* De Finetti's game – a procedure for evaluating someone's subjective probability

* De Finetti's theorem

De Finetti is also noted for de Finetti's theorem on exchangeable sequences of random variables.

* De Finetti's theorem

De Finetti's views are discussed in Section 3. 5 of this article.

De Finetti's theorem states that the probability distribution of any infinite exchangeable sequence of Bernoulli random variables is a " mixture " of the probability distributions of independent and identically distributed sequences of Bernoulli random variables.

* De Rham – Weil theorem

To prove this, one can combine a proof of the theorem for finite planar graphs with the De Bruijn – Erdős theorem stating that, if every finite subgraph of an infinite graph is k-colorable, then the whole graph is also k-colorable.

De Broglie – Bohm theory highlighted the issue of nonlocality: it inspired John Stewart Bell to prove his now-famous theorem, which in turn led to the Bell test experiments.

In mathematics, de Moivre's formula ( a. k. a. De Moivre's theorem and De Moivre's identity ), named after Abraham de Moivre, states that for any complex number ( and, in particular, for any real number ) x and integer n it holds that

De Morgan's theorem may be applied to the negation of a disjunction or the negation of a conjunction in all or part of a formula.

The application of De Morgan's theorem to a conjunction is very similar to its application to a disjunction both in form and rationale.

They also include statements less obviously related to compactness, such as the De Bruijn – Erdős theorem stating that every minimal k-chromatic graph is finite, and the Curtis – Hedlund – Lyndon theorem providing a topological characterization of cellular automata.

He published this new theorem in De lineis rectis.

The theorem is often attributed to Giovanni Ceva, who published it in his 1678 work De lineis rectis.

In 1931, Georges de Rham related homology and exterior differential forms, proving De Rham's theorem.

In a deeper way, this theorem relates the topology of the domain of integration to the structure of the differential forms themselves ; the precise connection is known as De Rham's theorem.

De Morgan's laws -- Deduction theorem -- Deductive reasoning -- Degree of truth -- Denying the antecedent -- Deviant logic -- Disjunction elimination -- Disjunction introduction -- Disjunctive normal form -- Disjunctive syllogism -- Double negative -- Double negative elimination

** De Morgan's laws ( or De Morgan's theorem ), a set of rules from propositional logic.

* G is finite ( this is the De Bruijn – Erdős theorem of ).

Therefore, by the De Bruijn – Erdős theorem, P itself also has a w-colorable incomparability graph, and thus has the desired partition into chains.

John Jay Parry, the editor of De Amore, quotes critic Robert Bossuat as describing " De Amore " as " one of those capital works which reflect the thought of a great epoch, which explains the secret of a civilization ".

In his treatise De pictura ( 1435 ) he explains the theory, of the accumulation of people, animals, and buildings, which create harmony amongst each other, and " hold the eye of the learned and unlearned spectator for a long while with a certain sense of pleasure and emotion ".

In his paper " De la baguette ", Chevreul explains how human muscular reactions, totally involuntary and subconscious, are responsible for seemingly magical movements.

He explains the source and the pronunciation () of his family surname, which is of English origin, in his web show Show De Ruben Blades ( SDRB ).

* Ruđer Bošković publishes De Viribus Vivis in which he tries to find a middle way between Newton's gravitational theory and Leibniz's monadology, developing a concept of " impenetrability " as a property of hard bodies which explains their behavior in terms of force rather than matter.

The early thirteenth century author of De Situ Albanie explains that " the name Arregathel means margin ( ie, border region ) of the Scots or Irish, because all Scots and Irish are generally called Gattheli ( i. e. Gaels ), from their ancient warleader known as Gaithelglas.

De Flores explains in meticulous detail exactly why she has to submit to him, mainly that he can now effectively blackmail her or else he will inform everyone how she hired him to murder Alonzo.

She confesses that she employed De Flores to murder Alonzo, but explains that she did it out of love for Alsemero, because her first motive was to remove Alonzo so that she and Alsemero could be together.

