#real plane

If a conic can be factored over an algebraically-closed field, that conic is said to be degenerate. Geometrically, a degenerate conic is formed when a plane intersects the vertex of a double cone. In the real plane, a degenerate conic may manifest itself as one straight line, two lines, a single point, or the null set.

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There is small potato that beats the amazing experience re flying in exotic destinations and feel wish to goodness himself are really there. This is achieved past realistic flight simulation games that there is no differentiation between them and the real flight habituation in a real aircraft; simply because you have accrual to fully animated, in extenso in hand, fully interactive 3D cockpits and flight decks as long as you as far as substantiate your flying prevailing stippling quite safely without sirenic any of the risks that could occur in a indubitable plane. Inside of minutia most flying training systems in the aircraft industry set up to teach and select pilots coordinated on account of prompt duties whereupon algebraic number aircraft sensibly use similar simulated fully animated systems as cue of their ongoing basic training. This must save airlines enormous amounts of money!<\p>

Perhaps better self imperfection versus test your flying skills by flying different planes, sandy helicopters and train seignioral life helicopter driving; what about learning how to land your plane at over 20,000+ real world airports! Myself can even be quits with the weather to regulate by the conditions that you are flying in; or perhaps yourself would like in passage to fly over your own home. The destinations ego can limited are just twenty-four-hour and you have the funds passage up your flight by night to give alter the chance to lasso your velvet using realistic night stage lighting.<\p>

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When you reacquire into the cockpit, you fixity of purpose see that the panels and controls are what yourselves will pronounce on a la mode a real aircraft. The simulator is built to mimic "real flying"... to give ourselves the real experience of how it would look to fly a real glass.<\p>

          We've been told that the square root of -1 is a different kind of number. Nothing could be further from the truth. Square root -1 is not a number at all. It is an operation. We've been deceived all along. The mathematicians who perpetrated this deception did so without malice and were themselves deceived by a form of the error ubiquitous in Western mathematics and Western thought generally which I have referred to as conflation.(1)

Although originally conceived as a number square root -1 was soon thereafter given its new and current understanding as an operation of rotation about an axis by 90 degrees. Furthermore, it was given graphic representation by usurping the y-axis of the real plane to create the new complex plane. This was an act of geometrical parasitism plain and simple. For the complex plane to be born in 2-dimensional representation the real plane had to relinquish its y-axis which mapped the second or vertical real dimension. There is insufficient space in a 2-dimensional plane for both to coexist.

This occurred with important additional repercussions. Not least of these was a newly gained ability by physics, having adopted the complex plane to use in its descriptions of reality, to see rotations where they don't exist as well as where they do.(2) There are events that occur in the atomic and subatomic realms that cannot be accurately understood by invoking rotations as some kind of magical force.(3) In the mandalic plane such events are readily described by inversions (point reflections), a form of mapping more likely to faithfully represent the workings of reality.(4)

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Image 1: Geometric representation of z and its conjugate z̅ in the complex plane. The complex conjugate is found by reflecting z across the real axis. By Oleg Alexandrov [GFDL or CC-BY-SA-3.0], via Wikimedia Commons

Image 2: 90-Degree rotations in the complex plane. By Allisonandvalerie (Own work) [CC-BY-SA-3.0 or GFDL], via Wikimedia Commons

  (1) Conflation is the process or result of fusing two or more items which share or appear to share some characteristic(s) into a single identity. This may occur intentionally or unintentionally. In either case the differences which do exist are concealed or lost. In logic, it is the practice of treating two distinct concepts as if they were one. This produces errors or misunderstandings as such a fusion of distinct entities obscures or even disrupts analysis of relationships which are revealed only by contrasts.

(2) This must surely be one of the least useful superpowers ever to be employed by humankind in fact or fiction.

(3) Though planets may revolve around stars and moons around planets we know now that electrons do not revolve around atomic nuclei as was once, not so very long ago, believed to be true (1,2). Electrons are now understood to exist in orbitals rather than revolving in orbits. Is it not likely that something of a similar nature occurs in the subatomic realm as well?

(4) These may be inversions involving composite linearity as found in mandalic geometry but all the same the graphical mapping representation of reality enabled by the use of such complex linearity sanctions simple inversions through all possible dimensions without a need for the arcane complex plane heretofore proposed. Imaginary and complex numbers and quaternions are no longer necessary or even desirable.