The triple-number is essentially a digital model based on the three-bit binary, and the operation types of the factors are different. The triple-number is not only a simple binary model, but also has the reasoning function of formal logic. In theory, it is feasible to use this digital model to study some scientific problems that have isomorphic properties in formal logic. Some famous mathematical conjectures are discussed with triple-number, such as ABC Conjecture, Goldbach Conjecture, Twin Prime Conjecture, Catalan Conjecture, 3n+1 Conjecture, Fermat's Theorem, Euler Conjecture, Poincaré Conjecture, Riemann Conjecture, Quantum Properties of Mathematics and Russell Paradox, Perfect Cube, BSD Conjecture, Hodge Conjecture, Hualin Conjecture, Diophantine Equation, NP Complete Problem, Ringer Conjecture and Four-Color Theorem. The relationship between triple-number and probability, fuzzy mathematics, limit, trigonometric function, binomial theorem, Taylor formula, high-order differential, definite integral, multiple integral, Dirichlet function, order and tensor of magic group is discussed. By triple-number, quaternions, octal numbers, p-numbers, and vectors are also discussed. The triplet product digital chain can characterize infinity and indefinitely small. Triple-number is used to find the mathematical and physical constants in the universe. The coding rules of 64 genetic codes are discussed, and the concept of DNA geometry is proposed by triple-number. The book supposes that the great unified force of the four forces in the universe is Planck force, which is transmitted by Planck force. By the digital model of Planck force transferring velocity, the book deals with the universe's singularity, space-time, space-time quantum, temperature, information entropy, black hole, mass, energy, dark matter, dark energy, consciousness, anti-speed, anti-space-time, virtual space-time, virtual mass, virtual energy, negative mass, negative energy, negative temperature, antimatter and elements. The author predicts that there should be 262 elements in the complete periodic table, and theoretically the atomic weight of each element can be obtained.
In Section 2 we will deal with the “discrete” case. Let S be a locally finite tree T endowed with the natural integer-valued distance function: the ...
... for in this case [yp](s)=s[yp](s), [yp](s)=s2[yp](s). As we will see in the examples, this assumption also makes it possible to deal with the initial ...
x,y∈S δ(x,y) is maximum. u(x) + ADDITIVE SUBSET CHOICE Input: A set X = {x1 ,x2 ... F Tractability cycle Test 8.2 How (Not) to Deal with Intractability 173.
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... partial differential equations have received a great deal of attention. For excellent bibliographical coverage, see Todd (1956), Richtmyer (1957), ...
Todd, P. A., McKeen, .l. ... ANALYTICAL SUPPORT PROBLEM SOLVING Cognitive Perspectives on Modelling HOW DO STUDENTS AND TEACHERS DEAL Sodhi and Son 219 NOTE ...