engaged column

Examples of engaged column in the following topics:

• Carolingian Architecture in the Early European Middle Ages

  • For instance, the gatehouse of Lorsch Abbey, built around 800 CE in Germany, exemplifies classical inspiration for Carolingian architecture, built as a triple-arched hall dominating the gateway, with the arcaded façade interspersed with engaged Corinthian columns and pilasters above.
  • In addition to the engaged columns and arcades, the apse-like structures on either side of the gatehouse recall the ancient Roman basilicas, which were the sites of important government events.
  • The bronze decoration is of extraordinarily high quality, especially the doors with lions heads and the interior railings, with their Corinthian order columns and acanthus scrolls.
  • On the upper stories of the center and towers of the westwork, a range of modified classical columns divide and accent the windows, which also take the form of round arches.
  • Lorsch Abbey (800 CE) demonstrates the Roman-classical inspiration the Carolingians took for their architecture, with a triple arch hallway dominating the gateway and interspersed with engaged classical columns.

• Architecture of the Early Roman Empire

  • On both levels, an engaged column stood between each pair of arches.
  • Tuscan columns adorned the ground level, while Roman Ionic columns adorned the second level.
  • Full-length sculptures of men, possibly senators or other significant historico-political figures, stood under each arch on the second level and lined the roof above each engaged Ionic column.
  • However, despite this illusion the engaged columns and pilasters were merely decorative.
  • The arch follows typical standard forms for a triumphal arch, with an honorific inscription in the attic, winged Victories in the spandrels, engaged columns, and more sculpture which is now lost.

• Hypotheses about the means of two groups

  • Suppose we had the notion that private-for-profit organizations were less likely to actively engage in sharing information with others in their field than were government organizations.
  • We've also used Data>Spreadsheets>Matrix to create a UCINET attribute file "knokegovt" that has a single column dummy code (1 = governmental organization, 0 = non-governmental organization).
  • Since we are working with individual nodes as observations, the data are located in a column (or, sometimes, a row) of one or more files.
  • Note how the file names (selected by browsing, or typed) and the columns within the file are entered in the dialog.
  • The normed Freeman degree centrality measure happens to be located in the second column of its file; there is only one vector (column) in the file that we created to code government/non-government organizations.

• Correlation between two networks with the same actors

  • That is, we might hypothesize that the matrix of information relations would be positively correlated with the matrix of monetary relations - pairs that engage in one type of exchange are more likely to engage in the other.
  • The first column shows the values of five alternative measures of association.
  • The third column (Avg) shows the average value of the measure of association across a large number of trials in which the rows and columns of the two matrices have been randomly permuted.
  • These figures are reported (from the random permutation trials) in the columns labeled "P(large)" and "P(small)."
  • The appropriate one of these values to test the null hypothesis of no association is shown in the column "Signif."

• Spaces Associated with a linear system Ax = y

  • In other words the rows of $A$ have $m$ components while the columns of $A$ have $n$ components.
  • Now the column space and the nullspace are generated by $A$ .
  • What about the column space and the null space of $A^T$ ?
  • We summarize this by saying that row rank = column rank.
  • A generic $n \times m$ matrix can have more columns than rows (top), more rows than columns (bottom), or it could be square.

• Surrender at Yorktown

  • The culminating engagement of the Revolutionary War, the Siege of Yorktown, marked the end of British power in the colonies.
  • In August 1781, in what has since become known as the Celebrated March, the combined armies of Washington and Rochambeau departed from New York to Virginia, engaging in tactics of deception to lead the British to believe a siege of New York was planned.
  • With the British defense weakened, Washington sent two columns to attack the last major remaining British outer defenses, on October 14, 1781.
  • A French column took Redoubt 9 and an American column took Redoubt 10.

• What is a Matrix?

  • A matrix is a rectangular arrays of numbers, symbols, or expressions, arranged in rows and columns.
  • The size of a matrix is defined by the number of rows and columns that it contains.
  • Matrices which have a single row are called row vectors, and those which have a single column are called column vectors.
  • A matrix which has the same number of rows and columns is called a square matrix.
  • For instance, $a_{2,1}$ represents the element at the second row and first column of a matrix A.

• Cumulative Frequency Distributions

  • However, this time, you will need to add a third column.
  • The first column should be labeled Class or Category.
  • The second column should be labeled Frequency.
  • Fill in your class limits in column one.
  • Next, start to fill in the third column.

• Victory Columns under the Nervan-Antonines

  • Standing between the libraries of the Forum of Trajan is a 128 foot tall victory column, known as the Column of Trajan.
  • A victory column was also erected for Marcus Aurelius (r. 161-180 CE).
  • This column is modeled on Trajan's column and was originally erected on the Campus Martius between the Temple of Divine Hadrian and the Temple of Divine Marcus Aurelius.
  • Despite the similar military scenes, the artistic style of the Column of Marcus Aurelius differs greatly from the Column of Trajan.
  • Detail of five registers or bands from the Column of Trajan.

• Matrix Multiplication

  • When multiplying matrices, the elements of the rows in the first matrix are multiplied with corresponding columns in the second matrix.
  • First ask: Do the number of columns in $A$ equal the number of rows in $B$?  
  • The number of columns in $A$ is $2$, and the number of rows in $B$ is also $2$, therefore a product exists.
  • Start with producing the product for the first row, first column element.  
  • Take the first row of Matrix $A$ and multiply by the first column of Matrix $B$:  The first element of $A$ times the first column element of $B$, plus the second element of $A$ times the second column element of $B$.