twice, double, double
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twice, double, double

 
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M_r. Q_u_e_s_t_i_o_n
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Posted: Wed Sep 08, 2004 12:52 pm    Post subject: twice, double, double Reply with quote

Which is correct:

twice shifted sequence
double shifted sequence
doubly shifted sequence
?

Q.
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Don Phillipson
Guest





Posted: Wed Sep 08, 2004 4:58 pm    Post subject: Re: twice, double, double Reply with quote

"M_r. Q_u_e_s_t_i_o_n" <me@question.com> wrote in message
news:2q7oi0Fs9aviU1@uni-berlin.de...

Quote:
Which is correct:

twice shifted sequence
double shifted sequence
doubly shifted sequence

You must provide more context.
How can a sequence be shifted?
When we consider two different
sequences of the same elements,
how can we tell that one is a shifted
version of the other?

--
Don Phillipson
Carlsbad Springs
(Ottawa, Canada)
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nycram
Guest





Posted: Wed Sep 08, 2004 6:23 pm    Post subject: Re: twice, double, double Reply with quote

In article <bIB%c.3348$H23.31903@newscontent-01.sprint.ca>,
d.phillipson@ttrryytteell.com says...
Quote:
"M_r. Q_u_e_s_t_i_o_n" <me@question.com> wrote in message
news:2q7oi0Fs9aviU1@uni-berlin.de...

Which is correct:

twice shifted sequence
double shifted sequence
doubly shifted sequence

You must provide more context.
true


Quote:
How can a sequence be shifted?
When we consider two different
sequences of the same elements,
how can we tell that one is a shifted
version of the other?

For example, a Doppler shift preserves the relative sequence of the

Frauenhofer lines, but shifts their absolute position.

Gary


>
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M_r. Q_u_e_s_t_i_o_n
Guest





Posted: Wed Sep 08, 2004 9:34 pm    Post subject: Re: twice, double, double Reply with quote

"Don Phillipson" <d.phillipson@ttrryytteell.com> wrote in message news:bIB%c.3348$H23.31903@newscontent-01.sprint.ca...
Quote:
"M_r. Q_u_e_s_t_i_o_n" <me@question.com> wrote in message
news:2q7oi0Fs9aviU1@uni-berlin.de...

Which is correct:

twice shifted sequence
double shifted sequence
doubly shifted sequence

You must provide more context.
How can a sequence be shifted?
When we consider two different
sequences of the same elements,
how can we tell that one is a shifted
version of the other?

--
Don Phillipson
Carlsbad Springs
(Ottawa, Canada)



Let be S = {s1, s2, ..., sn} be some sequences.

Here is a new sequence Q = {a, b, s1, s2, ..., sn},
i.e. Q is twice/double/doubly(?) shifted sequence S with two added elements ('a' and 'b').

Q.
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Don Phillipson
Guest





Posted: Thu Sep 09, 2004 4:52 am    Post subject: Re: twice, double, double Reply with quote

"M_r. Q_u_e_s_t_i_o_n" <me@question.com> wrote in message
news:2q8n57Fsm6qbU1@uni-berlin.de...

Quote:
Let be S = {s1, s2, ..., sn} be some sequences.

Here is a new sequence Q = {a, b, s1, s2, ..., sn},
i.e. Q is twice/double/doubly(?) shifted sequence S with two added
elements ('a' and 'b').


How can we tell Q is S altered twice?
What would inform us if Q were S altered once or three times?

--
Don Phillipson
Carlsbad Springs
(Ottawa, Canada)
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David Fisher
Guest





Posted: Thu Sep 09, 2004 7:55 am    Post subject: Re: twice, double, double Reply with quote

"M_r. Q_u_e_s_t_i_o_n" lived up to his name by asking:

Quote:
Which is correct:

twice shifted sequence
double shifted sequence
doubly shifted sequence

You must provide more context.
How can a sequence be shifted?
When we consider two different
sequences of the same elements,
how can we tell that one is a shifted
version of the other?

Let be S = {s1, s2, ..., sn} be some sequences.

Here is a new sequence Q = {a, b, s1, s2, ..., sn},
i.e. Q is twice/double/doubly(?) shifted sequence S with two added
elements ('a' and 'b').


Here are a few ways to express the definition of sequence Q:

Sequence Q is the same as sequence S, with the elements 'a' and 'b' inserted
at the beginning.
Let Q be a sequence identical to S with its elements shifted two places to
the right, and with 'a' and 'b' as its first two values.
Element N of sequence Q is equal to element N-2 of sequence S, where N > 2.
The first and second elements of Q are 'a' and 'b' respectively.

Or you could just define the mathematical relationship between them:

Q[x] = S[x-2] (x > 2)
Q[1] = 'a'
Q[2] = 'b'

David Fisher
Sydney, Australia
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Odysseus
Guest





Posted: Thu Sep 09, 2004 8:23 am    Post subject: Re: twice, double, double Reply with quote

"M_r. Q_u_e_s_t_i_o_n" wrote:

Quote:

Let be S = {s1, s2, ..., sn} be some sequences.

Here is a new sequence Q = {a, b, s1, s2, ..., sn},
i.e. Q is twice/double/doubly(?) shifted sequence S with two added elements ('a' and 'b').

I would write "a/the doubly shifted sequence", or "a/the sequence
shifted by two (steps or places)". I think "twice shifted" would be
passable, but I don't much like "double-shifted", even with the hyphen.

