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converse and completeness
A converse to completeness is soundness, the fact that only logically valid formulas are provable in the deductive system.
The converse of the soundness property is the semantic completeness property.
In logic, semantic completeness is the converse of soundness for formal systems.

converse and is
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 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.

converse and fact
Again, converse to popular knowledge, the " shadow " is not the remains or ash of the victim, but in fact it was the area around the shadow, not obscured by the person's silhouette that was lightened by X-rays from the burst, leaving a dark " negative " shadow.
Beethoven used to say ...' They who thoroughly study Clementi, at the same time make themselves acquainted with Mozart and other composers ; but the converse is not the fact.
The converse is not true ; in fact, in a certain sense, the analytic functions are sparse compared to all infinitely differentiable functions.
However, it also shows that the compactness of the product of compact Hausdorff spaces can be proved using ( BPIT ), and in fact the converse also holds.
One reason for the trust he enjoyed from King George was the fact that they could converse in German, which he spoke fluently.
Caution: The converse of Whitehead's problem, namely that every free abelian group is Whitehead, is a well known group-theoretical fact.
In fact, utilizing the holomorphic version of the Poincaré lemma, a partial converse holds true locally.
The two arguments imply there is no difference between the exception and the rule, and in fact fallacious slippery slope arguments often use the converse accident to the contrary as the basis for the argument.
Cardinal electors may not correspond or converse with anyone outside the conclave, by post, radio, telephone or otherwise and eavesdropping is an offense punishable by excommunication latae sententiae — in fact, before the conclave that elected Pope Benedict XVI, the Sistine Chapel was " swept " using the latest electronic devices to detect any hidden " bugs " or surveillance devices ( there were no reports that any were found, but in previous conclaves there were discovered press reporters who had disguised themselves as conclave servants ).
In fact, to compute Tor ( A, B ), one may use a flat resolution of A or B, instead of a projective resolution ( note that a projective resolution is automatically a flat resolution, but the converse isn't true, so allowing flat resolutions is more flexible ).
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.
The converse of this fact is only partially true,
In fact each faithful-module is a faithful representation of G, but the converse does not hold.

converse and only
Even Julian's intellectual friends and fellow pagans were of a divided mind about this habit of talking to his subjects on an equal footing: Ammianus Marcellinus saw in that only the foolish vanity of someone " excessively anxious for empty distinction ", whose " desire for popularity often led him to converse with unworthy persons ".
To pass the evenings, Smith ( whom the nuns call " Schmidt ") helps the sisters improve their rudimentary English ( only Mother Maria speaks the language well enough to converse with him ) and joins them in singing.
If the variables are independent, Pearson's correlation coefficient is 0, but the converse is not true because the correlation coefficient detects only linear dependencies between two variables.
If a frame is based on a symmetric accessibility relation, then the Barcan formula will be valid in the frame if, and only if, the converse Barcan formula is valid in the frame.
: Your letter of yesterday is received & I hasten to answer as fully as I can -- Joseph Smith Jr first come to my notice in the year 1824 in the summer of that year I contracted with his father to build a fence on my property in the corse of that work I approach Joseph & ask how it is in a half day you put up what requires your father & 2 brothers a full day working together he says I have not been with out assistance but can not say more only you better find out the next day I take the older Smith by the arm & he says Joseph can see any thing he wishes by looking at a stone Joseph often sees Spirits here with great kettles of coin money it was Spirits who brought up rock because Joseph made no attempt on their money I latter dream I converse with spirits which let me count their money when I awake I have in my hand a dollar coin which I take for a sign Joseph describes what I seen in every particular says he the spirits are grieved so I through back the dollar in the fall of the year 1827 I hear Joseph found a gold bible I take Joseph aside & he says it is true I found it 4 years ago with my stone but only just got it because of the enchantment the old spirit come to me 3 times in the same dream & says dig up the gold but when I take it up the next morning the spirit transfigured himself from a white salamander in the bottom of the hole & struck me 3 times & held the treasure & would not let me have it because I lay it down to cover over the hole when the spirit says do not lay it down Joseph says when can I have it the spirit says one year from to day if you obay me look to the stone after a few days he looks the spirit says bring your brother Alvin Joseph says he is dead shall I bring what remains but the spirit is gone Joseph goes to get the gold bible but the spirit says you did not bring your brother you can not have it look to the stone Joseph looks but can not see who to bring the spirit says I tricked you again look to the stone Joseph looks & sees his wife on the 22d day of Sept 1827 they get the gold bible -- I give Joseph $ 50 to move him down to Pa Joseph says when you visit me I will give you a sign he gives me some hiroglyphics I take then to Utica Albany & New York in the last place Dr Mitchel gives me an introduction to Professor Anthon says he they are short hand Egyption the same what was used in ancient times bring me the old book & I will translate says I it is made of precious gold & is sealed from view says he I can not read a sealed book -- Joseph found some giant silver specticles with the plates he puts them in an old hat & in the darkness reads the words & in this way it is all translated & written down -- about the middle of June 1829 Joseph takes me together with Oliver Cowdery & David Whitmer to have a view of the plates our names are appended to the book of Mormon which I had printed with my own money -- space and time both prevent me from writing more at present if there is any thing further you wish to inquire I shall attend to it
The converse is true for finitely generated modules over Noetherian rings: a finitely generated module over a commutative noetherian ring is locally free if and only if it is projective.
Upon overhearing that their captors were not sure about the meaning of the empty sheet in the packet, and their intent of torturing her to gain information, Jane decided to pretend amnesia and started to converse in French only.
The converse also holds: for any solenoidal v there exists a vector potential A such that ( Strictly speaking, this holds only subject to certain technical conditions on v, see Helmholtz decomposition.
He not only spoke several languages ( English, Polish, French, and could converse in Russian, Italian & German ) but was learned in jurisprudence and classical studies.
Father kept Toomin alive as an ever refreshing source of creativity, and interfaced with his brain to converse and play games with him — Father was lonely, and Toomin became its only friend.
This program allows someone to converse with demons and store them as digital data on a memory chip, though only those possessing natural talent would be able to use it properly.
When we were ushered in we were greeted by the maharajah with the remark, " It is an honor for you to be here ; ordinarily I converse only with my greyhounds.
He has the ability to resurrect the dead and converse with them, though to do so he must either have the complete corpse or its " essential saltes ," since incomplete bodies only yield incoherent abominations.
During the seven-year initiation period, the young men converse with each other using a secret language and passwords, known only to other Poro members.
A 2006 survey of the Hokkaido Ainu indicated that only 4. 6 % of Ainu surveyed were able to converse in or " speak a little " Ainu.
Throughout the school day, he and his classmates were only permitted to converse in French.
However, the converse is true if X and Y contain only algebraic numbers and their size is at least 2 × 2.
As they converse, the woman mentions that the only thing of Tibor's that she has is his wallet, sent from America.
When Soma continues to converse with him, the man reveals that he has amnesia, and the only thing he remembers is his name starts with " J ".
The converse term to Vamacara is Dakshinachara ( Sanskrit ) ( glossed ' Right-Hand Path ') which is used to refer not only to ' orthodox ' ( Sanskrit: Āstika ) sects but to modes of spirituality that engage in spiritual practices that not only accord with Vedic injunction but are generally agreeable to the status quo.
Here partial converse means that if M sums the series Σ, and some side-condition holds, then Σ was convergent in the first place ; without any side condition such a result would say that M only summed convergent series ( making it useless as a summation method for divergent series ).

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