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ppt
ppt

... the highest probability of inducing a transient. 1- higher mobility of electron 2- location of transistor The failure rate values in the table are rounded values based on critical charge simulations using models calibrated with data from alpha and neutron SER measurements on memories. ...
Document
Document

... (y)[P(x)  Q(x,y)]  [P(x)  (y)Q(x,y)] Using the deduction method, we can derive (y)[P(x)  Q(x,y)] Λ P(x)  (y)Q(x,y) Proof sequence: ...
De Jongh`s characterization of intuitionistic propositional calculus
De Jongh`s characterization of intuitionistic propositional calculus

... Moreover, it can be shown that for every point w in T (n), there exists a point v ∈ U (n) such that wRv. In other words, universal models are “upper parts” of Henkin models. As we saw in Corollary 2.2, the n-universal model of IPC carries all the information about the formulas in n-variables. Unfort ...
Definability properties and the congruence closure
Definability properties and the congruence closure

... the uniform reduction property for quotients. As a consequence, none of these logics satisfies either A-interpolation or Beth's definability theorem when closed under relativizations. We also show the failure of both properties for any sublogic of L~o~(Th) in which Chang's quantifier or some cardina ...
071 Embeddings
071 Embeddings

... it stands because this disjunction gives the 0 of the lattice. We must treat each member of the list ...
Logical Prior Probability - Institute for Creative Technologies
Logical Prior Probability - Institute for Creative Technologies

... chance to terminating the digit string. We define G(S1 , S2 , ..., Sn ) = ⇧i=1 G(Si ). A theory is a set of sentences in L. To generate a random theory, we generate a sequence of sentences S1 , S2 , S3 , ... according to the following process. For each Sn , use sentences from G, but discarding those ...
e Stability of the wobbling motion in an odd
e Stability of the wobbling motion in an odd

8 predicate logic
8 predicate logic

... can be represented as As ⊃ Ap; the proposition “Socrates is altruistic but Plato is not” can be represented as As · ~Ap, and so on. Representing quantified propositions in predicate logic requires a little more symbolic apparatus. First, we require the idea of an individual variable. We shall alloca ...
A short history of fractal-Cantorian space-time
A short history of fractal-Cantorian space-time

... to space-time. Kaluza and later on Klein added one more dimension to the classical four in order to unify general relativity and electromagnetism. This extra fifth dimension was supposed to be rolled up in a tiny pipe with a radius of the order of magnitude of 1033 cm. The dimensionality of space-ti ...
Microwave study of quantum n
Microwave study of quantum n

Progress In N=2 Field Theory - Rutgers Physics
Progress In N=2 Field Theory - Rutgers Physics

... The first wall-crossing formula was found by Cecotti & Vafa in the context of d=2 N = (2,2) QFT’s in 1992 The first quantitative WCF (“semiprimitive”) for d=4 was written by Denef & Moore in 2007. After that the full WCF There are other physical was announced by Kontsevich derivations of the ...
Least and greatest fixed points in linear logic
Least and greatest fixed points in linear logic

The positons of the three quarks composing the proton are
The positons of the three quarks composing the proton are

... the light quark mass parameters are heavier, giving a pion mass of 396 MeV. The black brackets with upward ellipses represent Non-quark model mesons include exotic whichadditional have states. The dotted boxes indicate states regions of the spectrum where present techniques make mesons, it difficult ...
Aalborg Universitet Cornean, Decebal Horia
Aalborg Universitet Cornean, Decebal Horia

... {dist(z, σ(H))}α+2 dist(z, σ(H)) Remark. This proposition is related to what specialists in von Neumann algebras would call dual action, see [100, 101, 102]. Stronger localization results have been earlier obtained by Jaffard [60], later generalized by Gröchenig and Leinert [36]. Now here is the fi ...
An Abridged Report - Association for the Advancement of Artificial
An Abridged Report - Association for the Advancement of Artificial

What is "formal logic"?
What is "formal logic"?

