The Science Forum - Mathematics
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The study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols.enTue, 22 Sep 2020 19:36:30 GMTvBulletin60http://www.thescienceforum.com/images/bluesaint/misc/rss.pngThe Science Forum - Mathematics
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Sum of two nonsense makes sense !!
http://www.thescienceforum.com/mathematics/49890-sum-two-nonsense-makes-sense.html
Sat, 19 Sep 2020 19:50:02 GMT = 0 index...]]>Hello everyone nothing,

Let the sequence (which has no meaning) Un defined by $$ Un = \lim_{x \to +\infty}sin^{2}nx $$ and n> = 0 index of the sequence.

Let the sequence (which has no meaning) Vn defined by $$ Vn = \lim_{x \to +\infty}\cos^{2}nx $$ and n> = 0 index of the sequence.

The sequence Un and Vn its term U0 U1 U2 ... and V0 V1 V2 .. point towards undetermined values and a limit which does not exist.

It is true that the values of U0 U1 U2 ... and V0 V1 and V2 .. are undetermined but the formulas to calculate them are well determined

Let the sequence (have a meaning) defined by the sum between Un and Vn.
$$ Sn = Un + Vn = \lim_{x \to +\infty}sin^{2}nx+ \cos^{2}nx =1 $$
with n> = 0 index of the sequence and x real.

The sequence Sn its term S0 S1 S2 ... point towards determined values and a limit which exists and equal to 1.

What do you think with two no meanings (Un and Vn) I built a meaning (Sn).
]]>MathematicsMath10http://www.thescienceforum.com/mathematics/49890-sum-two-nonsense-makes-sense.htmlvariable unit vectors?
http://www.thescienceforum.com/mathematics/49879-variable-unit-vectors.html
Wed, 16 Sep 2020 00:43:17 GMTHey! Just getting into linear algebra and Calc 3, and we're looking allot at unit vectors etc, but the vectors i,j,k etc or w (cross product of u and v) generally still use 1 as their base unit and scale linearly. Last week we got into linear transformations, and it got me thinking.... If a unit vector represented a scaling nonlinear formula that would do all kinds of crazy things! The most obvious example I could think of that reminded me of this was I imagine if the unit vector represented something like a 1/inf at zero and scaled out, you'd almost have something representing spacetime fabric near black holes.

What other way though are nonlinear unit vectors used in real life applications though? It seems like such an interesting concept.
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