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### times and divide.

NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 20) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 19. . . Forward to page 21. . . Last page (page 25) 10 303 (centillion) The number centillion, which for a long time was the largest number with a single-word name in English (and many other languages that use the Chuquet names).In the majority of the English-speaking world centillion meant 10 600. 2ND-ORDER LINEAR RECURRENCE SEQUENCES AT MROB 2nd-Order Linear Recurrence Sequences -- Explore a wide variety of topics from large numbers to sociology at mrob.com### 2147483648 - MROB

Skin: 死神永生 使徒 兵庫北 Chemistry. How to play: Use your arrow keys to move the tiles. When two tiles with the same number touch, they merge into one! BOWERS NAMED NUMBERS 4 3 hyperdimensions of 100 dimensions – a 100^100 array of ‘10 ‹100, 2› 100’s, where ‘10 ‹100, 2› 100’ is a 100^100 array of ‘10 ‹100› 100’s, where ‘10 ‹100› 100’ is a### 100^100 array of

USING AUXILIARY HEAT WITH A NEST THERMOSTAT AT MROB Using Auxiliary Heat with a Nest Thermostat If you have a central HVAC (heating / ventilation / air conditioning) system called a "heat pump", and live in an area where the temperature in the winter goes below about 50°F (or 10°C) then you probably have something called "emergency heat" or "auxiliary heat". THE PUBLISHED DATA OF ROBERT MUNAFO AT MROBMROBRIESNUMBERSLARGENUMSEQUENCESMANDELBROT The Published Data of Robert Munafo. Explore Gray-Scott reaction-diffusion (nifty organic patterns produced by my highly-optimized PDE solver). My research paper and talk, etc. are here . The "Inverse Equation Solver" that quickly finds closed-form approximations for any number. As seen in xkcd. WRITER. AN INCREMENTAL GAME Writer is an incremental game made between December 2013 and January 2014, by Eduardo Abel Gimenez after playing Cookie Clicker , Sandcastle Builder and others for a long time. Eduardo Abel Gimenez is an Argentine writer and novelist. Time played: 0 h, 0 m, 0 s. HOW MANY SQUARES (WITH ANSWERS) AT MROB The answer is 40: the 1 2 +2 2 +3 2 +4 2 = 30 of the original puzzle, plus 5 for each of the smaller 2×2 puzzles that have been added. find all 42 squares. This is a tiny bit different from the popular 40-squares version. Again we have 30+10, but there are 2 more: for a total of 42. find all 67 squares. HYPERCALC -- THE CALCULATOR THAT DOESN'T OVERFLOW AT MROB The primary advantage of Hypercalc is that it does not "overflow": for large numbers, its range is far greater than hand-held calculators, calculator apps for phones, numeric libraries like gmp , or maths software like Mathematica. Here is a brief comparison (more RIES - FIND ALGEBRAIC EQUATIONS, GIVEN THEIR SOLUTION AT MROB If you want easily inverted solutions you can specify that there be only one x on the left-hand side, omitting things like " x -sin ( x )". ries can find the simplest way to (for example) express the value 27 using only the digit 4 and the four basic operators plus, minus,### times and divide.

NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 20) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 19. . . Forward to page 21. . . Last page (page 25) 10 303 (centillion) The number centillion, which for a long time was the largest number with a single-word name in English (and many other languages that use the Chuquet names).In the majority of the English-speaking world centillion meant 10 600. 2ND-ORDER LINEAR RECURRENCE SEQUENCES AT MROB 2nd-Order Linear Recurrence Sequences -- Explore a wide variety of topics from large numbers to sociology at mrob.com### 2147483648 - MROB

Skin: 死神永生 使徒 兵庫北 Chemistry. How to play: Use your arrow keys to move the tiles. When two tiles with the same number touch, they merge into one! BOWERS NAMED NUMBERS 4 3 hyperdimensions of 100 dimensions – a 100^100 array of ‘10 ‹100, 2› 100’s, where ‘10 ‹100, 2› 100’ is a 100^100 array of ‘10 ‹100› 100’s, where ‘10 ‹100› 100’ is a### 100^100 array of

