2024 Any real number symbol

$In arithmetic, a real number is a value of a continuous quantity that can be represented as a distance along a line. Real numbers include both rational and irrational numbers. Rational numbers such as integers (-6, 0, 7), fractions (1/3,5/8, 3.5), and irrational numbers such as √5, e, π, etc., are all real numbers.. Kansas vs west virginia$

Because the graph does not include any negative values for the range, the range is only nonnegative real numbers. Figure $\PageIndex{16}$: Cubic function $f(x)-x^3$. For the cubic function $f(x)=x^3$, the domain is all real numbers because the horizontal extent of the graph is the whole real number line. The same applies to the vertical ... 25 de set. de 2020 ... ... {A})\underline{v}=\alpha \underline{A} ... Here the symbol “R”, which represent real number; and 'right arrow' , '\' is not rendered.The ten digits of the Arabic numerals, in order of value.. A numerical digit (often shortened to just digit) is a single symbol used alone (such as "1") or in combinations (such as "15"), to represent numbers in a positional numeral system. The name "digit" comes from the fact that the ten digits (Latin digiti meaning fingers) of the hands correspond to the ten symbols of the common base …The notation is written as the original number, or the base, with a second number, or the exponent, shown as a superscript; for example: 1. 2^3. Which would be calculated as 2 multiplied by itself 3 …A symbol for the set of real numbers In mathematics, a real number is a number that can be used to measure a continuous one- dimensional quantity such as a distance, duration or temperature. Here, continuous means that pairs of values can have arbitrarily small differences.Number sign, versatile symbol (#) most commonly used to preface numbers (e.g., apartment #1) but which encompasses a variety of other uses, especially to tag (or hashtag) posts and messages on social media platforms. The origin of the number sign is usually attributed to the Latin term libra pondo,Mar 26, 2013 · 15. You should put your symbol format definitions in another TeX file; publications tend to have their own styles, and some may use bold Roman for fields like R instead of blackboard bold. You can swap nams.tex with aom.tex. I know, this is more common with LaTeX, but the principle still applies. For example: Mar 12, 2017 · Explanation: R usually denotes the set of Real numbers. ∈ denotes membership. So x ∈ R, means that x is a member of the set of Real numbers. In other words, x is a Real number. Related expressions are: ∀x ∈ R meaning "for all x in the set of real numbers". in other words: "for all real numbers x ". ∃x ∈ R:... meaning "there exists a ... From Simple English Wikipedia, the free encyclopedia. A real number is a rational or irrational number, and is a number which can be expressed using decimal expansion. When people say "number", they usually mean "real number". The official symbol for real numbers is a bold R, or a blackboard bold R {\displaystyle \mathbb {R} } .Save. Real numbers are values that can be expressed as an infinite decimal expansion. Real numbers include integers, natural numbers, and others we will talk about in the coming sections. Examples of real numbers are ¼, pi, 0.2, and 5. Real numbers can be represented classically as a long infinite line that covers negative and positive numbers. Because the graph does not include any negative values for the range, the range is only nonnegative real numbers. Figure $\PageIndex{16}$: Cubic function $f(x)-x^3$. For the cubic function $f(x)=x^3$, the domain is all real numbers because the horizontal extent of the graph is the whole real number line. The same applies to the vertical ... 1 Answer. R1 =R R 1 = R, the set of real numbers. R2 =R ×R = {(x, y) ∣ x, y ∈ R} R 2 = R × R = { ( x, y) ∣ x, y ∈ R }, the set of all ordered pairs of real numbers. If you think of the ordered pairs as x x and y y coordinates, then it can be identified with a plane. R3 = {(x, y, z) ∣ x, y, z ∈ R} R 3 = { ( x, y, z) ∣ x, y, z ∈ ... Type of Number. It is also normal to show what type of number x is, like this: The means "a member of" (or simply "in") The is the special symbol for Real Numbers. So it says: "the set of all x's that are a member of the Real Numbers, such that x is greater than or equal to 3" In other words "all Real Numbers from 3 upwards" Oct 13, 2023 · The word real distinguishes them from the imaginary numbers, involving the symbol i, or Square root of √ −1. Complex numbers such as 1 + i have both a real (1) and an imaginary (i) part. The real numbers include the positive and negative integers and the fractions made from those integers (or rational numbers) and also the irrational ... The field of all rational and irrational numbers is called the real numbers, or simply the "reals," and