Review - Gerry O nolan
Review - Gerry O nolan

... or, for that matter, the rest of the book. And, in contrast to the rest of the chapter (which, by Stove's own admission (127), can only charitably be described as radical), Section (ii) is a much needed discussion of the question of whether there can ever exist purely formal judgements of invalidity ...
Proof Theory - Andrew.cmu.edu
Proof Theory - Andrew.cmu.edu

... which intuitionistic logic is “constructive.” We have thus already encountered some of the central themes of proof-theoretic analysis: • Important fragments of mathematical reasoning can be captured by formal systems. • One can study the properties of these formal systems, for example, describing tr ...
Atomic Line Spectra: the Bohr model Line Spectra of Excited Atoms
Atomic Line Spectra: the Bohr model Line Spectra of Excited Atoms

... One (incorrect) view of atomic structure in early 20th century was that an electron (e-) traveled about the nucleus in an orbit. ...
Ergodlc Properties of the Equilibrium Process Associated with
Ergodlc Properties of the Equilibrium Process Associated with

... processes which have an invariant measure A. It is known that if each process starts from each point of a ^-Poisson point process at time zero,, these particles are /l-Poisson distributed at every later time £>0 Q]. In the present paper we are concerned with the ergodic properties of the stationary ...
Elements of Finite Model Theory
Elements of Finite Model Theory

... reach a fixed-point, either in a monotone or inflationary semantics. Monotone inductive definitions always give rise to a relational operator which determines a least fixed-point (LFP), whereas inflationary inductive definitions reach a fixedpoint determined by a non-decreasing sequence of relations ...
Atomic Line Spectra: the Bohr model Line Spectra of Excited Atoms
Atomic Line Spectra: the Bohr model Line Spectra of Excited Atoms

... and Bohr Bohr Bohr said that this classical view was wrong. He saw the need for a new theory — now called QUANTUM or WAVE MECHANICS. –An e- can only exist in certain discrete orbits — called stationary states. –An e- is restricted to QUANTIZED (discrete) energy states. –The energy of a state = - (Rh ...
On Elkan`s theorems: Clarifying their meaning
On Elkan`s theorems: Clarifying their meaning

... omitted from the first version of Elkan’s theorem. As to the rest of the assumptions, both t~A ∧ B! ⫽ min$t~A!, t~B!% and t~¬A! ⫽ 1 ⫺ t~A! are quite reasonable and, in fact, are often used in applications of fuzzy logic. Let us now concentrate on the last assumption, that is, on t~A! ⫽ t~B! if A and ...
The modal logic of equilibrium models
The modal logic of equilibrium models

... (fullpast) for every w, for every finite P, Q ⊆ Vw such that P is nonempty, there is u such that: wRS u, Vu ∩ P = ∅ and Q ⊆ Vu ; (mtrans) for every w, u, wT , if wRS u and uRT wT then wRT wT ; (wconv) for every w, wT , if wRT wT then w = wT or wT RS w. The first two constraints are about RT , the ne ...
Lecture01 - Mathematics
Lecture01 - Mathematics

... that the numbers that make the form x 2  y 2 equal some fixed positive constant take the shape of a hyperbola. An algebraic expression like x 2  y 2 represents an infinite collection of numbers generated by a common arithmetic form. Simplistically speaking, we often characterize such forms by the ...
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Quantum logic

In quantum mechanics, quantum logic is a set of rules for reasoning about propositions that takes the principles of quantum theory into account. This research area and its name originated in a 1936 paper by Garrett Birkhoff and John von Neumann, who were attempting to reconcile the apparent inconsistency of classical logic with the facts concerning the measurement of complementary variables in quantum mechanics, such as position and momentum.Quantum logic can be formulated either as a modified version of propositional logic or as a noncommutative and non-associative many-valued (MV) logic.Quantum logic has some properties that clearly distinguish it from classical logic, most notably, the failure of the distributive law of propositional logic: p and (q or r) = (p and q) or (p and r),where the symbols p, q and r are propositional variables. To illustrate why the distributive law fails, consider a particle moving on a line and let p = ""the particle has momentum in the interval [0, +1/6]"
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