STATISTICS (UPDATED 7/30/2009)

HOME PAGE Code Glossary & Basics Contents 1: Current-Events Contents 2: Code&Ark Issues Contents 3B: Other Mars Science Contents 3A: MarsCorrect Contents 4: UFOs Contents 5: President Trump Contents 6: Obama Contents 7: Israel 2017 Torah Codes Skype Interview List of my TV & Radio Shows Korean Olympics war threat Bir El Abd, Daesh & Ark Judge Roy Moore Texas Church Massacre Morgenthau for Vietnam Schumer brought Sayfullo Deep State Level 3 Redirect Asteroid to North Korea Vegas Security Guard Steven Paddock EMP Attack & Transformers Robert E. Lee & Slavery Korea, Guam & Atomic Holocaust Kim, Obama & Iran Nukes Korean Propaganda FUTURE WARNING China Economic War Trump Impeached? Transgenders & Military Trump Jr. & Russian Veselnitskaya Mueller Corruption Otto Warmbier Steve Scalise Shot Trump & Paris Accord Biden & Romney Known terrorist & London Bridge Code Names Manchester Bomber Comey&Schumer  Coup Attempt CFR BrzezinskI Mueller & Impeachment Attempt Syrian Crematorium TRUMP FIRES COMEY President Ping & Korean War MOABs against N. Korea Obama Nobel China-Korea Japan War Korean Atomic War Trump Attacks Putin&Assad Kananpaa & Bogus Mars Weather Rice&Obama spy on Trump Ryan's Health care fails Islam's Judas Westminster Attack THAAD missile shield Obama wiretaps Trump Enemy News Trump, Musk & Mars Fort Huachuca Trump, Enemy Media & Insomnia TRAPPIST-1  Solar System General H. R. McMaster Tom Price & ObamaCare Repeal Australia& Obama attack America Mike Pompeo at CIA Jared Kushner Manning Sentenced CIA's John Brennan Ft. Lauderdale ISIS Airport Shooter DNC Hacker: Putin or Netanyahu Alien Virus & Politics Trump: Embassy to Jerusalem Netanyahu: Israel out of U.N.? Close the U.N. Karlov assassination Carrie Fisher as Leah Aleppo, Syria Obama Birth Trump Administration General Mattis: SECDEF? Trump picks Viola For Army Obama's Gay Sec. Army Tilllerson as Secretary of State Frozen sea on Mars Mars MAVEN Trump&Romney General Flynn Trump & Mexico Trump&Prejudice Trump Elected? TRUMP PICKS PENCE Steve Bannon Trump's Wife Trump & Kelly Bimbo Obama, Clinton, Trump & Mental Illness Donald Trump in 2016? Trump&Obama Blumenthal & Birthers Oct 5 TV interview SpaceX Failure - Sabotage? Clinton Stroke? Kaepernick Treason ZIKA Weiner Saga Obama kills flag pledge? N.Y. Iman Murdered Debbie Shultz fired as predicted Ali Sonboli - Munich killer Clinton EMail & FBI Comey Micah Johnson: Cop Killer MSL's 2 MARTIAN YEARS Senator Perdue Obama prayer HAIL BRITANNIA! Omar Mateen & Obama Muhammad Ali RADIO INTERVIEW 5/8/2016 Mars Powerpoint Katie Couric Lies General Milley Fighting ETs & Hyrbids 2016 Election Romney tries convention theft PRINCE DEATH Hot Mars Info Contents 3B: Mars Codes UFO Hypnosis Alien President Obama - Reptilian Alien? Obama in Cuba Time Experiment Garland&Obama Targeting Iran Scalia Murder? Bloomberg in 2016 Martian Life seen by MSL? Christian Values & Election Oldest Person Running water on Mars Mars Weather on 682 days Contents: