Specifically, if he / she chooses to determine the path, then he / she has no influence whatsoever over which of the two paths, the left one or the right one, nature will tell him / her is the one in which the particle is found.

Specifically, the table tells the machine to ( ia ) erase or write a symbol or ( ib ) move the head left or right, and then ( ii ) assume the same or a new state as prescribed, but not both actions ( ia ) and ( ib ) in the same instruction.

This can be shown using the concept of left cosets of H in G. The left cosets are the equivalence classes of a certain equivalence relation on G and therefore form a partition of G. Specifically, x and y in G are related if and only if there exists h in H such that x

Specifically, we perceive there to be a group of 36 circles on the left side of the image, and three groups of 12 circles on the right side of the image.

Specifically, an episode filmed around the New Jersey Palisades ended with her literally left hanging over a cliff and seeming about to fall.

Specifically, the whips would only appoint " nodding dogs ", and many clauses would be left both unamended and even undebated.

Specifically, a consequence of the Akizuki – Hopkins – Levitzki theorem is that a left ( right ) Artinian ring is automatically a left ( right ) Noetherian ring.

Specifically, Red Son is Earth-30, and was visited briefly by the Challengers From Beyond in Countdown # 32, where they spotted the Soviet Superman and left immediately.

Specifically, suppose R is a ring, and denote by R-Mod the category of left R-modules and by Mod-R the category of right R-modules ( if R is commutative, the two categories coincide ).

Specifically, writing the infinite series on the left as ζ ( 2n ) he showed

Specifically, exercises that may be prescribed include keeping eyes fixated on a specific target while moving the head, moving to the head right to left at two targets at a significant distance apart, walking while keeping eyes fixated on a specific target, and walking while keeping eyes fixated on a specific target while also turning the head in different directions.

Specifically, the channel differentiation between left and right channels is vastly improved.

Specifically, a function f is periodic with period P if the graph of f is invariant under translation in the x-direction by a distance of P. This definition of periodic can be extended to other geometric shapes and patterns, such as periodic tessellations of the plane.

Specifically, the CPT theorem states that any Lorentz invariant local quantum field theory with a Hermitian Hamiltonian must have CPT symmetry.

Specifically, it is an invariant of an oriented knot or link which assigns to each oriented knot or link a Laurent polynomial in the variable with integer coefficients.

Specifically, linearizability guarantees that the invariants of a system are observed and preserved by all operations: if all operations individually preserve an invariant, the system as a whole will.

Specifically, if L / K is a Galois extension, we consider the group G = Gal ( L / K ) consisting of all field automorphisms of L which keep all elements of K fixed.

Specifically, bit 4 means lowercase extension and bit 3 lowercase basename, which allows for combinations such as "< tt > example. TXT </ tt >" or "< tt > HELLO. txt </ tt >" but not "< tt > Mixed. txt </ tt >".

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

Specifically, the station is underneath Avenue de la Grand Armée, the extension of the Champs-Élysées west of the Arc de Triomphe, at its intersection with Rue d ' Argentine.

Specifically, it implies that as a Galois extension of K, L is uniquely determined by the set of primes of K that split completely in it.

Specifically, when a retrograde urethrogram demonstrates extension of contrast from the proximal bulbous urethra into the perineum, there is an increase of grading of the injury from a Type 2 to a Type 3 classification.

Specifically, his work focused on the pursuit of refinement and purification of Basque and extension of the tongue.

Specifically, they are designed to work against wolves which have been fitted with radio tracking collars prior to being re-released into the wild ( and, by extension, the packs of which they are members ).

Specifically, it is a non-trivial ring in which every non-zero element a has a multiplicative inverse, i. e., an element x with.

The absolute value is defined so as to measure the change in size of a set after multiplying it by an element of K. Specifically, define |·|: K → R by

Specifically, ƒ ( namely multiplication by a ) must map some element x to 1, ax = 1, so that x is an inverse for a.

Specifically, if the individual lifetime of an element of the assembly is the time elapsed between some reference time and the removal of that element from the assembly, the mean lifetime is the arithmetic mean of the individual lifetimes.

) Specifically, one maps an element of H < sup > k </ sup >( M ) to its cap product with a fundamental class of M, which will exist for oriented M.

Specifically, R < sup > 2 </ sup > is an element of and represents the proportion of variability in Y < sub > i </ sub > that may be attributed to some linear combination of the regressors ( explanatory variables ) in X.

Specifically, it returns a reference to an object that represents an element on the page, in the case of an HTML document, or a node, in the case of an XML document.

Specifically, the LINE-1 ( Long interspersed nuclear element ) element in the tumor cells is in a different location than in normal canine DNA.

Specifically, researchers handle analytical or finite element modeling to determine nervous system control of movements and apply these techniques to help patients with brain injuries or disorders.

Specifically chapter four of the ISO / IEC 11179 metadata registry standard covers data element definition quality standards.

Specifically, the model must assign to each constant symbol of L an element of M, and to each n-ary function symbol f of L and each n-tuple < a < sub > 0 </ sub >,..., a < sub > n-1 </ sub >> of elements of M, the model must assign an element of M to the term f ( a < sub > 0 </ sub >,..., a < sub > n-1 </ sub >).

Specifically, if v is a tangent vector of M at a point x ( thought of as a derivation ) then define the directional derivative in the direction v by

( Specifically, v < sub > 3 </ sub > = – 2v < sub > 1 </ sub > + v < sub > 2 </ sub >.

Specifically, Harlan, citing Justice Brandeis ' opinion in Whitney v. California, emphasized that the First Amendment operates to protect the inviolability of the marketplace of ideas imagined by the Founding Fathers.

Specifically, Hammer v. Dagenhart was overruled in 1941 in the case of United States v. Darby Lumber Co.,.

Specifically, Hadamard's inequality states that if N is the matrix having columns v < sub > i </ sub >, then

Specifically, if v is a local section of E, and f is a smooth function, then

Specifically, in the 1989 County of Allegheny v. ACLU case, the majority of the US Supreme Court ruled that the public display of menorot and Christmas trees did not violate the Establishment Clause because the two symbols were not endorsements of the Jewish or Christian faith, rather the two items are part of the same winter-holiday season, which the court found, had attained a secular status in U. S. society.

Specifically, ICC held that regulative powers must be expressly granted by statute and not implied, while NBC v. US, 319 U. S. 190 ( 1943 ), held that the issuance of regulations, though not expressly granted, are an acceptable way for the agency to fulfill its statutory obligations to serve the " public interest, convenience, or necessity.

Specifically, a non-zero column vector v is a right eigenvector of a matrix A if ( and only if ) there exists a number λ such that Av

However, Justice Brewer, speaking for a unanimous Supreme Court in Church of the Holy Trinity v. United States, 143 U. S. 457 ( 1892 ), cited the Presentment Clause as a clear example of why “ no purpose of action against religion can be imputed to any legislation, state or national, because this is a religious people .” Specifically, the Court stated: