Likewise, it is analogous to the finite intersection property characterization of compactness in topological spaces: a collection of closed sets in a compact space has a non-empty intersection if every finite subcollection has a non-empty intersection.

Likewise a closed shell or closed shell configuration is obtained with a completely filled valence shell.

Likewise, the collection of groups is closed under homomorphic image and under direct product.

Likewise with Southeastern who will divert on the whole East Coastway route if the Hastings Line is closed.

Likewise, the map which sends every differentiable manifold to its cotangent bundle and every smooth map to its pullback is a contravariant functor.

Likewise, the map is a conjugate-linear functional on V.

That is, two objects X and X ′ may map to the same object in D ( which is why the range of a full and faithful functor is not necessarily isomorphic to C ), and two morphisms f: X → Y and f ′: X ′ → Y ′ ( with different domains / codomains ) may map to the same morphism in D. Likewise, a full functor need not be surjective on objects or morphisms.

Likewise, and equally fascinating, is the news that such unlikely synonyms as `` pratakku '', `` sweathruna '', and the tongue-twister `` nnuolapertar-it-vuh-karti-birifw- '' all originated in the same village in Bathar-on-Walli Province and are all used to express sentiments concerning British `` imperialism ''.

Likewise, it is Miss Marple herself who poses as a maid to find out the facts of the case, not a young friend of hers who has made a business of it.

Likewise, there is a formula for combining the covariances of two sets that can be used to parallelize the computation:

Likewise a popular Hindu ritual form of worship of North Malabar in Kerala, India is the Tabuh Rah blood offering to Theyyam gods, despite being forbidden in the Vedic philosophy of sattvic Hinduism, Jainism and Buddhism, Theyyam deities are propitiated through the cock sacrifice where the religious cockfight is a religious exercise of offering blood to the Theyyam gods.

Likewise, the fact that the allomorph does not appear after stem-final is because the earlier clause for the allomorph takes priority ; and the fact that the allomorph does not appear after stem-final voiceless phonemes is because the preceding clause for the takes priority.

Likewise there has been long debate on how perception of beauty in the natural world, especially perception of the human form as beautiful, is supposed to relate to perceiving beauty in art or artefacts.

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, SECAM is used with a variety of 625-line standards.

Likewise, a baserunner can attempt to steal a base, or the batter can choose to swing at an intentional ball ; however, these rarely occur since taking these risks is rarely more beneficial to the offensive team than allowing the walk.

Likewise, bony fish can release the ammonia into the water where it is quickly diluted.

Likewise, the boiling point decreases with decreasing pressure until the triple point is reached.

Likewise, Jeremiah ’ s exclamation “ For I hear the whispering of many: Terror is all around !” ( Jer.

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, as with most collectibles, a coin collection does not produce income until it is sold, and may even incur costs ( for example, the cost of safe deposit box storage ) in the interim.

Likewise, Roger Cohen, in an op-Ed for the New York Times propounded that, " captive minds ... resort to conspiracy theory because it is the ultimate refuge of the powerless.

Likewise, the only difference between ruby and sapphire is the type of impurities present in a corundum crystal.

Likewise, spheres are compact, but a sphere missing a point is not since a sequence of points can tend to the missing point without tending to any point within the space.

Likewise, it is unclear whether prophylactic treatment of chronic infection is beneficial in persons who will undergo immunosuppression ( for example, organ transplant recipients ) or in persons who are already immunosuppressed ( for example, those with HIV infection ).

Likewise, the symbol Δ ( delta ) is used as a prefix for the right-handed propeller twist.

Likewise, " him " is a remnant of both the Old English dative " him " and accusative " hine ", " her " serves for both Old English dative " hire " and accusative " hīe ", etc.

Likewise, tracing — drawing on a thin piece of paper, sometimes designed for that purpose ( tracing paper ), around the outline of preexisting shapes that show through the paper — is also not considered fine art, although it may be part of the draftsman's preparation.

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 >.

Less formally, the equivalence relation ker on X, takes each function f: X → X to its kernel ker f. Likewise, ker ( ker ) is an equivalence relation on X ^ X.

Likewise, he asserts that biological systems require multiple parts working together in order to function.

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, the sine function is Lipschitz continuous because its derivative, the cosine function, is bounded above by 1 in absolute value.

Likewise, there occurred a corresponding rearrangement of the human nature ( Gattungswesen ) and the system of values of the owner-class and of the working-class, which allowed each group of people to accept and to function in the rearranged status quo of production-relations.

Likewise, the other characters ' names function both as regular names and as abstractions illustrating the various factors that are involved in a love affair.

Likewise, the third equation illustrates that the odds of being a case is equivalent to the exponential function of the linear regression equation.

Likewise, firm 2's reaction function q2 = R2 ( q1 ).

Likewise, there is no evidence for any accessory olfactory bulb in adult human beings, and the key genes involved in VNO function in other mammals have pseudogeneized in human beings.

Likewise through isolation of certain channel activities, neurotoxins have provided the ability to improve the original Hodgkin-Huxley model of the neuron in which it was theorized that single generic sodium and potassium channels could account for most nervous tissue function.

Likewise, C-peptide administration in animals that had C-peptide deficiency ( type 1 model ) with nephropathy improves renal function and structure ; it decreases urinary albumin excretion and prevents or decreases diabetes-induced glomerular changes secondary to mesangial matrix expansion.

Likewise, the calibrated airspeed is a function of the compressible impact pressure.

Likewise, businesses and civic buildings require a sufficient number of workers to function properly.

Likewise, a reduction computing a noncomputable function can reduce an undecidable problem to a decidable one.

Likewise, it has been found that the meaning of " courts " in section 133 includes all federal and provincial courts as well as all tribunals that exercise an adjudicative function.

Likewise, you can write data to the network by directly calling a network-write function.

Likewise along any fixed value of frequency the value of the function varies as a complex exponential in time.

Likewise the governor-captain general served in this function in the various audiencias located in the capital of a captaincy general.

Likewise, an edge labeling is a function mapping edges of G to a set of " labels ".

Likewise, in the theory of the firm, the lemma gives a similar formulation for the conditional factor demand for each input factor: the derivative of the cost function c ( w, y ) with respect to the factor price:

Likewise whether Foo. bar () simply retrieves the value of the attribute, or invokes a function