Each performance of an n-trial binomial experiment results in some whole number from 0 through N as the value of the random variable X, where Af.

The outcome of the experiment is X successes.

The random variable X takes the values Af with probabilities Af or, more briefly Af.

We shall find a formula for the probability of exactly X successes for given values of P and N.

When each number of successes X is paired with its probability of occurrence Af, the set of pairs Af, is a probability function called a binomial distribution.

The several trials of a binomial experiment produce a new random variable X, the total number of successes, which is just the sum of the random variables associated with the single trials.

Their sum is X, the total number of successes, which in this experiment has the value Af.

The list of text forms in the W-region of memory and the contents of the information cells in the X and Y-regions are no longer required.

For the case of a purely inertial autonavigator consisting of three restrained gyros, a coordinate system is used where the sensitive axis of the X accelerometer is parallel to the east-west direction at the base point, and the Y accelerometer sensitive axis is parallel to the north-south direction at the base point.

The input axis of the X gyro, when pointing in the east-west direction, is always perpendicular to the spin axis of earth.

The sensing of this rotation by the X gyro can be utilized to direct the platform into proper heading.

The Greek evidently fell for her, `` Monsieur X '' recounted, and to clinch what he thought was an affair in the making he gave her 100,000 francs ( about $300 ) and led her to the roulette tables.

* If numbers have mean X, then.

* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.

The groove marked I indicates units, X tens, and so on up to millions.

A choice function is a function f, defined on a collection X of nonempty sets, such that for every set s in X, f ( s ) is an element of s. With this concept, the axiom can be stated:

: For any set X of nonempty sets, there exists a choice function f defined on X.

Each choice function on a collection X of nonempty sets is an element of the Cartesian product of the sets in X.

: Given any set X of pairwise disjoint non-empty sets, there exists at least one set C that contains exactly one element in common with each of the sets in X.

This guarantees for any partition of a set X the existence of a subset C of X containing exactly one element from each part of the partition.

The substantially revised 1995 version is covered by the X. 680 series.

The substantially revised 1995 version is covered by the X. 680 series.

The U. S. Census Bureau cites Generation X as highly educated, statistically holding the highest education levels when looking at current age groups: U. S. Census Bureau, in their 2009 Statistical Abstract.

One Canadian author, economist and demographer David Foot, divides the generation born after the baby boomers into two groups in his book Boom Bust & Echo: How to Profit from the Coming Demographic Shift: Generation X, born between 1960 and 1966 ; and the " Bust Generation ", born between 1967 and 1979.

The earliest association between anime and adult animation occurred prior to the 1972 release of Fritz the Cat when American distributors attempted to cash in on the publicity garnered from the rating by rushing out dubbed versions of two other adult animations from Japan, both of which featured an X rating in their advertising material: Senya ichiya monogatari and Kureopatora, retitled One Thousand and One Arabian Nights and Cleopatra: Queen of Sex, respectively.

* 1971 – Russell Allen, American singer-songwriter ( Symphony X, Adrenaline Mob, Allen-Lande, and Star One )

* X Minus One: " Pictures Don't Lie " ( October 24, 1956 )

One way of expressing the Lie bracket is through the formalism of Lie derivatives, which identifies a vector field X with a first order partial differential operator L < sub > X </ sub > acting on smooth functions by letting L < sub > X </ sub >( f ) be the directional derivative of the function f in the direction of X.

One defines μ ( Y ) to equal μ ( X ).

One can think of the ring R as arising from R by adding one new element X to R, and extending in a minimal way to a ring in which X satisfies no other relations than the obligatory ones, plus commutation with all elements of R ( that is ).

One obtains the value f ( r ) by substitution of the value r for the symbol X in P. One reason to distinguish between polynomials and polynomial functions is that over some rings different polynomials may give rise to the same polynomial function ( see Fermat's little theorem for an example where R is the integers modulo p ).

If R is an integral domain and f and g are polynomials in R, it is said that f divides g or f is a divisor of g if there exists a polynomial q in R such that f q = g. One can show that every zero gives rise to a linear divisor, or more formally, if f is a polynomial in R and r is an element of R such that f ( r ) = 0, then the polynomial ( X − r ) divides f. The converse is also true.

One of the predecessors of Alcatel-Lucent, the Bell Telephone Manufacturing Company, developed the BTMC DPS-1500 packet-switching ( X. 25 ) network and used PDP-11s in the regional and national network management system, with the Unibus directly connected to the DPS-1500 hardware.

One approach to measure theory is to start with a Radon measure, defined as a positive linear functional on C ( X ).

One might expect that by the Hahn-Banach theorem for bounded linear functionals, every bounded linear functional on C < sub > c </ sub >( X ) extends in exactly one way to a bounded linear functional on C < sub > 0 </ sub >( X ), the latter being the closure of C < sub > c </ sub >( X ) in the supremum norm, and that for this reason the first statement implies the second.

One would like to assign a size to every subset of X, but in many natural settings, this is not possible.

One can show that C < sub > τ </ sub >( X ) = C < sub > ρ </ sub >( X ) in the above construction so that the rings C ( X ) and C *( X ) are typically only studied for completely regular spaces X.

X. 690, " Specification of ASN. 1 encoding rules: Basic, Canonical, and Distinguished Encoding Rules ", 1994

ASN. 1 is a joint standard of the International Organization for Standardization ( ISO ), International Electrotechnical Commission ( IEC ), and International Telecommunication Union Telecommunication Standardization Sector ITU-T, originally defined in 1984 as part of CCITT X. 409: 1984.

ASN. 1 moved to its own standard, X. 208, in 1988 due to wide applicability.

Application layer protocols such as X. 400 electronic mail, X. 500 and Lightweight Directory Access Protocol ( LDAP ) directory services, H. 323 ( VoIP ), Kerberos, BACnet and Simple network management protocol ( SNMP ) use ASN. 1 to describe the Protocol data units ( PDU ) they exchange.

Important features of X. 400 include structured addressing, ASN. 1 binary code enabling multimedia content ( predating and more efficient than MIME ), and integrated security capabilities.

ASN. 1 is a joint ISO and ITU-T standard, originally defined in 1984 as part of CCITT X. 409: 1984.

ASN. 1 moved to its own standard, X. 208, in 1988 due to wide applicability.

Siemens Nixdorf contributed its X. 500 server and ASN / 1 compiler tools.

and was the primary character set in ASN. 1 used in early versions of X. 500 and X. 509