USING AUXILIARY HEAT WITH A NEST THERMOSTAT AT MROB Using Auxiliary Heat with a Nest Thermostat If you have a central HVAC (heating / ventilation / air conditioning) system called a "heat pump", and live in an area where the temperature in the winter goes below about 50°F (or 10°C) then you probably have something called "emergency heat" or "auxiliary heat". THE PUBLISHED DATA OF ROBERT MUNAFO AT MROB The Published Data of Robert Munafo. Explore Gray-Scott reaction-diffusion (nifty organic patterns produced by my highly-optimized PDE solver). My research paper and talk, etc. are here . The "Inverse Equation Solver" that quickly finds closed-form approximations for any number. As seen in xkcd. HYPERCALC -- THE CALCULATOR THAT DOESN'T OVERFLOW AT MROB The primary advantage of Hypercalc is that it does not "overflow": for large numbers, its range is far greater than hand-held calculators, calculator apps for phones, numeric libraries like gmp , or maths software like Mathematica. Here is a brief comparison (more RULES FOR ALGEBRAIC MANIPULATION AT MROB Rules for Algebraic Manipulation -- Explore a wide variety of topics from large numbers to sociology at mrob.com MIRA - A UNIQUE TEXT-ONLY WEB BROWSER AT MROB MIRA - A unique text-only web browser. mira (Munafo's Internet Research Assistant) is a simple web browser created to satisfy the following objectives (listed by priority): Keep a permanent record of where you have been and the text you have read while searching the Internet. Allow viewing of old web pages (and old versions of current### web pages

IDENTIFY YOUR SDRAM BY THE NUMBERS ON THE CHIPS AT MROB To determine the size of a memory module (a small circuitboard bearing multiple packages) you need to know the number of packages on the module and the size of each package. I have indicated sizes of chips, when known, as "Mib", which is 2 20 bits. A "megabyte" is 8 Mib. For example, if the table shows that your memory chips are "64 Mib" chips LARGE NUMBERS -- NOTES (PAGE 2) AT MROB Some History of Short vs. Long Scale (A more thorough history is presented in the Wikipedia article Long and short scales.) During the 17 th century 7 it became common practice in France to divide digits into groups of 3, and during this time billion began to be used as the name for 10 9 in France and Italy. French mathematicians decided to switch to this usage because they found it easier. 2 FITBIT FLEX LIGHT PATTERNS AT MROB Plug it in and see if you get the "••~••" light pattern: if so, then the Flex's battery was dead. If you see nothing, it might be syncing (see next paragraph) or the charging connection contacts might be dirty. If the Flex is near your phone with the Fitbit app running (perhaps in background), or your comptuer with the Fitbit USB dongle### 2147483648 - MROB

Skin: 死神永生 使徒 兵庫北 Chemistry. How to play: Use your arrow keys to move the tiles. When two tiles with the same number touch, they merge into one! CHRIS BIRD'S SUPER HUGE NUMBERS AT MROB 1. Linear Array Notation (last updated 1 Apr 2012). 2. Multi-Dimensional Array Notation (last updated 2 Apr 2012). 3. Hyper-Dimensional Array Notation (last updated 2 Aug 2017 with minor corrections on pages 4-5). 4. Nested Array Notation (last updated 31 Aug 2013 with additions on pages 9-10). 5. Beyond Nested Arrays I (last updated 6 Sep 2017 with minor corrections on page 12;### corrections on

OUTLINE OF ADAM'S RETURN BY RICHARD ROHR AT MROB ADAM'S RETURN: The Five Promises of Male Initiation (Richard Rohr, 2004) Richard Rohr is, by some estimates (including mine), the English-speaking world's #1 Christian prophet. He describes himself as a non-scholar, a "white middle-class American, who is secure, overeducated, ordained, unmarried and male." Writing/speaking about### men and male

