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Topic: Transpose

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Rank (linear algebra)

Matrix (mathematics)

Dual space

Symmetric matrix

Matrix inversion

Eigenvalue

Spectrum of an operator

Euclidean space

Riemannian metric

Metric tensor

Triangle inequality

Julius Wilhelm Richard Dedekind

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	: Transpose a Song (Change Keys)
		Transposing is the act of playing something in a different key from where it was originally written.
		You might transpose a song from its original key in order to keep its highest and lowest notes within a comfortable range on your instrument, or possibly to accommodate the vocal range of a singer.
		In this kind of transposing you aren't changing the actual key of the song--you're changing the notes on your instrument to sound the same as the notes written for the instrument whose part you're reading.
	members.tripod.com /allencole/transpose.htm (1152 words)

	PlanetMath: transpose
		The transpose is a linear mapping from the vector space of matrices to itself.
		The familiar vector dot product can also be defined using the matrix transpose.
		This is version 8 of transpose, born on 2001-11-20, modified 2005-03-18.
	planetmath.org /encyclopedia/Transpose.html (115 words)

	Transpose : Sage Line 50 Transaction Import (Site not responding. Last check: 2007-10-11)
		Transpose allows the input files to be "mapped" to the required import fields.
		Transpose even allows special values such as nominal codes or transaction types to be inserted on import so that the correct Sage settings can be used even if they aren't present in the input file.
		Transpose ensures that all import data is correct before running the actual import.
	www.steveblencowe.com /prod03.htm (1546 words)

	Info Node: (emacs)Transpose (Site not responding. Last check: 2007-10-11)
		If you transposed a space with the last character of the word before it, the word motion commands are a good way of getting there.
		A numeric argument to a transpose command serves as a repeat count: it tells the transpose command to move the character (word, expression, line) before or containing point across several other characters (words, expressions, lines).
		A numeric argument of zero is assigned a special meaning (because otherwise a command with a repeat count of zero would do nothing): to transpose the character (word, expression, line) ending after point with the one ending after the mark.
	www.cs.cmu.edu /cgi-bin/info2www?(emacs)Transpose (347 words)

	3.13 Transposition
		Transposes the current character with the previous character, and then moves the current point forwards one character.
		Transposes the current word with the next word, and then moves the current point forward one word.
		Transposes the current line with the previous line, and then moves the current point forward one line.
	www.lispworks.com /documentation/lw445/EDUG-W/html/eduser-w-56.htm (342 words)

	TablEdit Tablature Editor
		You could use the Chord Finder to build an E maj add 9 chord anywhere and then use Transpose to build the chord at the 5th position by entering a "0" in the "Intervals" field and a "5" in the "To Fret" field.
		The check box labeled "Transpose All Modules", as the label implies, allows the transposition to be applied to all of the modules of a tablature at the same time.
		The "Transpose" function is unavailable for certain instruments such as the accordion (it's simpler to just select an entire line and then press [+] or [-]) or in the case of drum tablatures where it would be meaningless.
	www.tabledit.com /help/english/transpose.shtml (731 words)

	Kadon Enterprises, Inc., Games Magazine reviews of Transpose (Site not responding. Last check: 2007-10-11)
		Transpose is one of eight two-player games you can play with this magnificent set.
		In Transpose, players try to move their pieces off the edge of the board, but each piece can move only in the direction specified by the arrow at the end of its row and the number of spaces indicated by a die roll.
		Transpose is one of eight two-player games (several of them invented and crafted by Christopher Clark) that can be played with this magnificent set.
	www.gamepuzzles.com /revutp.htm (387 words)

	PlanetMath: conjugate transpose
		It is clear that for real matrices, the conjugate transpose coincides with the transpose.
		is also used for the conjugate transpose [2].
		This is version 7 of conjugate transpose, born on 2003-06-21, modified 2006-09-13.
	planetmath.org /encyclopedia/ConjugateTranspose.html (109 words)

	Transposing : How to Transpose Music from one Key to Another
		When you transpose you have to remember that all accidentals will be transposed also.
		There are 5 semitones between F and C therefore you transpose down by 5 semitones to play in C. This is the Result in C, having transposed each note downwards by 5 semitones.
		Therefore, if you play a chord of C on the piano, now that it has been transposed, you will actually be playing the chord of G, which is 5 semitones below C. Hopefully, with the above examples you can understand at least the basic principles behind transposition of music between keys.
	www.shanemcdonald.org /music/how-to-transpose.html (412 words)

	A: Matrix Transpose (Site not responding. Last check: 2007-10-11)
		There are a number of ways to represent sparse matrices, but essentially they are all the same: store only the non-zero elements of the matrix along with their row and column.
		You are to write a program to output the transpose of a sparse matrix of integers.
		For each input case, the transpose of the given matrix in the same representation.
	acm.uva.es /p/v108/10895.html (385 words)

