In the End, It All Adds Up to -1/12 (1+2+3+4+ ··· ∞ = -1/12)

WeAre0ne


The above facts prove "sum" will never be negative, and will never be a fraction. It will always be a positive whole number. The value of "sum" will never be -0.0833333333... which is a decimal representation of -1/12.

edit on 25-2-2014 by WeAre0ne because: (no reason given)

Yes we know that, you are arguing something different mathematically, which is properties of finite partial sums, and nobody ever questions this. Recognize that mathematics needs to make explicit many implicit assumptions, especially linguistic ones.

In particular, in the above case the naive assumption is that the assignment of an *infinite* limit, not merely a very large, but finite, partial sum, is trivially related to partial sums. In this case, the partial sums diverge, so you need a NEW definition for these cases which is mathematically useful. (A Turing-based computer does NOT know how to do this!)


In particular one of them is a consequence of looking at generalizations, mathematics isn't just about numbers, it's about functions and spaces and in particular series in complex analysis are very powerful.

Keeping on arguing that finite sums diverge in the traditional sense isn't the point.

Mathemeticians have a invented many ways to define useful sums for ordinarily divergent series.

Divergent series

reply to post by mbkennel


You seem to have a good grasp on the topic at hand. I was wondering if you'd like to collaborate or just possibly run through an algorithm I've been brainstorming for a little while now.

It goes as follows...

Using the geometry of the Cuboctahedron as a basis for computation with regards to vertices acting as the elements that make up a given set when partitioning the Cartesian coordinates of said polyhedron. This is to be done using a base-12 or dozenal number system.

Being that the vertices of the Cuboctahedron are identical, this can then parallel binary golay code that provides a check sum system of computation. Golay already uses a message length of 12 as well as a 24 block length with a distance of 8. Being that the cuboctahedron is made of 12 vertices that are in a way error-correcting code when the geometry is computationally satisfied. The cuboctahedron additionally has 24 identical edges that parallel Golay's 24 block length, and is achievable using 8 bits or 8 bit architecture already being used today that correlates with the Golay distance of 8.

when decomposed, the cuboctahedrong becomes a octahedron + 8 irregular but equal octahedras of convex hull architecture while removing two opposite vertices. This then paralleling cell-first projection of a 24-cell into 3rd dimension and under this projection the forming a projection envelope that can be decomposed into 6 squares + 1 octahedron + 8 irregular octahedra.

These elements correspond with the images of the six octahedral cells in the 24-cell with regards to the nearest and furthest cells from the 4d view point along with the 8 pairs of cells respectively.

Thus solving the allusive algorithmic problem of finding the convext hull of a finite set of poins in the plane or low-dimension euclidean speaces by reverse engineering or re-composing the set back into cuboctahedron form in accordance with a cantellated 16-cell construction. Through 12 permutations in 4-space now alternatively using cartesian coordinates of edge length of ^(1/2) centered at the origin of .....

then sphere packing -- hupercube--- 24 dimensional leech lattice using duodecimal and given a binary translation.

if that makes sense? I'm sure it doesn't... but what I'm getting at is all there....

result... infinite error-correcting processing utilizing the fractal nature of the cuboctahedron with infinite partitions from which even 1 point can be taken from each to create a new set that now CAN be measured using cartesian coordinates all encompassed by satisfying a geometry. 16,63,65

Can you put that into an equation? Never heard of Golay's before so get lost at the3rd paragraph but spent a couple of years on exploiting Cartesian co-ordinates so could check the validity if that part.

retirednature
reply to post by mbkennel

 

You seem to have a good grasp on the topic at hand. I was wondering if you'd like to collaborate or just possibly run through an algorithm I've been brainstorming for a little while now.

It goes as follows...

Sorry, I know my limitations. I have no mind for abstract algebra. I'm much more of a stats/machine learning person now.

reply to post by mbkennel


In other words, mathematicians are trying to redefine "infinite" and make it "finite" in order to "solve" problems. Which is very idiotic.

Here is a Infinite number, like you have never seen....

The Scriptures by the numbers of Pi without the decimal / 31102 verses in the Bible

The Remainder is cyclical...


