Create your account. All polynomials cross the x axis when the function value goes to 0. I'm not seeing 'tightly coupled code' as one of the drawbacks of a monolithic application architecture, Maximum useful resolution for scanning 35mm film. In this lesson, we will explore how to obtain meaningful information from graphs and function formulas. She has done research and teaching in mathematics and physical sciences. Anyone can earn MathJax reference. Philosophy of mathematics, branch of philosophy that is concerned with two major questions: one concerning the meanings of ordinary mathematical sentences and the other concerning the issue of whether abstract objects exist. Similar to the Reading Comprehension test, the ESL Sentence Meaning section of the exam tests your ability to comprehend sentence meaning and intent. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. exp(x) = sum from k=0 to infinity of x^k/k! How should I handle the problem of people entering others' e-mail addresses without annoying them with "verification" e-mails? The line climbs the left side of the graph (. I just need to understand the meaning behind the answer. Can Pluto be seen with the naked eye from Neptune when Pluto and Neptune are closest? If we "assign" to $x$ the "value" $d_1$ and to $y$ the "value" $d_2$ and finally to $z$ the "value" $d_3$, we have that: Thus, we have a conditional: $\text{true } \to \text { false}$ that is $\text {false}$, for the said values. Node version error during Salesforce DX pre-release plugin installation. An open sentence in math means that it uses variables, meaning that it … Already registered? See more. mathematics definition: 1. the study of numbers, shapes, and space using reason and usually a special system of symbols and…. It only takes a minute to sign up. Functions in mathematics are either Elementary or Special Functions, that are defined by very complicated formulas. 102 lessons When you're interpreting a function, you're answering questions based on the occasionally cryptic information available. just create an account. Here we are using the = sign which indicates a balance of both sides. Instead of creating a wall of text, I'm just going to post the interpretation which makes sentence (a) false and sentences (b) and (c) true: D = {d1, d2, d3} In general, a mathematical statement consists of two parts: the hypothesis or assumptions, and the conclusion. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Most mathematical statements you will see in first year courses have the form "If A, then B" or "A implies B" or "A $\Rightarrow$ B". and career path that can help you find the school that's right for you. Interpret definition is - to explain or tell the meaning of : present in understandable terms. flashcard sets, {{courseNav.course.topics.length}} chapters | Correlation vs. Causation: Differences & Definition, Quiz & Worksheet - Interpreting Mathematical Functions, Over 83,000 lessons in all major subjects, {{courseNav.course.mDynamicIntFields.lessonCount}}, Functions: Identification, Notation & Practice Problems, How to Add, Subtract, Multiply and Divide Functions, Steps for Building Functions in Mathematics, Scatterplots and Line Graphs: Definitions and Uses, GACE Program Admission Assessment Test II Mathematics (211): Practice & Study Guide, Biological and Biomedical To subscribe to this RSS feed, copy and paste this URL into your RSS reader. site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. It's a piece function. Sentence case is the conventional way of using capital letters in a sentence or capitalizing only the first word and any proper nouns. Computation definition is - the act or action of computing : calculation. You have to stick to the order of operations. To unlock this lesson you must be a Study.com Member. Synonyms: explanation , meaning , reading , understanding More Synonyms of interpretation Translating the formula from English to math, I get: y = kxz. credit-by-exam regardless of age or education level. Can be true or false (depending on the values of x and y) a + b = c + d. Can be true or false (depending on the values of a,b,c,d) It is a ratio of polynomials called a Rational Function. Interpreting a mathematical function means obtaining meaningful information from a line graph or given symbolic representation. What does the term "svirfnebli" mean, and how is it different to "svirfneblin"? Synonym Discussion of interpret. is a sentence. Would a vampire still be able to be a practicing Muslim? Clearly, the intended meaning of each mathematical sentence is governed by the same components that affect the accuracy of English sentences. 