WRITER. AN INCREMENTAL GAME Writer is an incremental game made between December 2013 and January 2014, by Eduardo Abel Gimenez after playing Cookie Clicker , Sandcastle Builder and others for a long time. Eduardo Abel Gimenez is an Argentine writer and novelist. Time played: 0 h, 0 m, 0 s. HOW MANY SQUARES (WITH ANSWERS) AT MROB The answer is 40: the 1 2 +2 2 +3 2 +4 2 = 30 of the original puzzle, plus 5 for each of the smaller 2×2 puzzles that have been added. find all 42 squares. This is a tiny bit different from the popular 40-squares version. Again we have 30+10, but there are 2 more: for a total of 42. find all 67 squares. NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 20) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 19. . . Forward to page 21. . . Last page (page 25) 10 303 (centillion) The number centillion, which for a long time was the largest number with a single-word name in English (and many other languages that use the Chuquet names).In the majority of the English-speaking world centillion meant 10 600. LARGE NUMBERS (PAGE 6) AT MROB For the "busy beaver function" of SKI calculus, we define the length of a string in the obvious way: l (S) := length of the string S (number of symbols not including parentheses) . and the "output" of a string is the length of the result of beta-reducing it: IDENTIFY YOUR SDRAM BY THE NUMBERS ON THE CHIPS AT MROB To determine the size of a memory module (a small circuitboard bearing multiple packages) you need to know the number of packages on the module and the size of each package. I have indicated sizes of chips, when known, as "Mib", which is 2 20 bits. A "megabyte" is 8 Mib. For example, if the table shows that your memory chips are "64 Mib" chips MINIMALLY COMPLEX SEQUENCES (PAGE 12) AT MROB Minimally Complex Sequences -- Explore a wide variety of topics from large numbers to sociology at mrob.com THE "FIVE PROMISES" OF RICHARD ROHR: LESSONS FROM GENESIS The "Five Promises" of Richard Rohr: Lessons from Genesis The book ADAM'S RETURN: The Five Promises of Male Initiation by Richard Rohr (2004) presents a view of the modern male experience, the need for initiation, and a ritual process for initiation, and relates these things to five key distinctions that are found in the Garden of Eden### story in Genesis.

### 2147483648 - MROB

Skin: 死神永生 使徒 兵庫北 Chemistry. How to play: Use your arrow keys to move the tiles. When two tiles with the same number touch, they merge into one! BOWERS NAMED NUMBERS 4 3 hyperdimensions of 100 dimensions – a 100^100 array of ‘10 ‹100, 2› 100’s, where ‘10 ‹100, 2› 100’ is a 100^100 array of ‘10 ‹100› 100’s, where ‘10 ‹100› 100’ is a### 100^100 array of

CHRIS BIRD'S SUPER HUGE NUMBERS AT MROB Chris Bird's Super Huge Numbers at MROB. Chris Bird has done a lot of work on large numbers , including much original work that goes beyond that of others. He has created a system of fast-growing recursive functions that rivals or exceeds the functions of Jonathan Bowers and others. Of the following files, the first describes the relationship WRITER. AN INCREMENTAL GAME Writer is an incremental game made between December 2013 and January 2014, by Eduardo Abel Gimenez after playing Cookie Clicker , Sandcastle Builder and others for a long time. Eduardo Abel Gimenez is an Argentine writer and novelist. Time played: 0 h, 0 m, 0 s. HOW MANY SQUARES (WITH ANSWERS) AT MROB The answer is 40: the 1 2 +2 2 +3 2 +4 2 = 30 of the original puzzle, plus 5 for each of the smaller 2×2 puzzles that have been added. find all 42 squares. This is a tiny bit different from the popular 40-squares version. Again we have 30+10, but there are 2 more: for a total of 42. find all 67 squares. NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 20) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 19. . . Forward to page 21. . . Last page (page 25) 10 303 (centillion) The number centillion, which for a long time was the largest number with a single-word name in English (and many other languages that use the Chuquet names).In the majority of the English-speaking world centillion meant 10 600. LARGE NUMBERS (PAGE 6) AT MROB For the "busy beaver function" of SKI calculus, we define the length of a string in the obvious way: l (S) := length of the string S (number of symbols not including parentheses) . and the "output" of a string is the length of the result of beta-reducing it: IDENTIFY YOUR SDRAM BY THE NUMBERS ON THE CHIPS AT MROB To determine the size of a memory module (a small circuitboard bearing multiple packages) you need to know the number of packages on the module and the size of each package. I have indicated sizes of chips, when known, as "Mib", which is 2 20 bits. A "megabyte" is 8 Mib. For example, if the table shows that your memory chips are "64 Mib" chips MINIMALLY COMPLEX SEQUENCES (PAGE 12) AT MROB Minimally Complex Sequences -- Explore a wide variety of topics from large numbers to sociology at mrob.com THE "FIVE PROMISES" OF RICHARD ROHR: LESSONS FROM GENESIS The "Five Promises" of Richard Rohr: Lessons from Genesis The book ADAM'S RETURN: The Five Promises of Male Initiation by Richard Rohr (2004) presents a view of the modern male experience, the need for initiation, and a ritual process for initiation, and relates these things to five key distinctions that are found in the Garden of Eden### story in Genesis.

