Show Posts

This section allows you to view all posts made by this member. Note that you can only see posts made in areas you currently have access to.

Topics - parsec

Pages: [1] 2
The Lounge / Bye FES
« on: September 09, 2011, 10:26:50 PM »
The time has come to move on from this site. This place had been a huge mind-opener (those who understand will know what I'm talking about), supporter through the hard times and a place for some random laughs. However, I feel like I don't have anything more to contribute and that the people I knew faded out. I wish everyone all the best and I hope to see a movie about the ideas put forth on this website at some point.


Suggestions & Concerns / MathJaX support
« on: May 18, 2011, 04:53:03 AM »
A while ago, I asked if we could have LaTeX support on these forums. Recently I became aware of MathJaX, a(n Open Source) JavaScript display engine that works in all modern browsers. I was just wondering if it would be possible to implement its use on this website?

The Lounge / Happy π Day
« on: March 14, 2011, 07:36:11 AM »
Maybe PizzaPlanet could honor us with some of his artistic shenanigans.

The Lounge / Karma
« on: March 06, 2011, 02:33:04 PM »
What does it mean on some fora?

Philosophy, Religion & Society / This is why we can't have nice things
« on: February 28, 2011, 07:36:23 AM »

Suggestions & Concerns / Horatio's behavior is annoying as of late
« on: January 15, 2011, 02:36:26 PM »
I am particularly referring to his posts in this thread:

It is obvious he is trying to impose his narrow-minded world outlook on everyone else. He disrupts genuine efforts of people to make sense of the things happening around them in an open and civilized discourse. For this he is not

Suggestions & Concerns / This user concerns me
« on: December 20, 2010, 10:28:28 PM »
newnewman001 is spamming the fora with jersey ads and NFL related memorabilia. I suggest it be banned.

Flat Earth General / Wikileaks
« on: November 30, 2010, 06:13:08 AM »
Do you think we could expect top-secret Conspiracy documents popping up on Wikileaks any time soon?

The Lounge / Happy Thanksgiving
« on: November 25, 2010, 11:18:20 AM »
Quote from: Abraham Lincoln link= date=-3352795200
The year that is drawing towards its close, has been filled with the blessings of fruitful fields and healthful skies. To these bounties, which are so constantly enjoyed that we are prone to forget the source from which they come, others have been added, which are of so extraordinary a nature, that they cannot fail to penetrate and soften even the heart which is habitually insensible to the ever watchful providence of Almighty God. In the midst of a civil war of unequaled magnitude and severity, which has sometimes seemed to foreign States to invite and to provoke their aggression, peace has been preserved with all nations, order has been maintained, the laws have been respected and obeyed, and harmony has prevailed everywhere except in the theatre of military conflict; while that theatre has been greatly contracted by the advancing armies and navies of the Union. Needful diversions of wealth and of strength from the fields of peaceful industry to the national defence, have not arrested the plough, the shuttle or the ship; the axe has enlarged the borders of our settlements, and the mines, as well of iron and coal as of the precious metals, have yielded even more abundantly than heretofore. Population has steadily increased, notwithstanding the waste that has been made in the camp, the siege and the battle-field; and the country, rejoicing in the consiousness of augmented strength and vigor, is permitted to expect continuance of years with large increase of freedom. No human counsel hath devised nor hath any mortal hand worked out these great things. They are the gracious gifts of the Most High God, who, while dealing with us in anger for our sins, hath nevertheless remembered mercy. It has seemed to me fit and proper that they should be solemnly, reverently and gratefully acknowledged as with one heart and one voice by the whole American People. I do therefore invite my fellow citizens in every part of the United States, and also those who are at sea and those who are sojourning in foreign lands, to set apart and observe the last Thursday of November next, as a day of Thanksgiving and Praise to our beneficent Father who dwelleth in the Heavens. And I recommend to them that while offering up the ascriptions justly due to Him for such singular deliverances and blessings, they do also, with humble penitence for our national perverseness and disobedience, commend to His tender care all those who have become widows, orphans, mourners or sufferers in the lamentable civil strife in which we are unavoidably engaged, and fervently implore the interposition of the Almighty Hand to heal the wounds of the nation and to restore it as soon as may be consistent with the Divine purposes to the full enjoyment of peace, harmony, tranquillity and Union.

Suggestions & Concerns / Crustinator's account
« on: September 14, 2010, 04:14:15 PM »
I am affraid his account had been compromised by a third party who uses it to spew spam on the boards. I think the account ought to be disabled until the issue is resolved.

