See also Constructive logic. A. to explain something; give an explanation. IX (of 15). Learn more. To cook in water that begins cold and then reaches a boil. to clarify or explain the meaning of; elucidate, to construe the significance or intention of, to convey or represent the spirit or meaning of (a poem, song, etc) in performance, to act as an interpreter; translate orally, Daphne Merkin on Lena Dunham, Book Criticism, and Self-Examination, The Restaurant, Flask, And Photography Worthy of The Macallan Whisky, What It’s Like to Be an Atheist in Palestine, Silicon Valley Interns Make a Service Worker’s Yearly Salary In Three Months, Millions Promised for Ebola Not Adding Up, Warren Commission (9 of 26): Hearings Vol. In mathematics such values are mathematical objects (sets, operations, expressions, etc.). Semenov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. https://encyclopediaofmath.org/index.php?title=Interpretation&oldid=32931, E. Rasiowa, R. Sikorski, "The mathematics of metamathematics" , Polska Akad. At first glance, it might be tempting to interpret this extravagant level of compensation as a victory for the once-humble intern. I am as yet unable to interpret satisfactorily any of the compound characters of which these supposed men glyphs form a part. The European Mathematical Society. They are defined as Boolean-valued interpretations with a two-element Boolean algebra $A$. “Epidemic” vs. “Pandemic” vs. “Endemic”: What Do These Terms Mean? Why Do “Left” And “Right” Mean Liberal And Conservative? Student has difficulty visualizing patterns or the parts of a math problem in his head. “Affect” vs. “Effect”: Use The Correct Word Every Time. Model (in logic)) of a system of formulas of a certain language is an interpretation of this language in which all formulas of the system are true. Or sometimes you'll need a teacher to work on the problem with you, showing how to interpret the mathematical language. Many of the ladies had no French and many no English, and those who knew both languages had to interpret for the others. How to identify the different parts of the expression, Interpret expressions in terms of its context, examples and step by step solutions, Translate Word Phrases and Sentences Into Inequalities, Common Core High School, Algebra, HSA-SSE.A.1, terms, coefficients Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020, Collins English Dictionary - Complete & Unabridged 2012 Digital Edition A model (or regular interpretation, or simply an interpretation, cf. Interpretation. An important kind of set-theoretical interpretations are algebraic interpretations, in which operations on $A$ are taken as values (interpretations) of logical connectives, mappings from the set of subsets of $A$ into $A$ (generalized operations on $A$) as values of quantifiers, and where the interpretation of a formula is defined by induction with respect to the structure. to perform or render (a song, role in a play, etc.) We Asked, You Answered. If the symbols $x$ and $y$ denote real numbers (i.e. A mathematical function consists of three parts: input, output and the relationship between the two, which can be depicted on a graph. We must not interpret gains as an outright victory—nothing could be more dangerous. to construe or understand in a particular way: to bring out the meaning of (a dramatic work, music, etc.) As the value (interpretation) of a statement of planar Lobachevskii geometry in the Poincaré model, the corresponding statement of planar Euclidean geometry may serve. 3. The value itself is called an interpretation of the corresponding expression. Interpreting a If there are zero-place, one-place, etc. Kripke models are the most important among the other set-theoretical interpretations. For example, the standard interpretation of the symbol $=$ in a classical interpretation is that of coincidence of elements, and the standard interpretation of $+$ and $\cdot$ in arithmetic are addition and multiplication of natural numbers. ( intr) to act as an interpreter; translate orally. ( tr) to construe the significance or intention of: to interpret a smile as an invitation. How to use interpret in a sentence. The term standard interpretation is used when among all possible values (interpretations) of a certain expression there is a generally accepted one. See, e.g., [a1]. Student has difficulty associating math symbols with the concepts they represent. Information and translations of interpret in the most comprehensive dictionary definitions resource on … The value itself is called an interpretation of the corresponding expression. This article was adapted from an original article by A.L. Many Muslims may disagree with my view, or interpret Islam in a more moderate way, but I cannot accept this religion myself. Interpret definition, to give or provide the meaning of; explain; explicate; elucidate: to interpret the hidden meaning of a parable. The concept of truth of formulas in a given interpretation is defined by distinguishing certain elements in $A$. according to one's own understanding or sensitivity: The actor interpreted Lear as a weak, pitiful old man. Synonym Discussion of interpret. Start learning this word This mapping is usually given by induction on the structure of terms. The Popular Story About Black Friday’s Name Is A Myth, American Presidents Helped These Words Join Our Everyday Vocabulary. Even if you can't be a professional chef, you can at least talk like one with this vocabulary quiz. 2. 1. ( tr) to clarify or explain the meaning of; elucidate. Interpretation (model theory), a technical notion that approximates the idea of representing a logical structure inside another structure; Interpretation function, in mathematical logic a function that assigns functions and relations to the symbols of a signature An interpretation of a formula is defined, analogous to that of a term, as a mapping assigning to each choice of values of object, function and predicate variables of the language an element of $A$. You may have read the word "simmer" in a recipe or two, but what does it really mean? Illustrated definition of Expression: Numbers, symbols and operators (such as and times) grouped together that show the value of something. This lesson will show 4 ways to interpret the remainder. A set-theoretical interpretation of a logical language includes a specification of the values of constants — of the object, function and predicate constants and constants of higher degrees (constants for predicates of predicates, etc. interpret definition: 1. to decide what the intended meaning of something is: 2. to express your own ideas about the…. Describe 2020 In Just One Word? to translate what is said in a foreign language. Examples. In multi-sort interpretations, differing object variables may have differing domains of applicability; the same applies for function variables, etc. As Testino explains, he decided to interpret each of the pillars via six unique characters. To cook in water, just below boiling temperature. How to interpret the remainder. This page was last edited on 14 August 2014, at 18:50. For example, for classical interpretations it is natural to take the unit of the Boolean algebra as distinguished element (the unit is also called "truth"). See more. Topos). Write the remainder as a fraction; Add 1 to the quotient; Use only the remainder (or drop the quotient) Drop the remainder (or use only the quotient)