function x ( t ) define the path followed by a point.

The previous statement can be proven as follows: Let p be an s-t path.

Let it now be seen what your endeavors in the path of detachment will reveal.

Let us suppose that a derivative H pays the average value of S between 0 and T then a sample path corresponds to a set and

Let PH be the path group of H. That is, PH is the space of paths in H based at the identity together with the compact-open topology.

The minimal separators also form an algebraic structure: For two fixed vertices a and b of a given graph G, an ( a, b )- separator S can be regarded as a predecessor of another ( a, b )- separator T, if every path from a to b meets S before it meets T. More rigorously, the predecessor relation is defined as follows: Let S and T be two ( a, b )- separators in ' G '.

: Let us walk the path

Forgiveness is the other name of non-violence ( Ahimsa ) which shows the right path of ' Live and Let Live ' to one and all.

" The album Waylon and Willie followed in 1978, producing the hit single, " Mammas Don't Let Your Babies Grow Up to Be Cowboys ".

The album's first single, " Never There ", hit number 1 on Billboard's Modern Rock Tracks, and was followed by " Let Me Go " in 1999, which hit number 30.

Shearer won an Academy Award for Best Actress for her role in The Divorcee, and a series of highly successful pre-Code films followed, including Let Us Be Gay ( 1930 ), Strangers May Kiss ( 1931 ), A Free Soul ( 1931 ), Private Lives ( 1931 ) and Riptide ( 1934 ).

Such events are followed with Ben's voiceover (" Let me try that again " or " Damn "), after which the sequence starts over to allow the player to retry.

More hits followed into 1971 including " Promises, Promises " (# 19, 1968 ); " Who Is Gonna Love Me " (# 32, 1968 ) with " B " side, "( There's ) Always Something There to Remind Me " becoming another double-sided hit ; " I'll Never Fall in Love Again " (# 6, 1969 ); " You've Lost That Lovin ' Feelin '" (# 15, 1969 ); " This Girl's in Love with You " (# 7, 1969 ); " Make It Easy on Yourself " (# 37, 1970 ); " Who Is Gonna Love Me " (# 33, 1968 ); " The April Fools " (# 37, 1969 ); " Let Me Go to Him " (# 32, 1970 ); and " Paper Mache " (# 43, 1970 ).

More chart success followed with " Let Your Heart Dance ", " My World " and " Sound Of Confusion ".

It was soon followed into the charts by " Let Your Heart Dance ", " My World " and " Sound Of Confusion ".

In a surprising ending, where Richard refuses to be captured and leaps down to his death with the " wrong " closing line " Let us to't pell-mell ; if not to heaven, then hand-in-hand to hell ", his falling into the inferno is followed by the eerily upbeat tune " I'm Sitting On The Top Of The World " ( Ray Henderson, Joe Young and Sam Lewis ) in the classic version sung by Al Jolson.

Let one round be defined as a sequence of consecutive losses followed by either a win, or bankruptcy of the gambler.

Their new album " Es werde Nicht " ( translates to " Let there be Nothing ", a pun on " Es werde Licht "-" Let there be Light ") will be released in September 2011, followed by a big tour with concerts of regular length.

Their second single, " If I Let You Go ", released in August 1999 along with the highly acclaimed " Flying Without Wings " produced by Steve Mac and written by Wayne Hector ( their first ' Record of the Year '), released in October the same year, also followed suit.

" In the month that followed the attacks, when New York City mayor Rudy Giuliani refused to cash a $ 10 million check written by Saudi Prince Alwaleed bin Talal in light of the Prince's suggestion that the attacks were an indication that the United States " should re-examine its policies in the Middle East and adopt a more balanced stand toward the Palestinian cause ," McKinney published an open letter to the Saudi Prince, in which she wrote of her disappointment at Giuliani's action and stated, " Let me say that there are a growing number of people in the United States who recognize, like you, that U. S. policy in the Middle East needs serious examination ... Your Royal Highness, many of us here in the United States have long been concerned about reports by Amnesty International and Human Rights Watch that reveal a pattern of excessive, and often indiscriminate, use of lethal force by Israeli security forces in situations where Palestinian demonstrators were unarmed and posed no threat of death or serious injury to the security forces or to others.

That same year, Let It Be Me, an English version of his Je t ' appartiens, became a hit for the Everly Brothers, followed, over the years, by Bob Dylan, Nina Simone, Elvis Presley, Willie Nelson, Jerry Butler, Sam & Dave, and James Brown.

More chart success followed with " Let Your Heart Dance ", " My World " and " Sound Of Confusion ".

The twelve poems that comprise this section of the epic work have been translated into English regularly since even before its initial publication in Spanish in 1950, beginning with a 1948 translation by Hoffman Reynolds Hays in The Tiger's Eye, a journal of arts and literature published out of New York from 1947 – 1949, and followed closely by a translation by Waldeen in 1950 in a pamphlet called Let the Rail Splitter Awake and Other Poems for a Marxist publishing house in New York.

It peaked at number 19, followed by " Let the Cowboy Rock " at number 31.

Kwame is no stranger to Center Stage, his play Elmina's Kitchen was staged in 2005, followed by Let There Be Love in 2010, and in 2007 he directed Naomi Wallace's Thing's of Dry Hours.

Further singles " I Should've Never Let You Go " and " These Days " followed and in August, the group embarked on its first national tour.

The group followed this album up with a release for former MFSB guitarist Norman Harris ' new record label Gold Mind, with front man Bunny Sigler entitled " Let Me Party With You ".

Yearwood followed the studio album with her first Holiday compilation in 1994 titled, The Sweetest Gift, which included cover versions of Christmas standards, such as " Away in a Manger ," " Let it Snow!

One of the band's most-heard songs, " Wrong to Let You Go ", was preceded and followed by collaborations with other musicians.

It was preceded a week earlier by the remastered " Let That Be Your Last Battlefield " and followed a week later by the remastered " The Changeling.

It was preceded a week earlier by the remastered version of " Day of the Dove " and followed a week later by the remastered version of " Let That Be Your Last Battlefield.