### 2147483648 - MROB

Skin: 死神永生 使徒 兵庫北 Chemistry. How to play: Use your arrow keys to move the tiles. When two tiles with the same number touch, they merge into one! BOWERS NAMED NUMBERS 4 3 hyperdimensions of 100 dimensions – a 100^100 array of ‘10 ‹100, 2› 100’s, where ‘10 ‹100, 2› 100’ is a 100^100 array of ‘10 ‹100› 100’s, where ‘10 ‹100› 100’ is a### 100^100 array of

CHRIS BIRD'S SUPER HUGE NUMBERS AT MROB Chris Bird's Super Huge Numbers at MROB. Chris Bird has done a lot of work on large numbers , including much original work that goes beyond that of others. He has created a system of fast-growing recursive functions that rivals or exceeds the functions of Jonathan Bowers and others. Of the following files, the first describes the relationship THE PUBLISHED DATA OF ROBERT MUNAFO AT MROB The Published Data of Robert Munafo. Explore Gray-Scott reaction-diffusion (nifty organic patterns produced by my highly-optimized PDE solver). My research paper and talk, etc. are here . The "Inverse Equation Solver" that quickly finds closed-form approximations for any number. As seen in xkcd. HYPERCALC -- THE CALCULATOR THAT DOESN'T OVERFLOW AT MROB The primary advantage of Hypercalc is that it does not "overflow": for large numbers, its range is far greater than hand-held calculators, calculator apps for phones, numeric libraries like gmp , or maths software like Mathematica. Here is a brief comparison (more LARGE NUMBERS (PAGE 6) AT MROB For the "busy beaver function" of SKI calculus, we define the length of a string in the obvious way: l (S) := length of the string S (number of symbols not including parentheses) . and the "output" of a string is the length of the result of beta-reducing it: IDENTIFY YOUR SDRAM BY THE NUMBERS ON THE CHIPS AT MROB To determine the size of a memory module (a small circuitboard bearing multiple packages) you need to know the number of packages on the module and the size of each package. I have indicated sizes of chips, when known, as "Mib", which is 2 20 bits. A "megabyte" is 8 Mib. For example, if the table shows that your memory chips are "64 Mib" chips NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 19) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 18. . . Forward to page 20. . . Last page (page 25) 1.786266388(40)×10 41. This is 2 to the power of the reciprocal fine-structure constant 137.0359 using the CODATA 2014 value of the latter. It is a simple use of the popular fine structure constant to produce a value close to the Dirac ratio 10 40. CHRIS BIRD'S SUPER HUGE NUMBERS AT MROB Chris Bird's Super Huge Numbers at MROB. Chris Bird has done a lot of work on large numbers , including much original work that goes beyond that of others. He has created a system of fast-growing recursive functions that rivals or exceeds the functions of Jonathan Bowers and others. Of the following files, the first describes the relationship DICE FOR BENFORD'S LAW DISTRIBUTION AT MROB To get the first digit of the significand, roll both Benford-significand dice together. If you roll a 1 or a 2, that's your first digit. Otherwise, there will be exactly one digit that appears on both dice. That's your first digit. For example, if your roll says " 3 6 " and " 6 5 9 ", your first digit is TIME (XKCD 1190) BY RANDALL MUNROE AT MROB Instructions: The "LIVE" button sets the picture based on the current date, but pretending that the year is 2013 (or 2014 if the date is before March 25). It will update the picture at each ONG (typically 1/2 hour or 1 hour). The "PLAY" button plays 1 frame every 2 seconds. USING AUXILIARY HEAT WITH A NEST THERMOSTAT AT MROB Using Auxiliary Heat with a Nest Thermostat If you have a central HVAC (heating / ventilation / air conditioning) system called a "heat pump", and live in an area where the temperature in the winter goes below about 50°F (or 10°C) then you probably have something called "emergency heat" or "auxiliary heat". OUTLINE OF ADAM'S RETURN BY RICHARD ROHR AT MROB ADAM'S RETURN: The Five Promises of Male Initiation (Richard Rohr, 2004) Richard Rohr is, by some estimates (including mine), the English-speaking world's #1 Christian prophet. He describes himself as a non-scholar, a "white middle-class American, who is secure, overeducated, ordained, unmarried and male." Writing/speaking about### men and male

HOW MANY SQUARES (WITH ANSWERS) AT MROB The answer is 40: the 1 2 +2 2 +3 2 +4 2 = 30 of the original puzzle, plus 5 for each of the smaller 2×2 puzzles that have been added. find all 42 squares. This is a tiny bit different from the popular 40-squares version. Again we have 30+10, but there are 2 more: for a total of 42. find all 67 squares. RIES - FIND ALGEBRAIC EQUATIONS, GIVEN THEIR SOLUTION AT MROBCONTACTNUMBERSABOUTRECENT CHANGESMU-ENCY If you want easily inverted solutions you can specify that there be only one x on the left-hand side, omitting things like " x -sin ( x )". ries can find the simplest way to (for example) express the value 27 using only the digit 4 and the four basic operators plus, minus,### times and divide.

