| Topic: |
Science > Physics |
| User: |
"JSH" |
| Date: |
01 Feb 2008 06:59:38 PM |
| Object: |
Solving the factoring problem, very easy solution |
The surprising end to one of the odder periods in human mathematical
history is this discovery of a trivial solution to what is commonly
called the factoring problem which shows that it is VERY easy to
handle factoring even very large primes--when you just know how.
What you do for a target composite T is take two primes p_1 and p_2
(I'm assuming you'd start with primes greater than 100), where first
you take T mod p_1, and find f_1 mod p_1 and f_2 mod p_1 such that
f_1*f_2 = T mod p_1.
So for instance the start would be f_1 = 1 mod p_1, and f_2 = T mod
p_1, and the second would be f_1 = 2 mod p_2 and f_2 = 2^{-1}T mod
p_1, and you go down the line finding every possible residue modulo
p_1 for your factors.
So the correct one must be in that group.
Then you do the same with p_1*p_2, finding g_1 and g_2 such that
g_1*g_2 = T mod p_1*p_2
and go down the line again, getting EVERY possible, so the correct
answer MUST be in the group.
Then you go back through that list modulo p_1 and match back to your
first list, and you have the correct f_1 mod p_1 and f_2 mod p_1, and
then you also get f_1 mod p_2 and f_2 mod p_2 by taking the previous
modulo p_2.
One thing that can happen is that you get two possibles because
negative residues can work, but that's easily handled.
Why does this work?
Because for integer f_1 and f_2 such that f_1*f_2 = T, each has some
residue modulo p_1, as well as a residue modulo p_1*p_2, BUT it is
true that if f_1 = r mod p_1*p_2, then f_1 = r mod p_1.
Trivial example: Consider T = 7(17)=119, and let p_1 = 11 and p_2 =
13. Since I know the factors I'll just note that 7 mod 11 = 7 and 17
mod 11 = 6. While 11(13) = 143, and 119 mod 143 = 119, so 7 mod 143
and 17 mod 143 emerge as solutions and note that 7 mod 143 = 7 mod 11,
and 17 mod 143 = 6 mod 143, so you match back.
Puzzling over how this easy technique is new my guess is that neither
Gauss nor Euler would like it as it is very tedious to do by hand,
while it's perfect for modern computers.
Modern mathematicians tend to start first by considering what was done
before and try to add on, not innovate or find something totally new
from scratch, so somehow they just missed it.
But it does solve the factoring problem.
A large overestimate for the number of primes needed is m such that T/
m! < 1.
So even the largest RSA public key would be handled by I'm sure less
than 200 primes. If you consider primes near 1000 where I remind
there are 168 up to 1000, then the largest search space if p_1 = 101,
and you used a prime very close to 1000 would be about 101000.
So the time would be roughly 168*1000 iterations to handle even the
largest RSA public key.
That means the current encryption system is gone now.
I'd guess that any decent programmer could implement in a couple of
hours.
Governments should act accordingly.
James Harris
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| User: "JSH" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 08:46:23 PM |
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Government for the use of
Europeans and Americans, detest the life they are compelled
to lead. They have a dread and abhorrence of foreigners, and
especially of the foreign soldiers and sailors. _Such girls are
the real slaves in Hong Kong._"
We underscore the last sentence as a most painful fact in the history
of the dealings of the British officials with the native women of
China, set forth on the authority of the Governor of Hong Kong, who,
with the help of Sir John Smale, the Chief Justice, waged such a
fearless warfare against slavery under the British flag, with such
unworthy misrepresentation and opposition on the part of the other
officials equally responsible with them in preserving the good name of
their country, and in defending rather than trampling upon its laws.
Governor Hennessy continues
"To drive Chinese girls into such brothels [i.e., those for the
use of foreigners] was the object of the system of informers which
Mr. C. C. Smith for so many years conducted in this Colony,
and which in his evidence before the Commission on the 3rd of
December, 1877, he defended on the ground of its necessity in
detecting unlicensed houses, but which your Lordship [Lord
Kimberley, Secretary of State for the Colonies] has now justly
stigmatized as a revolting abuse. On another point the Attorney
General also seems not to ap
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| User: "Uncle Al" |
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| Title: Re: Solving the factoring problem, very easy solution |
02 Feb 2008 10:47:08 AM |
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JSH wrote:
[snip crap]
James Harris: Always in error, never in doubt.
That means the current encryption system is gone now.
[snip rest of crap]
Hey schmuck - factor an RSA key for the considerable monetary reward.