denoted R. The set of real numbers is also called the continuum, denoted c. The set of reals is called Reals in the Wolfram Language, and a number x can be tested to see if it is a member of the reals using the command Element[x, Reals], and expressions that are real numbers have the Head of ...In arithmetic, a real number is a value of a continuous quantity that can be represented as a distance along a line. Real numbers include both rational and irrational numbers. Rational numbers such as integers (-6, 0, 7), fractions (1/3,5/8, 3.5), and irrational numbers such as √5, e, π, etc., are all real numbers.Expert Answer Step 1 Given the coordinates of the point on the circle as: (x,y)= ( − 1 2, − 1 2) Explanation: in this step we note down the given in... View the full answer Step 2 Step …Type of Number. It is also normal to show what type of number x is, like this: The means "a member of" (or simply "in") The is the special symbol for Real Numbers. So it says: "the set of all x's that are a member of the Real Numbers, such that x is greater than or equal to 3" In other words "all Real Numbers from 3 upwards"Dr Fadel Naim, head of orthopaedic surgery, said about 1,000 people were in Al Ahli Arab Hospital on Tuesday morning and more rushed there later in the day after he …9 de out. de 2019 ... Therefore these symbols can easily be used as part of an equivalence reasoning. But if the teachers answer is a set then the option of checking ...Interval notation can be used to express a variety of different sets of numbers. Here are a few common examples. A set including all real numbers except a single number. The union symbol can be used for disjoint sets. For example, we can express the set, { x | x ≠ 0}, using interval notation as, (−∞, 0) ∪ (0, ∞). Expert Answer. Set the down there is no subentro SOLUTION, IT there are a number of stonenter the general solution in terms of where AUUA CALHER PRACTICE ANOTHER Oy Solve the system, or show that it has no solution. (I is any real number.) . Žy = = 4. X + 10 2x 10y = -80 (x, y) = x.To set mathematical assumptions or conditions on symbolic variables, use the assume function. For example, assume that the variable x is larger than 2. syms x assume (x > 2) assume replaces all previous assumptions on the variable with the new assumption. If you want to add a new assumption to the existing assumptions, then use assumeAlso.Two graphs of linear equations in two variables. In mathematics, a linear equation is an equation that may be put in the form + … + + =, where , …, are the variables (or unknowns), and ,, …, are the coefficients, which are often …Architectural drawing symbols form an important role in any architecture drawing and help to define elements such as floor levels, lighting types and service locations. Electrical layouts in particular, require many different items …Run with Samaritans and together we can save lives. We're proud to be the 2024 TCS London Marathon Charity of the Year. The TCS London Marathon MyWay is your …What do the different numbers inside a recycling symbol on a plastic container mean? HowStuffWorks investigates. Advertisement Plastics aren't so great for the environment or our health. Unfortunately, a lot of consumer goods are enclosed i...The ten digits of the Arabic numerals, in order of value.. A numerical digit (often shortened to just digit) is a single symbol used alone (such as "1") or in combinations (such as "15"), to represent numbers in a positional numeral system. The name "digit" comes from the fact that the ten digits (Latin digiti meaning fingers) of the hands correspond to the ten symbols of the common base …The symbol "points at" the smaller value. Properties. Inequalities have properties ... all with special names! Here we list each one, with examples. Note: the values a, b and c we use below are Real Numbers. Transitive Property. When we link up inequalities in order, we can "jump over" the middle inequality. If a < b and b < c, then a < c ...As per latest publications dated May 2023 from Election Commission of India, and subsequent notifications, there are 6 national parties, [1] 54 state parties, [2] [b] and 2,597 unrecognised parties. [3] All registered parties contesting elections need to choose a symbol from a list of available symbols offered by the EC.New York CNN — Billionaire hedge fund CEO Bill Ackman and several other business leaders are demanding Harvard University release the names of students …The uprising was markedly different from the first intifada because of widespread suicide bombings against Israeli civilians launched by Hamas and other …ℝ All symbols Usage The set of real numbers symbol is the Latin capital letter “R” presented with a double-struck typeface. The symbol is used in math to represent the set of real numbers. Typically, the symbol is used in an expression