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/sci/ - Science & Math

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8477024 No.8477024 [Reply] [Original]

Am I right, when I hear "zero" to think "the place where the shapes meet"?

>If this distance term were to decrease to zero, the axis of symmetry would be the x value of the zero, indicating there is only one possible solution to the quadratic equation. Algebraically, this means that √b2 − 4ac = 0, or simply b2 − 4ac = 0 (where the left-hand side is referred to as the discriminant), for its term to be reduced to zero. This is simply one of three cases, where the discriminant can indicate how many zeros the parabola will have. If the discriminant were positive, the distance would be non-zero, and there will be two solutions, as expected. However, there is the case where the discriminant is less than zero, and this indicates the distance will be imaginary — or some multiple of the unit i, such that i = √−1 — and the parabola's zeros will be a complex number. The complex roots will be complex conjugates, and by definition cannot be entirely real, where the real part of the complex root will be the axis of symmetry, therefore geometrical interpretation is that there are no real values of x such that the parabola will be observed to cross the x-axis.

>> No.8477047

Bump

>> No.8477192

>>8477024
Which shapes? The zero's of function is where it equals zero

>> No.8477712
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8477712

>>8477192
yeah, that's what it means in a sterile math sense, but what does a solution of one of these equations mean in the context of the physical world?

>> No.8477790

>>8477712
Where the function equals 0

>> No.8479002

>>8477712
Depends on the context doesn't it?

>> No.8479228
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8479228

>>8479002
yes. am i right, in the context of objects in physical space, to think that a zero means the location in space where two objects of these dimensions described by the equation meet?

>> No.8479849

>itt spergmasters

>> No.8480696

>>8479228
Yes.

>> No.8480717

why dont they make math easier?

>> No.8481546

0 could mean anything. Take Abstract Algebra. You could have 2*3=0 and that be the top/side/bottom of a structure.

>> No.8481551

>>8480717
Can't make awesome scalable. If you could we'd all be amazing at everything all the time forever. Entropy the only constant really.

>> No.8481872

>>8480717
Life ain't easy padna.