Suggestions & Concerns / Report Private Messages
« on: August 12, 2010, 07:46:35 AM »
How is it done?

Arts & Entertainment / I am the Walrus
« on: July 25, 2010, 07:24:00 PM »
goo goo g'joob.

Suggestions & Concerns / Is Wilmore's account hacked again?
« on: July 19, 2010, 05:12:19 PM »
I have just received a PM by 'Lord Wilmore' named 'Recent Spam threads' with a broken link (it took my browser a long time trying to open such a short message). I noticed that 'Lord Wilmore' had a zero post count and is registered today:

The link in my PM is:

Code: [Select]
www dot gayslacker dot com/wp-content/uploads/2007/05/gay-twinks.jpg

What's going on?

Suggestions & Concerns / What is the Lounge forum
« on: July 13, 2010, 01:59:36 PM »
And its subforum?

The Lounge / Rihanna - Umbrella
« on: July 12, 2010, 09:38:44 PM »

I know at least one person on these boards thinks this way. Discuss.

Technology, Science & Alt Science / The Jewish year
« on: March 18, 2010, 08:13:42 PM »
In the FE Universe, there are two kinematical fundamental constants:

1) speed of light in vacuum c;

2) acceleration of free fall g.

We note that, unlike the RE case, where g is a parameter relevant to the Earth only, which is just another planet of the Solar System, in FET, it is a true fundamental constant of Nature, having something to do with the mechanism behind the UA.

From these constants, one can construct a quantity with the dimension of time. We can do this with dimensional analysis. The dimensions of the two constants are:
[c] = L T-1

[g] = L T-2
We can cancel the dimension of length L by dividing the two:
c/g = (L T-1)/(L T-2) = T
It's numerical value is:
(2.998 x 108 m/s)/(9.81 m/s2) = 3.06 x 107 s

A natural unit of time (both in FET and RET) is the Solar day, the time it takes the sun to cross the same point on the sky. It is taken to be:

1 d = 24 h = 24 h x 60 min/1 h x 60 s/1 min = 86,400 s

So, the above quantity with the dimensions of length takes a value:
3.06 x 107 s x 1 d/(8.64x104 s) = 354 d

Amazingly, this is the length of one regular year in the Hebrew calendar. This calendar is lunisolar and it is based on the so called Methonos' cycle, after the Ancient Greek astronomer who discovered it. The cycle is an approximate common multiplier of the length of the siderial year, synodic month and solar day:

19 y = 235 months = 6940 d

This makes 235/19 = 12 remainder 7, i.e. 7 leap years in a 19 year cycle The leap years have an extra month (Adar I) relative to the other years that have 12 months. The length of one month is 6940/235 = 29.53 d is varying between 29 and 30 days, so an average year has 6 29 day and 6 30 day months giving a total of 354 days. There are years with 355 days and leap years with 384 and 385 days, but the important thing is that the ratio is very close to the above calculated value.

So, the question that naturally arises is, is this a simple coincidence, or is there some more profound law of nature, governing the motion of the Sun and the Moon and its relation to the mechanisms of the UA?

Philosophy, Religion & Society / Ceteris Paribus
« on: March 07, 2010, 01:09:46 PM »
Today, the two most populous countries in the World are PR China and India. The table below summarizes the essential data for our further analysis.

      Population Population Growth Rate Part of Total Population Rel. Growth Quotient
World 6,790,062,216 1.133% 100.00% 1.00000
PR China 1,338,612,968 0.655% 19.714% 0.99527
India 1,156,897,766 1.407% 17.038% 1.00271

The first two columns are actual data and the last two are calculated. The "Part of the total population" entry is simply calculated as the ratio of the population of that entry to the entry in the World population expressed in percent with 5 significant figures. We see that today China and India make up almost 37% of the total World Population.

The last entry needs some explanation. It has to do with the way we calculate compounding quantities. The population growth rate is the ratio of the increase of the population in the given year to the present population expressed in percent. Let's say the population in year 1 is P1 and in the year after is P2. Then, the increase in population during that year is ΔP = P2 - P1 and the growth rate is given as:
gr = ΔP/P1 * 100% = (P2 - P1)/P1 * 100%.

We can solve this equation for P2 to get:
P2 = P1 * (1 + gr/100%).

The factor in the parenthesis occurs very often and I call it the Growth Quotient q:
q = 1 + gr/100%.

For example, India has a population growth rate of  1.407%. This means it has a population growth quotient 1.01407. If the growth rate is negative, for example -0.601%, then the growth quotient is less than 1, in this case 1.00000 - 0.00601 = 0.99399. Because the growth rates were reported with three decimal places, the growth quotient has 5 decimal places, as reflected in the fourth column of the above table.