Search: 1-194 >>>Occurrences of the word 'Light'

1) 3rd vs. Gen 1:3 And God said, Let there be Light: and there was Light. 813 Hebrew

20) the first 20 digits Pi/31102 = 8472nd vs. 2 Sa 17:22 Then David arose, and all the people that were with him, and they passed over Jordan: by "the morning Light" there lacked not one of them that was not gone over Jordan 4717 Hebrew

120) the first 120 digits Pi/31102 = 7898th vs. 1Sa 25:36 And Abigail came to Nabal; and, behold, he held a feast in his house, like the feast of a king; and Nabal's Heart was merry within him, for he was very drunken: wherefore she told him nothing, less or more, until "the morning Light". 4717
( 4717 Hebrew Total Gematria)

146) 26616th vs. Joh 12:35 Then YESHUA said unto them, Yet a little while is the Light with you. Walk while ye have the Light, lest darkness come upon you: for he that walketh in darkness knoweth not whither he goeth. 18432 Greek

160) 16838th vs. Pro 15:30 The Light of the eyes rejoiceth the Heart: and a good report maketh the bones fat. 2214 Hebrew

Search Heart 1-194 The First Occurrence, 1 Time in

53) 21896th vs. Dan 5:21 And he was driven from the sons of men; and his Heart was made like the beasts, and his dwelling was with the wild asses: they fed him with grass like oxen, and his body was wet with the dew of heaven; till he knew that the most high God ruled in the kingdom of men, and that He appointeth over it whomsoever He will.

the second and third occurrences: 2 Times in

59) 28525th vs. 1Co 7:37 Nevertheless he that standeth stedfast in his Heart, having no necessity, but hath power over his own will, and hath so decreed in his Heart that he will keep his virgin, doeth well.

the fourth, fifth and sixth occurrences: 3 Times in

73) 25192nd vs. Luk 6:45 A good man out of the good treasure of his Heart bringeth forth that which is good; and an evil man out of the evil treasure of his Heart bringeth forth that which is evil: for of the abundance of the Heart his mouth speaketh.

53-73 20 verses in-between

*120) 7898th vs. 1Sa 25:36 And Abigail came to Nabal; and, behold, he held a feast in his house, like the feast of a king; and Nabal's Heart was merry within him, for he was very drunken: wherefore she told him nothing, less or more, until "the morning Light" >>>7th occurrence

*121) 16783rd vs. Pro 14:10 The Heart knoweth his own bitterness; and a stranger doth not intermeddle with his joy. >>> 8th occurrence

*122) 12320th vs. Neh 2:12 And I arose in the night, I and some few men with me; neither told I any man what my God had put in my Heart to do at Jerusalem: neither was there any beast with me, save the beast that I rode upon. >>> 9th occurrence (Three verses in a row)

+ 20 verses: the 10th occurrence 1 time in

142) 21895th vs. Dan 5:20 But when his Heart was lifted up, and his mind hardened in pride, he was deposed from his kingly throne, and they took his glory from him: ~

The verse preceding the 1st Occurrence in 53) Dan 5:21

11th and 12th occurrences: Two times In

147) 17344th vs. Ecc 2:10 And whatsoever mine eyes desired I kept not from them, I withheld not my Heart from any joy; for my Heart rejoiced in all my labour: and this was my portion of all my labour.


+ 13 verses from the last occurrence is the 13th occurrence, 1 time in


160) 16838th vs. Pro 15:30 The Light of the eyes rejoiceth the Heart: and a good report maketh the bones fat.

Search Good, 1-194..the Maximum number of the digits of Pi that I am able to calculate at wolframalpha, and the verses can be searched by their number at biblewheel com/GR/GR_Database.php

The First occurrence, One time in

2) 31st vs. Gen 1:31 And ELOHIYM saw everything that He had made, and, behold, it was very Good. And the evening and the morning were the sixth day.

+71 > 8 The second, third and fourth occurrences, 3 times in

73) 25192nd vs. Luk 6:45 A Good man out of the Good treasure of his Heart brings forth that which is Good; and an evil man out of the evil treasure of his Heart brings forth that which is evil: for of the abundance of the Heart his mouth speaks.

+62> 8 The Fifth occurrence, 1 time in

135) 29824th vs. 2Ti 1:14 That Good thing which was committed unto thee keep by the Kadosh Spirit which dwells in us.

+ 16 > 7 The Sixth occurrence, 1 time in

151) 23376th vs. Mat 8:30 And there was a Good way off from them an herd of many swine feeding.

+ 9 The Seventh occurrence, 1 time in

160) 16838th vs. Pro 15:30 The Light of the eyes rejoiceth the Heart: and a Good report maketh the bones fat. [ 30 15 45]

+ 8 The Eighth occurrence, 1 time in

168) 348th vs. Gen 14:11 And they took all the goods of sodom and gomorrah, and all their victuals, and went their way

I do realize that 151 and 168 are connotations of the primary meaning of Good ....nevertheless the numbers definitely support that they are to be included...

