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標(biāo)題: Titlebook: Differential Equations and Data Analysis; Aleksei Beltukov Textbook 2025 The Editor(s) (if applicable) and The Author(s), under exclusive [打印本頁]

作者: Auditory-Nerve    時間: 2025-3-21 18:30
書目名稱Differential Equations and Data Analysis影響因子(影響力)




書目名稱Differential Equations and Data Analysis影響因子(影響力)學(xué)科排名




書目名稱Differential Equations and Data Analysis網(wǎng)絡(luò)公開度




書目名稱Differential Equations and Data Analysis網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Differential Equations and Data Analysis被引頻次




書目名稱Differential Equations and Data Analysis被引頻次學(xué)科排名




書目名稱Differential Equations and Data Analysis年度引用




書目名稱Differential Equations and Data Analysis年度引用學(xué)科排名




書目名稱Differential Equations and Data Analysis讀者反饋




書目名稱Differential Equations and Data Analysis讀者反饋學(xué)科排名





作者: 表狀態(tài)    時間: 2025-3-21 23:45

作者: 誘導(dǎo)    時間: 2025-3-22 03:24

作者: Amorous    時間: 2025-3-22 06:25
https://doi.org/10.1007/978-1-349-00867-4atmospheric pressure, the exponential fits are very good. Linearization brings out unexpected similarity between convective cooling and RC-circuits which is called the electro-thermal analogy. More importantly, it justifies our narrow focus on linear ODE with constant coefficients.
作者: 女上癮    時間: 2025-3-22 09:15

作者: Condyle    時間: 2025-3-22 14:51

作者: Condyle    時間: 2025-3-22 17:07

作者: beta-cells    時間: 2025-3-22 21:13
,Linearized ODE and?Exponential Laws,atmospheric pressure, the exponential fits are very good. Linearization brings out unexpected similarity between convective cooling and RC-circuits which is called the electro-thermal analogy. More importantly, it justifies our narrow focus on linear ODE with constant coefficients.
作者: 艱苦地移動    時間: 2025-3-23 04:07
Discrete Fourier Transform,strated by its use for filtering out noise, comparing spectra of different data sets, and predicting periodic events, such as solar activity. The most important use of DFT, as far as the subject-matter of this book is concerned, is approximation of solutions of linear nonhomogeneous ODE with constant coefficients.
作者: 可行    時間: 2025-3-23 08:54
Fourier Series,st order scalar linear ODE with constant coefficients. We will now show that the exact solution can be easily found as a Fourier series. Finding Fourier series solutions of higher order ODE and matrix-vector systems is just as simple.
作者: 灰姑娘    時間: 2025-3-23 13:18
Fourier and Laplace Transforms, modeling. We give examples of computation for a circuit and a mass-spring system. We also show how to solve the heat equation on a line using the Fourier transform. Finally, we pay homage to Laplace transform which is closely related to Fourier transform and is very popular in engineering.
作者: Dawdle    時間: 2025-3-23 16:51

作者: CROW    時間: 2025-3-23 22:00

作者: 甜得發(fā)膩    時間: 2025-3-23 23:15
,Estimation of?Parameters,ralized to multiple dimensions. When the data has outliers, the 2-norm in NLS may be replaced with the more robust 1-norm. However, the use of 1-norm makes the objective function non-differentiable which rules out Newton’s method and calls for general optimization algorithms, such as the simplex method.
作者: Merited    時間: 2025-3-24 05:13

作者: extemporaneous    時間: 2025-3-24 09:42
1938-1743 upplement for a first course in differential equations whose prerequisites include proficiency in multivariate calculus and MATLAB literacy..978-3-031-62259-5978-3-031-62257-1Series ISSN 1938-1743 Series E-ISSN 1938-1751
作者: Pcos971    時間: 2025-3-24 11:28

作者: Madrigal    時間: 2025-3-24 15:30
Schaltungen mit mehreren Aktuatorenent explanation of vector fields and linear transformations involves many auxiliary linear algebra concepts that will be important later: linear independence, span, basis, null space, and range, to name a few. We also present matrices as representations of linear transformation which, among other th
作者: Override    時間: 2025-3-24 23:02
,Example of?Modeling Population Dynamics,and the logistic equation. We show how these ODE are derived, solved, and used to model census data. Along the way we introduce ODE terminology, a simple calculus technique for solving certain first order ODE called separation of variables, and two kinds of exponential regression.
作者: adipose-tissue    時間: 2025-3-25 01:33

