Sentence examples for corresponding an from inspiring English sources
and each eigenvalue corresponding an essential unique eigenfunction which has exactly simple zeros in and is positive near 0. Fortunately, Elias [6] developed a theory on the eigenvalue problem (1.6).
In [18], using Liouville-Caputo derivatives the Euler-Lagrange equations corresponding an oscillator were stated as a series formulation; in [19] the fractional simple pendulum was studied using a fractional space representation.
With dimensionless height and force introduced to simplify the nonlinear parallel plate problem, a simple cubic equation implying behavior of the height of the movable plate corresponding an applied voltage has been derived and theoretically solved to provide closed-form solutions of the movable plate height, effective stiffness, resonant frequency, capacitance and their sensitivities to voltage.
(iii) To each eigenvalue there corresponding an essential unique eigenfunction which has exactly simple zeros in and is positive near 0. (iv) Given an arbitrary subinterval of, then an eigenfunction which belongs to a sufficiently large eigenvalue change its sign in that subinterval.
and each eigenvalue corresponding an essential unique eigenfunction ψ k which has exactly k - 1 simple zeros in (0,1) and is positive near 0. Fortunately, Elias [7] developed a theory on the eigenvalue problem ℒ y + λ h ( t ) y = 0, ( ℒ i y ) ( a ) = 0, i ∈ { i 1, …, i k }, ( ℒ j y ) ( b ) = 0, j ∈ { j 1, …, j n - k }, (1.10).
The confocal images were taken with the LSM 510 (Laser Scanning Microscope, Carl Zeiss MicroImaging GmbH) by using a pinhole Ø 1,00 Airy Units (corresponding an optical slice <0,8 µm) without using Z-stacks.
Chinese Spring in the corresponding A, B and D genomes.
Or they could summon up a specific smell corresponding to an image on the screen.
To help users find public drinking water sources, he also created a corresponding app called Find-a-Fountain.
I often say my affirmations with a corresponding crystal for an extra positive and magical boost.