Now, the ratio of the population in the third year to the population in the second year is the same as the one in the second year is to the population in the first, i.e. it is equal to the growth quotient q (assuming stays the same, hence cetris paribus):

So, we have:
P3 = P2 * q = P1 * q2

P4 = P3 * q = P1 * q3

Pn = P1 * qn - 1

So, what is the relative growth quotient? Well, if we want to answer the question how the ratio between two populations changes over the years, then we use the compounding formula for both of them. Then the ratio becomes:
rn = P'n/Pn = (P'1 * q'n - 1)/(P1 * qn - 1)

rn = r1 * (q'/q)n - 1,   r1 = P'1/P1
We see that the ratio of the growth quotients is essential in determining how the ratio of two compounding populations changes over time. So, the Relative Growth Quotient qrel is equal to:
qrel = q/qTOT
and it determines how the relative part of a certain population changes with respect to the whole. If the relative growth quotient is smaller than 1, then the relative part of that country's population in the World will decrease, like for China, for example, while in the other case it would increase, like for China.

We may ask ourselves, ceteris paribus, after how many years (x = n - 1) will India's Population become equal to that of PR China. Using the compound growth formula, we get the equation:

1,156,897,766 * 1.01407x = 1,338,612,968 * 1.00655x.

With some algebraic manipulation, we can transform this equation in the form:
(1.01407/1.00655)x = 1,338,612,968/1,156,897,766
This is the canonical form of an exponential equation, where the unknown is in the exponential. Taking the logarithm of both sides and using the properties of logarithms, we get:

x*log(1.01407/1.00655) = log(1,338,612,968/1,156,897,766)

x*[log(1.01407) - log(1.00655)] = log(1,338,612,968) - log(1,156,897,766)

x*(0.00607 - 0.00284) = 9.12666 - 9.06329

0.00323*x = 0.06337

x = 19.6

So, we expect their populations be equal in 20 years.

Another, more interesting question is to answer whether the relative part of these two nations combined increases or decreases. To answer that, we write the formula for the relative part of their population is a function of years passed:

r(x) = 0.19714*0.99527x + 0.17038*1.00271x

Because the relative part of PR China decreases, while the relative part of India increases, it is not straightforward to see if this will increase or decrease. Calculus provides the answer. Taking the derivative with respect to x (and using (qx)' = qx*ln q), we get:

r'(x) = 0.19714*ln(0.99527)*0.99527x + 0.17038*ln(1.00271)*1.00271x

r'(x) =  -9.3469*10-4*0.99527x + 4.6111*10-4*1.00271x

r'(0) =  -9.3469*10-4 + 4.6111*10-4 = -4.7358*10-4 < 0

This means that the relative part of these two nations will actually decrease. The trend will continue as long as r'(x) < 0. This is as long as:

-9.3469*10-4*0.99527x + 4.6111*10-4*1.00271x < 0

4.6111*10-4*1.00271x < 9.3469*10-4*0.99527x

(1.00271/0.99527)x < 9.3469/4.6111

x*[log(1.00271) - log(0.99527)] < log(9.3469) - log(4.6111)

x*(0.00118 - (-0.00206)) < 0.9707 - 0.6638

0.00324*x < 0.3069

x < 94.7
In the next 95 years!

Suggestions & Concerns / The "alt+s"
« on: January 29, 2010, 11:28:34 PM »
Is it just my browser or does the "Alt+s" function not work anymore?

Suggestions & Concerns / The mistletoe has to go
« on: January 28, 2010, 04:41:53 PM »
The FES logo has it. It's almost February guys. It's time to remove it.

Technology, Science & Alt Science / An Interpolation problem
« on: January 13, 2010, 09:02:21 AM »
Suppose you measured that the furthest point on the surface of the Earth that can be seen from an observational point at a height h above the Earth's surface is at a distance s measured along the Earth's surface and you got the following data:


What can you deduce about the shape of the Earth and its dimensions? Keep in mind that 1 mi = 5280 ft.

The Lounge / Haiti Earthquake
« on: January 13, 2010, 07:43:11 AM »
The strongest earthquake in the last 200 years hit the capital of Haiti, Port-au-Prince. As many as 10,000 people are believed dead or missing. Most of the buildings are ruins. There are some signs from the International community, led by the U.S. that relief support will be sent on Wednesday. Let us hope that it will not come too late.