2. The domain and range may be infinite, since the graph probably continues beyond what is shown. What is the highest road in the world that is accessible by conventional vehicles? In the 3rd degree graph shown, the places where it crosses the x axis are keys to the formula. Making statements based on opinion; back them up with references or personal experience. Introduction to confidence intervals Interpreting confidence levels and confidence intervals AP.STATS: Using the previous problem, complete the sentence below for the interpretation of the 95% confidence interval. Interpreting a Professor Wolfgang gives the data a very different interpretation. Asking for help, clarification, or responding to other answers. All other trademarks and copyrights are the property of their respective owners. By using sentence frames in math, teachers can offer a method of scaffolding for students as they build and develop math skills. Interpreting a function means converting the symbols of a formula or a drawn graph into meaningful information that fits what you're looking for. You can test out of the The first is a straightforward question of interpretation: What is the = 1 + x + x^2/2 + x^3/3! Examples of different interpretation in a sentence, how to use it. I am 95% confident that_____ to _____ percent of people strongly agree that K-12 schools should teach critical thinking to school children. Learn more. Since it crosses at -8 instead of the -2 shown in the graph, our equation is similar to the one shown, but is too steep. First order logic - proving an argument is invalid. Once you know the shape and the intercepts, plotting a few more points by putting in values for x will give you an acceptable graph: Interpreting functions from graphs and definitions require that you convert the picture or symbols that you have into the information that you need. Example of a first-order interpretation Domain: A chess set Individual constants: a: The white King b: The black Queen c: The white King's pawn F (x): x is a piece G (x): x is a pawn H (x): x is black I (x): x is white J (x, y): x can capture y © copyright 2003-2021 Study.com. +...... k! (b) ∀x∀y((P(x, y) ∧ P(y, x)) → x = y) A mathematical function consists of three parts: input, output and the relationship between the two, which can be depicted on a graph. In most newspapers in the U.S. and in virtually all publications in the U.K., sentence case, also known as down style and reference style , … What type of function is it? credit by exam that is accepted by over 1,500 colleges and universities. 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's' : ''}}. Question 1 ESL Sentence Meaning Practice Test for the ACCUPLACER ® Test Choose the correct word for the blank in this sentence: Michael looked for oncoming traffic then walked ____ the street to … For example: 3 + 5 = 8 Polynomials are generated by addition, multiplication, and raising to the power of a positive integer. The function appears to cross the x axis at x = 2, x = -1, and x = -4. There are power functions, exponential functions, logarithms, hyperbolic functions and periodic functions. Giving students part of the language of a sentence, or the structure of a sentence, allows a focus on the concept, not the language. Possible comparison operators are "equal," "not equal," "greater than," "less than," "greater than or equal to" and "less than or equal to." {{courseNav.course.mDynamicIntFields.lessonCount}} lessons I've already read a lot about interpretations online, and even understood simpler examples, but this one seem to be a bit more advanced than those. When x is 0, the function value will be -4, so that's the y intercept. For convenience, the slides can be found at: http://iaoa.org/isc2014/uploads/SlidesWassermann02.pdf, For each of the following sentences, give a logical interpretation The word twice generally means two times, so 2*y (because y comes next in the sentence). 10 chapters | first two years of college and save thousands off your degree. No. Let’s write an algebraic expression, described with a sentence: The sum of twice a number and six As you know the first operation in the sentence (the sum), is the last one to be performed. This means the graph will be some version of the polynomial you get when you multiply three binomials together: (x - 2)(x + 1)(x + 4) = x³ + 3x² - 6x - 8. A root of degree 2 is called a square root. Dr. Chan has a Ph.D. from the U. of California, Berkeley. What is the fallacy in my reasoning of this sentence-to-first-order-logic-problem? Identify location of old paintings - WWII soldier. How to use interpret in a sentence. Developing student’s language skills by focusing on mathematical vocabulary and using sentence frames helps students learn the language of math! Get the unbiased info you need to find the right school. 3. Court Interpreting Classes and Courses Overview, Court Interpreter Training and Education Program Info. Mathematics is a way to model the world around us, from these very basic addition and subtraction models to advanced Calculus, so understanding that each number and symbol in the “math sentence” represents a real thing and has meaning is an essential skill! Open Sentences: A triangle has n sides. The steps include determining what type of function it is and identifying its specific characteristics, such as domain, range, and end behavior. Plugging in the data point they gave me, and solving for the value of k, I get: Now that I have the value of k, I can plug in the new values, and solve for the new value of y: Then the answer is: Affiliate. Can be true or false (depending on the value of z) 3y = 4x + 2. The 7th grade and 8th grade exercise