like this: x ∈ R 2 Answers. No, when you only allow symbols from a finite (or countable) set of possible symbols like lim lim, √, digits and so on, the set of all possible terms (with finte length) someone can type is countable. But there are uncountable many reals in [0, 10] [ 0, 10]. Thus there are reals which are "untypable"... Jul 13, 2015 · There is no difference. The notation $(-\infty, \infty)$ in calculus is used because it is convenient to write intervals like this in case not all real numbers are required, which is quite often the case. eg. $(-1,1)$ only the real numbers between -1 and 1 (excluding -1 and 1 themselves). Number sign, versatile symbol (#) most commonly used to preface numbers (e.g., apartment #1) but which encompasses a variety of other uses, especially to tag (or hashtag) posts and messages on social media platforms. The origin of the number sign is usually attributed to the Latin term libra pondo,The uppercase ‘r’ symbol: It represents the set of all real numbers and is commonly used in algebra and calculus. For example, if we need to express a solution in a mathematical equation that contains variables, we would use the symbol ‘r’ to represent any real number as long as it satisfies the equation.Algebraic Expressions Again, we let a, b, c, x, y, z as real numbers or variables. If a, b, c are real numbers, and x, y, z are variables, then the combination of the letters and numbers are called algebraic expressions. The following are examples of algebraic expressions. 1. ꚨง 2. ⴈ 3. , 4. ꚨA model number and, later, the capacity in pints or quarts were added above, and OVEN WARE below. Sometime in the late 1960s, the circular configuration of backstamps on refrigerator dishes gave way to a more straight text format consisting of PYREX ® in larger letters with model and capacity information in smaller characters above, and MADE IN …You may wonder how one can get other styles for bullets such as correct mark, hand mark, wrong mark, hear mark, etc. The answer is we can get several marks using the pifont package. Check the following code: % Bullets styles in LaTeX. \documentclass{article} % More styles for bullets. \usepackage{pifont} \begin{document}It is often called a radical, and the number or expression underneath the top line of the symbol is called the radicand. The cube root symbol is a grouping symbol, meaning that all operations in the radicand are grouped as if they were in parentheses. Unlike a square root, the result of a cube root can be any real number: positive, negative, or ... There is no difference. The notation $(-\infty, \infty)$ in calculus is used because it is convenient to write intervals like this in case not all real numbers are required, which is quite often the case. eg. $(-1,1)$ only the real numbers between -1 and 1 (excluding -1 and 1 themselves).A mathematical statement uses the equality and inequality symbols shown above. ... numbers or irrational numbers would be considered a real number. That would ...Rate this symbol: 3.0 / 5 votes. Represents the set that contains all real numbers. 2,755 Views. Graphical characteristics: Asymmetric, Closed shape, Monochrome, Contains both straight and curved lines, Has no crossing lines. Category: Mathematical Symbols. Real Numbers is part of the Set Theory group. Edit this symbol.The old systems took a long time to dial 10 or 11 numbers (like 1-248-896-8587) and connection problems were starting to mount up. ... So, it’s pretty likely that programmers, used to seeing the “real” pound sign next to it, started calling that symbol “pound” as well. SHARE TWEET PIN. Previous post; Next post; About the Author.A symbol for the set of rational numbers. The rational numbers are included in the real numbers , while themselves including the integers , which in turn include the natural numbers . In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator p and a non-zero denominator q. [1]Learn the fastest way to type less common—but helpful—symbols on your iPhone keyboard. The iPhone keyboard has a hidden superpower—beneath its usual letters, numbers, and symbols lie a treasure trove of less common but still useful symbols....The set of whole numbers includes all the elements of the natural numbers plus the number zero (0). the symbol W indicates the set of whole numbers. on the ...Complex Numbers. A combination of a real and an imaginary number in the form a + bi, where a and b are real, and i is imaginary. The values a and b can be zero, so the set of real numbers and the set of imaginary numbers are subsets of the set of complex numbers. Examples: 1 + i, 2 - 6 i, -5.2 i, 4. If x = 1 then x 2 = 1, but if x = –1 then x 2 = 1 also. Remember that the square of real numbers is never less than 0, so the value of x that solves x 2 = –1 can’t be real. We call it an imaginary number and write