英语词汇“irrational number”造句子简单的方法、技巧、例句及翻译-英语例句辞典

These irrational numbers were an unavoidable consequence of Greek mathematics. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z

And so, in that Greek letter that looks like a shack with a corrugated tin roof, in that elusive, irrational number with which scientists try to understand the universe, I found refuge. Life of Pi 2001-09-01T00:00:00Z

To add insult to injury, the Pythagoreans soon discovered that the golden ratio, the ultimate Pythagorean symbol of beauly and rationality, was an irrational number. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z

However, irrational numbers, unlike zero, could not easily be ignored by the Greeks. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z

All other intervals are given by irrational numbers based on the twelfth root of two, not nice numbers that can be written as a ratio of two small whole numbers. Understanding Basic Music Theory 2018-01-28T00:00:00Z

Of course, given that pi is an irrational number, Life of Pi has not, in fact, sold exactly pi copies. The Life of Pi sells 3,141,593 copies, and counting … 2013-02-21T17:30:14Z

Mathematicians argue over the utility of irrational numbers. A big 'like' for Caryl Churchill's 'Love and Information' 2015-07-20T04:00:00Z

Even his studio is named for π, an “irrational number” that could be calculated for infinity without coming to a finite conclusion. A Chinese Artist Consumed by the Idea of Inevitable Change 2016-12-01T05:00:00Z

It’s a math term for irrational numbers with no square root. Kehinde Wiley Puts a Classical Spin on His Contemporary Subjects 2015-01-28T05:00:00Z

It's really like the irrational number of pi. For Ang Lee, all movies are a leap of faith 2012-11-19T22:31:05Z

The golden ratio refers to the mathematical expression of "1: phi," where phi is an irrational number, roughly 1.618. The African roots of Swiss design 2021-03-27T04:00:00Z

The baby boy’s nickname, Tau, was inspired by “the Greek letter representing the irrational number that is equal to two times pi,” the biography explains. Elon Musk confirms he and Grimes privately welcomed a third child, Techno Mechanicus 2023-09-10T04:00:00Z

In this way, an irrational number with an infinite number of decimal places will be obtained. Infinity Is Not Always Equal to Infinity 2023-07-13T04:00:00Z

Eventually she leads us toward more abstract concepts such as the polar coordinate system, a graphical approach to defining a point using distance and angle, as well as irrational numbers and decimals that repeat infinitely. Today’s Deep-Sea Explorers Are Mineral Miners and Ultrawealthy Hobbyists 2023-06-20T04:00:00Z

The real numbers are made up of the rational and irrational numbers. These Are the Most Bizarre Numbers in the Universe 2023-05-23T04:00:00Z

But instead the vectors had a ratio of the square root of 2—definitely an irrational number—showing that the polyiamond arrangements weren’t periodic. Newfound Mathematical ‘Einstein’ Shape Creates a Never-Repeating Pattern 2023-04-10T04:00:00Z

Many people have numbers like pi or √5—fun irrational numbers. Why 2 Is the Best Number and Other Secrets from a MacArthur-Winning Mathematician 2022-11-22T05:00:00Z

Pi Gaslight: A promising mathematician is almost driven mad by her jealous husband when he insists there is no such thing as an irrational number. Style Invitational Week 1513: You’re such a card 2022-11-03T04:00:00Z

Rational zeros can be expressed as fractions whereas real zeros include irrational numbers. College Algebra 2021-12-21T00:00:00Z

The rest of the numbers on the number line are irrational numbers. These Are the Most Bizarre Numbers in the Universe 2023-05-23T04:00:00Z

In your own words, explain the difference between a rational number and an irrational number. Intermediate Algebra 2020-05-06T00:00:00Z

Data that are not only made up of counting numbers, but that may include fractions, decimals, or irrational numbers, are called quantitative continuous data. Introductory Statistics 2013-09-19T00:00:00Z

Square roots of numbers that are not perfect squares are irrational numbers. Elementary Algebra 2020-04-22T00:00:00Z

No. The input represents time, so while nonnegative rational and irrational numbers are possible, negative real numbers are not possible for this example. Precalculus 2021-12-01T00:00:00Z

