Gavin Kratt played himself ( although unrelated to the Kratt brothers in the show ) in " Bass Class ", and Ronan Kratt played himself ( also canonically unrelated to the Kratts ) in " The Blue and the Grey ".

Chris ' oldest son, Aidan Kratt, played himself ( although unrelated to Chris and Martin canonically ) in " Build It Beaver " in Wild Kratts.

Unlike the live-action film series, the animated films are canonically set in the same universe as the game series.

She is a freshmen at the beginning of the novel and is 15 ( this changes later in the series, and canonically it is considered that she is seventeen and a senior ).

However, in the Star Trek: Voyager episode " The Void ", the text of the founding document is shown on screen ( the preamble is a slightly reworded version of the UN Charter ), and it is clearly called the " Charter of the United Federation of Planets ," canonically establishing that as the name of the founding document.

Pope John Paul II granted the See of San Jose independence on January 27, 1981 ; the diocese was canonically erected later that year by archbishops Pio Laghi, Apostolic Delegate to the United States, and John R. Quinn, Metropolitan Archbishop of San Francisco, on March 18, the vigil of the feast of Saint Joseph.

This military ordinariate is a special diocese that dates back to 1917 and was canonically erected in 1939 by Pope Pius XII for the members and others employed by the five branches of the United States military ( Air Force, Army, Coast Guard, Marine Corps, and Navy ), for the employees of the U. S. Veterans Health Administration and its patients, and for Americans in government service overseas.

The Diocese of Charleston was canonically erected on July 11, 1820 by Pope Pius VII making it the seventh oldest Roman Catholic diocese in the United States.

No one shall be consecrated bishop who has not been canonically elected.

Finally there is the " basic transport representation ", which is either the canonical form or the same encoded as Base64 and surrounded by braces, the latter intended to safely transport a canonically encoded S-expression in a system which might change spacing ( e. g. an email system which has 80-character-wide lines and wraps anything longer than that ).

Conventual priories are those autonomous houses which have no abbots, either because the canonically required number of twelve monks has not yet been reached, or for some other reason.

# The cohomology of the complex is canonically isomorphic to the space of harmonic sections,, in the sense that each cohomology class has a unique harmonic representative.

The simplest and most common understanding of the term " practising Catholic ", a minimal interpretation of the phrase, is that the person has been baptized ( or canonically received into full communion with the Catholic Church ) and strives to observe the Church's precept of attending celebration of the Mass or Divine Liturgy on Sundays and holy days of obligation.

Often his music uses strict canons ; one motet from his book of 52 motets from 1580, in seven voices, has no less than four of the voices entirely derived canonically.

The reason for this has never been canonically established, although Gene Roddenberry's novelization of The Motion Picture states that it was in honor of the Enterprise, which was the only ship of its class to return from its five-year mission with ship and crew mostly intact.

Another observation is that unless the background metric has a global timelike Killing vector, there is no way to define a vacuum or ground state canonically.

To this day, therefore, the London Parish has never been canonically released from the Ecumenical Patriarchate, and in terms of canon law it remains with Moscow only on a de facto basis.

The See of Juneau was canonically erected on June 23, 1951 and has had five bishops.

Although creator Louise Simonson did not initially conceive of the character as being gay or indeed non-heterosexual, canonically, Rictor has had romances with men and women.

* Any Hilbert space H is a Hilbert manifold with a single global chart given by the identity function on H. Moreover, since H is a vector space, the tangent space T < sub > p </ sub > H to H at any point p ∈ H is canonically isomorphic to H itself, and so has a natural inner product, the " same " as the one on H. Thus, H can be given the structure of a Riemannian manifold with metric

The protagonist in all the games is a canonically male resident of Earth who is called upon by Lord British to protect Sosaria and, later, Britannia from a number of dangers.

Specifically, if K / Q is a finite Galois extension then to each ( positive ) prime p which does not ramify in K and to each prime ideal P lying over p in K there is a unique element g of Gal ( K / Q ) satisfying the condition g ( x ) = x < sup > p </ sup > ( mod P ) for all integers x of K. Varying P over p changes g into a conjugate ( and every conjugate of g occurs in this way ), so the conjugacy class of g in the Galois group is canonically associated to p. This is called the Frobenius conjugacy class of p and any element of

The final expression is clarified by introducing the variable canonically conjugate to J, which is called the angle variable θ.