Flat Earth Debate / Proofs of varying gravity
« on: December 28, 2009, 01:23:00 AM »
Here we post conclusive evidence that gravity varies  with height. Let me start:

Sorry, gravity isn't always 'down' it can be in any direction, the deplection of plum bobs near mountains clearly shows this.

The Lounge / Interesting news
« on: December 20, 2009, 11:21:27 AM »
A Dutch teenager Laura Dekker planned on sailing around the world. She was in custody of the state which did not let her undertake this feat. She planned to break Mike Perham record in being the youngest person who would sail around the world.

I recently heard that there is some 16 year old girl in California planning to do the same thing. Does this have something to do with the Conspiracy?

Technology, Science & Alt Science / Weird Math
« on: December 13, 2009, 12:27:34 PM »
Apparently, 1 + 1 + 1 + 1 + ... = -1/2.

Namely, let:

x = 1 + 1 + 1 + ...


y = 1 - 1 + 1 - 1 + ...

It is 'obvious' then that:

x = 1 + 1 + 1 + 1 + ... = (1 - 1 + 1 - 1 + ... ) + 2*(1 + 1 + ... )


x = y + 2*x

x = -y

Now, to calculate y, we notice that it is a geometric series:

y = (-1)^0 + (-1)^1 + (-1)^2 + (-1)^3 + ...

Multiply it by (-1), we get:

-y = (-1)^1 + (-1)^2 + (-1)^3 + ... = [(-1)^0 + (-1)^1 + (-1)^2 + (-1)^3 + ...] - (-1)^0


-y = y - 1

1 = 2*y

y = 1/2

From here, we get the quoted result that x = -1/2.

Similarly, but also using differentiation, one can prove that 1 + 2 + 3 + 4 + ... = -1/12.

Technology, Science & Alt Science / How does Insurance work?
« on: December 08, 2009, 12:12:42 PM »
Suppose we play the following game:

We wager on a random event with two possible outcomes. One favorable, with probability p and the opposoite, unfavorable outcome with probability q (p + q = 1). The rule is, if the favorable outcome is fullfilled, we get k times the amount we have placed as a bet, and which we will take to be unity. If, on the other hand, the unfavorable outcome happens, we simply lose the deposit. Of course, it is obvious that k > 1, otherwise the game is a pure ripoff, since, regardless of the outcome, we will always get less money than we deposited, thus making a loss. We see that even the case k = 1 is unfavorable for the wager, since we can at most get what we deposited. This game would then be rather unappealing to us.

When should we consider participating in this game? Of course, when the gains outweigh the costs. But, how do we measure these in a situation where uncertainity is inherent? First of all, our cost is clearly the amount we have deposited, which was taken to be unity by definition.  But, our gains are uncertain. The gain is a random variable with the following possibibilities:

G = k0

One measure of the average gain would be to calculate the mathematical expectation of the Gain:

E G = p*k + q*0 = p*k

If this is greater than 1, then we could consider playing the game. But, we run into two problems. First of all, how do we know what p is? And, secondly, what does this mathematical expectation actually measure? The usual lesson from Mathematical Statistics is that the mathematical expectation for a random variable (here G) is the value towards which, the average value of many occurances of the same trial would tend to in probability. This answers the question for measuring the probability as well, since the Indicator of an event I(A) is a random variable that gets the value 1 when the event occurs and 0 in the opposite case. So, it's just like the variable G from above but with k = 1. We see that the mathematical expectation of the indicator is equal to the probability of the event. The average value of the event, after n trials when m turned out to be favorable (0 ≤ mn), is simply equal to the relative frequency m/n of occurances of the event under consideration.

Flat Earth Q&A / Does FE rotate around an axis or not?
« on: November 21, 2009, 11:40:47 PM »
I heard there are several models of FE currently under consideration. In which one of those does the FE rotate. And, since motion is relative, you have to say according to which FoR does the Earth rotate.

I am certainly no expert in this subject and this is mainly the reason why I pose this question. Maybe there is already something like this that regulates who is retarded and what their rights are. However, if nothing more, I think it is at least an interesting issue.

I will just give one example how I come up with this question. Many jurisdictions all accross the World are facing the issue whether to abolish the captial punishment or not. While this in itself is a topic of discussion, I want to look at it from a different perspective. Many convicted avoid such a severe punishment, or a prison sentence in general, by providing evidence to the court that they were mentally incapable and their sentence is trnasferred to be served in a mental institution instead.


Technical Support / RESOLVED: LaTeX support
« on: November 08, 2009, 03:15:20 PM »
Is there any way to have a [tex] bb code under SMF? If so, can you enable it on FES. There have been a lot of threads involving math and this is the best way for typesetting.

Pages: [1] 2