CONJUGATION OF THE VERB TO DIAGONALIZE
PRESENT
Present
I diagonalize
you diagonalize
he/she/it diagonalizes
we diagonalize
you diagonalize
they diagonalize
Present continuous
I am diagonalizing
you are diagonalizing
he/she/it is diagonalizing
we are diagonalizing
you are diagonalizing
they are diagonalizing
Present perfect
I have diagonalized
you have diagonalized
he/she/it has diagonalized
we have diagonalized
you have diagonalized
they have diagonalized
Present perfect continuous
I have been diagonalizing
you have been diagonalizing
he/she/it has been diagonalizing
we have been diagonalizing
you have been diagonalizing
they have been diagonalizing
Present tense is used to refer to circumstances that exist at the present time or over a period that includes the present time. The
present perfect refers to past events, although it can be considered to denote primarily the resulting present situation rather than the events themselves.
PAST
Past
I diagonalized
you diagonalized
he/she/it diagonalized
we diagonalized
you diagonalized
they diagonalized
Past continuous
I was diagonalizing
you were diagonalizing
he/she/it was diagonalizing
we were diagonalizing
you were diagonalizing
they were diagonalizing
Past perfect
I had diagonalized
you had diagonalized
he/she/it had diagonalized
we had diagonalized
you had diagonalized
they had diagonalized
Past perfect continuous
I had been diagonalizing
you had been diagonalizing
he/she/it had been diagonalizing
we had been diagonalizing
you had been diagonalizing
they had been diagonalizing
Past tense forms express circumstances existing at some time in the past,
FUTURE
Future
I will diagonalize
you will diagonalize
he/she/it will diagonalize
we will diagonalize
you will diagonalize
they will diagonalize
Future continuous
I will be diagonalizing
you will be diagonalizing
he/she/it will be diagonalizing
we will be diagonalizing
you will be diagonalizing
they will be diagonalizing
Future perfect
I will have diagonalized
you will have diagonalized
he/she/it will have diagonalized
we will have diagonalized
you will have diagonalized
they will have diagonalized
Future perfect continuous
I will have been diagonalizing
you will have been diagonalizing
he/she/it will have been diagonalizing
we will have been diagonalizing
you will have been diagonalizing
they will have been diagonalizing
The
future is used to express circumstances that will occur at a later time.
CONDITIONAL
Conditional
I would diagonalize
you would diagonalize
he/she/it would diagonalize
we would diagonalize
you would diagonalize
they would diagonalize
Conditional continuous
I would be diagonalizing
you would be diagonalizing
he/she/it would be diagonalizing
we would be diagonalizing
you would be diagonalizing
they would be diagonalizing
Conditional perfect
I would have diagonalize
you would have diagonalize
he/she/it would have diagonalize
we would have diagonalize
you would have diagonalize
they would have diagonalize
Conditional perfect continuous
I would have been diagonalizing
you would have been diagonalizing
he/she/it would have been diagonalizing
we would have been diagonalizing
you would have been diagonalizing
they would have been diagonalizing
Conditional or "future-in-the-past" tense refers to hypothetical or possible actions.
IMPERATIVE
Imperative
you diagonalize
we let´s diagonalize
you diagonalize
The
imperative is used to form commands or requests.
NONFINITE VERB FORMS
Infinitive
to diagonalize
Past participle
diagonalized
Present Participle
diagonalizing
Infinitive shows the action beyond temporal perspective. The
present participle or gerund shows the action during the session. The
past participle shows the action after completion.
10 ENGLISH BOOKS RELATING TO «DIAGONALIZE»
Discover the use of
diagonalize in the following bibliographical selection. Books relating to
diagonalize and brief extracts from same to provide context of its use in English literature.
the most important thing to do with the operator that represents any given
dynamical variable is to diagonalize it.1 To emphasize the generality of the
process, I shall denote the matrix that we wish to diagonalize by A, and since we
frequently ...