In a particular class of copular sentences, called " inverse copular sentences ", the noun phrase which occurs with the verb phrase plays the role of predicate, occupying the position which is canonically reserved for subjects, and the subject is embedded in the verb phrase ( cf.

A topological vector space that is canonically isomorphic to its bidual is called reflexive space.

Lastly, in 1905, Pope Pius X strictly ordained that " in each and every parish the society commonly called the Confraternity of Christian Doctrine shall be canonically erected ".

It is based on the fact that the vector space can be canonically decomposed into a direct sum of stable subspaces corresponding to the distinct irreducible factors P of the characteristic polynomial ( as stated by the lemme des noyaux ), where the characteristic polynomial of each summand is a power of the corresponding P. These summands can be further decomposed, non-canonically, as a direct sum of cyclic F-modules ( like is done for the Frobenius normal form above ), where the characteristic polynomial of each summand is still a ( generally smaller ) power of P. The primary rational canonical form is a block diagonal matrix corresponding to such a decomposition into cyclic modules, with a particular form called generalized Jordan block in the diagonal blocks, corresponding to a particular choice of a basis for the cyclic modules.

The See of San Juan de Puerto Rico was canonically erected on 8 August 1511 as the Diocese of Puerto Rico on the island of San Juan, as it was then called.

The archdiocese grew out of a missionary territory called the Apostolic Vicariate of England which was canonically erected in 1622.

However, unlike in Carnatic music, Sopanam follows a more uncomplicated plain-note profile ( a technique called Aantolika gamakam ), and is canonically devoid of microtones.

IPv4 addresses are canonically represented in dot-decimal notation, which consists of four decimal numbers, each ranging from 0 to 255, separated by dots, e. g., 172. 16. 254. 1.

From this term is derived the term sedevacantism, which designates a category of dissident Catholics who maintain that there is no canonically and legitimately elected pope, and that there is therefore a Sede Vacante.

He composed a mass, Missa prolationum, in which all the parts are derived canonically from one musical line.

The details of the Tomed Incident are never revealed canonically, but it is referred to by Enterprise-D crew members in the Next Generation episode " The Neutral Zone " as " disastrous "; it resulted in the signing of the Treaty of Algeron, which reaffirmed the Neutral Zone as a no fly zone and prohibited the Federation from developing cloaking technology.

Just as the French king could authorize a royal marriage that would otherwise have been deemed unsuitable, by 1635 it had been established by Louis XIII that the king could also legally void the canonically valid, equal marriage of a French dynast to which he had not given consent ( e. g. Marguerite of Lorraine, Duchess of Orléans ).

This quantity J is canonically conjugate to a variable θ which, by the Hamilton equations of motion changes with time as the gradient of energy with J.

A Papal Bull of 7 March 1885, united Alcalá with ( effectively merging it into ) the diocese of Madrid which includes the civil province of Madrid, suffragan of the archbishopric of Toledo, which was formally speaking not canonically erected before while its foundation dated from the Spanish Concordat of 1851.

In addition to the legal issues associated with traditional fan fiction, some people believe that it tarnishes established media characters to portray them in a way which was never illustrated canonically.

For priests and deacons, initial trial is held by an ecclesiastical court established by the diocese in which the cleric is canonically resident.

Post devised a method of ' auxiliary symbols ' by which he could canonically represent any Post-generative language, and indeed any computable function or set at all.

Furthermore, in this case the structure group of the normal bundles is the circle group ; it follows that the choice of embeddings can be canonically identified with the group of homotopy classes of maps from to the circle, which in turn equals the first integral cohomology group.

In differential geometry, the first fundamental form is the inner product on the tangent space of a surface in three-dimensional Euclidean space which is induced canonically from the dot product of R < sup > 3 </ sup >.

Just as we build differential forms out of exterior powers of the cotangent bundle, we can build exterior powers of the complexified cotangent bundle ( which is canonically isomorphic to the bundle of dual spaces of the complexified tangent bundle ).

This is a special case of the Chebotarev density theorem for the Nth cyclotomic field K. Indeed, the Galois group of K / Q is abelian and can be canonically identified with the group of invertible residue classes mod N. The splitting invariant of a prime p not dividing N is simply its residue class because the number of distinct primes into which p splits is φ ( N )/ m, where m is multiplicative order of p modulo N ; hence by the Chebotarev density theorem, primes are asymptotically uniformly distributed among different residue classes coprime to N.