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 WIRED Meet The Four-Dimensional Numbers That Led to Modern AlgebraWIREDThey took the first steps off that line and into the “complex plane,” where misleadingly named “imaginary” numbers couple with real numbers like capital letters pair with numerals in the game of Battleship. In this planar world, “complex numbers ...

 The Weekly Standard Seeing the Sublime in MathematicsThe Weekly StandardComing to grips with i requires overcoming a regrettable piece of terminology too old to change: “imaginary number.” i is called “imaginary” because it is assumed, by fiat, to satisfy the equation i× i = −1, even though none of the numbers we're used ...

 Nature.com 'Grand unified theory of maths' nets Abel PrizeNature.comThe Canadian mathematician Robert Langlands has won the 2018 Abel Prize — one of mathematics' most-prestigious awards — for discovering surprising and far-ranging connections between algebra, number theory and analysis, the Norwegian Academy ...and more »

 Florida Politics (blog) Ad: Greyhound industry has 'no shame,' racing ban supporters sayFlorida Politics (blog)Supporters of the proposed constitutional ban on greyhound racing have a new video ad highlighting the number of positive drug tests on dogs. The ad, posted on YouTube, asserts that “in the past decade, Florida racing greyhounds have tested drug ...

 Irish Times The Irish man who discovered quaternion algebraIrish TimesComplex numbers are numbers that are made up of a real number (numbers we're used to dealing with in everyday life to count or measure, like a temperature of -4 degrees) and an imaginary number (which can be written as a real number multiplied by an ...

 LiveScience.com What Are Imaginary Numbers?LiveScience.comAn imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value. While it is not a real number — that is, it cannot be quantified on ...

 Tamebay eBay invoice problems cause merchant confusionTamebayMy worry is they will at some point go back to the 12 month period where I have a high number of returns opened for not as described to try get money off and never sent it back or never read the item condition, yet now we can't appeal anything after 3 ...

 Hindustan Times The algebra of Alice: 152nd anniversary of Alice's Adventures in WonderlandHindustan TimesProjective geometry, imaginary numbers, quaternion were turning the old-world of algebra and geometry upside down. Mathematics was no longer tied to the ground insofar as it was becoming more abstract, and logic that appealed to Carroll and his ilk ...

 Mental Floss 10 Fascinating Facts About Lewis CarrollMental FlossHe wrote almost a dozen books that ranged from An Elementary Treatise on Determinants, With Their Application to Simultaneous Linear Equations and Algebraic Equations to The Game of Logic to The Theory of Committees and Elections. His interests and ...

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Internet Search Results

Imaginary number - Wikipedia
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i 2 = −1. The square of an imaginary number bi is −b 2.For example, 5i is an imaginary number, and its square is −25.Zero is considered to be both real and imaginary. Originally coined in the 17th century as a derogatory term and regarded as ...

Imaginary Number -- from Wolfram MathWorld
Imaginary Number. Although Descartes originally used the term "imaginary number" to refer to what is today known as a complex number, in standard usage today, "imaginary number" means a complex number that has zero real part (i.e., such that ).For clarity, such numbers are perhaps best referred to as purely imaginary numbers.. A (purely) imaginary number can be written as a real number ...

A Visual, Intuitive Guide to Imaginary Numbers ...
Imaginary numbers always confused me. Like understanding e, most explanations fell into one of two categories:. It’s a mathematical abstraction, and the equations work out. Deal with it. It’s used in advanced physics, trust us.

Imaginary Numbers - Friesian School
Imaginary Numbers. We have shown the symbol -a to be void of meaning, or rather self-contradictory and absurd.. Augustus De Morgan (1806-1871), Professor of Mathemtics, University College, London, 1831

Imaginary Numbers, How to simplify imaginary numbers ...
What is an imaginary number anyway? Imaginary numbers are based on the mathematical number $$i$$. $$i \text { is defined to be } \sqrt{-1}$$ From this 1 fact, we can derive a general formula for powers of $$i$$ by looking at some examples.

Imaginary unit - Wikipedia
The imaginary unit or unit imaginary number (i) is a solution to the quadratic equation x 2 + 1 = 0.Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers, using addition and multiplication.A simple example of the use of i in a complex number is 2 + 3i.. Imaginary numbers are an important mathematical concept, which ...

Complex Numbers: Introduction - Purplemath
Introduces the imaginary number 'i', and demonstrates how to simplify expressions involving the square roots of negative numbers. Warns about a common trick question.

How to Multiply Imaginary Numbers. Step by Step examples ...
How to mulitply imaginary numbers. Explained with examples and practice problems

Imaginary (Non-Real) and Complex Numbers – She Loves Math
You can also put complex expressions in the graphing calculator: (Note that the complex conjugate that we used to simplify a denominator with an imaginary number in it is similar to the radical conjugate we learned about here in the Introduction to Quadratics section.) Quadratic Formula with Complex Solutions. Now let’s solve a quadratic equation that has complex (imaginary) solutions.

Complex numbers | Algebra II | Math | Khan Academy
Learn about complex numbers and how to add, subtract, and multiply them. This will come in useful when working with polynomials.

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