i = √ –1. Any other imaginary number is a multiple of i, for example 2 i or –0.5 i.The ten digits of the Arabic numerals, in order of value.. A numerical digit (often shortened to just digit) is a single symbol used alone (such as "1") or in combinations (such as "15"), to represent numbers in a positional numeral system. The name "digit" comes from the fact that the ten digits (Latin digiti meaning fingers) of the hands correspond to the ten symbols of the common base …Floor function. Ceiling function. In mathematics and computer science, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor (x). Similarly, the ceiling function maps x to the least integer greater than or equal to x, denoted ⌈x⌉ or ... BBC Verify is analysing evidence from the Al-Ahli hospital explosion amid competing claims over responsibility.(3) Click on the new Equation Tools / Design tab, (4) in the Symbols section of the tab, click on the lowest down-arrow, you should get a drop-down list,Jun 20, 2022 · for every real number $a$ there is a unique number, called the additive inverse (or opposite), denoted $-a$; which, when added to the original number, results in the additive identity, 0; in symbols, $ a + (-a) = 0 $ Ed Clissold, chief U.S. strategist at Ned Davis Research, joins BNN Bloomberg to discuss the similarities between 1987 and 2023. Clissold says a strong first half and a third quarter pullback amid weakening breadth describes both 1987 and 2023. He notes rates rising fairly sharply and the Fed becoming increasingly hawkish are other similarities experienced in both years.Interval notation is a method to represent any subset of the real number line. We use different symbols based on the type of interval to write its notation. For example, the set of numbers x satisfying 1 ≤ x ≤ 6 is an interval that contains 1, 6, and all numbers between 1 and 6.In number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo of an odd prime number p: its value at a (nonzero) …Jun 22, 2023 · It is denoted by Z. Rational Numbers (Q) : A rational number is defined as a number that can be expressed in the form of p q, where p and q are co-prime integers and q ≠ 0.. Rational numbers are also a subset of real numbers. It is denoted by Q. Examples: – 2 3, 0, 5, 3 10, …. etc. 17 de mai. de 2023 ... Integers. The combination of whole numbers and the negative of all-natural numbers construct integers. Integers are denoted by the symbol Z.Jun 22, 2023 · It is denoted by Z. Rational Numbers (Q) : A rational number is defined as a number that can be expressed in the form of p q, where p and q are co-prime integers and q ≠ 0.. Rational numbers are also a subset of real numbers. It is denoted by Q. Examples: – 2 3, 0, 5, 3 10, …. etc. They are represented by the symbol R and have all numbers from negative infinity, denoted -∞, to positive infinity, denoted ∞, written in interval notation as ...It is often called a radical, and the number or expression underneath the top line of the symbol is called the radicand. The cube root symbol is a grouping symbol, meaning that all operations in the radicand are grouped as if they were in parentheses. Unlike a square root, the result of a cube root can be any real number: positive, negative, or ... The term “rational number” refers to a number that may be represented as a ratio of two integers. An irrational number, on the other hand, cannot be written as a fraction. Numbers that are perfect squares, such as 9, 16, 25, and so on, are included in the rational number. Surds like 2, 3, 5, and so on are examples of irrational numbers.1. Denotes addition and is read as plus; for example, 3 + 2. 2. Denotes that a number is positive and is read as plus. Redundant, but sometimes used for emphasizing that a number is positive, specially when other numbers in the context are or may be negative; for example, +2. 3. Sometimes used instead of.ℝ All symbols Usage The set of real numbers symbol is the Latin capital letter “R” presented with a double-struck typeface. The symbol is used in math to represent the set of real numbers. Typically, the symbol is used in an expression like this: x ∈ R Saying " x can be any real number"means x represents just a SINGLE real number which can be any real number(e.g. 10,12,5,4,etc).since we have not specified which real number x represents,this means Roughly speaking x represents all real numbers but one at a time.What do the different numbers inside a recycling symbol on a plastic container mean? HowStuffWorks investigates. Advertisement Plastics aren't so great for the environment or our health. Unfortunately, a lot of consumer goods are enclosed i...A symbol for the set of real numbers In mathematics, a real number is a number that can be used to measure a continuous one- dimensional quantity such as a distance, duration or temperature. Here, continuous