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Page "Square-free integer" ¶ 25
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Likewise and if
Likewise, the left bead of the thousands wire ( and the million wire, if present ) may have a different color.
Likewise, if the skill is being used in a commercial or industrial way it may be considered design instead of art, or contrariwise these may be defended as art forms, perhaps called applied art.
Likewise, a continuous-time filter is minimum-phase if the zeros of its transfer function fall in the left half of the complex s-plane.
Likewise, Canadian Psychiatric Association ( CPA ) recommends benzodiazepines alprazolam, bromazepam, lorazepam, and diazepam only as a second-line choice, if the treatment with two different antidepressants was unsuccessful.
Likewise, if a substance can form crystals, it can also form polycrystals.
Likewise, a design may be a simple repetition ( copy ) of a known preexisting solution, requiring minimal, if any, creativity or problem-solving skills from the designer.
) Likewise, if a star is circumpolar for an observer at latitude, then it never rises above the horizon as seen by an observer at latitude −.
Likewise, if he / she chooses to observe the interference pattern, then he / she has no influence whatsoever over where in the observation plane he / she will observe a specific particle.
Likewise, nations that violate international arms control agreements, even if claiming to be acting within the scope of their national sovereignty, may find themselves with a range of penalties or sanctions regarding firearms placed on them by other nations.
Likewise, if the clock starts at 12: 00 ( noon ) and 21 hours elapse, then the time will be 9: 00 the next day, rather than 33: 00.
Likewise Mach caused problems when memory had been moved by the operating system, another task that only really makes sense if the system has more than one address space.
Likewise if John says he has a flush, but in fact he does not, his hand is judged on its actual merits, not his verbal declaration.
Likewise, if 320 kilometers is travelled in 4 hours, 80 km / h is also traveled.
If the positive axis is also directed rightward, then F is represented by the vector 15 N, and if positive points leftward, then the vector for F is − 15 N. In either case, the magnitude of the vector is 15 N. Likewise, the vector representation of a displacement Δs of 4 meters to the right would be 4 m or − 4 m, and its magnitude would be 4 m regardless.
Likewise, if the hydrogen is heated during collection, thermal radiation will represent an energy loss, and hence also drag ; so an effective scoop must collect and compress the hydrogen without significant heating.
Likewise, if a is any element of G, then left or right multiplication by a yields a homeomorphism G → G.
Likewise in French, many final consonants become no longer silent if followed by a word that begins with a vowel, an effect called liaison.
Likewise, a group of players are in Nash equilibrium if each one is making the best decision that he or she can, taking into account the decisions of the others.
Likewise, seeing no reason to stay in the mortal realm if peers are to be recruited from persons of intelligence, the peers agree to join the fairy ranks.
Likewise, if the ETF starts the trading session higher by $ 1. 12, then that would signal an approximate gain for the Dow of 112 points at the open, even if some components begin trading at 9: 31 am or 9: 33 am due to a delay.
Likewise, a function is called monotonically decreasing ( also decreasing, or non-increasing ) if, whenever x ≤ y, then f ( x ) ≥ f ( y ), so it reverses the order ( see Figure 2 ).
Likewise, if a person has a claim right against someone else, then that other person's liberty is limited.
Likewise Country A, a perfectly state capitalist country with a planned economy with very low average per capita income would receive a higher score for having lower income inequality than Country B with a higher income inequality, even if the bottom of Country B's population distribution had a higher per capita income than Country A.

Likewise and Q
Likewise, the Q ♠ will fill his ace-high straight, but will also make it possible for an opponent to have a spade flush.
Likewise, if more than one root is known, a linear factor ( x – r ) in one of them ( r ) can be divided out to obtain Q ( x ), and then a linear term in another root, s, can be divided out of Q ( x ), etc.

Likewise and x
Likewise, ( x, − y ) are the coordinates of its reflection across the first coordinate axis ( the X axis ).
Likewise, a variable y is logarithmically proportional to a variable x, if y is directly proportional to the logarithm of x, that is if there exist non-zero constants k and a
Likewise, the question of whether " y is in f ( x )" cannot actually be physically computed.
Likewise, a 3-form f ( x, y, z ) dx ∧ dy ∧ dz represents something that can be integrated over a region of space.
Likewise, a loop in X is one that is based at x < sub > 0 </ sub >.
Likewise, if x is greater than x_center, we know that all intervals in S_center must begin before x, so we find those intervals that end after x using the list sorted by interval endings.

Likewise and n
Likewise, the problem of computing a quantity on a manifold which is invariant under differentiable mappings is inherently global, since any local invariant will be trivial in the sense that it is already exhibited in the topology of R < sup > n </ sup >.
Likewise in 1990 Stonehill teamed up with Daniel Amos once again for an " Amos n ' Randy " reunion concert at Cornerstone 90.
Likewise, O ( n ) has covering groups, the pin groups, Pin ( n ).
Likewise, " coxswain " ( pronounced cox ' n ), " cox " and " helmsman " are terms originally used in the British navy ( like boatswain pronounced bosun ) to refer to the person in charge of a small boat and this person was not necessarily the sweep or person at the rear steering the boat.
Likewise, if one knows a note a and the number n of cents in the interval from a to b, then b may be calculated by:
Likewise, S < sup > 2n + 1 </ sup > is a principal U ( 1 )- bundle over complex projective space CP < sup > n </ sup > and S < sup > 4n + 3 </ sup > is a principal Sp ( 1 )- bundle over quaternionic projective space HP < sup > n </ sup >.
Likewise, holes near the p – n interface begin to diffuse into the n-type region, leaving fixed ions ( acceptors ) with negative charge.
Likewise one can define the complex Stiefel manifold V < sub > k </ sub >( C < sup > n </ sup >) of orthonormal k-frames in C < sup > n </ sup > and the quaternionic Stiefel manifold V < sub > k </ sub >( H < sup > n </ sup >) of orthonormal k-frames in H < sup > n </ sup >.
Likewise the unitary group U ( n ) acts transitively on V < sub > k </ sub >( C < sup > n </ sup >) with stabilizer subgroup U ( n − k ) and the symplectic group Sp ( n ) acts transitively on V < sub > k </ sub >( H < sup > n </ sup >) with stabilizer subgroup Sp ( n − k ).
Any subgraph P in node n may be copied into any node depending on n. Likewise, any subgraph P in node n may be erased if there exists a copy of P in some node ancestral to n ( i. e., some node on which n depends ).

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