The first number after each verse is the Original language total, Hebrew, Aramaic and Greek...the second number is the KJV English text calculated ...A=1 through Z =26 Standard English, sometimes called simple gematria....the numbers for the original texts are in the biblewheel link above...

1) 3rd vs. Gen 1:3 And God said, Let there be Light: and there was LIght. 813 - 408

2) 31st vs. Gen 1:31 And God saw everything that He had made, and, behold, it was very . And the evening and the morning were the sixth day. 3065 - 1031

3) 314th vs. Gen 12:15 The princes also of Pharaoh saw her, and commended her before Pharaoh: and the woman was taken into Pharaoh's house. 3965 - 994

4) 3141st vs. Lev 14:29 And the rest of the oil that is in the priest's hand he shall put upon the head of him that is to be cleansed, to make an atonement for him before the LORD 3895 - 1331

5) 31415 = 313th vs Gen 12:14 And it came to pass, that, when Abram was come into Egypt, the Egyptians beheld the woman that she was very fair 2190 - 1016

6) 314159 = 3139th vs. Lev 14:27 And the priest shall sprinkle with his right finger some of the oil that is in his left hand seven times before the LORD: 3575 – 1124

7) 3141592 = 290th vs. Gen 11:23 And Serug lived after he begat Nahor two hundred years, and begat sons and daughters. 2956 – 738

8) 31415926 = 2906th Lev 7:26 Moreover ye shall eat no manner of blood, whether it be of fowl or of beast, in any of your dwellings 1732 - 951

9) 314159265 = 29065th vs. Gal 1:7 Which is not another; but there be some that trouble you, and would pervert the gospel of Christ. 10066 – 973

10) 3141592653 = 10735th vs. 1st Ch 12:14 These were of the sons of Gad, captains of the host: one of the least was over an hundred, and the greatest over a thousand. 1202 - 1108

11) 31415926535 = 14049th vs. Psa 10:7 His mouth is full of cursing and deceit and fraud: under his tongue is mischief and vanity. 2729 - 828

12) 314159265358 = 16090th vs. Psa 121:8 The LORD shall preserve thy going out and thy coming in from this time forth, and even for evermore 1863 – 986

reply to post by 232Gem

I get the impression when you add 1+2+3+.... you're coming up with something other than -1/12, but I can't tell what your answer is.

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17 = 153

A1 through Z26

John 21:11

~Y~E~S~H~U~A~JESUS saith unto them, Bring of the fish which ye have now caught.
Simon Peter went up, and drew the net to land full of great fishes, an Hundred and Fifty and Three and for all there were so many, yet was not the net broken.

~Y~E~S~H~U~A~JESUS 153

The Kingdom of GOD 153 The House of Jacob 153 The Land of Goshen 153

Hebrew Aramaic Greek 153 “The Number of GOD” 153

"Michael the Archangel" 153

The Children of GOD 153 “The Water of Life” 153 “The Good Ground” 153

“The Paradise of GOD” 153 “The Oracles of GOD” 153

“HE shall send them” 153 “Secret Wisdom” 153 “The Holy Word” 153 “Sealed Treasure” 153

“Rose of Sharon” 153 “The Whirlwind” 153 “Bow and Arrows” 153 Elijah Generation 153

“House of Israel” 153 “Water the sheep” 153 “The Revealed SON” 153 “Latter Glory” 153

“Creation Language” 153 “Language of Israel ” 153 Original Language 153 The Last Signs 153

Plain English code 153

Wisdom-Proof 153 The Faith is a Verb 153 A Divine Sequence 153 The Golden Ratio 153

God’s Basic Gematria 153

Logos archives 153 Find the Truth 153 The Truth Gate 153 God’s Precision 153

Wisdom Archived 153

Encrypted manna 153 Encrypted K.J.V. 153

Signs of Israel 153 Valley of bones 153 Encoded of The Lord 153

A Sealed Puzzle 153 Teaching Mine Elect 153 The LORD’s Earth 153

The Deeper Evidence 153 The Sum Evidence 153

Alpha – GOD-SON – Omega 153 Alpha – Messiah – Omega 153

His alphabet Door 153 Reveal Holy Bible 153 The Pyramid Inch 153

Numeric Proof 153 Numeric Secret 153 K.J.V. Prophetic 153

Messiah’s Word 153 English Words 153

The Messianic Lamb 153 “ I AM ” The Holy place 153 Alphabet Messages 153

Teach this Word 153 The Christians 153 The Planet Earth 153

The order of the verses were set, before these distances became known....