To understand this, we must take a closer look at the irrational numbers. These Are the Most Bizarre Numbers in the Universe 2023-05-23T04:00:00Z

Adding the irrational numbers allowed numbers like 5. Intermediate Algebra 2020-05-06T00:00:00Z

However, how is bx defined if x is an irrational number? Calculus, Volume 1 2016-03-30T00:00:00Z

In the following exercises, list the ⓐ whole numbers, ⓑ integers, ⓒ rational numbers, ⓓ irrational numbers, ⓔ real numbers for each set of numbers. Elementary Algebra 2020-04-22T00:00:00Z

These numbers make up the set of irrational numbers. Algebra and Trigonometry 2015-02-13T00:00:00Z

There’s no reason why pi, of all the infinitely many irrational numbers, should receive special treatment. Math Is More Than Just Numbers; Celebrate Pi Day a Different Way 2022-03-14T04:00:00Z

We will now look at an exponential function with an irrational number as the base. Intermediate Algebra 2020-05-06T00:00:00Z

The result is a contradiction, and thus the assumption is false: √2 is not a quotient of two integers, which means it is an irrational number. For Math Fans: Some Puzzles from Game of Life Creator John Conway 2021-04-28T04:00:00Z

The irrational numbers are numbers whose decimal form does not stop and does not repeat. Elementary Algebra 2020-04-22T00:00:00Z

The sets of rational and irrational numbers together make up the set of real numbers. Algebra and Trigonometry 2015-02-13T00:00:00Z

There are irrational numbers, like pi, that cannot be defined by fractions. Remembering Mathematical Magician John Conway 2020-04-20T04:00:00Z

Before we can look at this exponential function, we need to define the irrational number, e. Intermediate Algebra 2020-05-06T00:00:00Z

Why would nature care about the difference between rational and irrational numbers so much as to allow for fractional dimensions to be more than a mathematical oddity? The Coolest Physics You've Ever Heard Of 2020-01-20T05:00:00Z

Given the numbers −7, 14, 8, 5, 5.9, − 64, list the ⓐ whole numbers ⓑ integers ⓒ rational numbers ⓓ irrational numbers ⓔ real numbers. Elementary Algebra 2020-04-22T00:00:00Z

No. The input represents time so while nonnegative rational and irrational numbers are possible, negative real numbers are not possible for this example. Algebra and Trigonometry 2015-02-13T00:00:00Z

Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. New Proof Solves 80-Year-Old Irrational Number Problem 2019-09-16T04:00:00Z

The irrational number e is called the natural base. Intermediate Algebra 2020-05-06T00:00:00Z

Dr. Garibaldi decided to talk about a theorem he calls the unknowability of irrational numbers. The Unknowability of the Number Line 2019-01-12T05:00:00Z

When we put together the rational numbers and the irrational numbers, we get the set of real numbers. Elementary Algebra 2020-04-22T00:00:00Z

Is an example of a rational terminating, rational repeating, or irrational number? Algebra and Trigonometry 2015-02-13T00:00:00Z

Many people conceptualize irrational numbers by rounding them to fractions or decimals: estimating π as 3.14, which is equivalent to 157/50, leads to widespread celebration of Pi Day on March 14th. New Proof Solves 80-Year-Old Irrational Number Problem 2019-09-16T04:00:00Z

In the next example, the solutions will be irrational numbers. Intermediate Algebra 2020-05-06T00:00:00Z

We can keep drilling down: the irrational numbers can be subdivided further. The Unknowability of the Number Line 2019-01-12T05:00:00Z

The circumference of the quarter would be the diameter multiplied by Is the circumference of a quarter a whole number, a rational number, or an irrational number? Algebra and Trigonometry 2015-02-13T00:00:00Z

Consider a quest to approximate various irrational numbers. New Proof Solves 80-Year-Old Irrational Number Problem 2019-09-16T04:00:00Z

Sure, it’s a good introduction to the idea of irrational numbers, but tau would work just as well for that. Stop celebrating Pi Day, and embrace Tau as the true circle constant 2018-03-14T04:00:00Z

