Summation Sign

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The Experts below are selected from a list of 30 Experts worldwide ranked by ideXlab platform

Ben Armstrong - One of the best experts on this subject based on the ideXlab platform.

Noah Scovronick - One of the best experts on this subject based on the ideXlab platform.

F.o. Simons - One of the best experts on this subject based on the ideXlab platform.

  • Discrete step-sifting theorems for Signal and system analyses
    [1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory, 1
    Co-Authors: R.c. Harden, F.o. Simons
    Abstract:

    Generalized step sifting theorems (GSSTs) that can be used to sift unfolded and folded step functions through the Summation Sign are presented. The theorems are shown to result in an unsegmented answer that contains step function multipliers that turn the terms on or off at the proper times. The simplified step sifting theorem for unfolded functions (SSST-UF), together with the step sifting theorem for convolution (SST-C) and the identity delta /sub 1/(-n)=1- delta /sub 1/(n-1), can be used to solve all piecewise convolution problems easily without the need for sketches. The GSST-UF is easiest to remember and can be used for folded functions by using the above identity. The SSST-UF proves to be the most useful (applicable about 90% of the time). These theorems can greatly reduce the labor involved in Signal and system analysis and lead to more meaningful insight and solutions. >

Sushil Yadav - One of the best experts on this subject based on the ideXlab platform.

  • Resonance in a geo-centric synchronous satellite under the gravitational forces of the Sun, the Moon and the Earth including it’s equatorial ellipticity
    Astrophysics and Space Science, 2013
    Co-Authors: Rajiv Aggarwal, Sushil Yadav
    Abstract:

    Resonances in a geo-centric synchronous satellite under the gravitational forces of the Sun, the Moon and the Earth including it’s equatorial ellipticity have been investigated. The resonance at two points resulting from the commensurability between the mean motion of the satellite and Γ (angle measured from the minor axis of the Earth’s equatorial ellipse to the projection of the satellite on the plane of the equator) is analyzed. The amplitude and the time period of the oscillation have been determined by using the procedure of Brown and Shook. We have observed that the amplitude and the time period of the oscillation decrease as Γ increases in the first quadrant. The radial deviation (Δr) and the tangential deviation (r c Δθ) have been determined. Here r c represents the synchronous altitude. The effects of the arithmetic sum of amplitudes λ i involved in the perturbation equations on orbital inclination 0∘≤α 0≤90∘ are shown. It is observed that \(\sum_{i = 1}^{46} \lambda_{i}\) increases as α 0 increases. We have also determined the displacement ΔD (called drift) due to the oscillatory terms under the Summation Sign involved in the equations of motion of the satellite. We have observed that the value of ΔD is less than 0.5∘.

R.c. Harden - One of the best experts on this subject based on the ideXlab platform.

  • Discrete step-sifting theorems for Signal and system analyses
    [1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory, 1
    Co-Authors: R.c. Harden, F.o. Simons
    Abstract:

    Generalized step sifting theorems (GSSTs) that can be used to sift unfolded and folded step functions through the Summation Sign are presented. The theorems are shown to result in an unsegmented answer that contains step function multipliers that turn the terms on or off at the proper times. The simplified step sifting theorem for unfolded functions (SSST-UF), together with the step sifting theorem for convolution (SST-C) and the identity delta /sub 1/(-n)=1- delta /sub 1/(n-1), can be used to solve all piecewise convolution problems easily without the need for sketches. The GSST-UF is easiest to remember and can be used for folded functions by using the above identity. The SSST-UF proves to be the most useful (applicable about 90% of the time). These theorems can greatly reduce the labor involved in Signal and system analysis and lead to more meaningful insight and solutions. >