Differential calculus is used to find rates of change in the grade of a slope or a curve. Mathematicians typically use a combination of integral and differential calculus in solving their problems. Let's look at an example. Imagine that you need to push a box up a hill on a smooth, ...
Mathematically, the p-value is calculated using integral calculus from the area under the probability distribution curve for all values of statistics that are at least as far from the reference value as the observed value is, relative to the total area under the probability distribution curve. Sta...
(For an explanation of what is going on under the assumption of the Lindelöf hypothesis, see below the fold.) This plot represents the combined effort of nearly a dozen papers, each one of which claims one or more components of the depicted piecewise smooth curve, and is written in the...
[Calculus 1]What is the difference between a removable and non-removable discontinuity? … If the limit doesnotexist, then thediscontinuityisnon–removable.Inessence, if adjusting the function’s value solely at the pointof discontinuitywill render the function continuous, then thediscontinuityisremovabl...
In this paper, smooth curve models of meminductor and memcapacitor are designed, which are generalized from a memristor. Based on these models, a new five-... F Yuan,G Wang,X Wang - 《Chaos》 被引量: 4发表: 2017年 加载更多来源期刊 IEEE Transactions on Circuits & Systems II Express Bri...
In geometry, Arc is the part of circumference of a circle. It is a smooth curve with two end points. The length of the arc that subtend an angle (θ) at the center of the circle is equal 2πr(θ/360°). Learn more about arc at BYJU’S.
I didn’t fully succeed; but I think the approach I outline below is in principle feasible. The manifold I will work on is a cylinder , where is a smooth compact manifold, and the metric on is just the sum of the standard metric on the first coordinate and : (I have experimented...
If C is a closed curve that encloses a current I, then Ampere's Law states that B middot dr = mu0 I, where mu0 is the magnetic permeability of the medium. The law says that the magnetic field induced by the current, when integrated along the closed loop C is proportional to the ...
The curve may be curved or straight. A particle can move at non-constant speed in a straight line. So the rate of change of the position vector is related to the parametrization of the curve? I think I get it. So if we have x = t, y = t^2, z = t^3, then the tangent ...
Given a smooth complex -dimensional projective variety there is a standard line bundle attached to it, known as the canonical line bundle; -forms on the variety become sections of this bundle. The bundle may not actually admit global sections; that is to say, the dimension of global sections...