	Matrix Transpose
		While the underlining operations of a matrix transpose is very simple mathematically, it is not at all trivial to program it in parallel efficiently by conventional procedures.
		Perform a transpose on the p x q matrix; this means that the contents of the local transposed matrix must be communicated from location "p,q" to location "q,p" via message passing.
		If you need to access the element (or sub-matrix) "p,q" of the transposed matrix, all you need do is to access the element "q,p" which has already been transposed locally.
	scv.bu.edu /Tutorials/MPI/more/matrix_transpose.html (619 words)

	Info Node: (xemacs.info)Transpose (Site not responding. Last check: 2007-10-11)
		Normally, `C-t' transposes the two characters on either side of point.
		When given at the end of a line, `C-t' transposes the last two characters on the line, rather than transposing the last character of the line with the newline, which would be useless.
		A numeric argument of zero transposes the character (word, sexp, line) ending after point with the one ending after the mark (otherwise a command with a repeat count of zero would do nothing).
	www.go.dlr.de:8081 /cgi-bin/info2www?(xemacs)Transpose (332 words)

	. feedtank . playful interactive spectacles . transpose (Site not responding. Last check: 2007-10-11)
		TransPose is an audiovisual performance instrument whose interface encourages dramatic movement.
		It was conceived to address the absence of physical human expression found in most electronic music based performances.
		In TransPose, the performer's silhouette is projected in front of them along with noteboxes, which produce a sound when touched.
	www.feedtank.com /tp.html (69 words)

	Transpose - GNU Emacs Manual (Site not responding. Last check: 2007-10-11)
		The common error of transposing two characters can be fixed, when they are adjacent, with the
		transposes the two characters on either side of point.
		When given at the end of a line, rather than transposing the last character of the line with the newline, which would be useless,
	www.gnu.org /software/emacs/manual/html_node/Transpose.html (279 words)

	XEmacs User's Manual - Transpose (Site not responding. Last check: 2007-10-11)
		transposes the last two characters on the line, rather than transposing the last character of the line with the newline, which would be useless.
		If you catch the error later, move the cursor back to between the two transposed characters.
		A numeric argument to a transpose command serves as a repeat count: it tells the transpose command to move the character (word, sexp, line) before or containing point across several other characters (words, sexps, lines).
	www.tau.ac.il /cc/pages/docs/xemacs/xemacs_86.html (282 words)

	CMU transposes for the T3D
		This documentation page is an executive summary about the computer architecture research that lead to the CMU direct deposit model of communication and the fast transpose routines in libtp.a.
		Shown is the memory layout for an array A[1024][1024] declared in C. The transpose routines can choose between more contiguous loads with strided stores (depicted in red), or strided loads with more contiguous stores (depicted in blue).
		The transpose intrinsic of CRAFT is programmed in a similar way but must rely on at least one additional copy since the transfer rates are about half of direct deposit.
	www.cs.cmu.edu /afs/cs/user/tomstr/Mosaic/transposes.html (654 words)

	WD2000: How to Transpose Rows and Columns in Word
		Word does not have the ability to transpose cells in a table; that is, you cannot use Word to switch the orientation of columns to rows or vice versa.
		If your original table has more than 63 rows and you transpose the rows with the columns, the pasted table is truncated at 63 columns and no warning message appears.
		After you transpose and paste the table back into your Word document, replace the tilde character with a tab.
	support.microsoft.com /?kbid=212031 (425 words)

	How To Transpose Music
		Apply all of the accidentals necessary to match major or minor.Â If you transpose from C to D, plug in the required F sharp andÂ C sharp notations on the new score's key signature.Â If you're transposing on sight, keep a mental note on the changes to F sharp and C sharp while playing.
		Transposing for different instruments in an orchestra requires some knowledge of each instrument's tuning.Â On a B flat clarinet, for example, the note produced with a C fingering sounds like a B flat.
		Transposing on sight is easier if you reposition your hand over the new tonic note.
	www.howtodothings.com /hobbies/a2095-how-to-transpose-music.html (196 words)

	GsMtx::Transpose
		Note that, currently, a matrix must be two dimensional to be transposed; however, it need not be square.
		A reference to a GMtx matrix instance containing the transposed form of the matrix encapsulated by the GMtx matrix instance being implemented by the presenting GsMtx object must be obtained.
		The matrix encapsulated by the obtained transpose GMtx matrix instance must be replicated in the GMtx matrix instance being implemented by the presenting GsMtx object.
	www.grc.nasa.gov /WWW/price000/pfc/htc/gsmtx_transpose.html (231 words)