***** or get off the pot.
Ode to James Harris
Somebody said it couldn't be done,
But James with a chuckle replied
That "maybe it couldn't," but he would be one
Who wouldn't say so till he'd tried.
So James buckled right in with the trace of a grin
On his face. If he worried he hid it.
James started to sing and he tackled the thing
And James never fucking could do it.
Somebody scoffed: "Oh, you'll never do that;
At least no one has ever done it";
But James took off his coat and he took off his hat,
And the first thing we knew he'd begun it.
With a lift of his chin and a bit of a grin,
Without any doubting or quiddit,
James started to sing and he tackled the thing
And James never fucking could do it.
There are thousands to tell James it cannot be done,
There are thousands to prophesy failure;
There are thousands to point out to James, one by one,
"How hopeless that task set before you."
But just buckle in with a bit of a grin,
James take off your coat and go to it;
Just start to sing as you tackle the thing
And James, you'll never fucking do it.
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2
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| User: "Quadibloc" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 07:40:35 PM |
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Jews.
On the saying in Genesis 8:21: "The imagination of man's heart is evil from
his youth."
R. Moses Haddarschan: This evil leaven is placed in man from the time that
he is formed.
Massechet Succa: This evil leaven has seven names in Scripture. It is called
evil, the foreskin, uncleanness, an enemy, a scandal, a heart of stone, the
north wind; all this signifies the malignity which is concealed and
impressed in the heart of man.
Midrasch Tillim says the same thing and that God will deliver the good
nature of man from the evil.
This malignity is renewed every day against man, as it is written, Psalm
37:32: "The wicked watcheth the righteous, and seeketh to slay him"; but God
will not abandon him. This malignity tries the heart of man in this life and
will accuse him in the other. All this is found in the Talmud.
Midrasch Tillim on Psalm 4:4: "Stand in awe and sin not." Stand in awe and
be afraid of your lust, and it will not lead you into sin. And on Psalm
36:1: "The wicked has said within his own heart: Let not the fear of God be
before me." That is to say that the malignity natural to man has said that
to the wicked.
Midrasch el Kohelet: "Better is a poor and wise child than an old and
foolish king who cannot foresee the future." The child is virtue, and the
king is the malignity of man. It is called king because all the members obey
it, and old because it is in the human heart from infancy to old age, and
foolish because it leads man in the way of perdition, which he does not
foresee. The same thing is in Midrasch Tillim.
Bereschist Rabba on Psalm 35:10: "Lord, all my bones shall bless Thee, which
deliverest the poor from the tyrant." And is there a greater tyrant than the
evil leaven? And on Proverbs 25:21: "If thine enemy be hungry, give him
bread to eat." That is to say, if the evil leaven hunger, give him th
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| User: "JSH" |
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| Title: Re: Solving the factoring problem, very easy solution |
03 Feb 2008 02:59:15 PM |
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On Feb 1, 4:59 pm, JSH <jst...@gmail.com> wrote:
The surprising end to one of the odder periods in human mathematical
history is this discovery of a trivial solution to what is commonly
called the factoring problem which shows that it is VERY easy to
handle factoring even very large primes--when you just know how.
What you do for a target composite T is take two primes p_1 and p_2
(I'm assuming you'd start with primes greater than 100), where first
you take T mod p_1, and find f_1 mod p_1 and f_2 mod p_1 such that
f_1*f_2 = T mod p_1.
Oh, hey, um, that was a stupid idea. Doesn't work.
Just kind of forget that this little incident happened.
Move along...nothing to see here.
___JSH
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| User: "amzoti" |
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| Title: Re: Solving the factoring problem, very easy solution |
01 Feb 2008 07:34:36 PM |
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On Feb 1, 4:59=A0pm, JSH <jst...@gmail.com> wrote:
Governments should act accordingly.
James Harris
Again?
You delusional narcissistic moron - your method doesn't even work!
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| User: "Quadibloc" |
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| Title: Re: Solving the factoring problem, very easy solution |
02 Feb 2008 11:16:03 PM |
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On Feb 1, 5:59 pm, JSH <jst...@gmail.com> wrote:
What you do for a target composite T is take two primes p_1 and p_2
(I'm assuming you'd start with primes greater than 100), where first
you take T mod p_1, and find f_1 mod p_1 and f_2 mod p_1 such that
f_1*f_2 = T mod p_1.
So for instance the start would be f_1 = 1 mod p_1, and f_2 = T mod
p_1, and the second would be f_1 = 2 mod p_2 and f_2 = 2^{-1}T mod
p_1, and you go down the line finding every possible residue modulo
p_1 for your factors.