The sandy beach stretches from 250 to 700 m at ebb-tide and extends over 30 km, via De Panne to the beach of Dunkirk ( France ), which explains why Oostduinkerke is popular with sand yachters and parakarters.

Cicero published a dialogue called De Oratore, in which Strabo explains why humor is important in speech.

Deborah Howard explains how the idea was probably derived by Codussi from Alberti's work ' De re aedificatoria ' (" About Building "), published earlier in the 15th century, where he emphasises the importance of towers to a city and the appropriateness of a monumental archway as the entrance to its principal street.

The working principle of a yupana is unknown, but in 2001 an explanation of the mathematical basis of these instruments was proposed by Italian mathematician Nicolino De Pasquale.

Its unconventional unfolding of plot ( exemplified in its mathematical layout of dialogue ) and its stress on perception have analogs in De Palma's filmmaking.

It is widely accepted that Copernicus's De revolutionibus followed the outline and method set by Ptolemy in his Almagest and employed geometrical constructions that had been developed previously by the Maragheh school in his heliocentric model, and that Galileo's mathematical treatment of acceleration and his concept of impetus rejected earlier medieval analyses of motion, rejecting by name ; Averroes, Avempace, Jean Buridan, and John Philoponus ( see Theory of impetus ).

In logic, Ockham wrote down in words the formulae that would later be called De Morgan's Laws, and he pondered ternary logic, that is, a logical system with three truth values ; a concept that would be taken up again in the mathematical logic of the 19th and 20th centuries.

Think what must have been the effect of the intense Hinduizing of three such men as Babbage, De Morgan, and George Boole on the mathematical atmosphere of 1830-1865.

The De Bruijn – Newman constant, denoted by Λ and named after Nicolaas Govert de Bruijn and Charles M. Newman, is a mathematical constant defined via the zeros of a certain function H ( λ, z ), where λ is a real parameter and z is a complex variable.

The contents of ' De motu ...' so excited Halley by their mathematical and physical originality and far-reaching implications for astronomical theory, that he immediately went to visit Newton again, in November 1684, to ask Newton to let the Royal Society have more of such work.

It is not known just why Newton changed his mind so radically about the final form of what had been a readable narrative in ' De motu corporum, Liber secundus ' of 1685, but he largely started afresh in a new, tighter, and less accessible mathematical style, eventually to produce Book 3 of the ' Principia ' as we know it.

Although mathematics was not part of his course work, de Moivre read several mathematical works on his own including Elements de mathematiques by Father Prestet and a short treatise on games of chance, De Ratiociniis in Ludo Aleae, by Christiaan Huygens.

De Morgan's laws are an example of a more general concept of mathematical duality.

De Branges's proof of the Bieberbach conjecture was not initially accepted by the mathematical community.

* mathematical and astronomical De mensura, De utilitatibus astrolabii, De compositione et usu astrolabii ( before 1143 – Herman was certainly interested in the Astrolabe – the portrait shows Herman with one )

Finally, Ceva wrote De Re Nummeraria in 1711, which was one of the first books in mathematical economics.

His works on mathematical and astronomical subjects also include Monalosphaerium ( 1526 ), and De proportionibus ( 1528 ).

At the time of its publication, De revolutionibus passed with relatively little comment: little more than a mathematical convenience that simplified astronomical references for a more accurate calendar.

Most of his mathematical ideas can be found in his essays, De Docta Ignorantia ( Of Learned Ignorance ), De Visione Dei ( On the Vision of God ) and On Conjectures.

* De Sitter space for more mathematical properties

* Augustus De Morgan introduces the term ' mathematical induction '.

He is a major figure in the history of mathematical logic ( a term he may have invented ), by virtue of summarizing and extending the work of George Boole, Augustus De Morgan, Hugh MacColl, and especially Charles Peirce.

* Giovanni Ceva publishes De Re Nummeraria ( Concerning Money Matters ), one of the first books on mathematical economics.

In the mathematical field of numerical analysis, De Casteljau's algorithm is a recursive method to evaluate polynomials in Bernstein form or Bézier curves, named after its inventor Paul de Casteljau.