In differential geometry, the Frenet–Serret formulas describe the kinematic properties of a particle moving along a differentiable curve in three-dimensional Euclidean space R3, or the geometric properties of the curve itself irrespective of any motion. More specifically, the formulas describe the derivatives of the so-called tangent, normal, and binormal unit vectors in terms of each other. The formulas are named after the two French mathematicians who independently discovered them: Jean Frédéric Frenet, in his thesis of 1847, and Joseph Alfred Serret, in 1851. Vector notation and linear algebra currently used to write these formulas were not yet available at the time of their discovery.
The tangent, normal, and binormal unit vectors, often called T, N, and B, or collectively the Frenet–Serret frame or TNB frame, together form an orthonormal basis spanning R3 and are defined as follows:
T is the unit vector tangent to the curve, pointing in the direction of motion.
N is the normal unit vector, the derivative of T with respect to the arclength parameter of the curve, divided by its length.
B is the binormal unit vector, the cross product of T and N.The Frenet–Serret formulas are:
d
T
d
s
=
κ
N
,
d
N
d
s
=
−
κ
T
+
τ
B
,
d
B
d
s
=
−
τ
N
,
{\displaystyle {\begin{aligned}{\frac {d\mathbf {T} }{ds}}&=\kappa \mathbf {N} ,\\{\frac {d\mathbf {N} }{ds}}&=-\kappa \mathbf {T} +\tau \mathbf {B} ,\\{\frac {d\mathbf {B} }{ds}}&=-\tau \mathbf {N} ,\end{aligned}}}
where d/ds is the derivative with respect to arclength, κ is the curvature, and τ is the torsion of the curve. The two scalars κ and τ effectively define the curvature and torsion of a space curve. The associated collection, T, N, B, κ, and τ, is called the Frenet–Serret apparatus. Intuitively, curvature measures the failure of a curve to be a straight line, while torsion measures the failure of a curve to be planar.
Announcement ko lang may update na ngayon si FREENET as of now May 9 hanggang may 31 lang po pwede I convert yung points na nakuha niyo sa freenet. Pwede niyo pa iredeem yun mas maraming points mas masaya kaya mag redeem na kayo. Para makapagredeem kayo ng points
Text P2P2 YES pumili nalanv...
Guys working ba sainyo Gswitch..
Using injector luzon area..
Ako po kasi tm user. Wala po ako load
So o try to accept offer sa Gswitch.
Playstore and Aov so 170mb total.
And gumawa po ako ng ehi gumana po sakin.
.
Help po 1 is to 1 po ba yung bawas nun..
.
Prefix Tm 0905
Hello guys
Minsan lang ako makapag share for free internet pero sulit naman para sa user
Friendly WIFI
Friendly FB1D for Redeemtion
Friendly for any promo
Friendly no load needed
Magsawa ka sa kaka internet.
So ano pa ginahintay niyo.?
Ito na guys.
Hindi ko strictly kagaya sa iba na may...
kasi sa search po walang thread na bgu puro luma na yung tricks for pc. hindi ko kasi makita mga boss.
or bka wala po working ngeon na pang pc?
pero tanung lng po san po ba mismo yung sub forum ng internet for pc.salamat in advance:)
No Load / No Promo
Smart ehi config Updated: May 6, 2017
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Expiry Date inside config
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Sana magustuhan nyo
Eto mga ka PH hataw sa bilis talaga hehe pwede pang "gaming" itong config na to
full proof see screenshots. Tested ito sa nagdownload ng config...
Bagong gawa po ni boss stiffen maraming salamat po sa kanya (y)
May injected settings na po at sa tingin ko po ay for all networks po ito dahil makikita niyo po na may option po ito for tnt sim,smart sim,sun sim,globe sim & TM sim.
Pasensiya na po sa smart,sun,globe & TM users dahil hindi ko...