Ví dụ về việc sử dụng First-order trong Tiếng anh và bản dịch của chúng sang Tiếng việt
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The first-order equation is.
And remember, this is just a first-order calculation.
The first-order condition becomes.
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First-order logic is a particular formal system of logic….
Keep on such bushes should only be the first-order sockets, which are the most viable.
One of the interesting properties of periodic groups is that thedefinition cannot be formalized in terms of first-order logic.
Consider, for example, the first-order formula"if a is a philosopher, then a is a scholar".
The theory defined by these axioms is known as PA-;the theory PA is obtained by adding the first-order induction schema.
This includes not just the first-order impacts, but longer-term, unintended consequences as well.
The 1928 first edition thereof is considered the first elementary textclearly grounded in the formalism now known as first-order logic(FOL).
Both first-order and second-order logic use the idea of a domain of discourse(often called simply the"domain" or the"universe").
The syntax determines which finitesequences of symbols are legal expressions in first-order logic, while the semantics determine the meanings behind these expressions.
A first-order task for the United States is to help build the capacity of regional states to deter and counter China's maritime coercion.
Natural language understanding:Convert chunks of text into more formal representations such as first-order logic structures that are easier for computer programs to manipulate.
While first-order logic allows for the use of predicates, such as"is a philosopher" in this example, propositional logic does not.[5].
Although modal logic is not often used to axiomatize mathematics,it has been used to study the properties of first-order provability(Solovay 1976) and set-theoretic forcing(Hamkins and Löwe 2007).
The first-order induction schema includes every instance of the first-order induction axiom, that is, it includes the induction axiom for every formula φ.
Turkey's major strategic goals in the Syrian civilwar do not align with our own, since their first-order concerns are to prevent the Kurds from gaining strength to attack the Turkish state, and to protect Turkmen living in Syria.
First-order logic quantifies only variables that range over individuals(elements of the domain of discourse); second-order logic, in addition, also quantifies over relations.
Hydromorphinol is metabolised mainly in the liver in the same fashion as many other opioids and is itself a minor active metabolite of 14-Hydroxydihydrocodeine, an uncommonly used opiate(butis therefore also an active metabolite of a first-order active metabolite of oxycodone).
Among these, there are 8 which are designated as first-order key disciplines by the Chinese government, and 37 which are designated as second-order key disciplines.
To obtain the first-order correction to the energy eigenstate, we insert our expression for the first-order energy correction back into the result shown above equating the first-order coefficients of λ.
In mathematical logic, a definable set is an n-ary relation on the domain of a structure whose elementsare precisely those elements satisfying some formula in the first-order language of that structure. A set can be defined with or without parameters, which are elements of the domain that can be referenced in the formula defining the relation.
A weaker first-order system called Peano arithmetic is obtained by explicitly adding the addition and multiplication operation symbols and replacing the second-order induction axiom with a first-order axiom schema.
Such a schema includes one axiom per predicate definable in the first-order language of Peano arithmetic, making it weaker than the second-order axiom.[8] The reason that it is weaker is that the number of predicates in first-order language is countable, whereas the number of sets of natural numbers is uncountable.
First-order logic- also known as predicate logic, quantificational logic, and first-order predicate calculus- is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.
A theory about a topic is usually a first-order logic together with a specified domain of discourse over which the quantified variables range, finitely many functions from that domain to itself, finitely many predicates defined on that domain, and a set of axioms believed to hold for those things.
The adjective"first-order" distinguishes first-order logic from higher-order logic in which there are predicates having predicates or functions as arguments, or in which one or both of predicate quantifiers or function quantifiers are permitted.[3]: 56 In first-order theories, predicates are often associated with sets.