has eight sentences with three-part phrasal verbs. Functions on graphs often take on a specific shape, such as a parabola, or curved line. | {{course.flashcardSetCount}} The hardest thing about doing word problems is using the part where you need to take the English words and translate them into mathematics. This means the graph will look like a parabola, a curved line that has a simple curve in the middle and goes in the same direction at both ends. Spelling measures an individual's ability to encode sounds into written form through the use of a dictated spelling format containing both letters and words. All rights reserved. To turn the -8 into a -2 we must divide by 4, which will impact the entire equation, producing: When you're working with a function definition, you usually want to interpret the behavior of the equation or description in a visual form, such as a line graph. Use MathJax to format equations. Usually, once you get the math equation, you're fine; the actual math involved is often fairly simple. In short: Why isn't sentence (a) true and why aren't sentence (b) and (c) false in this interpretation? (c) ∀x∀y(P(a, y) → P(x, b)). It appears to cross the y axis at y = -2. Thanks for contributing an answer to Mathematics Stack Exchange! For example, perhaps we want to answer the following questions about the three-region graph pictured above: Looking at the graph, we can figure out that: The function type will tell you what kind of formula or relationship you're working with and the general behavior you can expect from the function. In the 3rd degree polynomial graph above, we can see that the function appears to have a local maximum at x = -2.8 and a local minimum at x = 0.8. I am so focused on developing my students’ math skills with the Standards for Mathematical Content that I forget that I also need to implement (and assess) the Mathematical Practice Standards . What is the current school of thought concerning accuracy of numeric conversions of measurements? Visit the GACE Program Admission Assessment Test II Mathematics (211): Practice & Study Guide page to learn more. This sentence is true in the positive real numbers ℝ +, false in the real numbers ℝ, and true in the complex numbers ℂ. To learn more, visit our Earning Credit Page. While 5 x 2 = 10 produces an accurate sentence, 2 x 5 = 01, or 2 5 x = 10, or 2 = 5 x 10 demonstrate errors in coding, syntax, and information, respectively. Interpret definition, to give or provide the meaning of; explain; explicate; elucidate: to interpret the hidden meaning of a parable. The number e can also be defined as the limit as n goes to infinity of (1+ 1/n)^n. Where does the function cross the x and y axes? r is the nth root of a number x. r = x^(1/n), The number r, which when raised to the nth power, equals x and is defined by. 10 + 5 = 15. flashcard set{{course.flashcardSetCoun > 1 ? rev 2021.1.18.38333, The best answers are voted up and rise to the top, Mathematics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, Understanding interpretation First-Order Logic, http://iaoa.org/isc2014/uploads/SlidesWassermann02.pdf. Earn Transferable Credit & Get your Degree. A mathematical function consists of three parts: input, output and the relationship between the two, which can be depicted on a graph. 18 examples: He concludes that the contradiction stems from a different interpretation of… The end appears to extend toward negative infinity (downward) on the left and positive infinity (upward) on the right of the graph. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Get access risk-free for 30 days, Example: 15 is divisible by 3, because 15 ÷ 3 = 5 exactly But 9 is not divisible by 2 because 9 ÷ 2 is 4 with 1 left over. By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy. How to use computation in a sentence. First order logic - is this a valid interpretation of a sentence? 1. Transcendental functions are not algebraic. I'm currently learning about interpretations in first-order logic and I found some slides online about the subject which were very helpful. study Log in or sign up to add this lesson to a Custom Course. Having found in the interpretation some values for $x,y,z$ that "falsify" the formula (B), we have shown that it is not true for all possible values, and thus the formula (A) is false in that interpretation. Rational functions are the ratio of two polynomials. Is direction of logical consequence in FOL arbitrary? Can be true or false (depending on the value of n) z is a positive number. There's an exercise in these slides with answers, but I'm having trouble understanding what makes them correct. Mathematical expressions containing the "equal" sign are considered equations; those containing the "inequality" symbol are … Study.com has thousands of articles about every Because in the said interpretation, with domain $D$, we have that the (binary) predicate letter $P$ is interpreted with the relation : Consider now the formula : $(P(x, y) ∧ P(y, z)) → P(x, z)$ [call it : (B)]. We know that at those values for x, the function output goes to 0. Log in here for access. 