WRITER. AN INCREMENTAL GAME Writer is an incremental game made between December 2013 and January 2014, by Eduardo Abel Gimenez after playing Cookie Clicker , Sandcastle Builder and others for a long time. Eduardo Abel Gimenez is an Argentine writer and novelist. Time played: 0 h, 0 m, 0 s. HYPERCALC -- THE CALCULATOR THAT DOESN'T OVERFLOW AT MROB The primary advantage of Hypercalc is that it does not "overflow": for large numbers, its range is far greater than hand-held calculators, calculator apps for phones, numeric libraries like gmp , or maths software like Mathematica. Here is a brief comparison (more NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 20) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 19. . . Forward to page 21. . . Last page (page 25) 10 303 (centillion) The number centillion, which for a long time was the largest number with a single-word name in English (and many other languages that use the Chuquet names).In the majority of the English-speaking world centillion meant 10 600. MIRA - A UNIQUE TEXT-ONLY WEB BROWSER AT MROB MIRA - A unique text-only web browser. mira (Munafo's Internet Research Assistant) is a simple web browser created to satisfy the following objectives (listed by priority): Keep a permanent record of where you have been and the text you have read while searching the Internet. Allow viewing of old web pages (and old versions of current### web pages

NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 21) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 20. . . Forward to page 22. . . Last page (page 25) 9.249477×10 4053945 = 2 13466917 - 1 . From late 2001 until 2003 Nov 17 this was the largest known prime number (the current record is here). See this list of all known Mersenne primes.. 10 4194304. The value of "vigintyllion" under D.E. Knuth's -yllion naming system See THE "FIVE PROMISES" OF RICHARD ROHR: LESSONS FROM GENESIS The "Five Promises" of Richard Rohr: Lessons from Genesis The book ADAM'S RETURN: The Five Promises of Male Initiation by Richard Rohr (2004) presents a view of the modern male experience, the need for initiation, and a ritual process for initiation, and relates these things to five key distinctions that are found in the Garden of Eden### story in Genesis.

BOWERS NAMED NUMBERS 4 3 hyperdimensions of 100 dimensions – a 100^100 array of ‘10 ‹100, 2› 100’s, where ‘10 ‹100, 2› 100’ is a 100^100 array of ‘10 ‹100› 100’s, where ‘10 ‹100› 100’ is a### 100^100 array of

CHRIS BIRD'S SUPER HUGE NUMBERS AT MROB Chris Bird's Super Huge Numbers at MROB. Chris Bird has done a lot of work on large numbers , including much original work that goes beyond that of others. He has created a system of fast-growing recursive functions that rivals or exceeds the functions of Jonathan Bowers and others. Of the following files, the first describes the relationship HOW MANY SQUARES (WITH ANSWERS) AT MROB The answer is 40: the 1 2 +2 2 +3 2 +4 2 = 30 of the original puzzle, plus 5 for each of the smaller 2×2 puzzles that have been added. find all 42 squares. This is a tiny bit different from the popular 40-squares version. Again we have 30+10, but there are 2 more: for a total of 42. find all 67 squares. RIES - FIND ALGEBRAIC EQUATIONS, GIVEN THEIR SOLUTION AT MROBCONTACTNUMBERSABOUTRECENT CHANGESMU-ENCY If you want easily inverted solutions you can specify that there be only one x on the left-hand side, omitting things like " x -sin ( x )". ries can find the simplest way to (for example) express the value 27 using only the digit 4 and the four basic operators plus, minus,### times and divide.