People Nimr A-Nimr Beheaded Space X Lands Podkletnov update Netanyahu Kills Samir Kuntar Pope: No Jewish Conversion Russian Beheaded Turkey downs Russian Jet Pollard Matrices Jihadi John & Paris Metrojet Crash America Fallen Iran's General Soleimani James Webb in 2016: Surprise? Boehner Out, Ryan In Destruction of Rome Nuke War Date? Bin Laden&O'Neill TIANJIN EXPLOSION Huckabee & Kim Davis NASA Achilles Heel World War 3 Date Lights on Ceres Gays & World War Excommunicate 3 Justices No Strategy Obama Lincoln Chafee in 2016 Bob Jindal in 2016? John Kasich in 2016? Ben Carson 2016? Lindsey Graham in 2016 George Pataki in 2016? Bernie Sanders in 2016? Martin O'Malley in 2016? Vatican recognizes Palestine Carly Fiorina in 2016? Clinton Foundation Korean Defense Minister Shot Freddie Gray Riot USS Roosevelt to Yemen Obama Surrender Gilbert Levin found Mars Life Valerie Jarrett Bergdahl &Obama Impeachment? Palestinian State? Obama Traitor & Iran Boehner invites Netanyahu Netanyahu Says NO to Obama Netanyahu&UN NETANYAHU Satanic Obama's enemies Anti-Semite Obama Algae/Oxygen on Mars? Podesta UFO Disclosure UFO Disclosure Pelosi and Netanyahu Pharaoh Obama Jordanian Pilot LT Kateasbeh Japanese beheaded Livni vs. Netanyahu Air Asia Crash 2015 DATES Jan. 1, 2015 Charlie Hebdo Communist Obama & Cuba Ferguson Verdict 1st Ferguson Riot Eric Holder Dr. Brandenburg: Nuke on Mars Moshe Feiglin - future Prime Minister? ISIS, Kassig, & Obama Executive Action & Impeachment Time Machine and Ezekiel O'NEILL SHOOTS BIN LADEN Elon Musk & Sabotage Gaza Buffer Zone Islam attacks Ottawa Kim Jong Un Comet Siding-Spring Tom Duncan Ebola to US India & Mars Ebola Obama Khorasan in Syria Alton Nolen Beheads Scotland Votes NY Nuke Nightmare Pistorius Trial Is Obama Our Enemy? Is Obama Really Hamas? Cameron vs. Obama Israel&ISIS Sotloff Beheaded Foley Beheaded Obama & Mind Reading Computer Logistics & Gaza War Joan Rivers Robin Williams Voices from the Cosmos Birthday UFO Gaza 2014 War Gaza Children Netanyahu launches Protective Edge at Gaza Contents 7: Science &Tech DEAD SEA SCROLL CODES ON TV Roffman Code Radio Show Talmud&Names Malaysia Flight 17 Al- Maliki & Defeat in Iraq Why Cantor Lost Jay Carney Repulsine Drive Potter UFO 1 Michael Sam Boko Haram Donald Sterling Malaysia 370 shot down? Ranch War? Malaysia Airlines Air France Malaysia Pilot Zaharie Shaw Ukraine, Russia & War President Snowden? Kerry Messianic Snake Salvation Death Belarus  & ObamaCare Mars Rock Mystery Pot President Roffman Mars Radio Show Justin Bieber Minimum Wage Duck Dynasty Bush in 2016 Clinton 2016 Biden in 2016 Cruz in 2016 Christie in 2016? Ryan in 2016 Rand Paul 2016 Romney 2016 Rubio 2016 Walker in 2016 Santorum 2016 Perry in 2016 Cuomo in 2016 Warren 2016 Satanic Obama Cure to Aging? Polygamy China Crisis Iran-Nuke-Deal 2014 Dates Encoded 911:Atomic-Iran Keep-your-plan? Sebelius&Obama Nelson Mandela Comet-Ison-Fear End of America Janet Yellen Kenya-Mall-Terror PUTIN OP-ED Armageddon Assad Holocaust