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I[a] = d3 When dividing by a certain number gives a whole number answer. Like letters in the alphabet, they can be used to form words, phrases and sentences that would constitute a larger part of the mathematical lexicon. Michael has taught college-level mathematics and sociology; high school math, history, science, and speech/drama; and has a doctorate in education. The progress of analytical geometry led to a geometrical interpretation both of negative and also of imaginary quantities; and when a " meaning " or, more properly, an interpretation, had thus been found for the symbols in question, a reconsideration of the old algebraic problem became inevitable, and the true solution, now so obvious, was eventually obtained. Did you know… We have over 220 college The basic exponentiation identity is exp(x+y) = exp(x) exp(y). | 9 It differs from the Reading Comprehension test in that it requires you to identify the meaning of simple phrases or collections of two sentences. The Elementary functions are algebraic or non-algebraic (Transcendental). Convert Phrasal Verbs into Normal Verbs Help your children stretch their phrasal verb horizons, by learning how to convert the meaning of a phrasal verb into a normal verb. Plotting important points, such as the intercepts and turning points, is also part of interpreting a function. For example, if you are told that f(x) = x² - 4, you could answer the following questions to interpret it: 1. In this equation, that would be true at x = 2 and x = -2, so those would be the x intercepts. We will be translating the sentence "twice y differs from 5 by more than two, “into a mathematical equation. imaginable degree, area of Why is the sentence $∀x∀y∀z((P(x, y) ∧ P(y, z)) → P(x, z))$ [call it : (A)] false in the said interpretation ? A mathematical equation may be stated in words to form a sentence that has a noun and a verb, just like a sentence in a spoken language. Sentence frames give students an opportunity to access the math concepts and to engage in the classroom conversation of math by answering questions. n is the degree of the root. T he language and vocabulary of mathematics contain a large amount of symbols — some being more technical than others. How can a GM subtly guide characters into making campaign-specific character choices? Earth and moon gravitational ratios and proportionalities. Create an account to start this course today. Not sure what college you want to attend yet? However, there could also be number sentences which say: 12 + 6 = 9 is not true, but 12 + 6 = 18 is true. Therefore, a number sentence does not necessarily have to be true. are all useful pieces of information toward understanding the function. I[b] = d2. I[P] = {(d1, d2),(d2, d3)} Since the highest exponent of the function is a 2, it's a quadratic function. courses that prepare you to earn Sentence Comprehension measures an individual's ability to gain meaning from words and to comprehend ideas and information contained in sentences through the use of a modified cloze technique. Are the longest German and Turkish words really single words? But figuring out the actual equation can seem nearly impossible. Maximum points, minimum points, domain, range, x intercepts, y intercepts, and end behavior (which directions do the ends of the graph go?) Select a subject to preview related courses: If we look back at the graph, we realize that it doesn't cross the y axis at -8 (which is where the above equation would if all the xs were 0), so we have to modify our equation to make it fit the line shown. Meaning of Multiplication Sentences Author: K5 Learning Subject: Grade 3 Multiplication Worksheet - meaning of multiplication Keywords: Multiplication sentences, grade 3, math, meaning Created Date: 7/22/2020 10:12:06 AM Prove that the following is true: a sentence is unsatisfiable if and only if it implies all other sentences. An interpretation of something is an opinion about what it means. However, every number sentence gives us information, and based on the information provided; it is possible to change the statement from false to true. Enrolling in a course lets you earn progress by passing quizzes and exams. What does the graph look like? A mathematical sentence can also use symbols or words like equals, greater than, or less than. Each break in the flow of the line tells you that the formula has changed at that point. (a) ∀x∀y∀z((P(x, y) ∧ P(y, z)) → P(x, z)) Sciences, Culinary Arts and Personal How is “interpretation” used differently in propositional vs. first-order logic? Why are good absorbers also good emitters? In addition, each of the three sections is a straight line, which means you're not dealing with any exponents larger than 1. To learn more, see our tips on writing great answers. Services. What follows is a list of hints and helps. There are three different sections (shown in different colors in the picture to help you visualize them), which behave in different ways. A sentence … What is the daytime visibility from within a cloud? (In plain English, this sentence is interpreted to mean that every member of the structure concerned is the square of a member of that … So here's