So the correct one must be in that group.
It's true that if a*b=c, then (a mod N) * (b mod N) = (c mod N).
So, if c is the product of two very large primes a and b, so that a
and b are guaranteed to be relatively prime to N, this should work.
Just two wrinkles.
Wrinkle number one: c mod N may be a prime number. Without either (a
mod N) or (b mod N) having to be 1. Since it isn't really quite true
that
(a mod N) * (b mod N) = (c mod N)
instead,
((a mod N) * (b mod N) mod N) = (c mod N)
Wrinkle number two: If one does factor c mod N, one doesn't know which
factor belongs to a, or to b. So if one has a really big number to
factor, one would have to try 2^(a big number) possibilities if one is
planning to use the Chinese Remainder Theorem.
If not, your method isn't any better than methods that are already
known and used.
Lehmer's little photoelectric contraption with the whirling gears is
commended to your attention.
John Savard
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| User: "JSH" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 08:50:13 PM |
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10,000 slaves,--a number probably unexceeded within the same space
at any time under the British Crown, and, so far as I believe, the
only spot where British law prevails in which slavery in any form
exists at the present time?"
Then he deals with the pretext that this slavery is Chinese custom,
in words we have already quoted in the first chapter of this book. He
passes on to consider and affirm the propriety of the Chief Justice
directing the Attorney General to prosecute these cases, and answers
some of the objections raised by the latter officer, concluding this
portion of his remarks with the words: "What I have said has been
said to meet arguments, doubts, and difficulties which have paralyzed
public opinion and public action here; which arguments, doubts and
difficulties are the less easy to combat because they have been rather
hinted at than avowed."
The Chief Justice then sentenced several prisoners for enticing,
kidnaping or detaining children with intent to sell them into slavery,
to penal servitude for terms ranging from 18 months to 2 years.
On October 20th, Sir John Smale wrote the Governor:
"I cannot understand why such classes should as classes increase
in this Colony at all, unless it be that (in addition to the
Chinese demand for domestic servants and brothels) there be an
increased foreign element increasing the demand. I fear that a
high premium is obtained by persons who kidnap girls in the high
prices which they realize on sale to foreigners as
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| User: "JSH" |
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| Title: Re: Solving the factoring problem, very easy solution |
03 Feb 2008 12:00:01 AM |
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On Feb 2, 9:16 pm, Quadibloc <jsav...@ecn.ab.ca> wrote:
On Feb 1, 5:59 pm, JSH <jst...@gmail.com> wrote:
What you do for a target composite T is take two primes p_1 and p_2
(I'm assuming you'd start with primes greater than 100), where first
you take T mod p_1, and find f_1 mod p_1 and f_2 mod p_1 such that
f_1*f_2 = T mod p_1.
So for instance the start would be f_1 = 1 mod p_1, and f_2 = T mod
p_1, and the second would be f_1 = 2 mod p_2 and f_2 = 2^{-1}T mod
p_1, and you go down the line finding every possible residue modulo
p_1 for your factors.
So the correct one must be in that group.
It's true that if a*b=c, then (a mod N) * (b mod N) = (c mod N).
So, if c is the product of two very large primes a and b, so that a
and b are guaranteed to be relatively prime to N, this should work.
Just two wrinkles.
Wrinkle number one: c mod N may be a prime number. Without either (a
mod N) or (b mod N) having to be 1. Since it isn't really quite true
that
The approach ends the viability of RSA encryption. Only composites
that are the products of two large primes matter.
(a mod N) * (b mod N) = (c mod N)
instead,
((a mod N) * (b mod N) mod N) = (c mod N)
Wrinkle number two: If one does factor c mod N, one doesn't know which
factor belongs to a, or to b. So if one has a really big number to
factor, one would have to try 2^(a big number) possibilities if one is
planning to use the Chinese Remainder Theorem.
Yes you do.
It's trivially easy mathematics.
The best explanation I have now for how the world got in this
situation where an easy technique exists to beat an encryption system
in such wide use is that mathematicians tend to follow each other
versus looking to start from scratch and find a dramatic answer.
But I was trained as a physics student so I look to overturn, not just
build on what came before, but it still took me a few years anyway to
simplify down to the easy answer.
I was looking for something more complex.
If not, your method isn't any better than methods that are already
known and used.
It's a trivially easy solution. People didn't expect that here so
there is that disbelief thing to get past.
But make no mistake, the factoring problem is solved, and shown to be
a trivial bit of number theory TO solve, where past mathematicians
might have zipped past this approach as too tedious with them using
pen and paper, while modern ones didn't believe a simple answer
existed.
