Analogously, critics of for-profit HMOs argue that such firms disproportionately insure healthy people, while simultaneously eschewing chronically ill patients, who must then by default be cared for disproportionately by public insurance schemes and non-profit providers — thus a so-called " dumping " of undesirable patients.

" Analogously, fads are started by some persons among the crowd, who, even without realizing it, are a little ahead of the rest.

Analogously, a set in a measure space is said to have a σ-finite measure if it is a countable union of sets with finite measure.

Analogously, it may ( or may not ) be possible to completely state the underlying rules of physics with a finite number of well-defined laws, but there is little doubt that there are questions about the behavior of physical systems which are formally undecidable on the basis of those underlying laws.

Analogously, isometric immersion is an immersion between Riemannian manifolds which preserves the Riemannian metrics.

Analogously, given a path-connected topological space, there is a Galois connection between subgroups of the fundamental group and path-connected covering spaces of.

Analogously, the derivative of sin ( x )/ x < sup > 2 </ sup > ( when x ≠ 0 ) is:

Analogously, Total Acid Number ( TAN ) is the measure of a lubricant's acidity.

Analogously, a non-Euclidean plane is said to be elliptic or hyperbolic according as each of its lines contains no point at infinity or two points at infinity.

Analogously for intelligible objects The Form of the Good is necessary in order to understand any particular thing.

Analogously, the first law of thermodynamics is a statement of energy conservation, which contains on its right hand side the term T dS.

Analogously, the term " designate " ( e. g. Prime Minister-designate ) is used in systems without direct elections of executive politicians, such as in parliamentary systems.

Analogously, the first Chern class classifies smooth complex line bundles on a space, and the group of line bundles is isomorphic to the second cohomology class with integer coefficients.

Analogously, a person before decision has reasons without fixed weights: he is in a superposition of weights.

Analogously the name is used on several areas to show relations between groups or elements.

* Analogously, the Hamiltonian is invariant under addition of the partial time derivative of any function of q, p and t, that is:

Analogously, an x-intercept is a point where the graph of a function or relation intersects with the x-axis.

Addition () is the most basic operation, multiplication () is also a primary operation, though for natural numbers it can be thought of as a chained addition involving n numbers a, and exponentiation () can be thought of as a chained multiplication involving n numbers a. Analogously, tetration () can be thought of as a chained power involving n numbers a.

Analogously, the values of m < sub > s </ sub > range from − s to s, where s is the spin quantum number, an intrinsic property of particles:

Analogously, illegitimacy ( or bastardy ) is the status of a child conceived outside of marriage, though the consequences of that definition were ameliorated by legislation.

Analogously an operator A on functions is said to be translation invariant with respect to a translation operator if the result after applying A doesn't change if the argument function is translated.

Analogously, the second law of thermodynamics states that the change in entropy an isolated system will be greater than or equal to 0 for a spontaneous process, suggesting a link between entropy and the area of a black hole horizon.

Analogously, prime polynomials ( more correctly, irreducible polynomials ) can be defined as polynomials which cannot be factorized into the product of two non constant polynomials.

Analogously to similar results for the more well-known complexity class NP, this transformation together with the Immerman-Szelepcsényi theorem allow any problem in NL to be represented as a second order logic formula with a single existentially quantified predicate with clauses limited to length 2 ; such formulae are known as SO-Krom.

Analogously, it's possible to have any form of " current density ", meaning the flow of a quantity per unit time per unit area, see current density for more on this quantity.

Analogously, the model produced by SVR depends only on a subset of the training data, because the cost function for building the model ignores any training data close to the model prediction ( within a threshold ).

Analogously, the " partition coefficient " -- a measurement of differential solubility and itself a component of SAR predictions -- can be predicted either by atomic methods ( known as " XLogP " or " ALogP ") or by chemical fragment methods ( known as " CLogP " and other variations ).

Analogously to the Riemann zeta function, the values of the Dedekind zeta function at integers encode ( at least conjecturally ) important arithmetic data of the field K. For example, the analytic class number formula relates the residue at s = 1 to the class number h ( K ) of K, the regulator R ( K ) of K, the number w ( K ) of roots of unity in K, the absolute discriminant of K, and the number of real and complex places of K. Another example is at s = 0 where it has a zero whose order r is equal to the rank of the unit group of O < sub > K </ sub > and the leading term is given by

Analogously, the theoretical superior limit for the money held by public is defined by the following series:

Analogously, expressions involving gases can be adjusted for non-ideality by scaling partial pressures by a fugacity coefficient.

Analogously to the unitary case, Steinberg constructed families of groups by taking fixed points of a product of a diagram and a field automorphism.

Analogously to the finite-dimensional situation, one can define a differentiable Hilbert manifold by considering a maximal atlas in which the transition maps are differentiable.

Analogously, the Web Services Description Language ( WSDL ) typically describes the services themselves, while the SOAP protocol describes the communications protocols.

Analogously, Rajah Ache was also referred to as Rajah Matanda ( Old Rajah ), while Rajah Sulayman was sometimes referred to as Rajah Muda or Rajamora ( Young Rajah ).

Analogously, we can define QL, RQ, and LQ decompositions, with L being a lower triangular matrix.

Analogously, the maximal pressure where a stable SWP can be operated decreases with increasing diameter.

Analogously, one can define Lie algebra homology as

Analogously let a < sub > n </ sub >, b < sub > n </ sub > be in R, 0 ≤ n ≤ N and a < sub > N </ sub > ≠ 0 or b < sub > N </ sub > ≠ 0 then

( Analogously with, given the classical dichotomy, may be factored into a product.

Analogously to the symbol mentioned above, Oxford University Press have devised the non-IPA symbol to represent a vowel which may be either / ʊ / or / ə /, the two being in free variation .. For example awful may be pronounced or.

Analogously, the producer compares marginal revenue ( identical to price for the perfect competitor ) against the marginal cost of a good, with marginal profit the difference.

Analogously, the reaction of disulfides with organolithium reagents produces thioethers:

Analogously, a repeater or PSTN modem ( with serial interface ) is a physical network node but not a LAN node in this sense.

Analogously, driving a reaction of gas with a liquid is usually difficult, since the gas bubbles off.

Analogously with the bisection method, the algorithm is then applied recursively to any quarter whose boundary has nonzero winding number to further refine the estimates of the zeros.