means that pairs of values can have arbitrarily small differences.Solution: The number -1 is an integer that is NOT a whole number. This makes the statement FALSE. Example 3: Tell if the statement is true or false. The number zero (0) is a rational number. Solution: The number zero can be written as a ratio of two integers, thus it is indeed a rational number. This statement is TRUE. There is no difference. The notation $(-\infty, \infty)$ in calculus is used because it is convenient to write intervals like this in case not all real numbers are required, which is quite often the case. eg. $(-1,1)$ only the real numbers between -1 and 1 (excluding -1 and 1 themselves).In number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo of an odd prime number p: its value at a (nonzero) …A symbol for the set of rational numbers. The rational numbers are included in the real numbers , while themselves including the integers , which in turn include the natural numbers . In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator p and a non-zero denominator q. [1] A quadratic equation is a second degree polynomial having the general form ax^2 + bx + c = 0, where a, b, and c... Save to Notebook! Free equations calculator - solve linear, …Aug 3, 2023 · Real Numbers. Think of any number, and it is possibly a real number. Real numbers can be integers, whole numbers, natural naturals, fractions, or decimals. Real numbers can be positive, negative, or zero. Thus, real numbers broadly include all rational and irrational numbers. They are represented by the symbol $ {\mathbb {R}}$ and have all ... The most basic symbols are the decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9), and the letters of the Latin alphabet. The decimal digits are used for representing numbers through the Hindu-Arabic numeral system.35 The real number associated with a point on a number line. 36 A point on the number line associated with a coordinate. 37 The point on the number line that represents zero. 38 Real numbers whose graphs are on opposite sides of the origin with the same distance to the origin. 39 The opposite of a negative number is positive: $−(−a) = a$.These special symbols are real text and available to copy and paste to anywhere, such like Microsoft Word, Facebook, Twitter, HTML or Blogging. ... Number Symbols List View emoji. Ⅰ. Typographical Symbols ... Culture …The old systems took a long time to dial 10 or 11 numbers (like 1-248-896-8587) and connection problems were starting to mount up. ... So, it’s pretty likely that programmers, used to seeing the “real” pound sign next to it, started calling that symbol “pound” as well. SHARE TWEET PIN. Previous post; Next post; About the Author.Construction of the 85-story tower will be taken over by a court-appointed receiver after its owners, developer Sam Mizrahi and investor Jenny Coco, defaulted on part of the project's nearly $1.7 billion in debt (US$1.2 billion), according to a Wednesday order from the Ontario Superior Court of Justice. Two funds run by South Korea-based IGIS ...The set of complex numbers is represented by the Latin capital letter C. The symbol is often presented with a double-struck font face just as with other number sets. The set of complex numbers extends the real numbers.Type of Number. It is also normal to show what type of number x is, like this: The means "a member of" (or simply "in") The is the special symbol for Real Numbers. So it says: "the set of all x's that are a member of the Real Numbers, such that x is greater than or equal to 3" In other words "all Real Numbers from 3 upwards" 35 The real number associated with a point on a number line. 36 A point on the number line associated with a coordinate. 37 The point on the number line that represents zero. 38 Real numbers whose graphs are on opposite sides of the origin with the same distance to the origin. 39 The opposite of a negative number is positive: $−(−a) = a$.Rational Numbers Any number which can be defined in the form of a fraction p/q is called a rational number. The numerator in the fraction is represented as 'p' and the denominator as 'q', where 'q' is not equal to zero. A rational number can be a natural number, a whole number, a decimal, or an integer. Some sets have a special symbol which is used to represent them. Here are some ... all real numbers whose square is less than 4. If it is clear that we are ...The links below include lot numbers and expiration dates for the brands of at-home COVID-19 tests that have had their expiration dates extended by the FDA. You can find the lot …

Rational Numbers. Rational Numbers are numbers that can be expressed as the fraction p/q of two integers, a numerator p, and a non-zero denominator q such as 2/7. For example, 25 can be written as 25/1, so it’s a rational number. Some more examples of rational numbers are 22/7, 3/2, -11/13, -13/17, etc. As rational numbers cannot be listed in .... Lokedi runner