Note that the gist of the idea relies on the fact that
(f_1 mod p_1*p_2) mod p_1 = f_1 mod p_1
and that is just trivial.
But here we are, with one day past. Like I said, you may have thought
I was too harsh on the mathematicians before, but if they sit on this
hoping no one notices until something really big crashes, then you'll
think I was too nice about them.
Make no mistake. If no one does anything some really big things can
crash down extremely loudly all over the world.
If nothing else moves you, consider the loss of your funding, as a
snarl ties up money supplies and some of you end up without paychecks
or funds for your physics work.
It's that big.
James Harris
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| User: "gjedwards" |
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| Title: Re: Solving the factoring problem, very easy solution |
03 Feb 2008 04:07:08 AM |
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On 3 Feb, 06:00, JSH <jst...@gmail.com> wrote:
On Feb 2, 9:16 pm, Quadibloc <jsav...@ecn.ab.ca> wrote:
On Feb 1, 5:59 pm, JSH <jst...@gmail.com> wrote:
What you do for a target composite T is take two primes p_1 and p_2
(I'm assuming you'd start with primes greater than 100), where first
you take T mod p_1, and find f_1 mod p_1 and f_2 mod p_1 such that
f_1*f_2 =3D T mod p_1.
So for instance the start would be f_1 =3D 1 mod p_1, and f_2 =3D T mo=
d
p_1, and the second would be f_1 =3D 2 mod p_2 and f_2 =3D 2^{-1}T mod=
p_1, and you go down the line finding every possible residue modulo
p_1 for your factors.
So the correct one must be in that group.
It's true that if a*b=3Dc, then (a mod N) * (b mod N) =3D (c mod N).
So, if c is the product of two very large primes a and b, so that a
and b are guaranteed to be relatively prime to N, this should work.
Just two wrinkles.
Wrinkle number one: c mod N may be a prime number. Without either (a
mod N) or (b mod N) having to be 1. Since it isn't really quite true
that
The approach ends the viability of RSA encryption. =A0Only composites
that are the products of two large primes matter.
(a mod N) * (b mod N) =3D (c mod N)
instead,
((a mod N) * (b mod N) mod N) =3D (c mod N)
Wrinkle number two: If one does factor c mod N, one doesn't know which
factor belongs to a, or to b. So if one has a really big number to
factor, one would have to try 2^(a big number) possibilities if one is
planning to use the Chinese Remainder Theorem.
Yes you do.
It's trivially easy mathematics.
The best explanation I have now for how the world got in this
situation where an easy technique exists to beat an encryption system
in such wide use is that mathematicians tend to follow each other
versus looking to start from scratch and find a dramatic answer.
But I was trained as a physics student so I look to overturn, not just
build on what came before, but it still took me a few years anyway to
simplify down to the easy answer.
I was looking for something more complex.
If not, your method isn't any better than methods that are already
known and used.
It's a trivially easy solution. =A0People didn't expect that here so
there is that disbelief thing to get past.
But make no mistake, the factoring problem is solved, and shown to be
a trivial bit of number theory TO solve, where past mathematicians
might have zipped past this approach as too tedious with them using
pen and paper, while modern ones didn't believe a simple answer
existed.
Note that the gist of the idea relies on the fact that
(f_1 mod p_1*p_2) mod p_1 =3D f_1 mod p_1
and that is just trivial.
But here we are, with one day past. =A0Like I said, you may have thought
I was too harsh on the mathematicians before, but if they sit on this
hoping no one notices until something really big crashes, then you'll
think I was too nice about them.
Make no mistake. =A0If no one does anything some really big things can
crash down extremely loudly all over the world.
If nothing else moves you, consider the loss of your funding, as a
snarl ties up money supplies and some of you end up without paychecks
or funds for your physics work.
It's that big.
James Harris- Hide quoted text -
- Show quoted text -
Wow, you solved it AGAIN. So many solutions, and yet so few factors...
I've got it! Everyone is too scared to be first to post the factors of
a big RSA number, so programmers all over the world HAVE implemented
your method, got it to work, but they're all afraid to say so. Yes,
that's it!
Cool, another one ticked off, now you can go back and finish that
stuff that began with p mod 3 producing a random sequence. I suspect
the Goldbach conjecture will fall on the back of that work, or did you
already solve it? - I can't keep track nowadays, you do so much great
work!
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| User: "amzoti" |
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| Title: Re: Solving the factoring problem, very easy solution |
03 Feb 2008 12:25:29 AM |
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On Feb 2, 10:00=A0pm, JSH <jst...@gmail.com> wrote:
Make no mistake. =A0If no one does anything some really big things can
crash down extremely loudly all over the world.