Putin, Obama, Assad & Enemies Israeli Intel vs. Assad Mubarak Freed? Mubarak Death? McCain & Morsi MAJOR HASAN Bill O'Reilly Fear  of Obama Zimmerman Free Flood on Mars Politics alters Mars weather Egypt's ElBaradei Army Suicide Mullah Omar TWA FLIGHT 800 Gay Scouting? Tornado Chasers Swiss against Kosher food ALLAH AKBAR & Mickey Mouse Jodo Arias Mars Cover-up & Obama N. Korea & Boston Where is God? Obama-Assad Bombers Found GUANTANAMO Nuke Korea Hagel&Korea Kim Jong Un Warship Sunk Korea Attack Erich VonDaniken Brain Mapping JC Stomp Mars Hoax Knives on Jets Obama&Israel New Pope Cardinal Mahoney Chavez&Obama Pope Resigns Rick Perry 2018 Mars mission crew Slideshows for Codes & Mars Asteroid 2012da14 School Shooting Fordo Iran Nuke Hit? Dr. Afrida 2013 Dates Encoded Lance Armstrong Hitler Escaped? Mars Coverup Doomsday Benghazi&Rice UFO Hacker Clark McClelland Arafat Polonium Election&Code  Lessons Biased News Babylon, America &Obama 2012 Election Stevens Murder Rubio, Gays & Catchism World War 3 Identity Chips Obama=Nuke War Arab Riots Mars One Way Batman Shooter Assad Update  Iran Overdue Fast&Furious Time & Boson Tachyon Time Prometheus Zionist Threat? Breitbart Death New Party Nuclear Talks Flame Virus Stuxnet Virus Obama&Gays Chaplain Woes Attack Iran? Ending Muslim Terror USS Cole Reagan&UFOs 2012 & The End of Days End of Days Romney vs. Obama Obama vs. Court Hunger Games Obama Open Mic Threat Analysis Master of Fate Nuke Iran Foreign Aid Russian Veto Panetta&War Iranian Threat Atomic Threat Brewer's Finger Mitt Romney War in Hormuz WAR in 2012 EMP Attack Malcolm X & Obama Nuke Murder Concordia Sinks Israel to Moon Rocket Sabotage 2012 Republicans Atom. Holocaust Missile Base Attack Isfahan Attack Iran is Gog Rabbi Levin Reversing Time Altering Time Iran War Plan Qaddafi Death Kaddafi Execution Solyndra Loan DEFINE ELS Aldrin&Obama Obama Alias EXODUS ROUTE Pakistan&Osama Scott Jones&ET BinLaden Dead 2012 ELECTION Obama's Failure UFO Teleportation Gravitics&Time Baptism Annulled (Spiritual Custody) Define ELS-Map Alien DNA No Alien gods! Winds of Mars 2012 Supernova? Obama History Dual Citizen Obama's School Barry Soetoro 251.565 MAPS ARK HISTORY Expedition Pics ELS MAP 1 ELS Map 2 ELS MAP 3 ELS MAP 4 ELS MAP 5 ELS MAP 11 ELS MAP 12 ELS MAP 13 ELS MAP 14 ELS MAP 15 ELS MAP 16 EXPEDITIONS ETHIOPIA&ARK Tanis&the Ark Who's a Jew? Tree of Life 2012 Dates Encoded Ron Wyatt & Saudi Sinai Vatican&Hitler Vatican Rule Jack Lu: The Finance Jew Act of God & Election Ukraine Riots Rosetta Comet Landing Boston Marathon Sue Bradley OBAMACARE Shutdown Secession Vote? Obama hoax? NewYork Curse Major Hassan Hitler Youth Code Hypothesis United States Ariel Sharon Netanyahu Wins, Yair Lapid 2nd McChrystal Fired Obama Security Apartheid Israel? Obama, Muslim King of Sodom Obama Brother Sgt Bob Bales Korean Execution Mars Lies Ishmael's Birth Sochi Terror Gas Masks in Israel Korans Burned New Gaza War Gaza Jabari Hit Assad's Missiles Chris Dorner Piers Morgan: Amend Bible? Khalid