	NWC2 Forum - Transpose Treble to Bass Clef?
		When the baritone is written in bass clef, though, I think the notes are in concert pitch (not transposed).
		part for baritone b.c., first transpose it up 2 semitones (use the tools/transpose menu, which will change both the notes and the key signature), then change the clef, then highlight all the notes in the bar and press {control}{shift}{up-arrow} 12 times.
		First transpose from Bb or Eb to C (you don't do this step if you're already in C).
	www.noteworthysoftware.com /nwc2/forum/220.htm (892 words)

	The TRANSPOSE Procedure : Overview (Site not responding. Last check: 2007-10-11)
		The TRANSPOSE procedure creates an output data set by restructuring the values in a SAS data set, transposing selected variables into observations.
		The TRANSPOSE procedure can often eliminate the need to write a lengthy DATA step to achieve the same result.
		A transposed variable is a variable the procedure creates by transposing the values of an observation in the input data set into values of a variable in the output data set.
	www.asu.edu /it/fyi/dst/helpdocs/statistics/sas/sasdoc/sashtml/proc/z24view.htm (320 words)

	♫ The Very Best transpose guitar Information ♫ (Site not responding. Last check: 2007-10-11)
		There will be no regrets once you embark on the journey to find the transpose guitar data you are seeking.
		Discover how the best transpose guitar web sites provide information in both audio, data and printed format to meet the needs of all transpose guitar needs.
		Have you found that many times, in your attempt to learn about transpose guitar you are left feeling around in the dark still searching for an answer.
	guitar.isyw.com /guitarist/transpose-guitar (144 words)

	SAS Learning Module: How to reshape data long to wide using proc transpose
		Below is an example of using SAS proc transpose to reshape the data from a long to a wide format.
		Notice that the option prefix= faminc specifies a prefix to use in constructing names for transposed variables in the output data set.
		The approach here is the same as in Example 2 that proc transpose is used multiple times and the data files are then merged together.
	www.ats.ucla.edu /stat/sas/modules/ltow_transpose.htm (401 words)

	DottedEyes - TranspOSe™
		TranspOSe can import a complete set of NTF tiles from several folders, such as those on an Ordnance Survey CD.
		It retains the attribute data from the NTF files, such as feature-level dates and reason for change in Land-Line, so changes since the last update can be shaded in a thematic map.
		TranspOSe 8.2 (release date May 2004) runs on Windows 2000 or XP.
	www.dottedeyes.co.uk /software/os/translation/transpose.htm (403 words)

	Maths - Matrix algebra - Transpose - Martin Baker
		The transpose of matrix M is normally denoted by M
		= the conjugate transpose of U. The conjugate transpose is also known as adjoint matrix, adjugate matrix, hermitian adjoint or hermitian transpose.
		The conjugate transpose is the conjugate matrix and the transpose of the matrix applied together.
	www.euclideanspace.com /maths/algebra/matrix/functions/transpose/index.htm (273 words)

	How to transpose data in a table or query in Access 2002
		At times, you may need to transpose the data in a table or query so that the field names are listed vertically down the left column and the data extends across the page horizontally.
		For example, you may need to transpose the data for a report or before exporting it to a text file.
		Method 1 shows you how you can export the data to Microsoft Excel, transpose the data, and then import the result back into Microsoft Access.
	support.microsoft.com /?kbid=283875 (763 words)

	SAS Learning Module: How to reshape data wide to long using proc transpose
		From the first output of proc print, we see that the data now is in long format except that we don't have a numeric variable indicating year; instead; we have a character variable that has information on year in it.
		A simple approach here is to transpose one group of variables at a time and then merge them back together.
		In the data step where we merge the transposed data files together, we also create a numeric variable for year and rename each of the variables properly.
	www.ats.ucla.edu /stat/sas/modules/wtol_transpose.htm (383 words)

	Transpose CrossTab (cross table) to List - Excel Tips & Add-ins (Site not responding. Last check: 2007-10-11)
		CrossTab (cross table) is a two-dimensional table with a horizontal header row and a vertical header row.
		We sometimes need to transpose it into a one-dimensional flat list table.
		Some users asked for a reverse transpose, i.e., to transpose a list into a cross table.
	www.digdb.com /excel_add_ins/transpose_crosstab_list (251 words)

	Transpose Operator: ` (Site not responding. Last check: 2007-10-11)
		The transpose operator (denoted by the backquote ` character) exchanges the rows and columns of matrix, producing the transpose of matrix.
		For example, if an element in matrix is in the first row and second column, it is in the second row and first column of the transpose; an element in the first row and third column of matrix is in the third row and first column of the transpose, and so on.
		If your keyboard does not have a backquote character, you can transpose a matrix with the T (transpose) function, documented later in this chapter.
	www.asu.edu /it/fyi/unix/helpdocs/statistics/sas/sasdoc/sashtml/iml/chap17/sect20.htm (135 words)

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