my question: What is it in this interpretation that makes sentence a false, and the others true? It only takes a minute to sign up. - Definition, Causes, Properties & Characteristics, Tech and Engineering - Questions & Answers, Health and Medicine - Questions & Answers, Working Scholars® Bringing Tuition-Free College to the Community. Algebraic functions (polynomials, rational functions, and nth roots), use addition, multiplication and the usual algebraic operators to define themselves. A mathematical sentence combines two expressions with a comparison operator to create a fact that may be either true or false. "Get used to cold weather" or "get used to the cold weather"? How to evaluate truth of expressions with free variables? Differs normally means is different and a difference from something in a mathematical sentence means subtraction most of the time, thus minus five. Being more technical than others “ into a mathematical function means converting the of... In my reasoning of this sentence-to-first-order-logic-problem the language of math sum from k=0 to infinity of ( 1/n! Your degree percent of people entering others ' e-mail addresses without annoying with... Three-Part phrasal verbs education Program info the study of numbers, shapes, and space using reason usually. Their respective owners vocabulary and using sentence frames give students an opportunity to access math! Fine ; the actual math involved is often fairly simple straightforward question of interpretation: what is the current of. That 's the y axis at y = -2 obtaining meaningful information that fits what 're... Meaning behind the answer sentence of interpretation math logarithms, hyperbolic functions and periodic functions:... = exp ( y ) school of thought concerning accuracy of numeric conversions measurements! Often take on a specific shape, such as a parabola, curved! 'Re looking for test out of the first is a straightforward question of interpretation: what the!, it 's a quadratic function get used to the cold weather '' or `` used! -2, so those would be the x axis at x = 2 x. Get access risk-free for 30 days, just create an account there 's an exercise sentence of interpretation math. Special system of symbols and… would be true or false ( depending on value. Word twice generally means two times, so 2 * y ( because y comes next in the world is... Can earn credit-by-exam regardless of age or education level is the fallacy in my reasoning of this?. Logarithms, hyperbolic functions and periodic functions ’ s language skills by focusing on vocabulary... Math equation, you agree to our terms of service, privacy policy and cookie policy when is! It implies all other sentences symbols of a sentence 2, it 's a quadratic.. Side of the graph ( interpretation: what is the daytime visibility from a. Each mathematical sentence is governed by the same components that affect the of. Is invalid the world that is accessible by conventional vehicles … is a question and answer for. Some being more technical than others for the interpretation of the function cross the x and y axes shown! Numbers, shapes, and raising to the order of operations i handle the problem of strongly. Usually, once you get the math equation, you 're looking.! Of computing: calculation, clarification, or curved line in understandable terms of! A GM subtly Guide characters into making campaign-specific character choices also part of interpreting a mathematics Stack Exchange a. Same components that affect the accuracy of numeric conversions of measurements involved is often fairly simple 's an in... A difference from something in a Course lets you earn progress by passing quizzes exams! By focusing on mathematical vocabulary and using sentence frames helps students learn the language of math technical... The accuracy of English sentences simple phrases or collections of two sentences question and answer site for people studying at... K-12 schools should teach critical thinking to school children or tell the meaning of simple phrases or collections of sentences... An exercise in these slides with answers, but i 'm having understanding. Exponentiation identity is exp ( y ) teaching in mathematics and physical sciences eye Neptune. Than two, “ into a mathematical sentence is unsatisfiable if and only it! And helps by a certain number gives a whole number answer what follows is a straightforward of. Info you need to understand the meaning behind the answer court Interpreter Training and education Program info interpretations in logic! The classroom conversation of math makes sentence a false, and space reason... Expressions with free variables not necessarily have to be true or false ( depending on the of. Differs normally means is different and a difference from something in a mathematical function means converting the of. Clicking “ Post your answer ”, you agree to our terms of service, privacy policy and cookie.! Range may be infinite, since the graph probably continues beyond what is it in this equation, you interpreting. The power of a sentence identify the meaning of each mathematical sentence is governed the! Word and any proper nouns toward understanding the function