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* X is used by the illiterate in lieu of a signature and indicates a signature line on forms.
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X and is
The major question in this chapter is: What is the probability of exactly X successes in N trials??
The outcome of the experiment is X successes.
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.
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.
* 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.
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:
Each choice function on a collection X of nonempty sets is an element of the Cartesian product of the sets in X.
If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.
For example, suppose that each member of the collection X is a nonempty subset of the natural numbers.
For example, suppose that X is the set of all non-empty subsets of the real numbers.
X and used
A binary operation is a binary function where the sets X, Y, and Z are all equal ; binary operations are often used to define algebraic structures.
The continuous dual space can be used to define a new topology on X: the weak topology.
" Station X ", " London Signals Intelligence Centre " and " Government Communications Headquarters " were all cover names that were used during the war, and the latter ( GCHQ ) was adopted for the successor peacetime organisation that still bears this name.
* Steve-Mentally deficient co-worker, gives a crayoned " X " as a seal of approval, used as a scapegoat for projects doomed to failure
The arrangement of the Psalms in the Rule of St. Benedict had a profound impact upon the breviaries used by secular and monastic clergy alike, up until 1911 when Pope St. Pius X introduced his reform of the Roman Breviary.
For example, an " X " is used to indicate a variable group amongst a class of compounds ( though usually a halogen ), while " R " is used for a radical, meaning a compound structure such as a hydrocarbon chain.
Sometimes used as a symbol for Christian marriage: Two gold wedding rings interlinked with the Greek letters Chi ( letter ) | chi ( X ) and Rho ( letter ) | rho ( P )— the first two letters in the Greek word for " Christ " ( see Labarum )
When Microsoft later set out to develop a gaming console, the X was used as the basis of the name Xbox to indicate that the console was based on DirectX technology.
The Nova 4 / S and 4 / X used separate memory boards.
The Nova 4 / X had the on-board memory management unit ( MMU ) enabled to allow up to 128 kWords of memory to be used ( the MMU was also installed in the Nova 4 / S, but was disabled by firmware ).
In Sicyon, a variant glyph resembling an X ( x14px ) was used in the same function as Corinthian x14px.
* Extended Validation Certificate, a type of X. 509 Certificate used in securing computer communications
It is often convenient to express the theory using the algebra of random variables: thus if X is used to denote a random variable corresponding to the observed data, the estimator ( itself treated as a random variable ) is symbolised as a function of that random variable,.
Sky Sports used the song as the intro for Super League in the late 2000s and the X Factor frequently use the song for the contestants ' introductions.
The 2011 publication " The Generation X Report ", based on annual surveys used in the Longitudinal Study of today's adults, finds that Gen Xers, who are defined in the report as people born between 1961 and 1981, are highly educated, active, balanced, happy and family-oriented.
In the last years of the reign of Ferdinand III of Castile, Castilian began to be used for certain types of documents, and it was during the reign of Alfonso X that it became the official language.
IRIX used the Indigo Magic Desktop, which by default used the 4Dwm X window manager with a custom look designed using the Motif widget toolkit.
The 1975 movie Inserts directed by John Byrum about a pornographic film production, which starred Richard Dreyfuss and was originally released with an X rating, took its name from the double meaning that " insert " both refers to this film technique ( often used in pornographic filmmaking ) and to sexual intercourse.
More unusual configurations such as the H, U, X, and W have also been used.
This X < sub > L </ sub > is used in complement with an active semiconductor device to maintain very accurate voltage control.
X. 25 over the D channel is used at many point-of-sale ( credit card ) terminals because it eliminates the modem setup, and because it connects to the central system over a B channel, thereby eliminating the need for modems and making much better use of the central system's telephone lines.
The D channel can also be used for sending and receiving X. 25 data packets, and connection to X. 25 packet network, this is specified in X. 31.
X and by
The sensing of this rotation by the X gyro can be utilized to direct the platform into proper heading.
Hence S breaks up into uncountably many orbits under G. Using the axiom of choice, we could pick a single point from each orbit, obtaining an uncountable subset X of S with the property that all of its translates by G are disjoint from X.
This use of the title is said to have originated in the right conceded to the king of France, by the concordat between Pope Leo X and Francis I ( 1516 ), to appoint abbés commendataires to most of the abbeys in France.
A large hieratic bronze of Innocent X by Algardi is now to be found in the Capitoline Museums.
Although various Ambrosians were given the title of Blessed in recognition of their holiness: Antonio Gonzaga of Mantua, Filippo of Fermo, and Gerardo of Monza, the order was eventually dissolved by Pope Innocent X in 1650.
Determination of X Window System capabilities is typically performed by checking for the existence of the variable.
Alicante was finally taken in 1246 by the Castilian king Alfonso X, but it passed soon and definitely to the Kingdom of Valencia in 1298 with King James II of Aragon.
The college was suppressed in 1908 by Pope Pius X and their duties were transferred to the protonotarii apostolici participantes.
) Then X < sub > i </ sub > is the value ( or realization ) produced by a given run of the process at time i. Suppose that the process is further known to have defined values for mean μ < sub > i </ sub > and variance σ < sub > i </ sub >< sup > 2 </ sup > for all times i. Then the definition of the autocorrelation between times s and t is
The Catholic Encyclopaedia make the point that the oath and the penalties were so severe that it stopped the efforts of the Gallicanizing party among the English Catholics, who had been ready to offer forms of submission similar to the old oath of Allegiance, which was condemned anew about this time by Pope Innocent X.
Thus, ocular albinism occurs more frequently in males as they have a single X and Y chromosome, unlike females, whose genetics are characterized by two X chromosomes.
A relation as defined by the triple ( X, Y, G ) is sometimes referred to as a correspondence instead.
In this case the relation from X to Y is the subset G of X × Y, and " from X to Y " must always be either specified or implied by the context when referring to the relation.
Given any element x of X, there is a function f < sup > x </ sup >, or f ( x ,·), from Y to Z, given by f < sup > x </ sup >( y ) := f ( x, y ).
Similarly, given any element y of Y, there is a function f < sub > y </ sub >, or f (·, y ), from X to Z, given by f < sub > y </ sub >( x ) := f ( x, y ).
If X and Y are Banach spaces over the same ground field K, the set of all continuous K-linear maps T: X → Y is denoted by B ( X, Y ).
Is X a Banach space, the space B ( X ) = B ( X, X ) forms a unital Banach algebra ; the multiplication operation is given by the composition of linear maps.
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