If the entire number line is uncountable, and the rational numbers are countable, then it stands to reason that the irrational numbers must be uncountable. The Unknowability of the Number Line 2019-01-12T05:00:00Z

If we get an irrational number as a solution to an application problem, we will use a calculator to get an approximate value. Elementary Algebra 2020-04-22T00:00:00Z

Determine whether the statement is true or false: The product of a rational and irrational number is always irrational. Algebra and Trigonometry 2015-02-13T00:00:00Z

Iowa is home to about 60 colleges and universities, including “an irrational number” of private institutions, said Steffen W. Schmidt, a professor of political science at Iowa State University. Iowa may now be everything for Bernie Sanders 2015-11-12T05:00:00Z

To recall the irrational number pi to more than 20,000 decimal points, memory champ Mark Aarøe Nissen crafted a narrative to connect each digit to some element of the story. Scientific American MIND Reviews "The Superhuman Mind" 2015-09-25T04:00:00Z

Even though the sets of rational and irrational numbers are both infinite, there are more irrational numbers, so the sets aren't exactly interchangeable. A Few of My Favorite Spaces: Cantor's Leaky Tent 2015-06-20T04:00:00Z

And why Pythagoras thought in reverse to prove that the square root of two was an irrational number. 5 Simple Notions That Help Solve Problems 2015-02-23T05:00:00Z

The rational numbers and irrational numbers make up the set of real numbers. Algebra and Trigonometry 2015-02-13T00:00:00Z

The golden ratio is the irrational number that is hardest to approximate with rational numbers. Strange Stars Pulsate According to the "Golden Ratio" 2015-02-09T05:00:00Z

It's actually more like 3.1415926, and can be calculated to many, many more digits because it's an irrational number. Pi Day: 6 (Healthy) Pie Recipes 2013-03-14T12:00:00Z

Nevertheless, the two planes each inherit the illusion of wallpaper structure, owing to the interplay between the so-called golden ratio, an irrational number which describes the directions of the two planes, and the Fibonacci numbers. How to Make Impossible Wallpaper 2013-03-08T16:15:00.573Z

The real numbers consist of the rational and the irrational numbers. An eternity of infinities: the power and beauty of mathematics 2013-01-23T00:45:00.190Z

Far less had they any notion of introducing irrational numbers, which are neither whole nor fractional, as we are obliged to do if we wish to say that all ratios are numbers. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z

But some irrational numbers are easy to approximate using rational numbers whereas others are hard. Strange Stars Pulsate According to the "Golden Ratio" 2015-02-09T05:00:00Z

But although irrational numbers have long been used without a qualm, it is only in quite recent years that logically satisfactory definitions of them have been given. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z

In that theory an irrational number was the ratio of two incommensurable geometric magnitudes. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z

We now define an irrational number as a certain class of ratios, thus constructing it logically by means of ratios, instead of arriving at it by a doubtful inference from them. Mysticism and Logic and Other Essays

The widened idea is that even when a or x is an irrational number we may speak of a or x unit lengths by measure. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z

“The golden ratio is special in that it is in some sense the most irrational of all irrational numbers,” Livio says. Strange Stars Pulsate According to the "Golden Ratio" 2015-02-09T05:00:00Z

Like this would be the square root of Pi or some combination of radicals and irrational numbers? Miscellaneous Mathematical Constants

In the modern theory of number irrational numbers are defined in a purely arithmetical manner, independent of the measurement of any quantities or magnitudes, whether geometric or of any other kind. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z

But there are more irrational numbers than there are whole numbers or fractions. Mysticism and Logic and Other Essays

There were now negative numbers, irrational numbers such as square roots, and imaginary numbers such as square roots of negative numbers. Our Legal Heritage : 600-1776 King Aethelbert - King George III

An irrational number is one that cannot be expressed as a ratio of whole numbers. Strange Stars Pulsate According to the "Golden Ratio" 2015-02-09T05:00:00Z

There were now negative numbers, irrational numbers, and imaginary numbers. Our Legal Heritage

There are probably exactly as many points in space as there are irrational numbers, and exactly as many points on a line a millionth of an inch long as in the whole of infinite space. Mysticism and Logic and Other Essays

单词	irrational number
例句	irrational number These irrational numbers were an unavoidable consequence of Greek mathematics. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z And so, in that Greek letter that looks like a shack with a corrugated tin roof, in that elusive, irrational number with which scientists try to understand the universe, I found refuge. Life of Pi 2001-09-01T00:00:00Z To add insult to injury, the Pythagoreans soon discovered that the golden ratio, the ultimate Pythagorean symbol of beauly and rationality, was an irrational number. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z However, irrational numbers, unlike zero, could not easily be ignored by the Greeks. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z All other intervals are given by irrational numbers based on the twelfth root of two, not nice numbers that can be written as a ratio of two small whole numbers. Understanding Basic Music Theory 2018-01-28T00:00:00Z Of course, given that pi is an irrational number, Life of Pi has not, in fact, sold exactly pi copies. The Life of Pi sells 3,141,593 copies, and counting … 2013-02-21T17:30:14Z Mathematicians argue over the utility of irrational numbers. A big 'like' for Caryl Churchill's 'Love and Information' 2015-07-20T04:00:00Z Even his studio is named for π, an “irrational number” that could be calculated for infinity without coming to a finite conclusion. A Chinese Artist Consumed by the Idea of Inevitable Change 2016-12-01T05:00:00Z It’s a math term for irrational numbers with no square root. Kehinde Wiley Puts a Classical Spin on His Contemporary Subjects 2015-01-28T05:00:00Z It's really like the irrational number of pi. For Ang Lee, all movies are a leap of faith 2012-11-19T22:31:05Z The golden ratio refers to the mathematical expression of "1: phi," where phi is an irrational number, roughly 1.618. The African roots of Swiss design 2021-03-27T04:00:00Z The baby boy’s nickname, Tau, was inspired by “the Greek letter representing the irrational number that is equal to two times pi,” the biography explains. Elon Musk confirms he and Grimes privately welcomed a third child, Techno Mechanicus 2023-09-10T04:00:00Z In this way, an irrational number with an infinite number of decimal places will be obtained. Infinity Is Not Always Equal to Infinity 2023-07-13T04:00:00Z Eventually she leads us toward more abstract concepts such as the polar coordinate system, a graphical approach to defining a point using distance and angle, as well as irrational numbers and decimals that repeat infinitely. Today’s Deep-Sea Explorers Are Mineral Miners and Ultrawealthy Hobbyists 2023-06-20T04:00:00Z The real numbers are made up of the rational and irrational numbers. These Are the Most Bizarre Numbers in the Universe 2023-05-23T04:00:00Z But instead the vectors had a ratio of the square root of 2—definitely an irrational number—showing that the polyiamond arrangements weren’t periodic. Newfound Mathematical ‘Einstein’ Shape Creates a Never-Repeating Pattern 2023-04-10T04:00:00Z Many people have numbers like pi or √5—fun irrational numbers. Why 2 Is the Best Number and Other Secrets from a MacArthur-Winning Mathematician 2022-11-22T05:00:00Z Pi Gaslight: A promising mathematician is almost driven mad by her jealous husband when he insists there is no such thing as an irrational number. Style Invitational Week 1513: You’re such a card 2022-11-03T04:00:00Z Rational zeros can be expressed as fractions whereas real zeros include irrational numbers. College Algebra 2021-12-21T00:00:00Z The rest of the numbers on the number line are irrational numbers. These Are the Most Bizarre Numbers in the Universe 2023-05-23T04:00:00Z In your own words, explain the difference between a rational number and an irrational number. Intermediate Algebra 2020-05-06T00:00:00Z Data that are not only made up of counting numbers, but that may include fractions, decimals, or irrational numbers, are called quantitative continuous data. Introductory Statistics 2013-09-19T00:00:00Z Square roots of numbers that are not perfect squares are irrational numbers. Elementary Algebra 2020-04-22T00:00:00Z No. The input represents time, so while nonnegative rational and irrational numbers are possible, negative real numbers are not possible for this example. Precalculus 2021-12-01T00:00:00Z To understand this, we must take a closer look at the irrational numbers. These Are the Most Bizarre Numbers in the Universe 2023-05-23T04:00:00Z Adding the irrational numbers allowed numbers like 5. Intermediate Algebra 2020-05-06T00:00:00Z However, how is bx defined if x is an irrational number? Calculus, Volume 1 2016-03-30T00:00:00Z In the following exercises, list the ⓐ whole numbers, ⓑ integers, ⓒ rational numbers, ⓓ irrational numbers, ⓔ real numbers for each set of numbers. Elementary Algebra 2020-04-22T00:00:00Z These numbers make up the set of irrational numbers. Algebra and Trigonometry 2015-02-13T00:00:00Z There’s no reason why pi, of all the infinitely many irrational numbers, should receive special treatment. Math Is More Than Just Numbers; Celebrate Pi Day a Different Way 2022-03-14T04:00:00Z We will now look at an exponential function with an irrational number as the base. Intermediate Algebra 2020-05-06T00:00:00Z The result is a contradiction, and thus the assumption is false: √2 is not a quotient of two integers, which means it is an irrational number. For Math Fans: Some Puzzles from Game of Life Creator John Conway 2021-04-28T04:00:00Z The irrational numbers are numbers whose decimal form does not stop and does not repeat. Elementary Algebra 2020-04-22T00:00:00Z The sets of rational and irrational numbers together make up the set of real numbers. Algebra and Trigonometry 2015-02-13T00:00:00Z There are irrational numbers, like pi, that cannot be defined by fractions. Remembering Mathematical Magician John Conway 2020-04-20T04:00:00Z Before we can look at this exponential function, we need to define the irrational number, e. Intermediate Algebra 2020-05-06T00:00:00Z Why would nature care about the difference between rational and irrational numbers so much as to allow for fractional dimensions to be more than a mathematical oddity? The Coolest Physics You've Ever Heard Of 2020-01-20T05:00:00Z Given the numbers −7, 14, 8, 5, 5.9, − 64, list the ⓐ whole numbers ⓑ integers ⓒ rational numbers ⓓ irrational numbers ⓔ real numbers. Elementary Algebra 2020-04-22T00:00:00Z No. The input represents time so while nonnegative rational and irrational numbers are possible, negative real numbers are not possible for this example. Algebra and Trigonometry 2015-02-13T00:00:00Z Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. New Proof Solves 80-Year-Old Irrational Number Problem 2019-09-16T04:00:00Z The irrational number e is called the natural base. Intermediate Algebra 2020-05-06T00:00:00Z Dr. Garibaldi decided to talk about a theorem he calls the unknowability of irrational numbers. The Unknowability of the Number Line 2019-01-12T05:00:00Z When we put together the rational numbers and the irrational numbers, we get the set of real numbers. Elementary Algebra 2020-04-22T00:00:00Z Is an example of a rational terminating, rational repeating, or irrational number? Algebra and Trigonometry 2015-02-13T00:00:00Z Many people conceptualize irrational numbers by rounding them to fractions or decimals: estimating π as 3.14, which is equivalent to 157/50, leads to widespread celebration of Pi Day on March 14th. New Proof Solves 80-Year-Old Irrational Number Problem 2019-09-16T04:00:00Z In the next example, the solutions will be irrational numbers. Intermediate Algebra 2020-05-06T00:00:00Z We can keep drilling down: the irrational numbers can be subdivided further. The Unknowability of the Number Line 2019-01-12T05:00:00Z In the following exercises, list the ⓐ whole numbers, ⓑ integers, ⓒ rational numbers, ⓓ irrational numbers, ⓔ real numbers for each set of numbers. Elementary Algebra 2020-04-22T00:00:00Z The circumference of the quarter would be the diameter multiplied by Is the circumference of a quarter a whole number, a rational number, or an irrational number? Algebra and Trigonometry 2015-02-13T00:00:00Z Consider a quest to approximate various irrational numbers. New Proof Solves 80-Year-Old Irrational Number Problem 2019-09-16T04:00:00Z Sure, it’s a good introduction to the idea of irrational numbers, but tau would work just as well for that. Stop celebrating Pi Day, and embrace Tau as the true circle constant 2018-03-14T04:00:00Z If the entire number line is uncountable, and the rational numbers are countable, then it stands to reason that the irrational numbers must be uncountable. The Unknowability of the Number Line 2019-01-12T05:00:00Z If we get an irrational number as a solution to an application problem, we will use a calculator to get an approximate value. Elementary Algebra 2020-04-22T00:00:00Z Determine whether the statement is true or false: The product