The converse is not true however: there are infinite extensions which are algebraic.

On the converse, however, for a fixed level of HDL, the risk increases 3-fold as LDL varies from low to high.

The Curies, however, did not predict the converse piezoelectric effect.

A non-vanishing p-minor ( p × p submatrix with non-vanishing determinant ) shows that the rows and columns of that submatrix are linearly independent, and thus those rows and columns of the full matrix are linearly independent ( in the full matrix ), so the row and column rank are at least as large as the determinantal rank ; however, the converse is less straightforward.

Note, however, that the converse is not true in general, i. e. zero skewness does not imply that the mean is equal to the median.

If an identically distributed sequence is independent, then the sequence is exchangeable ; however, the converse is false --- there exist exchangeable random variables that are statistically dependent, for example the Polya urn model.

The converse, however, is not true, in contrast to the situation in alternative algebras.

The converse, however, is not true.

The converse however is not true in general: two matrices with the same characteristic polynomial need not be similar.

The converse, however, is not in general true ; closed forms need not be exact.

* An n-by-n matrix A is diagonalizable over the field F if it has n distinct eigenvalues in F, i. e. if its characteristic polynomial has n distinct roots in F ; however, the converse may be false.

The converse, however, is not true.

The converse, however, is not true ; for example, the space of rationals, with the usual topology, is σ-compact but not hemicompact.

The converse however is not true in general, but holds for graph with maximum degree not greater than three.

* The sublevel sets of a convex function are convex ( the converse is however not generally true ).

Note however that the converse is not true in general: Λ < sub > f </ sub > may be zero even if f has fixed points.

These impressions, in turn, were compounded by a tendency in Sweden to emphasize the danger of Nazi expansionism and to view the Soviet Union with a great deal of good will: in Finland, however, the converse view was dominant.

In fact, if the ratio test works ( meaning that the limit exists and is not equal to 1 ) then so does the root test ; the converse, however, is not true.

AKT activation is associated with many malignancies, however, a research group from Massachusetts General Hospital and Harvard University unexpectedly observed a converse role for AKT and one of its downstream effector FOXOs in acute myeloid leukemia ( AML ).

Anderson, however, insisted that continual improvement of the soil was possible and that the productivity of the least fertile soil could rise to a point that brought it much closer to that of the most fertile land ; but also that the converse was true and humans could degrade the soil.

The converse does not hold ; however, if every game in a given adequate pointclass Γ is determined, then every set in Γ has the property of Baire.

Racial discrimination is wrong, then, not because it goes against the grain of a faculty member trying to converse with a few realtors but because it goes against the grain of creation and against the will of the Creator.

Affirming the consequent, sometimes called converse error, is a formal fallacy, committed by reasoning in the form:

image: Goelbench06390140. JPG | The unique shape of the serpentine bench enables the people sitting on it to converse privately, although the square is large.

The converse holds so long as the characteristic of the base field is not 2.

The converse is not always true ; not every Banach space is a Hilbert space.

Biconditional introduction is the converse of biconditional elimination.

In fact, the converse is also true ; being a Tychonoff space is both necessary and sufficient for possessing a Hausdorff compactification.

If we consider the thesis and its converse as definition, then the hypothesis is an hypothesis about the application of the mathematical theory developed from the definition.

The converse to this observation is that every recurring decimal represents a rational number p / q.

While every computable number is definable, the converse is not true: the numeric representations of the Halting problem, Chaitin's constant, the truth set of first order arithmetic, and 0 < sup >#</ sup > are examples of numbers that are definable but not computable.

The inductor's behaviour is in some regards converse to that of the capacitor: it will freely allow an unchanging current, but opposes a rapidly changing one.

We will now show that the nontrivial converse is also true.

A converse to completeness is soundness, the fact that only logically valid formulas are provable in the deductive system.

A converse to completeness is soundness, the fact that only logically valid formulas are provable in the deductive system.

A good randomizing function is ( barring computational efficiency concerns ) generally a good choice as a hash function, but the converse need not be true.

If continuity is not a given, the converse is not necessarily true.

A simple converse is that if u and v have continuous first partial derivatives and satisfy the Cauchy – Riemann equations, then ƒ is holomorphic.

A more satisfying converse, which is much harder to prove, is the Looman – Menchoff theorem: if ƒ is continuous, u and v have first partial derivatives ( but not necessarily continuous ), and they satisfy the Cauchy – Riemann equations, then ƒ is holomorphic.

They are the inferences that if A is true, then not not-A is true and its converse, that, if not not-A is true, then A is true.

If R is an integral domain and f and g are polynomials in R, it is said that f divides g or f is a divisor of g if there exists a polynomial q in R such that f q = g. One can show that every zero gives rise to a linear divisor, or more formally, if f is a polynomial in R and r is an element of R such that f ( r ) = 0, then the polynomial ( X − r ) divides f. The converse is also true.

The converse is not true: most directed graphs are neither reflexive nor transitive.

( The converse is also true ; that is, if A is a PID, then A is a field.

All Euclidean domains are principal ideal domains, but the converse is not true.

If A < sub > i </ sub > in R < sub > i </ sub > is an ideal for each i in I, then A = Π < sub > i in I </ sub > A < sub > i </ sub > is an ideal of R. If I is finite, then the converse is true, i. e. every ideal of R is of this form.

However, the converse is not true when I is infinite.

Every simple module is indecomposable, but the converse is in general not true.

The converse of Schur's lemma is not true in general.

The converse is also true.

The converse is not true: not all irrational numbers are transcendental, e. g. the square root of 2 is irrational but not a transcendental number, since it is a solution of the polynomial equation x < sup > 2 </ sup > − 2

The converse is also true: every completely regular space is uniformisable.

The converse is true for positive deviations.