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Femme_physics
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You can't really do anything with them since they're not real. Did mathematicians come up with it to give students some junk study material to bulk up math?
Dory said:...to give students some junk study material to bulk up math?
Ahem... yes, I know it's imaginary and not imagery...:P the reason I typed imagery in is called indiscretion... and I can't edit title...By the way, it is imaginary - not imagery - numbers
The point of zero is to indicate nothing. But...that still doesn't answer my question.Phrak said:"What's the point of imagery numbers?"
What's the point of 'zero'?
You're confusing two pairs of homonyms -- the mathematical terms "real" and "imaginary" have pretty much nothing to do with the English words "real" and "imaginary".Dory said:You can't really do anything with them since they're not real. Did mathematicians come up with it to give students some junk study material to bulk up math?
Strictly speaking, this statement is only true if you are restricting your usage of the term "number" to refer to sets like the non-negative real numbers, or similar objects. (assuming I have interpreted your use of "only has" correctly.granpa said:strictly speaking a number only has magnitude.
Just because you can analyze doesn't mean you should analyze -- don't forget the importance of synthesis.A number with magnitude and direction is actually an ordered pair of numbers.
Dory said:You can't really do anything with them since they're not real. Did mathematicians come up with it to give students some junk study material to bulk up math?
Hurkyl said:You're confusing two pairs of homonyms -- the mathematical terms "real" and "imaginary" have pretty much nothing to do with the English words "real" and "imaginary".
LCKurtz said:They are just as real as the "real" numbers are.
Mentallic said:Imaginary numbers are useful, but this doesn't change the fact that they're still imaginary.
Dory said:You can't really do anything with them since they're not real. Did mathematicians come up with it to give students some junk study material to bulk up math?
Mentallic said:negative square root of 1 is [tex]-\sqrt{1}[/tex] which isn't the same as square root of negative 1
"None!" would be the answer given both by someone who refuses to acknowledge the complex numbers, and by someone who interpreted the domain of f as being real numbers.JonF said:I’ll answer your question if you tell me for f(x)=x^2 + 1 what values f(x)= 0
And then my answer to them would be, wouldn’t it be useful to be able to solve this problem?Hurkyl said:"None!" would be the answer given both by someone who refuses to acknowledge the complex numbers, and by someone who interpreted the domain of f as being real numbers.
(of course, the latter would acknowledge that extending the domain to the complex numbers is useful, and there there would be two roots)
JonF said:And then my answer to them would be, wouldn’t it be useful to be able to solve this problem?
Yes, that's what I said in response #8.JonF said:I thought complex numbers also came about as a precursor to Galois theory, since the general solutions for 3rd and 4th degree have complex components.
The use of imagery numbers in scientific research allows for a more objective and quantitative analysis of data. It provides a way to measure and compare visual information, which can be more effective than subjective descriptions.
Imagery numbers are typically calculated using specialized software or algorithms that analyze digital images. This process involves converting the visual data into numerical values based on specific parameters and algorithms.
Imagery numbers can represent a wide range of data, including color, texture, shape, and size. They can also be used to quantify changes over time, such as in satellite imagery or medical imaging.
The use of imagery numbers can greatly improve the accuracy of scientific research by providing more precise and standardized measurements. This allows for better comparisons between studies and reduces the potential for human error or bias in data analysis.
While imagery numbers can be a valuable tool in scientific research, they also have limitations. These numbers may not always accurately reflect the complexity of visual data, and their interpretation can be influenced by the specific parameters and algorithms used. Additionally, the quality of the original image can also affect the accuracy of the imagery numbers.