If nothing else moves you, consider the loss of your funding, as a
snarl ties up money supplies and some of you end up without paychecks
or funds for your physics work.
It's that big.
James Harris
You delusional narcissist - your method doesn't even work!
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| User: "JSH" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 06:45:56 PM |
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The compounds are composed of
elements, and the elements not. O presumptuous man! Here is a fine
reflection. We must not say that there is anything which we do not see. We
must then talk like others, but not think like them.
267. The last proceeding of reason is to recognise that there is an infinity
of things which are beyond it. It is but feeble if it does not see so far as
to know this. But if natural things are beyond it, what will be said of
supernatural?
268. Submission.--We must know where to doubt, where to feel certain, where
to submit. He who does not do so understands not the force of reason. There
are some who offend against these three rules, either by affirming
everything as demonstrative, from want of knowing what demonstration is; or
by doubting everything, from want of knowing where to submit; or by
submitting in everything, from want of knowing where they must judge.
269. Submission is the use of reason in which consists true Christianity.
270. Saint Augustine.--Reason would never submit, if it did not judge that
there are some occasions on which it ought to submit. It is then right for
it to submit, when it judges that it ought to submit.
271. Wisdom sends us to childhood. Nisi efficiamini sicut parvuli.38
272. There is nothing so conformable to reason as this disavowal of reason.
273. If we submit everything to reason, our religion will have no mysterious
and supernatural element. If we offend the principles of reason, our
religion will be absurd and ridiculous.
274. All our reasoning reduces itself to yielding to feeling.
But fancy is like, though contrary to, feeling, so that we cannot
distinguish between these contraries. One person says that my feeling is
fancy, another that his fancy is feeling. We should have a rule. Reason
o
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| User: "amzoti" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 08:54:48 PM |
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_is undoubted_; but the good it might do, were all
the unlicensed brothels suppressed, was incalculable.'"
"In 1867 (after ten years' experience) the _public_ was informed
that the Ordinance had been 'on trial for nearly ten years, and
_had done singular service_.'"
_Yet in this very same year_--1867, April 19th--"Dr. Murray stated
in an _Official Report not intended for publication_, but found
by the Commission among other Government papers, and
published,--'That venereal disease has been _on the increase_,
in spite of all that has been done to check it, _is no new
discovery_; it has already been brought before the notice of His
Excellency.'" (Report, p. 35, pars. 4 and 5.)
What is to be thought of the character of such reports for the
_Public_, and such an _Official Report_, "not _intended_ to be
_published_"?
This same Dr. Murray's Annual Report for the _Public_ for
1867, was _actually put in evidence before the House of Lords'
Committee_ on venereal diseases--1868, page 135. "Venereal disease
here has now become of _comparatively rare occurrence_." Yet the
_Army_ Report for the previous year (1866, page 115) states that
"the admissions to hospital for venereal disease were 281 per 1000
men;" i.e., more than one man in four of the whole soldiery had
been in hospital for this "comparatively rare" disease.
As regards the Navy, Dr. Murra
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| User: "amzoti" |
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| Title: Re: Solving the factoring problem, very easy solution |
06 Feb 2008 05:51:23 PM |
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and is astonished in the uncertainty
of its being; perceiving in fact that it is not a body, and still not seeing
that it is a member of a body. In short, when it comes to know itself, it
has returned, as it were, to its own home, and loves itself only for the
body. It deplores its past wanderings.
It cannot by its nature love any other thing, except for itself and to
subject it to self, because each thing loves itself more than all. But, in
loving the body, it loves itself, because it only exists in it, by it, and
for it. Qui adhaeret Deo unus spiritus est.76
The body loves the hand; and the hand, if it had a will, should love itself
in the same way as it is loved by the soul. All love which goes beyond this
is unfair.
Adhaerens Deo unus spiritus est. We love ourselves, because we are members
of Jesus Christ. We love Jesus Christ, because He is the body of which we
are members. All is one, one is in the other, like the Three Persons.
484. Two laws suffice to rule the whole Christian Republic better than all
the laws of statecraft.
485. The true and only virtue, then, is to hate self (for we are hateful on
account of lust) and to seek a truly lovable being to love. But as we cannot
love what is outside ourselves, we must love a being who is in us and is not
ourselves; and that is true of each and a
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| User: "gjedwards" |
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| Title: Re: Solving the factoring problem, very easy solution |
06 Feb 2008 05:04:42 PM |
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angel from heaven. We must not judge of truth by
miracles, but of miracles by truth. Therefore the miracles are useless.