WRITER. AN INCREMENTAL GAME Writer is an incremental game made between December 2013 and January 2014, by Eduardo Abel Gimenez after playing Cookie Clicker , Sandcastle Builder and others for a long time. Eduardo Abel Gimenez is an Argentine writer and novelist. Time played: 0 h, 0 m, 0 s. HYPERCALC -- THE CALCULATOR THAT DOESN'T OVERFLOW AT MROB The primary advantage of Hypercalc is that it does not "overflow": for large numbers, its range is far greater than hand-held calculators, calculator apps for phones, numeric libraries like gmp , or maths software like Mathematica. Here is a brief comparison (more NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 20) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 19. . . Forward to page 21. . . Last page (page 25) 10 303 (centillion) The number centillion, which for a long time was the largest number with a single-word name in English (and many other languages that use the Chuquet names).In the majority of the English-speaking world centillion meant 10 600. MIRA - A UNIQUE TEXT-ONLY WEB BROWSER AT MROB MIRA - A unique text-only web browser. mira (Munafo's Internet Research Assistant) is a simple web browser created to satisfy the following objectives (listed by priority): Keep a permanent record of where you have been and the text you have read while searching the Internet. Allow viewing of old web pages (and old versions of current### web pages

NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 21) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 20. . . Forward to page 22. . . Last page (page 25) 9.249477×10 4053945 = 2 13466917 - 1 . From late 2001 until 2003 Nov 17 this was the largest known prime number (the current record is here). See this list of all known Mersenne primes.. 10 4194304. The value of "vigintyllion" under D.E. Knuth's -yllion naming system See THE "FIVE PROMISES" OF RICHARD ROHR: LESSONS FROM GENESIS The "Five Promises" of Richard Rohr: Lessons from Genesis The book ADAM'S RETURN: The Five Promises of Male Initiation by Richard Rohr (2004) presents a view of the modern male experience, the need for initiation, and a ritual process for initiation, and relates these things to five key distinctions that are found in the Garden of Eden### story in Genesis.

BOWERS NAMED NUMBERS 4 3 hyperdimensions of 100 dimensions – a 100^100 array of ‘10 ‹100, 2› 100’s, where ‘10 ‹100, 2› 100’ is a 100^100 array of ‘10 ‹100› 100’s, where ‘10 ‹100› 100’ is a### 100^100 array of

CHRIS BIRD'S SUPER HUGE NUMBERS AT MROB Chris Bird's Super Huge Numbers at MROB. Chris Bird has done a lot of work on large numbers , including much original work that goes beyond that of others. He has created a system of fast-growing recursive functions that rivals or exceeds the functions of Jonathan Bowers and others. Of the following files, the first describes the relationship THE PUBLISHED DATA OF ROBERT MUNAFO AT MROB The Published Data of Robert Munafo. Explore Gray-Scott reaction-diffusion (nifty organic patterns produced by my highly-optimized PDE solver). My research paper and talk, etc. are here . The "Inverse Equation Solver" that quickly finds closed-form approximations for any number. As seen in xkcd. MIRA - A UNIQUE TEXT-ONLY WEB BROWSER AT MROB MIRA - A unique text-only web browser. mira (Munafo's Internet Research Assistant) is a simple web browser created to satisfy the following objectives (listed by priority): Keep a permanent record of where you have been and the text you have read while searching the Internet. Allow viewing of old web pages (and old versions of current### web pages

THE "FIVE PROMISES" OF RICHARD ROHR: LESSONS FROM GENESIS The "Five Promises" of Richard Rohr: Lessons from Genesis The book ADAM'S RETURN: The Five Promises of Male Initiation by Richard Rohr (2004) presents a view of the modern male experience, the need for initiation, and a ritual process for initiation, and relates these things to five key distinctions that are found in the Garden of Eden### story in Genesis.