--
Odysseus
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Peter Duncanson
Guest





Posted: Thu Sep 09, 2004 5:32 pm    Post subject: Re: twice, double, double Reply with quote

On Wed, 8 Sep 2004 18:34:50 +0300, "M_r. Q_u_e_s_t_i_o_n" <me@question.com>
wrote:

Quote:

"Don Phillipson" <d.phillipson@ttrryytteell.com> wrote in message news:bIB%c.3348$H23.31903@newscontent-01.sprint.ca...
"M_r. Q_u_e_s_t_i_o_n" <me@question.com> wrote in message
news:2q7oi0Fs9aviU1@uni-berlin.de...

Which is correct:

twice shifted sequence
double shifted sequence
doubly shifted sequence

You must provide more context.
How can a sequence be shifted?
When we consider two different
sequences of the same elements,
how can we tell that one is a shifted
version of the other?

--
Don Phillipson
Carlsbad Springs
(Ottawa, Canada)



Let be S = {s1, s2, ..., sn} be some sequences.

Here is a new sequence Q = {a, b, s1, s2, ..., sn},
i.e. Q is twice/double/doubly(?) shifted sequence S with two added elements ('a' and 'b').

I have been uneasy about your question. It has now become clear why.


Consider the following:

take the sequence of letters

ABCDEFGHIJKLMN

shift(n) is an operation that shifts each letter
n positions.

(For convenience the shift will be circular - letters that
fall off one end will reappear at the other.)

shift(1) applied to ABCDEFGHIJKLMN results in
NABCDEFGHIJKLM

shift(3) applied to ABCDEFGHIJKLMN results in
LMNABCDEFGHIJK

shift(-1) applied to the above sequence,
LMNABCDEFGHIJK, results in
MNABCDEFGHIJKL

As you will see, to me, "shift" is a general function that can in, a single
operation, move the sequence any number of places in a left or right
direction.

In that context "twice" or "doubly" shifted would mean two successive
applications of the shift function - shift(n) followed by shift(m).

However, in your question you use, without definition, "shift" to mean only
a one place movement to the right - in my mind: shift(1).

If in the context of your question the shifts are only ever in one
direction, instead of:

Quote:
twice shifted sequence
double shifted sequence
doubly shifted sequence

I would suggest something like:

"sequence shifted two places"

This is "futureproof" in that if you ever need to refer to a larger shift
you will not be left pondering: "once, twice, thrice, err, umm, what's
next?", or the equivalent with double or doubly.

--
Peter Duncanson
UK (posting from a.e.u)
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M_r. Q_u_e_s_t_i_o_n
Guest





Posted: Thu Sep 09, 2004 5:51 pm    Post subject: Re: twice, double, double Reply with quote

"Peter Duncanson" <mail@peterduncanson.net> wrote in message news:b5e0k0lh3s4trgj5p07j1h9fuvi8bkn252@4ax.com...
[snip]
Quote:
I would suggest something like:

"sequence shifted two places"

"sequence shifted two places right/left" - OK?

Quote:

This is "futureproof" in that if you ever need to refer to a larger shift
you will not be left pondering: "once, twice, thrice, err, umm, what's
next?", or the equivalent with double or doubly.

[snip]


Thanks.

Q.
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Peter Duncanson
Guest





Posted: Thu Sep 09, 2004 6:14 pm    Post subject: Re: twice, double, double Reply with quote

On Thu, 9 Sep 2004 14:51:44 +0300, "M_r. Q_u_e_s_t_i_o_n" <me@question.com>
wrote:

Quote:

"Peter Duncanson" <mail@peterduncanson.net> wrote in message news:b5e0k0lh3s4trgj5p07j1h9fuvi8bkn252@4ax.com...
[snip]
I would suggest something like:

"sequence shifted two places"

"sequence shifted two places right/left" - OK?

Yes.

--
Peter Duncanson
UK (posting from a.e.u)
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meirman
Guest





Posted: Thu Sep 09, 2004 6:31 pm    Post subject: Re: twice, double, double Reply with quote

In alt.english.usage on Wed, 8 Sep 2004 09:52:37 +0300 "M_r.
Q_u_e_s_t_i_o_n" <me@question.com> posted:

Quote:
Which is correct:

twice shifted sequence
double shifted sequence
doubly shifted sequence
?

Q.

I would think you should ask people in the Sequence Community, not an
English language newsgroup. Unless this involves a new idea, people
in that field who speak English should already have a term for what
you want.


s/ meirman If you are emailing me please
say if you are posting the same response.

Born west of Pittsburgh Pa. 10 years
Indianapolis, 7 years
Chicago, 6 years
Brooklyn NY 12 years
Baltimore 20 years
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Ayaz Ahmed Khan
Guest





Posted: Thu Sep 09, 2004 10:27 pm    Post subject: Re: twice, double, double Reply with quote

"Odysseus" typed:
Quote:
"M_r. Q_u_e_s_t_i_o_n" wrote:

Let be S = {s1, s2, ..., sn} be some sequences.

Here is a new sequence Q = {a, b, s1, s2, ..., sn},
i.e. Q is twice/double/doubly(?) shifted sequence S with two added elements ('a' and 'b').

I would write "a/the doubly shifted sequence", or "a/the sequence
shifted by two (steps or places)". I think "twice shifted" would be
passable, but I don't much like "double-shifted", even with the hyphen.

To a programmer, `doubly shifted sequence' conjures a sequence than can
be shifted in either direction, such as a `doubly linked-list', whose
every element points not only to the next element but also the one before
it.

--
Ayaz Ahmed Khan, <http://fast-ce.org/linux>
"We blew it -- too big, too slow ..."
-- Bill Gates talking about NT, as noted by Steven McGeady of
Intel during a meeting with Gates.
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