Now they are of use, and they must not be in opposition to the truth.
Therefore what Father Lingende has said that "God will not permit that a
miracle may lead into error..."
When there shall be a controversy in the same Church, miracle will decide.
Second objection: "But Antichrist will do miracles."
The magicians of Pharaoh did not entice to error. Thus we cannot say to
Jesus respecting Antichrist, "You have led me into error." For Antichrist
will do them against Jesus Christ, and so they cannot lead into error.
Either God will not permit false miracles, or He will procure greater.
Jesus Christ has existed since the beginning of the world: this is more
impressive than all the miracles of Antichrist.
If in the same Church there should happen a miracle on the side of those in
error, men would be led into error. Schism is visible; a miracle is visible.
But schism is more a sign of error than a miracle is a sign of truth.
Therefore a miracle cannot lead into error.
But, apart from schism, error is not so obvious as a miracle is obvious.
Therefore a miracle could lead into error.
Ubi est Deus tuus?209 Miracles show Him, and are a light.
847. One of the anthems for Vespers at Christmas: Exortum est in tenebris
lumen rectis corde.[210]
848. If the compassion of God is so great that He instructs us to our
benefit, even when He hides Himself, what light ought we not to expect from
Him when He reveals Himself?
849. Will Est et non est.211 be received in faith itself as well as in
miracles? And if it
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| User: "gjedwards" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 08:54:51 PM |
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are allowed to exist
here to import these slaves. Imprison the importers, and the slaves
are rescued. That is the short road to freedom. But that was not the
path pursued by officials in general at Hong Kong, nor is that course
being pursued in the United States. This sewing woman has been
returned to her home. Many another woman has at equal peril to herself
made her complaint and it has fallen upon the deaf ears of officials,
and the poor slave has had to settle with her masters for her
fool-hardiness.
Now we will return to Hong Kong, and to past history. We will cite
just one more case to show something of the reluctance of officials
there to prosecute the traffickers in human flesh. A Chinaman, Tsang
San-Fat, petitioned the Colonial Secretary at Hong Kong in regard to
the custody of his little daughter, whom, "under stress of poverty,"
he had given away to a man named Leung A-Tsit, the October previous,
the understanding being that the latter should find her a husband when
she grew up, and should not send her away to other ports. In May the
parents learned from A-Sin, employed by Leung A-Tsit, that the latter
was going to take away the little girl to another place. After taxing
the man with this, and receiving only excuses in reply, the father
petitioned that Leung A-Tsit should be prevented from carrying out
his design. Leung A-Tsit filed a counter-petition, stating that Tsang
San-Fat, being unable to support a family, handed over to him his
little daughter, aged six years; that the little girl was to become
his daughter and to be brought up by him, he paying $23 to the
parents. He accused the father of trying to extort money from him, and
appealed for "protection" from "impending calamities." Later, further
facts came out, showing that the father of the child had borrowed $5
three years b
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| User: "JSH" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 08:55:10 PM |
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are willing
to submit to the law, they may remain, but on condition of obeying
the law, whether it accords with their notions of right or wrong
or not; and, if remaining they act contrary to the law, they must
take the consequences.... I shall deal with these people when I
shall have more fully considered the case."
During the proceedings of the trial of these two prisoners, the
Attorney General had declared his intention not to call the former
owners of the child, Wai Alan, the woman who beat the child, or Pao
Chee Wan, her husband. The Chief Justice now said:
"I now direct you, Mr. Attorney General, to prosecute these two
people, Pao Chee Wan and Wai Alan." Attorney General:--"My Lord,
I intimated before that this matter was under consideration; I do
not think I am at liberty to say under whose consideration."
His Lordship:--"I direct the prosecution, and will take the
responsibility. It is the course in England and I will pursue it
here." The Attorney General:--"You have publicly directed it;
and I will report it to the proper quarter." His Lordship:--"The
Attorney General at home is constantly ordered by the Court to
prosecute. On my responsibility alone I do this." The Attorney
General:--"May I ask your Lordship to say on what charge?" His
Lordship:--"Under Sections 50 and 51 of No. 4 of 1865, and also
for assault." The Attorney General continued to raise objections,
when the Ch
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| User: "amzoti" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 06:11:12 PM |
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even before any
distinct and particular discoveries of mercy. Often they then come to a
conclusion within themselves, that they will lie at God's feet, and wait
His time; and they rest in that, not being sensible that the Spirit of
God has now brought them to a frame whereby they are prepared for mercy.
