What is the Locus of Re[z^2]>1?

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In summary, an "Again Locus with complex nos" is a genetic locus that contains complex numbers representing alleles of a gene. It differs from a regular genetic locus in that it can have more complex variations and implications for inheritance and genetic disorders. These loci are identified and studied through techniques such as genome sequencing. They can also be inherited, potentially leading to a wider range of traits within a population.
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Homework Statement


Find the locus of [tex]Re[z^2]>1[/tex]


Homework Equations





The Attempt at a Solution


Subbing in [tex]z=x+iy[/tex] gives [tex]x^2-y^2>1[/tex], but where do I go from there on. It shouldn't be very tough (i.e. including analysis of functions) because the other examples in the same problem are easy.
 
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Well can you graph [tex]x^2-y^2=1[/tex]? It should be clear where it is more than 1 either by intuition or testing some easy points such as (0,0) versus (2,0).
It is the graph of a hyperbola by the way.
 

FAQ: What is the Locus of Re[z^2]>1?

What is an "Again Locus with complex nos"?

An "Again Locus with complex nos" is a scientific term used to describe a specific type of genetic locus, or location on a chromosome, that contains complex numbers. These complex numbers represent the alleles, or alternative forms, of a gene that can have multiple variations within a population.

How is an "Again Locus with complex nos" different from a regular genetic locus?

An "Again Locus with complex nos" is different from a regular genetic locus because it contains complex numbers instead of just simple, single-digit numbers. This means that the gene at this locus can have multiple variations, or alleles, that are more complex and potentially have a wider range of effects.

What is the significance of finding an "Again Locus with complex nos"?

The discovery of an "Again Locus with complex nos" can have significant implications for understanding genetic inheritance and the diversity of traits within a population. It can also provide insights into the complexity of genetic disorders and diseases.

How are "Again Locus with complex nos" identified and studied?

Scientists use various techniques, such as genome sequencing and genetic mapping, to identify and study "Again Locus with complex nos". These methods allow researchers to analyze the DNA sequence and identify complex numbers within a specific genetic locus.

Can "Again Locus with complex nos" be inherited?

Yes, "Again Locus with complex nos" can be inherited just like any other genetic locus. The specific alleles at this locus can be passed down from parents to offspring, potentially leading to a wider range of traits and characteristics within a population.

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