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Where do you find complex numbers in algebra?
Certain functions, when solving to find the zeros (value which makes the function equal zero), the only value which will work has an imaginary component. Note that a parabola (graph of a quadratic or 2nd order polynomial) can touch the x-axis at a single point, or 2 points or no points. If it does not touch or cross the x-axis, then the root (or zeros) of the function are complex with imaginary components.Technically, all real numbers are a subset of complex numbers, so all numbers are complex - but this is not how we normally refer to them. We usually say that a number is real, or it is imaginary, or it is complex.
Which mathematician best known for his work in geometry discovery that there is an infinite number of prime numbers?
Leonhard Euler
What subjects did Euclid's book Elements cover?
Euclid's Elements covered different topics that included plane geometry, solid geometry, and theory of numbers. This mathematical work consisted of thirteen books. Euclid lived between 325 and 270 B.C. and is regarded as the founder of geometry.
What advances did the chaldeans make?
The advances that Chaldeans made were calendars and solving complex problems of geometry
What are several tissue that work together to perform a complex function called?
An organ.
What type of geometry did René Descartes work on?
Analytic geometry.
Does the parallel postulate in Euclidean geometry work in spherical geometry?
No.
Can you figure out two complex numbers that when mulitplied together become a real number?
3 and 5 are both complex numbers, and if you multiply them together, you get 15, which is a real number. If you were looking for two non-real complex numbers, then any pair of complex conjugates will work. For example, 5+2i times 5-2i is 29.
Why is Euclid considered the father of geometry?
Because he contributed most to geometry. His work can be found in the Elements. It is divided into 13 books. Books 1-6 dealing with plane geometry. Books 7-8 about number theory. Book 9 on irrational numbers. While books 10-13 about three-dimensional geometry. answered by-G.L.R.-
Contribution in geometry of Aristotle geometry?
Aristotle considered geometry one of the most important sciences, and did some work with point and line planar geometry. He also used geometry as a way into sciences where he did more work, like optics and mechanics.
Where did complex and imaginary numbers come from?
The 16th century Italian mathematician, Gerolamo Cardano was the first to use imaginary and complex numbers in his work on cubic equations.
Why is it important to ensure that no one ignorant of geometry enters?
It is important to ensure that no one ignorant of geometry enters because geometry is a fundamental branch of mathematics that is essential for understanding and solving complex problems in various fields such as engineering, architecture, and physics. Without a basic understanding of geometry, individuals may struggle to comprehend and apply important concepts, leading to errors and inefficiencies in their work.
How is Euclid's work used today?
Euclid's work was geometry, many jobs use geometry such as engineers and architecture
What adds to 7 and multiples to 294?
There are no two real numbers that do, but two complex numbers do: (3.5 + i 3.5 √23) and (3.5 - i 3.5 √23) If you want them to add to 7 and multiply to -294, then the two real numbers -14 and 21 work. Or if you want them to add to -7 and multiply to -294, then the two real numbers 14 and -21 work. To add to -7 and multiply to 294, the following two complex numbers work: (-3.5 + i 3.5 √23) and (-3.5 - i 3.5 √23)
How are complex numbers used in every day life?
Complex numbers are not used in everyday life, unless you work in some very specific areas, including electrical engineering, or nuclear physics, where those numbers are required, or want to work with fractal art, for example.Complex numbers are not used in everyday life, unless you work in some very specific areas, including electrical engineering, or nuclear physics, where those numbers are required, or want to work with fractal art, for example.Complex numbers are not used in everyday life, unless you work in some very specific areas, including electrical engineering, or nuclear physics, where those numbers are required, or want to work with fractal art, for example.Complex numbers are not used in everyday life, unless you work in some very specific areas, including electrical engineering, or nuclear physics, where those numbers are required, or want to work with fractal art, for example.
How does the highvalue function in Excel work?
Excel does not have a HIGHVALUE function. It does have a MAX function that finds the largest number in a range.The MAX function returns the largest value from the numbers provided.MAX(number1,number2,...number_n)number1, number2, ... number_n are numeric values - they can be numbers, named ranges, arrays, or references to numbers. There can be up to 30 values entered.
Does the Pythagorean theorem work with Euclidean and Hyperbolic geometry?
It works in Euclidean geometry, but not in hyperbolic.
Who was the mathmitition created geometry?
Geometry has been studied in every civilization that we have written records of. In that sense, no mathematician can have created geometry. Euclid is generally recognized as having pioneered the use of the axiomatic method in mathematics. Of that work, his most famous is his work in geometry.
What mathematician's work is still the basis of courses in geometry?
The work of Euclid, often referred to as the "Father of Geometry," is still the foundation of geometry courses today. His seminal work, "Elements," systematically presented the principles of geometry and established a framework for mathematical proofs. Euclid's axiomatic approach and logical reasoning continue to influence the teaching and understanding of geometry in modern education.
What was Euclid's important contribution to the development of geometry?
Euclid's most significant contribution to geometry is his work "Elements," which systematically compiled and organized the knowledge of geometry of his time. In this thirteen-book series, he introduced axiomatic reasoning, establishing definitions, postulates, and propositions that laid the foundation for geometric proofs. His method of deducing complex geometrical truths from simple axioms influenced mathematical thought for centuries, making Euclid often referred to as the "father of geometry." His work remains a cornerstone in the study of mathematics, illustrating the power of logical reasoning.