For it is remarkable, that persons when they first have this sense of
the justice of God, rarely, at the time, think any thing of its being
that humiliation they have often heard insisted on, and that others
experience.
In many persons, the first conviction of the justice of God in their
condemnation which they take particular notice of, and probably the
first distinct conviction of it that they have, is of such a nature, as
seems to be above any thing merely legal. Though it be after legal
humblings, and much of a sense of their own helplessness, and of the
insufficiency of their own duties; yet it does not appear to be forced
by mere legal terrors and convictions, but rather from a high exercise
of grace, in saving repentance, and evangelical humiliation. For there
is in it a sort of complacency of soul in the attribute of God's
justice, as displayed in His threatenings of eternal damnation to
sinners. Sometimes at the discovery of it, they can scarcely forbear
crying out, It is just! It is just! Some express themselves, that they
could see the glory of God would shine bright in their own condemnation;
and they are ready to think that if they are damned, they could take
part with God against themselves, and would glorify His justice therein.
And when it is thus, they commonly have some evident sense of free and
all-sufficient grace, though they give no distinct account of it; but it
is manifest, by that great degree of hope and encouragement they then
conceive, though they were never so sensible of their own vileness and
ill-deservings as they are at that time.
Some, when
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| User: "Uncle Al" |
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| Title: Re: Solving the factoring problem, very easy solution |
06 Feb 2008 05:43:43 PM |
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in
having extracted so fair an order from lust.
404. The greatest baseness of man is the pursuit of glory. But is the
greatest mark of his excellence; for whatever possessions he may have on
earth, whatever health and essential comfort, he is not satisfied if he has
not the esteem of men. He values human reason so highly that, whatever
advantages he may have on earth, he is not content if he is not also ranked
highly in the judgement of man. This is the finest position in the world.
Nothing can turn him from that desire, which is the most indelible quality
of man's heart.
And those who must despise men, and put them on a level with the brutes, yet
wish to be admired and believed by men, and contradict themselves by their
own feelings; their nature, which is stronger than all, convincing them of
the greatness of man more forcibly than reason convinces them of their
baseness.
405. Contradiction.--Pride counterbalancing all miseries. Man either hides
his miseries, or, if he disclose them, glories in knowing them.
406. Pride counterbalances and takes away all miseries. Here is a strange
monster and a very plain aberration. He is fallen from his place and is
anxiously seeking it. This is what all men do. Let us see who will have
found it.
407. When malice has reason on its side, it becomes proud and parades reason
in all its splendour. When a
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| User: "Quadibloc" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 08:54:18 PM |
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left San Francisco and resided for
a time in an inland town. Here an effort was made to kill her in
her own garden one evening. Her husband brought her back to San
Francisco, and later she went back to China.
No. 4. Came from a brothel on Spofford alley. She was occasionally
allowed to attend the (Chinese) theatre. One evening when at the
theatre she had word conveyed to the Mission to come get her
immediately. The rescuer did so, and the girl promptly arose, when
the rescuer entered the room, from the front tier of seats, and
seizing the hand of the missionary in the presence of them
all climbed over the backs of two seats, regardless of their
occupants, and escaped. Later she was married and returned to
China.
No. 5. In a dark, dismal room where the sun never shone lay a poor
Chinese woman helpless with rheumatism. She had a baby girl 10
months old and was too sick to care for it. The invalid felt
forced to put the child in the hands of a friend she trusted, who
promised to care for it, and advanced money for the sick woman.
When the mother got better she worked two years and saved until
she had enough money to buy the child back, but the cruel woman
who had got possession of it refused
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| User: "amzoti" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 08:47:57 PM |
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on the wall, a black bag, which we were allowed to take down and
examine. It contained a board eight by ten inches square, on which
was pasted a paper bearing a list of the inmates. The list was
headed by the keeper's name, Moo Lee, in writing. Then was printed
across the top in Chinese characters a statement that inmates
could not be confined against their will. (The question was
whether, in our absence, the girls would be allowed to take this
bag down, open it, and read the sentence of liberty inside.) We
showed this to the girls, and asked them if they could read the
Chinese written thereon, and they all, even to the brothel-keeper,
said they could not. We then asked them what was the _meaning_ of
the words, and none of them could tell. One girl said, 'We cannot
read them, but the great man at the Protectorate can read them.'
We asked them if they had tickets, and they showed us little
square pieces of paper exactly similar to one which we hold in
our possession. The tickets were all so blurred that the educated
Chinese gentleman who accompanied us tried in vain to make out its
full meaning. It is by means of these things, put in the hands of
Chinese women who are utterly unable to read a word of Chinese,
that their liberty is professedly given them."