作者: Keshan-disease    時間: 2025-3-25 07:23

作者: GRIEF    時間: 2025-3-25 11:11
Exponential Function,n it is applied to complex numbers and matrices. To avoid that confusion in later chapters, we show how the exponential function is properly defined by its Taylor series expansion and how that definition naturally extends its domain to complex and matrix inputs.
作者: neutralize    時間: 2025-3-25 15:14
ODE and Linear Algebra,structure is codified in the structure theorem which, together with the principle of superposition, provides a blueprint for constructing general solutions of linear ODE; no such blueprint exists for nonlinear ODE. As a concrete illustration of linearity in action, we study an RC-circuit driven firs
作者: contrast-medium    時間: 2025-3-25 18:12

作者: 桉樹    時間: 2025-3-25 21:55
Discrete Fourier Transform,, where it is practically synonymous with digital signal processing (DSP). After reviewing orthogonal expansions, we show that DFT is one, and that it is also a way of approximating functions with sums of real harmonics or, equivalently, complex exponentials. The role of DFT in data analysis is illu
作者: 輕彈    時間: 2025-3-26 01:04
Fourier Series,reased. In the limit, as the number of grid points tends to infinity, the finite sum becomes a Fourier series which represents the function exactly. Fourier series representation is thus DFT approximation brought to its logical conclusion. Previously, we used DFT to approximate the solution of a fir
作者: ineffectual    時間: 2025-3-26 06:47
Fourier and Laplace Transforms,n limit of a Fourier expansion of a function. We then show how to solve linear ODE with constant coefficients using the Fourier transform. More importantly, we show that all information about solutions of such ODE is encoded in transfer functions. Finding transfer functions is often the main goal of
作者: Fibroid    時間: 2025-3-26 09:44
https://doi.org/10.1007/978-3-031-62257-1Ordinary Differential Equations; Modeling with Differential Equations; Modeling with ODEs; Applied Diff
作者: GIDDY    時間: 2025-3-26 15:59

作者: landmark    時間: 2025-3-26 17:50

作者: 獨行者    時間: 2025-3-26 23:27

作者: myriad    時間: 2025-3-27 03:36
We show how probabilistic reasoning leads to ODE that describe radioactive decay, absorption of light, mutarotation of glucose, and similar memoryless processes. All ODE are linear with constant coefficients which further vindicates our decision to prioritize them.
作者: FLORA    時間: 2025-3-27 07:37

作者: 為敵    時間: 2025-3-27 12:25

作者: FLIRT    時間: 2025-3-27 14:12

作者: 替代品    時間: 2025-3-27 20:11

作者: 搖曳    時間: 2025-3-28 01:06
The Dream: A Future Powered by Plutoniumn it is applied to complex numbers and matrices. To avoid that confusion in later chapters, we show how the exponential function is properly defined by its Taylor series expansion and how that definition naturally extends its domain to complex and matrix inputs.
作者: compel    時間: 2025-3-28 05:45
Schaltungen mit mehreren Aktuatorenstructure is codified in the structure theorem which, together with the principle of superposition, provides a blueprint for constructing general solutions of linear ODE; no such blueprint exists for nonlinear ODE. As a concrete illustration of linearity in action, we study an RC-circuit driven firs
作者: cornucopia    時間: 2025-3-28 08:10
Fehlersuche in pneumatischen Systemen ODE with constant coefficients. All such ODE can be converted to matrix-vector form. We first show how to exponentiate matrices using eigendecomposition: this settles questions about homogeneous ODE and complimentary functions. We then introduce the method of undetermined coefficients for construct
作者: Fermentation    時間: 2025-3-28 12:25
Ambulant erworbene Pneumonie: Erreger,, where it is practically synonymous with digital signal processing (DSP). After reviewing orthogonal expansions, we show that DFT is one, and that it is also a way of approximating functions with sums of real harmonics or, equivalently, complex exponentials. The role of DFT in data analysis is illu
作者: Fibroid    時間: 2025-3-28 15:43
Rosanna Planer,Alexander Godullareased. In the limit, as the number of grid points tends to infinity, the finite sum becomes a Fourier series which represents the function exactly. Fourier series representation is thus DFT approximation brought to its logical conclusion. Previously, we used DFT to approximate the solution of a fir
作者: 車床    時間: 2025-3-28 19:42

作者: 眉毛    時間: 2025-3-29 01:19

作者: staging    時間: 2025-3-29 03:37
https://doi.org/10.1007/978-3-662-11508-4and the logistic equation. We show how these ODE are derived, solved, and used to model census data. Along the way we introduce ODE terminology, a simple calculus technique for solving certain first order ODE called separation of variables, and two kinds of exponential regression.
作者: FRONT    時間: 2025-3-29 10:40

作者: companion    時間: 2025-3-29 15:01





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