Relation trace of a matrix and minimum value of a polynomial function?

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Relation between DC gain and poles of a system?

What is the reason that when we minimize the dc gain of the asymptotically stable LTI system, the poles of the system is shifted in left-hand side or the transient response of the system is...

01 February 2018 9,258 4 View

How to formulate statefeedback with uncertainty as LMI problem?

I want to formulate this problem in LMI, so that i can solve using LMIEDIT toolbox of matlab. Here A and B are system matrix, and deltaA is uncertainty in the A matrix, the value of deltaA is not...

01 February 2018 2,572 2 View

How to find a Lyapunov function candidate using SOSTOOLS and Sedumi ?

I m trying to find a lyapunov function candidate using sostools, the example given in SOSTOOL Box is working, but the program works only when there exists a global lyapunov function. Also i want...

06 July 2017 9,171 1 View

What is the difference between mathematical R^4 space and physical 4D unit space?

We assume that the difference is huge and that it is not possible to compare the two spaces. The R^4 mathematical space considers time as an external controller and the space itself is immobile in...

10 August 2024 6,678 14 View

How to define an anisotropic material with asymmetric elastic compliance/stiffness matrix in ANSYS APDL?

I need to model an anisotropic material in which the Poisson's ratio ν_12 ≠ ν_21 and so on. Therefore, the elastic compliance matrix wouldn't be a symmetric one. In ANSYS APDL, for TB,ANEL...

09 August 2024 5,048 2 View

Is it true that $\det(V(A))$ may be only $\pm 1$, depending on $n$, for the last symmetric tridiagonal matrix $A$?

One can try to generalize the Vandermonde determinant in the following direction: Let $A$ be any symmetric $n$-order square matrix. Consider its powers' diagonal elements $(A^k)_{ii}$ and...

08 August 2024 6,690 1 View

Usage of internal standards in LC-MS/MS analysis?

Have you ever seen a LC-MS/MS method uses both internal standards and external standards (in matrix matching purpose) but the concentrations of internal standards are outside the calibration curve...

05 August 2024 3,084 6 View

Request a single Lecture notes for math as detailed as this that I can find in one place?

- The Existence/Uniqueness of Solutions to Higher Order Linear Differential Equations - Higher Order Homogenous Differential Equations - Wronskian Determinants of $n$ Functions - Wronskian...

03 August 2024 2,366 0 View

How to load and plot 2D-PIV (particle image velocimetry) recorded velocity vector field in Techplot?

Dear Researchers I need to know, how to load and plot 2D-PIV (particle image velocimetry) recorded velocity vector field data in Tecplot? Thank You

02 August 2024 3,615 1 View

Tissue homogenization in mouse with FastPrep-24™ 5G - is the D matrix system useful?

I need to lyse and homogenise mouse tissues. So far I have experimented with liver and lung tissue, using matrix D. The liver was completely lysed with 6 repetitions of the standard program, but...

31 July 2024 9,186 0 View

Is it true that science is leaving the era of mathematics and entering the era of matrix mechanics?

We assume this to be true. Science leaves the era of mathematics and enters the era of matrix mechanics and the turning point is the discovery of numerical statistical theory called Cairo...

31 July 2024 3,900 2 View

Transfection in HEK293T cells?

Dear All, I am trying to transfect a pCDNA3.1 vector containing my gene of interest. The purpose is to figure out the localization of the protein of interest. I have fused the protein with GFP on...

31 July 2024 9,892 4 View

Help on understanding the implementation of Mori Tanaka method on MATLAB?

I am new to Micromechanics and having similar problem with understanding the implementation of the formula's. I would appreciate if anyone can guide me on how to go about getting a scalar value...

30 July 2024 969 0 View