Now as to the case of Ah Moi, of whom the Inspector spoke as
illustrating the beneficent work of the Protectorate. He had little
idea how much we knew of the case or he would never have brought it
up. There is at Singapore a Refuge
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| User: "JSH" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 07:00:53 PM |
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to be revealed.
"Blessed is the man that doeth this, that keepeth the Sabbath, and keepeth
his hand from doing any evil.
"Neither let the strangers that have joined themselves to me, say, God will
separate me from His people. For thus saith the Lord: Whoever will keep my
Sabbath, and choose the things that please me, and take hold of my covenant;
even unto them will I give in mine house a place and a name better than that
of sons and of daughters: I will give them an everlasting name, that shall
not be cut off."
Is. 59:9: "Therefore for our iniquities is justice far from us: we wait for
light, but behold obscurity; for brightness, but we walk in darkness. We
grope for the wall like the blind; we stumble at noonday as in the night: we
are in desolate places as dead men.
"We roar all like bears, and mourn sore like doves; we look for judgment,
but there is none; for salvation, but it is far from us."
Is. 66:18: "But I know their works and their thoughts; it shall come that I
will gather all nations and tongues, and they shall see my glory.
"And I will set a sign among them, and I will send those that escape of them
unto the nations, to Africa, to Lydia, to Italy, to Greece, and to the
people that have not heard my fame, neither have seen my glory. And they
shall bring your brethren.
Jer. 7. Reprobation of the Temple: "Go ye unto Shiloth, where I set my name
at the first, and see what I did to it for the wickedness of my people. And
now, bec
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| User: "Uncle Al" |
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| Title: Re: Solving the factoring problem, very easy solution |
05 Feb 2008 08:54:02 PM |
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understand the
conditions under which the slave women coming to our Pacific Coast
have lived in times past, the recital is necessary. Happy for us if we
never needed to know any of these dark chapters of human history and
human wrongs! Sad indeed for the thoughtless, and bringing only harm,
if such an account as we have to give should be read merely out of
curiosity or for entertainment. There is either ennoblement or injury
in what we have to say, according to the spirit brought to the task
of reading it. Think quietly, then, dear reader, for one moment. From
what motive will you read our recital? We do not write what is lawful
to the merely inquisitive. Then, will you continue to read from a
worthier motive? If not, we pray you, close the book, and pass it on
to someone more serious minded. Our message is only for those who will
hear with the desire to help. But do not say: "I am too ignorant as to
what to do, I am too weak, or I am too lowly, and without talents or
influence." No, you are not. There is a place for you to help. God
will show it to you, if this book does not suggest a practicable plan
for you. What we wish to accomplish, and what we must accomplish, if
at all, by just such aid as you can give, sums itself up in this: We
must make our officers of the law understand that _the question of
slavery has been settled once for all_ in the United States, by
the Civil War, and we will have none of it again. It will never be
tolerated under the Stars and Stripes; and when you can think of
nothing else to do, you can always go aside and cry to the Judge of
all the earth to "execute righteousness and judgment for all that are
oppressed," as He
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| User: "JSH" |
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| Title: Re: Solving the factoring problem, very easy solution |
06 Feb 2008 04:58:56 PM |
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universally corrupt, but that a
Redeemer should come; that it is not one man who said it, but innumerable
men, and a whole nation expressly made for the purpose and prophesying for
four thousand years. This is a nation which is more ancient than every other
nation. Their books, scattered abroad, are four thousand years old.
The more I examine them, the more truths I find in them: an entire nation
foretell Him before His advent, and an entire nation worship Him after His
advent; what has preceded and what has followed; in short, people without
idols and kings, this synagogue which was foretold, and these wretches who
frequent it and who, being our enemies, are admirable witnesses of the truth
of these prophecies, wherein their wretchedness and even their blindness are
foretold.
I find this succession, this religion, wholly divine in its authority, in
its duration, in its perpetuity, in its morality, in its conduct, in its
doctrine, in its effects. The frightful darkness of the Jews was foretold.
Eris palpans in meridie.144 Dabitur liber scienti literas... et dicet: Non
possum legere.145 While the sceptre was still in the hands of the first
foreign usurper, there is the report of the coming of Jesus Christ.
So I hold out my arms to my Redeemer, who, having been foretold for four
thousand years, has come to suffer and to die for me on earth, at the time
and under all the circumstances foretold. By His grace, I await death in
peace, in the hope of being eternally united to Him. Yet I live with joy,
whether in the prosperity which it pleases Him to bestow
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