of a rational and irrational number is always irrational. Algebra and Trigonometry 2015-02-13T00:00:00Z Iowa is home to about 60 colleges and universities, including “an irrational number” of private institutions, said Steffen W. Schmidt, a professor of political science at Iowa State University. Iowa may now be everything for Bernie Sanders 2015-11-12T05:00:00Z To recall the irrational number pi to more than 20,000 decimal points, memory champ Mark Aarøe Nissen crafted a narrative to connect each digit to some element of the story. Scientific American MIND Reviews "The Superhuman Mind" 2015-09-25T04:00:00Z Even though the sets of rational and irrational numbers are both infinite, there are more irrational numbers, so the sets aren't exactly interchangeable. A Few of My Favorite Spaces: Cantor's Leaky Tent 2015-06-20T04:00:00Z And why Pythagoras thought in reverse to prove that the square root of two was an irrational number. 5 Simple Notions That Help Solve Problems 2015-02-23T05:00:00Z The rational numbers and irrational numbers make up the set of real numbers. Algebra and Trigonometry 2015-02-13T00:00:00Z The golden ratio is the irrational number that is hardest to approximate with rational numbers. Strange Stars Pulsate According to the "Golden Ratio" 2015-02-09T05:00:00Z It's actually more like 3.1415926, and can be calculated to many, many more digits because it's an irrational number. Pi Day: 6 (Healthy) Pie Recipes 2013-03-14T12:00:00Z Nevertheless, the two planes each inherit the illusion of wallpaper structure, owing to the interplay between the so-called golden ratio, an irrational number which describes the directions of the two planes, and the Fibonacci numbers. How to Make Impossible Wallpaper 2013-03-08T16:15:00.573Z The real numbers consist of the rational and the irrational numbers. An eternity of infinities: the power and beauty of mathematics 2013-01-23T00:45:00.190Z Far less had they any notion of introducing irrational numbers, which are neither whole nor fractional, as we are obliged to do if we wish to say that all ratios are numbers. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z But some irrational numbers are easy to approximate using rational numbers whereas others are hard. Strange Stars Pulsate According to the "Golden Ratio" 2015-02-09T05:00:00Z But although irrational numbers have long been used without a qualm, it is only in quite recent years that logically satisfactory definitions of them have been given. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z In that theory an irrational number was the ratio of two incommensurable geometric magnitudes. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z We now define an irrational number as a certain class of ratios, thus constructing it logically by means of ratios, instead of arriving at it by a doubtful inference from them. Mysticism and Logic and Other Essays The widened idea is that even when a or x is an irrational number we may speak of a or x unit lengths by measure. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z “The golden ratio is special in that it is in some sense the most irrational of all irrational numbers,” Livio says. Strange Stars Pulsate According to the "Golden Ratio" 2015-02-09T05:00:00Z Like this would be the square root of Pi or some combination of radicals and irrational numbers? Miscellaneous Mathematical Constants In the modern theory of number irrational numbers are defined in a purely arithmetical manner, independent of the measurement of any quantities or magnitudes, whether geometric or of any other kind. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z But there are more irrational numbers than there are whole numbers or fractions. Mysticism and Logic and Other Essays There were now negative numbers, irrational numbers such as square roots, and imaginary numbers such as square roots of negative numbers. Our Legal Heritage : 600-1776 King Aethelbert - King George III An irrational number is one that cannot be expressed as a ratio of whole numbers. Strange Stars Pulsate According to the "Golden Ratio" 2015-02-09T05:00:00Z There were now negative numbers, irrational numbers, and imaginary numbers. Our Legal Heritage There are probably exactly as many points in space as there are irrational numbers, and exactly as many points on a line a millionth of an inch long as in the whole of infinite space. Mysticism and Logic and Other Essays
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