Conversely, the county lies entirely within New Jersey's 1st Legislative District, which is currently represented by Senator Jeff Van Drew and Assemblymen Nelson T. Albano and Matthew W. Milam, all Democrats.

Conversely, if the holonomy group of the Riemannian manifold M is contained in Sp ( k ), choose complex structures I < sub > x </ sub >, J < sub > x </ sub > and K < sub > x </ sub > on T < sub > x </ sub > M which make T < sub > x </ sub > M into a quaternionic vector space.

Conversely, since the existence of T < sup >∗∗</ sup > implies that that of T < sup >∗</ sup >, which in turn implies T is densely defined.

Conversely, aerobic degradation can decrease A < sub > T </ sub >.

Conversely, some elements do not maintain distinct allotropes in different phases – for example phosphorus has numerous solid allotropes, which all revert to the same P < sub > 4 </ sub > form when melted to the liquid state.

Conversely, if ƒ: C → C is a function which is differentiable when regarded as a function on R < sup > 2 </ sup >, then ƒ is complex differentiable if and only if the Cauchy – Riemann equations hold.

Conversely, if the measured potential is negative, the electrode is more oxidizing than the SHE ( such as Zn in ZnSO < sub > 4 </ sub > where the standard electrode potential is − 0. 76 V ).

Conversely, if the data are sparse — that is, if only K out of N Fourier coefficients are nonzero — then the complexity can be reduced to O ( K log N log ( N / K )), and this has been demonstrated to lead to practical speedups compared to an ordinary FFT for N / K > 32 in a large-N example ( N = 2 < sup > 22 </ sup >) using a probabilistic approximate algorithm ( which estimates the largest K coefficients to several decimal places ).

Conversely, when one wants to compute an arbitrary number ( N ) of discrete samples of one cycle of a continuous DTFT, it can be done by computing the relatively simple DFT of s < sub > N </ sub >, as defined above.

Conversely, given a groupoid G in the algebraic sense, let G < sub > 0 </ sub > be the set of all elements of the form x * x < sup >− 1 </ sup > with x varying through G and define G ( x * x < sup >-1 </ sup >, y * y < sup >-1 </ sup >) as the set of all elements f such that y * y < sup >-1 </ sup > * f * x * x < sup >-1 </ sup > exists.

Conversely, a high pH, low CO < sub > 2 </ sub >, or low 2, 3 BPG favors the relaxed form which can better bind oxygen.

Conversely, given central idempotents a < sub > 1 </ sub >,..., a < sub > n </ sub > in R that are pairwise orthogonal and have sum 1, then R is the direct sum of the rings Ra < sub > 1 </ sub >,…, Ra < sub > n </ sub >.

Conversely we have a b if and only if a < b or a ~ b. This is the reason for using the notation ""; "≤" can be confusing for a preorder that is not anti-symmetric, it may suggest that a ≤ b implies that a < b or a

Conversely, if dφ < sub > x </ sub > is an isomorphism then there is an open neighborhood U of x such that φ maps U diffeomorphically onto its image.

Conversely every positive functional φ gives a corresponding inner product < ƒ, g >< sub > φ </ sub > = φ ( g * ƒ ).

Conversely, if M is positive definite, it has an eigendecomposition P < sup >− 1 </ sup > DP where P is unitary, D diagonal, and all diagonal elements of D are real and positive.

Conversely, any Hermitian positive semidefinite matrix M can be written as M = A < sup >*</ sup > A ; this is the Cholesky decomposition.

Conversely, to switch off a p-channel device requires V < sub > GS </ sub > positive.

Conversely, any choice of μ, full rank matrix U, and positive diagonal entries Λ < sub > i </ sub > yields a non-singular multivariate normal distribution.

Conversely, for the previous range from 2 < sup > 51 </ sub > to 2 < sup > 52 </ sub >, the spacing is 0. 5, etc.

