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:

The converse, however, is not true: there are algebraic numbers which cannot be obtained in this manner.

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

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.

To his Harvard colleague, Josiah Royce, whose philosophic position differed radically from his own, James could write, `` Different as our minds are, yours has nourished mine, as no other social influence ever has, and in converse with you I have always felt that my life was being lived importantly ''.

For example, the converse to the theorem that two right angles are equal angles is the statement that two equal angles must be right angles, and this is clearly not always the case.

The converse of Duverger's Law is not always valid ; two-party politics may emerge even when the plurality vote is not used.

The converse of a transitive relation is always transitive: e. g. knowing that " is a subset of " is transitive and " is a superset of " is its converse, we can conclude that the latter is transitive as well.

For example, most software designed for Microsoft Windows XP does not run on Microsoft Windows 98, although the converse is not always true.

Reversible processes are always quasistatic, but the converse is not always true.

Thus homogeneous materials always undergo flow that is incompressible, but the converse is not true.

The converse is always true.

If a developable surface lies in three-dimensional Euclidean space, and is complete, then it is necessarily ruled, but the converse is not always true.

Loopy is a gentleman wolf who mangled the English language in his bid to converse in a bad French-Canadian accent, and always wore a characteristic tuque knit cap.

A logarithmically convex function f is a convex function since it is the composite of the increasing convex function and the convex function, but the converse is not always true.

The converse is also true: a projective Fano manifold which admits a holomorphic contact structure is always a twistor space, hence quaternion-Kähler geometry with positive Ricci curvature is essentially equivalent to the geometry of holomorphic contact Fano manifolds.

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.

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.

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.