A basic distinction between algebra and arithmetic is the use of symbols. In algebra, symbols (usually letters) are used to represent numbers. To solve math ...The absolute value of a real number a, denoted |a|, is defined as the distance between zero (the origin) and the graph of that real number on the number line. Since it is a distance, it is always positive. For example, |− 4| = 4 and |4| = 4. Both 4 and −4 are four units from the origin, as illustrated below:Recent events are the culmination of a decades-long clash in the disputed region of the Middle East As with almost everything to do with this conflict, it depends on whom you ask. Some will begin ...The color black symbolizes many things such power, sexuality, sophistication and formality. These are only just a few of the numerous things the color black can be interpreted to mean.Mar 12, 2017 · Explanation: R usually denotes the set of Real numbers. ∈ denotes membership. So x ∈ R, means that x is a member of the set of Real numbers. In other words, x is a Real number. Related expressions are: ∀x ∈ R meaning "for all x in the set of real numbers". in other words: "for all real numbers x ". ∃x ∈ R:... meaning "there exists a ... BBC Verify is analysing evidence from the Al-Ahli hospital explosion amid competing claims over responsibility.Because the graph does not include any negative values for the range, the range is only nonnegative real numbers. Figure $\PageIndex{16}$: Cubic function $f(x)-x^3$. For the cubic function $f(x)=x^3$, the domain is all real numbers because the horizontal extent of the graph is the whole real number line. The same applies to the vertical ...The Real Number System (symbol r ) includes counting numbers, fractions ... The set of Real Numbers contains a series of subsets of other number systems.Because imaginary numbers are, as you say, imaginary, there is no way of comparing them to real numbers. We cannot plot them on a real number line or a real ...A point on the real number line that is associated with a coordinate is called its graph. To construct a number line, draw a horizontal line with arrows on both ends to indicate that it continues without bound. Next, choose any point to represent the number zero; this point is called the origin. Figure 1.1.2 1.1. 2. An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0. Example: √2, √3, √5, √11, √21, π (Pi) are all irrational.What do the different numbers inside a recycling symbol on a plastic container mean? HowStuffWorks investigates. Advertisement Plastics aren't so great for the environment or our health. Unfortunately, a lot of consumer goods are enclosed i...Sep 12, 2022 · Let a and b be real numbers with a < b. If c is a real positive number, then ac < bc and a c < b c. Example 2.1.5. Solve for x: 3x ≤ − 9 Sketch the solution on the real line and state the solution in interval notation. Solution. To “undo” multiplying by 3, divide both sides of the inequality by 3. The symbols contained in P&IDs represent the equipment in the process such as actuators, sensors, and controllers. Process equipment such as valves, instruments, and pipelines are identified by codes and symbols. As well as devices and pipelines, a P&ID will commonly contain information on vents, drains, and sampling lines as well as …Jun 20, 2022 · for every real number $a$ there is a unique number, called the additive inverse (or opposite), denoted $-a$; which, when added to the original number, results in the additive identity, 0; in symbols, $ a + (-a) = 0 $ Complex Numbers. A combination of a real and an imaginary number in the form a + bi, where a and b are real, and i is imaginary. The values a and b can be zero, so the set of real numbers and the set of imaginary numbers are subsets of the set of complex numbers. Examples: 1 + i, 2 - 6 i, -5.2 i, 4.Because the graph does not include any negative values for the range, the range is only nonnegative real numbers. Figure $\PageIndex{16}$: Cubic function $f(x)-x^3$. For the cubic function $f(x)=x^3$, the domain is all real numbers because the horizontal extent of the graph is the whole real number line. The same applies to the vertical ... The old systems took a long time to dial 10 or 11 numbers (like 1-248-896-8587) and connection problems were starting to mount up. ... So, it’s pretty likely that programmers, used to seeing the “real” pound sign next to it, started calling that symbol “pound” as well. SHARE TWEET PIN. Previous post; Next post; About the Author.Recent events are the culmination of a decades-long clash in the disputed region of the Middle East As with almost everything to do with this conflict, it depends on whom you ask. Some will begin ....

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