Mansour 8-27-2012 GOP Convention Egypt's Election Attack via Azerbaijan Philadelphi Rt. Paul Ryan Whitney Houston Nazarene-wife Asteroid Toutatis Mayan Doomsday Holdings Book Ahmadinejad in Space Korean Rocket Coach Sandusky Armstrong&Moon Armada vs. Iran Qaddaffi son killed Romney&Bain Mormon Concerns London Olympics Photos&Maps 2 Zubrin & Mars 7/28/12 Threats? Mars Stonewall Weather Goof by Mars Rover Remote Viewing Comet Lovejoy Space Shuttle Odd Shortsale Japan Tsunami Fukushima&End Meltdown Plutonium&H2O UFO Abduction Shutdown Deal WikiLeaks 1st Debate No Teleprompter Rodney King China in Space? Alien Hybrids? Bob Salas UFO MSL Sky Color Mars Sky Color Ashima/MIT&Mars Mars Base End of NASA Brain-Reading Brokow vs. Gingrich Newt Gingrich Santorum&Gays Roberts Vote Ron Paul Cain Withdraws Jeb Bush 2012 Assad's Wife French Election Basketball Court Hamid Karzai Terror in France Mofaz&Netanyahu BeerSheba Attack George Soros Shalit Release Steve Jobs Social Security Barney Frank Michele Bachman Mineral Quake 9-11-2011 Lennon&Imagine Irene Flood Joplin Tornado Casey Anthony Steven Hawking Jeff Savage Eilat Attack Renfroe UFO Mt. Sinai Pics Rocket Defense Haiti Earthquake Giffords shot Impeach Obama? Obama Loss Qaddaffi&Obama Don't ask/tell? Internet Dangers Past Presidents Jon Huntsman Bush Memoirs Bin Laden New Civil War? Rahm Emanuel Roman Rahm Mayor Rahm Antimatter Planet Kepler22b Atomic Iran Peace Talks Abu Mazen U.S. Israel Rift Israeli ship-raid Iran Chicken Iran&Suez Canal Mousavvi Top Kill Fails Pakistan Flood Halliburton&Oil Mars Monolith Potter UFO 2 End of All Life IRS Attack Chemical Ali Oil Spill Oil and Life Airline Miracle Christmas Polish President Gaza Iron Wall TR-3B UFO Life on Mars Ark to Mars UFO Onion-Drive Wormholes Martian Life Olympus Mons MSL Mars Launch H Bomb Test Supercollider ANTIGRAVITY Robson&Jupiter Onion Drive Update NIKOLA TESLA PALIN RESIGNS IRAN WAR Gaza Invasion ZECHARIAH Statistics Permutation Control Text Obama&Islam NASA Director Michael Jackson To Muslims 2008 Election Clintons Clinton Weds Nuclear War? Baal Zephon B. Zephon&Ark Implications Jeremiah&Ark Vendyl Jones In Jerusalem? Al-Awlaki Death Ark Destroyed? Titus/Rome Knights Templar Mt. Nebo/Ireland? ELIYAHU RIPS Rabbi Glazerson Hawass&Permits Religious Tests Other Texts? Mayan Calendar Google&Privacy Nasrallah Elena Kagan Obama&McCain Snooping Skip Tables Term Positions RABIN MURDER 27-August-2012 YASIR ARAFAT Hurricanes Walter K. York Romney&Netanyahu LINKS Roswell Angelic Doctor Joseph Smith Transgender Michelle? Mars SAM Buy ARK CODE ROFFMAN BIO Spiritual Custody Contents Annulled Ch. 1 Annulled Ch. 2 Annulled Ch. 3 Annulled Ch. 4 Annulled Ch. 5 Annulled Ch. 6 Annulled Ch. 7 Annulled Ch. 8 Annulled Ch. 9 Annulled Ch10 Annulled Ch11 Annulled Ch12 Annulled Ch13 Annulled Ch14 Annulled Ch15 Annulled Ch16 Annulled Ch17 Annulled Ch18 Annulled Ch19 Annulled Ch20 Annulled Ch21 Annulled Ch22 Annulled Ch23 Epilogue Custody press coverage Huachuca Comm Check