Given a field ordering ≤ as in Def 1, the elements such that x ≥ 0 forms a positive cone of F. Conversely, given a positive cone P of F as in Def 2, one can associate a total ordering ≤< sub > P </ sub > by setting x ≤ y to mean y − x ∈ P. This total ordering ≤< sub > P </ sub > satisfies the properties of Def 1.

Conversely, the interior of the box has a constant, zero potential energy .< ref > Actually, any constant, finite potential can be specified within the box.

for all compactly supported functions ƒ and h. Conversely, () characterizes Δ completely, in the sense that it is the only operator with this property.

Conversely, given a pair of symmetric 2-forms h and k, the Kulkarni – Nomizu product of h and k

) Conversely, if B satisfies both of the conditions 1 and 2, then there is a unique topology on X for which B is a base ; it is called the topology generated by B.

Conversely, except in dimension 2, if the curvature of a Riemannian manifold has this form for some function K, then the Bianchi identities imply that K is constant and thus that the manifold is ( locally ) a space form.

Conversely, a square flat plate of area 1 m < sup > 2 </ sup > will have an RCS of < span style =" white-space: nowrap "> σ

for some real-valued functions a and b depending, respectively, on x and y. Conversely, given any such pair of real-valued functions, there exists a vector field X satisfying 1. and 2.

Conversely, a function u: E < sub > 1 </ sub > → E < sub > 2 </ sub > defined on a basis of E < sub > 1 </ sub > can be uniquely extended to a linear function.

Conversely, when the population is large the value of approaches 1 effectively reducing the terms inside the brackets of equation 1. 2 to zero.

which are linearly independent at each point q in U. Conversely, given such a coframe, there is a unique moving frame X < sub > 1 </ sub >, X < sub > 2 </ sub >, ..., X < sub > n </ sub > which is dual to it, i. e., satisfies the duality relation α < sup > i </ sup >( X < sub > j </ sub >) = δ < sup > i </ sup >< sub > j </ sub >, where δ < sup > i </ sup >< sub > j </ sub > is the Kronecker delta function on U.

If f is flat, then .< ref > EGA IV < sub > 2 </ sub >, Corollaire 6. 1. 2 .</ ref > Conversely, if this equality holds for all x, X is Cohen-Macaulay, and Y is regular, then f is flat .< ref > EGA IV < sub > 2 </ sub >, Proposition 6. 1. 5.

If X is reduced or normal at x, then Y is reduced or normal, respectively, at f ( x ).< ref > EGA IV < sub > 2 </ sub >, Proposition 2. 1. 13 .</ ref > Conversely, if f is also of finite presentation and f < sup >− 1 </ sup >( y ) is reduced or normal, respectively, at x, then X is reduced or normal, respectively, at x .< ref > EGA IV < sub > 3 </ sub >, Proposition 11. 3. 13 .</ ref >

Conversely, if Y is regular at f ( x ) and f < sup >− 1 </ sup >( f ( x )) is regular at x, then X is regular at x .< ref > EGA IV < sub > 2 </ sub >, Corollaire 6. 5. 2 .</ ref >

Conversely, if Y is normal at f ( x ) and f < sup >− 1 </ sup >( f ( x )) is normal at x, then X is normal at x .< ref > EGA IV < sub > 2 </ sub >, Corollaire 6. 5. 4 .</ ref >

Conversely, TxA < sub > 2 </ sub > from platelets maintain vascular homeostasis by irreversible platelet aggregating, vasoconstricting, and smooth muscle proliferating properties.

Conversely, numerous mitochondria are found in human liver cells, with about 1000 – 2000 mitochondria per cell, making up 1 / 5 of the cell volume.

Conversely, the Burrows ' bare cell reeks of oppression and hostility.

Conversely, membranes are not permeable to potassium, so this ion must be actively pumped into the cell.

* Conversely, an input into a special transmission-state cell from an ordinary-transmission state cell will result in the special-transmission state cell being reduced back to the ground state.

Conversely, under other circumstances CD34 has been shown to act as molecular " Teflon " and block mast cell adhesion, or to facilitate opening of vascular lumens.