CHRIS BIRD'S SUPER HUGE NUMBERS AT MROB Chris Bird's Super Huge Numbers at MROB. Chris Bird has done a lot of work on large numbers , including much original work that goes beyond that of others. He has created a system of fast-growing recursive functions that rivals or exceeds the functions of Jonathan Bowers and others. Of the following files, the first describes the relationship IDENTIFY YOUR SDRAM BY THE NUMBERS ON THE CHIPS AT MROB To determine the size of a memory module (a small circuitboard bearing multiple packages) you need to know the number of packages on the module and the size of each package. I have indicated sizes of chips, when known, as "Mib", which is 2 20 bits. A "megabyte" is 8 Mib. For example, if the table shows that your memory chips are "64 Mib" chips ORRERY DESIGNS USING LEGO{(R)} ELEMENTS (PAGE 4) AT MROB Orrery Designs using LEGO { (r)} Elements (page 4) at MROB. First page . . . Back to page 3 . . . Forward to page 5 . . . Last page (page 7) Attaching a Planet and Moons to the Differential. 20071226. With the switch to set 8273 it was necessary to find a new, secure way to attach an arm to the differential because part part 3709b is not in ORRERY DESIGNS USING LEGO{(R)} ELEMENTS (PAGE 5) AT MROB Stacked Turntables: Two-Module Prototype. 20121215. After a long hiatus, an email request led me to review the most promising general-purpose design, which I called "Stacked Turntables, method 3".I still had the prototype I made back in 2008: USING AUXILIARY HEAT WITH A NEST THERMOSTAT AT MROB Using Auxiliary Heat with a Nest Thermostat If you have a central HVAC (heating / ventilation / air conditioning) system called a "heat pump", and live in an area where the temperature in the winter goes below about 50°F (or 10°C) then you probably have something called "emergency heat" or "auxiliary heat".### 2147483648 - MROB

Skin: 死神永生 使徒 兵庫北 Chemistry. How to play: Use your arrow keys to move the tiles. When two tiles with the same number touch, they merge into one! REACTION-DIFFUSION BY THE GRAY-SCOTT MODEL: PEARSON'S How I Simulate the Gray-Scott System. NOTE: If you want software for making patterns like these, see Ready and the other links below. The reaction-diffusion hacker emblem. The partial-differential equations are fairly easy to translate into computer code, although there are pitfalls and tradeoffs to consider in calculating the gradients (D u ∇ 2 u and D v ∇ 2 v terms). HOW MANY SQUARES (WITH ANSWERS) AT MROB The answer is 40: the 1 2 +2 2 +3 2 +4 2 = 30 of the original puzzle, plus 5 for each of the smaller 2×2 puzzles that have been added. find all 42 squares. This is a tiny bit different from the popular 40-squares version. Again we have 30+10, but there are 2 more: for a total of 42. find all 67 squares. RIES - FIND ALGEBRAIC EQUATIONS, GIVEN THEIR SOLUTION AT MROBCONTACTNUMBERSABOUTRECENT CHANGESMU-ENCY If you want easily inverted solutions you can specify that there be only one x on the left-hand side, omitting things like " x -sin ( x )". ries can find the simplest way to (for example) express the value 27 using only the digit 4 and the four basic operators plus, minus,### times and divide.

WRITER. AN INCREMENTAL GAME Writer is an incremental game made between December 2013 and January 2014, by Eduardo Abel Gimenez after playing Cookie Clicker , Sandcastle Builder and others for a long time. Eduardo Abel Gimenez is an Argentine writer and novelist. Time played: 0 h, 0 m, 0 s. HYPERCALC -- THE CALCULATOR THAT DOESN'T OVERFLOW AT MROB The primary advantage of Hypercalc is that it does not "overflow": for large numbers, its range is far greater than hand-held calculators, calculator apps for phones, numeric libraries like gmp , or maths software like Mathematica. Here is a brief comparison (more NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 20) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 19. . . Forward to page 21. . . Last page (page 25) 10 303 (centillion) The number centillion, which for a long time was the largest number with a single-word name in English (and many other languages that use the Chuquet names).In the majority of the English-speaking world centillion meant 10 600. MIRA - A UNIQUE TEXT-ONLY WEB BROWSER AT MROB MIRA - A unique text-only web browser. mira (Munafo's Internet Research Assistant) is a simple web browser created to satisfy the following objectives (listed by priority): Keep a permanent record of where you have been and the text you have read while searching the Internet. Allow viewing of old web pages (and old versions of current### web pages

NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 21) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 20. . . Forward to page 22. . . Last page (page 25) 9.249477×10 4053945 = 2 13466917 - 1 . From late 2001 until 2003 Nov 17 this was the largest known prime number (the current record is here). See this list of all known Mersenne primes.. 10 4194304. The value of "vigintyllion" under D.E. Knuth's -yllion naming system See THE "FIVE PROMISES" OF RICHARD ROHR: LESSONS FROM GENESIS The "Five Promises" of Richard Rohr: Lessons from Genesis The book ADAM'S RETURN: The Five Promises of Male Initiation by Richard Rohr (2004) presents a view of the modern male experience, the need for initiation, and a ritual process for initiation, and relates these things to five key distinctions that are found in the Garden of Eden### story in Genesis.