NOT EVERYTHING THAT LOOKS IMPRESSIVE IS IMPRESSIVE

The ever constant question that pops up whenever a new matrix is found is (or should be), "Is this find significant, or the result of simple (often high) probability?" The more professional researchers generally turn to the Monte Carlo technique to arrive at an answer. Dr. Robert Haralick, who wrote the Foreword of Ark Code, has a discussion about probability on his site at http://www.torah-code.org/probability/probability.shtml. He also has a discussion about scrambling Torah texts to produce what are called "Monkey Texts" at http://www.torah-code.org/monkey_texts.shtml. This relates to the Monte Carlo technique. As applied to Torah Codes, ones scrambles the Torah text 10,000, 100,000 times or more, and then compares the results of key terms meeting in the real Torah text with the scrambled text. It matters greatly whether or not the Torah text that is scrambled to produce a Monkey text is scrambled at the letter level, word level, or verse letter. Because much is often made out of key words meeting certain phrases, it's probably better to scramble at the verse level and then use comparisons between it and the original text.   If one scrambles the Torah text 10,000 times, and then finds 1,000 better (tighter, smaller) meetings between key terms in the "Monkey Text," then the chances are, that at best, the find in the Torah text had one chance in ten of being there.  This is NOT significant.    But if, in the 10,000 trials, there were only 100 as good or better meetings of terms in the monkey text, then the find in Torah might have had only about one chance in a hundred of being there.  In this case, it begins to become interesting.  A problem with the Monte Carlo technique when I began my research was that it was (a) often very slow due to the need to check such a high number of scrambled texts, each with 304,805 letters, and (b) it required computer software that was not available to the general public.  As such, I developed an alternate method that focused on the number of rows and columns in a matrix, the number of ways a key term could fit in that size matrix (vertically, horizontally, diagonally, forwards, and backwards*); the  frequency of this term at an ELS when limited to the number of ways it could fit in such a matrix, the percent of total Torah employed in the matrix; the chi-square value, and the combined total probability for everything found (which must then be adjusted for those things sought and NOT found).  For those who are interested in examining the entire process, please buy a copy of ARK CODE and examine Appendices A and B (pages 183 to 221).  Note: In the case of ELS maps, the probabilities derived must then be adjusted due to the requirement for the matrix to have items found be found at the correct course angles that correspond to what is seen on real world maps.

 

*ROFFMAN SKIP FORMULA. 

The number of ways that a term (either forwards, backwards, or diagonal) can fit into a matrix is determined as follows: 

(1) Let the number of skips possible in a forward direction on a row of length (r), where r = the number of columns in the matrix, be equal to "Sr." 

(2) Likewise, let the number of skips possible in a vertical direction on a column of length (c), where c = the number of rows in the matrix, be equal to "Sc." 

(3) The Roffman Skip Formula for total skips is as follows:         

Skips = 2(Sr + Sc + 2[Sr][Sc]) = 2Sr + 2Sc + 4SrSc.   

An example of skip value determined through use of the above tables and formula follows:   Find the number of skips possible for a 4-letter word in a Matrix 28 columns by 11 rows.

