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A cyan focus frame surrounds the innermost environment (a formula environment) the cursor is in, while the subtle gray box surrounds another active tag (the theorem environment). Like in many WYSIWYG editors (such as Microsoft Word), authors manipulate a document on screen which should print to a similar-looking paper copy. The goal of TeXmacs ...
It is widely used in numerical evaluation of the dynamic response of structures and solids such as in finite element analysis to model dynamic systems. The method is named after Nathan M. Newmark , [ 1 ] former Professor of Civil Engineering at the University of Illinois at Urbana–Champaign , who developed it in 1959 for use in structural ...
LaTeX (/ ˈ l ɑː t ɛ k / ⓘ LAH-tek or / ˈ l eɪ t ɛ k / LAY-tek, [2] [Note 1] often stylized as L a T e X) is a software system for typesetting documents. [3] LaTeX markup describes the content and layout of the document, as opposed to the formatted text found in WYSIWYG word processors like Google Docs, LibreOffice Writer, and Microsoft Word.
Łoś' theorem (model theory) Lovelock's theorem ; Löwenheim–Skolem theorem (mathematical logic) Lucas's theorem (number theory) Lukacs's proportion-sum independence theorem (probability) Lumer–Phillips theorem (semigroup theory) Luzin's theorem (real analysis) Lyapunov–Malkin theorem (stability theory)
This paper is a written version of a one-hour lecture given on Peter Shor's quantum factoring algorithm. 22 pages. Chapter 20 Quantum Computation , from Computational Complexity: A Modern Approach , Draft of a book: Dated January 2007, Sanjeev Arora and Boaz Barak, Princeton University.
The original model uses an iterative three-stage modeling approach: Model identification and model selection: making sure that the variables are stationary, identifying seasonality in the dependent series (seasonally differencing it if necessary), and using plots of the autocorrelation (ACF) and partial autocorrelation (PACF) functions of the dependent time series to decide which (if any ...
In mathematics, the Riemann–Liouville integral associates with a real function: another function I α f of the same kind for each value of the parameter α > 0.The integral is a manner of generalization of the repeated antiderivative of f in the sense that for positive integer values of α, I α f is an iterated antiderivative of f of order α.
To see how this number arises, consider the real one-parameter map =.Here a is the bifurcation parameter, x is the variable. The values of a for which the period doubles (e.g. the largest value for a with no period-2 orbit, or the largest a with no period-4 orbit), are a 1, a 2 etc.