2
Engineering and Scientific Computing with Scilab
The bdiag function tries to diagonalize A with a well-conditioned U matrix. Note
that the structure of the blocks returned by bdiag is different according to whether
real or complex arithmetic is used. The following is an example: -->A=diag( [0,0.5,
...
3
Four Lives: A Celebration of Raymond Smullyan
When I was Ray's graduate student, I once remarked to him: “Professor Smullyan,
I think you like to diagonalize people.” I didn't mean “diagonalize” in the technical
sense, but rather in the sense of fooling, confounding, and otherwise ...
Raymond M. Smullyan, Jason Rosenhouse, 2014
4
Linear Algebra, Geodesy, and GPS
19 Ak — SAkS~l approaches the zero matrix as k -*. oo if and only if every X has
absolute value less than . Which of these matrices has Ak -*. 0? .6 .4 .4 .6 and B =
.6 .9] .1 .6j 20 (Recommended) Find A and S to diagonalize A in Problem 19.
Gilbert Strang, Kai Borre, 1997
5
Mathematical Methods for Scientists and Engineers
Diagonalize A = /] 0 0\ 4. Diagonalize A = 0 1 1 . (2 0 -2 \ 0 3 0 1. 0 0 3/ 6. Which
of the following matrices is diagonalizable? 7. Diagonalize A = (a) ( ] ° ) (b) 0 2 0 (
c) 8. Diagonalize A = 9. Diagonalize A = 10. Diagonalize A = 12. FindeAifA = 13.
Donald Allan McQuarrie, 2003
6
Linear Algebra with Applications
Diagonalize (if possible) each of the following matrices. Give the similarity
transformation. (a) (b) (c) (d) (e) 4. Diagonalize (if possible) each of the following
matrices. Give the similarity transformation. c 4 1 21 2d c4 21 2 1d c1 1 0 1d c2 1
2 3d ...
7
Applied Linear Algebra: The Decoupling Principle
The Decoupling Principle Lorenzo Adlai Sadun. (4) In exercise 3, let di be the
real eigenvector of A, and let dz and d3 be the real and imaginary parts of one of
the complex eigenvectors. Compute [L)v. 2 5N * (5) Diagonalize the matrix .1 0 (6
) ...
8
Matrix Calculus and Kronecker Product: A Practical Approach ...
The combined set of their eigenvalues constitutes the set of eigenvalues of V. We
first diagonalize VI and VI separately and independently, thereby obtaining twice
too many eigenvalues for each. To find the eigenvalues of %(I + U )V+ and %(I ...
Willi-Hans Steeb, Yorick Hardy, 2011
In the case where the Hamiltonian is time-independent, which is what we shall
consider in this section, knowledge of this time evolution implies that we know
how to diagonalize the Hamiltonian, that is, find its eigenvalues and eigenvectors
.
10
The condition number of similarities that
diagonalize matrices
The answer depends on how the diagonal blocks partition T's spectrum; the condition number of S is bounded below by a function of the norms of the projection matrices determined by the partitioning.
James W. Demmel, University of California, Berkeley. Computer Science Division, 1983
4 NEWS ITEMS WHICH INCLUDE THE TERM «DIAGONALIZE»
Find out what the national and international press are talking about and how the term
diagonalize is used in the context of the following news items.
What Is The Geometry Of Spacetime? — What Kinds Of Inner …
So, not only can we diagonalize all of the symmetric real matrices we may encode (as metrics), we can actually change the values of the ... «Science 2.0, Nov 12»
Creating OBB
The easiest (right) way to do this is to diagonalize the matrix H which is defined by this matlab'ish notation H=[0,B';B,0]. But in order to do that ... «GameDev.net, Oct 12»
Climbing the Jaynes–Cummings ladder and observing its …
In order to find the energies of the dressed states in the presence of this additional level, we diagonalize the hamiltonian Unfortunately we are ... «Nature.com, Jul 08»
Direct observation of second-order atom tunnelling
To predict the time evolution of an individual double-well system, we diagonalize the hamiltonian (equation (1)) for the single-atom and the ... «Nature.com, Aug 07»