SolutionSkip Tables for words ranging between 3 and 8 letters are posted on this site.  For a 4-letter word use Table 1B.  On it find that 28 columns = 9 possible skips forward.  Thus Sr = 9.  Now note that 11 rows = 3 possible skips vertically.  Thus Sc = 3.  Now apply the formula which is Skips = 2(Sr + Sc + 2[Sr][Sc])    2(9 + 3 + 2(9)[3]) = 2(12 + 54) = 2(66) = 132 SKIPS.  Now, let us suppose that the 4-letter term occurred at skip 100.  To get an idea of how likely such a term is to be found at an ELS, search a range of 132 skips, such as from skip 101 to skip 232.  The number of "hits" for this term is then divided by letters in the Control (if this is scrambled Torah the number of letters in the Control is the same as in Torah, i.e., 304,805).  The quotient is the Word Frequency Per Letter. This is multiplied by the number of letters on each matrix to reveal Word Expectancy Per Matrix.  It is inherent in this procedure that the larger the number of letters in the matrix, the larger the number of placements possible for any given key word at any ELS.   After determining Word Frequency Per Plot we apply the  Poisson Equation to see the probability that they are present at least once. This is necessary to determine a true probability for each word. Just because a word is likely to appear once per plot does not imply it will always be there. Words may average out to many times per plot area without actually being in a given plot of that area. Of course, if the expected frequency is sufficiently high we eventually reach a probability like .9999999 which we simply round off as 1.0.

 

HOW TO FIND THE CHANCE OF A TERM APPEARING AT LEAST ONCE*

1.  FIND PROBABILITY IT DOES NOT OCCUR BY POISSON EQUATION. 

                       x (-lambda)
f(x) = Lambda e                   x = 0; lambda = expected frequency per matrix
                 x!
            

2.   1 ‑ f(0) = THE PROBABILITY OF OCCURRING AT LEAST ONCE.

                                     (where f(0) = the probability it will not occur)

 

3.  On an Excel or Works spreadsheet, head columns as follows:  A: Whatever identifies the calculation; B: Skips Used on the Matrix, C: Number of hits (on CodeFinder or similar software) in Skip Range; D: Divide by 304,805 Letters in Torah or Control; E: The Quotient Equals Frequency Per letter; F: E Quotient Multiplied by Letters on Matrix = Word Expectancy; G:  Poisson Equation = 1-EXP(-F#) where # equals the row number of the item in Column F in question on the spreadsheet.  If you want to know the chance for the item to be on the matrix, head Column H accordingly. The value of Column H will be the reciprocal of the value found in Column G by Poisson Equation.

* Note: While this author (Barry S. Roffman) discovered the Roffman Skip Formula, my son (an MIT geophysics graduate), Rabbi Robert Roffman, is the author of the spreadsheets and the man who first introduced use of the Poisson Equation into my research.


ROW SPLIT AND WRAPPED MATRICES

There is some indication that when a row skip or row split function for the axis term is employed, that the true value of an open text match must be the value computed by standard means divided by the row spit.  The lowest ELS of Ark of the Covenant at skip -306 (cylinder circumference 306 letters) had about one chance in 2,931 of being in a 104-letter matrix with Egyptians were burying.  At skip -306 there was no row split function enabled on CodeFinder.  Had it been enabled and a row split of 2 were used (with a cylinder circumference of 153 letters), if the matrix size  (area) were the same, I would have divided 2,931 by 2  to arrive at a value of 1 chance in 1,465.  In this case however, the matrix with circumference 153 would have been larger because the match on the matrix with circumference 306 was already about as tight as it could be with the row skip function disabled.  There is also a discussion about dividing the value of a matrix by the number of passes through the Torah made by CodeFinder on a wrapped (rounded torus) search before acquiring an axis term.  See the permutation experiment

 

SPECIAL CASE SKIPS

Finally, when computing the value of a-priori open text terms on a matrix, it is my practice to only employ the frequency of this term at Skip +1 (in unwrapped Torah) on my spreadsheet in column C.  However, if the a priori term appears at skip -1, N (parallel to, in the same direction, and at the skip of the axis term), or -N (parallel to, in the opposite direction, and at the skip of the  term) in column C, I list the frequency (number of hits) as the total hits at skips +1, -1, N, and -N (with wrapped Torah allowed if that was required to find the axis term.  These skips are considered  special because they seem to leap out at the eye of the researcher and make the case for deliberate encoding seem more plausible.