The circumference of the EARTH north to south through the poles is 24,859.82 miles

Rounded into the Whole number = 24,860

The 24860th verse MarK 15:33 And when the sixth hour was come, there was darkness over the Whole (Ghay) EARTH until the ninth hour.

The diameter of the MOON rounded into the whole number is 2160 miles

The 2160th vs. Exd 23:15 Thou shalt keep the feast of unleavened bread: (thou shalt eat unleavened bread seven days, as I commanded thee, in the time appointed of the (Chodesh) New MOON Abib; for in it thou came out from Egypt: and none shall appear before Me empty



circumference of the sun without decimal/ 31102

2485982/31102 ~ 28924th vs. 2 Corinthians 7:7

And not by his coming only, but by the consolation wherewith he was comforted in you, when he told us your earnest desire, your Mourning, your fervent mind toward me; so that I rejoiced the more.

diameter of the moon 2159.14062 without decimal/31102

215914062/31102 ~ 3978th vs. Numbers 9:12

They shall leave none of it unto the Morning, nor break any bone of it: according to all the ordinances of the Passover they shall keep it.

First Portion Calculations

1) 23rd Book 18025th vs. Isaiah 19:20 3766 - 2004

2) 37662004/ 31102 ~ 28584 - Gematria Totals

3) 192037662004/31102 ~ 11410 - Verse Address, Gematria Totals

4) 18025192037662004/31102 ~ 10586 - Verse #, Verse Address, Gematria Totals

5) 2318025192037662004/31102 ~ 25408 - Book, Verse #, Verse Address, Gematria Totals


First Portion Verses

1) 23rd Book 18025th vs. Isaiah 19:20 And IT shall be for a Sign and for a Witness unto YAHUWAH of Hosts in the land of mitsrayim: for they shall cry unto YAHUWAH because of the oppressors, and HE shall send them a Saviour, and a Great One, and HE shall deliver them. 3766 - 2004

2) 37662004/31102 ~ 28584th vs. 1Co 10:16 The cup of blessing which we bless, is IT not the communion of the Blood of Messiah? The bread which we break, is IT not the communion of the Body of Messiah? 19369 - 1406

3) 192037662004/31102 ~ 11410th vs. 2Ch 10:14 And answered them after the advice of the young men, saying, My father made your yoke heavy, but I will add thereto: my father chastised you with whips, but I will chastise you with scorpions. 3782 - 1868

4) 18025192037662004/31102 ~ 10586th vs. 1Ch 8:10 And Yeuz, and Shachia, and Mirma.These were his sons, heads of the fathers. 3041 - 601

5) 2318025192037662004/31102 ~ 25408th vs. Luk 11:2 And HE said unto them, When ye pray, say, Our FATHER which art in heaven, Hallowed be Thy Name. Thy Kingdom come. Thy will be done, as in heaven, so in earth. 16862 - 1342

1st Portion Statistics

1) IT Saviour, 2) IT Messiah IT Messiah - 3) father father, 4) fathers, 5) Father

Chapter and Verse Symmetry: Some thirty some sixty, multiplied

19:20 ~ 19 11 30
10:16 ~ 20 10 30
10:14 ~ 16 14 30
_8:10 ~ 10 10 20
11:2 _~ _8 _2 10 ~ 30

Consecutive Accumulative Method, add the verse numbers from the first section > 1) + 2) = verse 6) + 3) = verse 7) + 4) = verse 8) + 5) = verse 9) >>>>

Just found this here... scientopia.org...
I really hope everybody will understand now why it is NOT -1/12

So what's wrong here? To begin with, S1 does not equal 1/2. S1 is a non-converging series. It doesn't converge to 1/2; it doesn't converge to anything. This isn't up for debate: it doesn't converge! In the 19th century, a mathematician named Ernesto Cesaro came up with a way of assigning a value to this series. The assigned value is called the Cesaro summation or Cesaro sum of the series. The sum is defined as follows: Let A = [a_1 + a_2 + a_3 + ...]. In this series, s_k = \Sigma_[n=1]^[k] a_n. s_k is called the kth partial sum of A. The series A is Cesaro summable if the average of its partial sums converges towards a value C(A) = \lim_[n \rightarrow \infty] \frac[1][n]\Sigma_[k=1]^[n] s_k. So - if you take the first 2 values of A, and average them; and then the first three and average them, and the first 4 and average them, and so on - and that series converges towards a specific value, then the series is Cesaro summable.