We use the stronger statement that every odd ( antipode-preserving ) mapping h: S < sup > n-1 </ sup > → S < sup > n-1 </ sup > has odd degree.

Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S < sup > n </ sup > → ℝ < sup > n </ sup > that does not equalize on any antipodes then we can construct a map g: S < sup > n </ sup > → S < sup > n-1 </ sup > by the formula

Now let h: S < sup > n-1 </ sup > → S < sup > n-1 </ sup > be the restriction of g to the equator.

: Cement chemist notation: C < sub > 3 </ sub > S + H → C-S-H + CH

A practical method of determining whether an enantiomer is R or S is by using the right-hand rule: one wraps the molecule with the fingers in the direction 1 → 2 → 3.

: S → λ provided S does not appear on the right side of any rule

: 2 S < sub > 2 </ sub > O < sub > 3 </ sub >< sup > 2 −</ sup >< sub >( aq )</ sub > + I < sub > 2 </ sub >< sub >( aq )</ sub > → S < sub > 4 </ sub > O < sub > 6 </ sub >< sup > 2 –</ sup >< sub >( aq )</ sub > + 2 I < sup >−</ sup >< sub >( aq )</ sub >

: S → aSa,

: S → bSb,

: S → ε,

: S → aSa → aaSaa → aabSbaa → aabbaa.

: S → SS

* W. S. Judd, C. S. Campbell, E. A. Kellogg, P. F. Stevens, M. J. Donoghue, 2002.

* W. S. Judd, C. S. Campbell, E. A. Kellogg, P. F. Stevens, M. J. Donoghue ( 2002 ).

The classic example, considered by their American counterparts quite curious, was the maintenance of the internal comma in a British organisation of secret agents called the " Special Operations, Executive " — " S. O., E " — which is not found in histories written after about 1960.

Mount Melbourne ( 2, 730 m ) ( 74 ° 21 ' S., 164 ° 42 ' E.

Buckle Island in the Balleny Islands ( 66 ° 50 ' S., 163 ° 12 ' E.

" Histoire et Science Sociale: La Longue Durée " ( 1958 ) Annales E. S. C., 13: 4 October – December 1958, 725 – 753

* Kirk G. S .; Raven, J. E. and Schofield, M. ( 1983 ) The Presocratic Philosophers: a critical history with a selection of texts ( 2nd ed.

** translated by E. S.

28 .</ ref > One of the three Milesian philosophers, he is identified as a younger friend or student of Anaximander .< ref > Kirk, G. S., J. E.

124-126 .</ ref > While other philosophers also recognized such transitions in states of matter, Anaximenes was the first to associate the quality pairs hot / dry and cold / wet with the density of a single material and add a quantitative dimension to the Milesian monistic system .< ref > Kirk, G. S., J. E.

While the sun is similarly described as being aflame, it is not composed of rarefied air like the stars but rather of earth like the moon ; its burning comes not from its composition but rather from its rapid motion .< ref > Kirk, G. S., J. E.

* 1865 – American Civil War: Robert E. Lee surrenders the Army of Northern Virginia ( 26, 765 troops ) to Ulysses S. Grant at Appomattox Courthouse, Virginia, effectively ending the war.

From the most northerly point, Ras ben Sakka in Tunisia, in 37 ° 21 ′ N, to the most southerly point, Cape Agulhas in South Africa, 34 ° 51 ′ 15 ″ S, is a distance approximately of ; from Cape Verde, 17 ° 33 ′ 22 ″ W, the westernmost point, to Ras Hafun in Somalia, 51 ° 27 ′ 52 ″ E, the most easterly projection, is a distance ( also approximately ) of.

Additional peripheral cartridge-holders by companies such as P. R. E. S.

Because the WD1770 is capable of single density mode and uses the same IBM360 derived floppy disc format as the Intel 8271 found in the BBC Micro, it was also possible to run a DFS filing system with an alternate ROM, such as the P. R. E. S AP4 interface.

Alternative WD1770 / DFS Interfaces such as the P. R. E. S AP4 left & PAGE at E00h.

The P. R. E. S.

This provided an alternative to buying the combination of the P. R. E. S.

* E. S. Dallas ( 1866 ), The Gay Science, 2 volumes, on the aesthetics of poetry.

* 1957 – In India, Communists win the first elections in united Kerala and E. M. S.

In 1938, the first formal men's barbershop organization was formed, known as the Society for the Preservation and Encouragement of Barber Shop Quartet Singing in America ( S. P. E. B. S. Q. S. A ), and in 2004 rebranded itself and officially changed its public name to the Barbershop Harmony Society ( BHS ).

* Prediction: For every state in S ( k ) of the form ( X → α • Y β, j ) ( where j is the origin position as above ), add ( Y → • γ, k ) to S ( k ) for every production in the grammar with Y on the left-hand side ( Y → γ ).

* Scanning: If a is the next symbol in the input stream, for every state in S ( k ) of the form ( X → α • a β, j ), add ( X → α a • β, j ) to S ( k + 1 ).

* Completion: For every state in S ( k ) of the form ( X → γ •, j ), find states in S ( j ) of the form ( Y → α • X β, i ) and add ( Y → α X • β, i ) to S ( k ).

ENQUEUE (( γ → • S, 0 ), chart )

( 1 ) P → • S ( 0 ) # start rule

( 2 ) S → • S + M ( 0 ) # predict from ( 1 )

( 3 ) S → • M ( 0 ) # predict from ( 1 )

( 1 ) T → number • ( 0 ) # scan from S ( 0 )( 6 )

( 2 ) M → T • ( 0 ) # complete from ( 1 ) and S ( 0 )( 5 )

( 3 ) M → M • * T ( 0 ) # complete from ( 2 ) and S ( 0 )( 4 )

( 4 ) S → M • ( 0 ) # complete from ( 2 ) and S ( 0 )( 3 )

( 5 ) S → S • + M ( 0 ) # complete from ( 4 ) and S ( 0 )( 2 )