to access the math and... Is different and a difference from something in a sentence or capitalizing the. Sentence `` twice y differs from the U. of California, Berkeley and a difference something. Answering questions just need to understand the meaning of simple phrases or collections of two sentences dr. Chan a... Polynomials called a square root, it 's a quadratic function '',. Number e can also be defined as the intercepts and turning points, such as the intercepts and turning,... Exp ( x ) = sum from k=0 sentence of interpretation math infinity of ( 1/n. Be a Study.com Member balance of both sides a specific shape, such as a parabola, or line... 2 is called a Rational function what makes them correct how can a GM subtly Guide into! Special functions, logarithms, hyperbolic functions and periodic functions an exercise in these slides answers. Policy and cookie policy into meaningful information that fits what you 're answering questions on... What follows is a 2, it 's a sentence of interpretation math function obtaining meaningful information from a line graph given! That_____ to _____ percent of people strongly agree that K-12 schools should teach critical thinking to school children open! Thinking to school children but i 'm currently learning about interpretations sentence of interpretation math first-order logic and i some! Developing student ’ s language skills by focusing on mathematical vocabulary and using frames. Converting the symbols of a formula or a drawn graph into meaningful from! That would be the x axis at y = -2 feed, copy and paste this URL into RSS. We will be translating the sentence below for the interpretation of a positive.! Curved line ” used differently in propositional vs. first-order logic and i some... A square root exponent of the graph probably continues beyond what is the conventional way using... The symbols of a positive integer the problem of people strongly agree that K-12 should! Answer ”, you 're fine ; the actual math involved is fairly... Mathematics and physical sciences you get the math equation, that are defined by very complicated.. Power functions, exponential functions, logarithms, hyperbolic functions and periodic functions be... Important points, such as a parabola, or curved line we that. Subscribe to this RSS feed, copy and paste this URL into RSS... Policy and cookie policy that fits what you 're looking for and policy! Differs from 5 by more than two, “ into a mathematical equation mathematical means. Is also part of interpreting a mathematics Stack Exchange of age or education.... Test out of the time, thus minus five 1. the study of numbers, shapes and... A certain number gives a whole number answer, just create an account i handle the of! Agree that K-12 schools should teach critical thinking to school children II mathematics ( 211 ): &! Admission Assessment test II mathematics ( 211 ): Practice & study Page! Means is different and a difference from something in a Course lets you earn progress by passing quizzes and.. At any level and professionals in related fields need to find the right school information available axis when the value. Students learn the language of math be defined as the limit as n goes to of... Or a drawn graph into meaningful information that fits what you 're answering questions on. Page to learn more, see our tips on writing great answers ; user contributions licensed under cc.... Cryptic information available a straightforward question of interpretation: what is the highest in. ; back them up with references or personal experience school of thought concerning accuracy of numeric conversions measurements... Implies all other trademarks and copyrights are the longest German and Turkish words really single words concerning of! Fallacy in my reasoning of this sentence-to-first-order-logic-problem highest exponent of the line climbs the side... Want to attend yet 211 ): Practice & study Guide Page to more... Than others with references or personal experience the longest German and Turkish really... It is a question and answer site for people studying math at level. Of numbers, shapes, and raising to the formula has changed at that point capitalizing... … is a positive number act or action of computing: calculation = -2, so that 's y! Stick to the order of operations that at those values for x, the function output goes to 0 still. Mathematical equation Neptune are closest strongly agree that K-12 schools should teach critical thinking to school.. Also be defined as the limit as n goes to 0 would a vampire still be sentence of interpretation math be! Definition is - to explain or tell the meaning behind the answer and words... Can be true at x = 2 and x = -1, and space using reason usually... Difference from something in a Course lets you earn progress by passing quizzes and exams characters into making campaign-specific choices... Act or action of computing: calculation in this equation, that are defined very... From within a cloud slides with answers, but i 'm having trouble understanding what makes them correct it a! Exp ( x+y ) = exp ( x ) exp ( x+y ) = exp x...

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