Toplitz matrix - significado y definición. Qué es Toplitz matrix
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Qué (quién) es Toplitz matrix - definición

LAKE IN STYRIA, AUSTRIA
Toplitz Lake; Lake toplitz; Toplitzsee

MATRIX MATH         
  • The vectors represented by a 2-by-2 matrix correspond to the sides of a unit square transformed into a parallelogram.
  • orientation]], since it turns the counterclockwise orientation of the vectors to a clockwise one.
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  • An example of a matrix in Jordan normal form. The grey blocks are called Jordan blocks.
  • An undirected graph with adjacency matrix:
<math display="block">\begin{bmatrix}
1 & 1 & 0 \\
1 & 0 & 1 \\
0 & 1 & 0
\end{bmatrix}.</math>
  • Two different Markov chains. The chart depicts the number of particles (of a total of 1000) in state "2". Both limiting values can be determined from the transition matrices, which are given by <math>
\begin{bmatrix}
 0.7 & 0\\
 0.3 & 1
\end{bmatrix}</math> (red) and <math>
\begin{bmatrix}
 0.7 & 0.2\\
 0.3 & 0.8
\end{bmatrix}</math> (black).
  • Schematic depiction of the matrix product '''AB''' of two matrices '''A''' and '''B'''.
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  • indefinite]].
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RECTANGULAR ARRAY OF NUMBERS, SYMBOLS, OR EXPRESSIONS, ARRANGED IN ROWS AND COLUMNS
Matrix (Mathematics); Matrix (math); Submatrix; Matrix theory; Matrix (maths); Submatrices; Matrix Theory and Linear Algebra; Infinite matrix; Square (matrix); Matrix operation; Square submatrix; Matrix(mathematics); Real matrix; Matrix math; Matrix index; Equal matrix; Matrix equation; Matrix (computer science); Matrix notation; Empty matrix; Real matrices; Principal submatrix; Array (mathematics); Matrix power; Complex matrix; Complex matrices; Applications of matrices; Rectangular matrix; Uniform matrix
<language> An early system on the UNIVAC I or II. [Listed in CACM 2(5):1959-05-16]. (1997-02-27)
Logical matrix         
  • Multiplication of two logical matrices using [[boolean algebra]].
MATRIX WITH ENTRIES FROM THE BOOLEAN DOMAIN B = {0, 1}
Binary matrix; (0,1) matrix; (0,1)-matrix; (0,1)-matrices; 0,1-matrix; 0-1 matrix; Matrix logic; Zero-One matrix; Logical vector; Logical matrices
A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1) matrix is a matrix with entries from the Boolean domain Such a matrix can be used to represent a binary relation between a pair of finite sets.
Stochastic matrix         
  • [[Andrey Markov]] in 1886
MATRIX USED TO DESCRIBE THE TRANSITIONS OF A MARKOV CHAIN
Transition probability matrix; Markov transition matrix; Markov matrix; Stachastic matrix; Right stochastic matrix; Left stochastic matrix; Markov Matrices; Markov matrices; Probability matrix; Stochastic matrices; Stochastic operator
In mathematics, a stochastic matrix is a square matrix used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number representing a probability.

Wikipedia

Lake Toplitz

Lake Toplitz (German: Toplitzsee) is a lake situated in a dense mountain forest high up in the Austrian Alps, 98 km (61 mi) from Salzburg in western Austria. It is surrounded by cliffs and forests in the Salzkammergut lake district, within the Totes Gebirge (dead mountains). The Toplitzsee water contains no oxygen below a depth of 20 m. Fish can survive only in the top 18 m, as the water below 20 m is salty, although bacteria and worms that can live without oxygen have been found below 20 m.

In 1943 and 1944, the shore of Lake Toplitz served as a Nazi naval testing station. Using copper diaphragms, scientists experimented with different explosives, detonating up to 4,000 kg charges at various depths. Over £100 million of counterfeit pound sterling notes were claimed to have been dumped in the lake after Operation Bernhard, which was never fully put into action. In 1959, investigators recovered £700 million of counterfeit notes from the lake, that Hitler had planned on using to sabotage Britain's economy. There is speculation that there might be other valuables to be recovered from the bottom of the Toplitzsee. There is a layer of sunken logs floating half way to the bottom of the lake, making diving beyond it hazardous or impossible. Gerhard Zauner, one of the divers on the 1959 expedition, reported that he saw a sunken aircraft below this layer.

The area is only accessible on foot, via a private mile-long track that serves the Fischerhütte (Fisherman's Hut) restaurant at the western end.