BOWERS NAMED NUMBERS 4 3 hyperdimensions of 100 dimensions – a 100^100 array of ‘10 ‹100, 2› 100’s, where ‘10 ‹100, 2› 100’ is a 100^100 array of ‘10 ‹100› 100’s, where ‘10 ‹100› 100’ is a### 100^100 array of

CHRIS BIRD'S SUPER HUGE NUMBERS AT MROB Chris Bird's Super Huge Numbers at MROB. Chris Bird has done a lot of work on large numbers , including much original work that goes beyond that of others. He has created a system of fast-growing recursive functions that rivals or exceeds the functions of Jonathan Bowers and others. Of the following files, the first describes the relationship HOW MANY SQUARES (WITH ANSWERS) AT MROB The answer is 40: the 1 2 +2 2 +3 2 +4 2 = 30 of the original puzzle, plus 5 for each of the smaller 2×2 puzzles that have been added. find all 42 squares. This is a tiny bit different from the popular 40-squares version. Again we have 30+10, but there are 2 more: for a total of 42. find all 67 squares. RIES - FIND ALGEBRAIC EQUATIONS, GIVEN THEIR SOLUTION AT MROBCONTACTNUMBERSABOUTRECENT CHANGESMU-ENCY If you want easily inverted solutions you can specify that there be only one x on the left-hand side, omitting things like " x -sin ( x )". ries can find the simplest way to (for example) express the value 27 using only the digit 4 and the four basic operators plus, minus,### times and divide.

WRITER. AN INCREMENTAL GAME Writer is an incremental game made between December 2013 and January 2014, by Eduardo Abel Gimenez after playing Cookie Clicker , Sandcastle Builder and others for a long time. Eduardo Abel Gimenez is an Argentine writer and novelist. Time played: 0 h, 0 m, 0 s. HYPERCALC -- THE CALCULATOR THAT DOESN'T OVERFLOW AT MROB The primary advantage of Hypercalc is that it does not "overflow": for large numbers, its range is far greater than hand-held calculators, calculator apps for phones, numeric libraries like gmp , or maths software like Mathematica. Here is a brief comparison (more NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 20) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 19. . . Forward to page 21. . . Last page (page 25) 10 303 (centillion) The number centillion, which for a long time was the largest number with a single-word name in English (and many other languages that use the Chuquet names).In the majority of the English-speaking world centillion meant 10 600. MIRA - A UNIQUE TEXT-ONLY WEB BROWSER AT MROB MIRA - A unique text-only web browser. mira (Munafo's Internet Research Assistant) is a simple web browser created to satisfy the following objectives (listed by priority): Keep a permanent record of where you have been and the text you have read while searching the Internet. Allow viewing of old web pages (and old versions of current### web pages

NOTABLE PROPERTIES OF SPECIFIC NUMBERS (PAGE 21) AT MROB Notable Properties of Specific Numbers First page. . . Back to page 20. . . Forward to page 22. . . Last page (page 25) 9.249477×10 4053945 = 2 13466917 - 1 . From late 2001 until 2003 Nov 17 this was the largest known prime number (the current record is here). See this list of all known Mersenne primes.. 10 4194304. The value of "vigintyllion" under D.E. Knuth's -yllion naming system See THE "FIVE PROMISES" OF RICHARD ROHR: LESSONS FROM GENESIS The "Five Promises" of Richard Rohr: Lessons from Genesis The book ADAM'S RETURN: The Five Promises of Male Initiation by Richard Rohr (2004) presents a view of the modern male experience, the need for initiation, and a ritual process for initiation, and relates these things to five key distinctions that are found in the Garden of Eden### story in Genesis.

BOWERS NAMED NUMBERS 4 3 hyperdimensions of 100 dimensions – a 100^100 array of ‘10 ‹100, 2› 100’s, where ‘10 ‹100, 2› 100’ is a 100^100 array of ‘10 ‹100› 100’s, where ‘10 ‹100› 100’ is a### 100^100 array of

CHRIS BIRD'S SUPER HUGE NUMBERS AT MROB Chris Bird's Super Huge Numbers at MROB. Chris Bird has done a lot of work on large numbers , including much original work that goes beyond that of others. He has created a system of fast-growing recursive functions that rivals or exceeds the functions of Jonathan Bowers and others. Of the following files, the first describes the relationship THE PUBLISHED DATA OF ROBERT MUNAFO AT MROB The Published Data of Robert Munafo. Explore Gray-Scott reaction-diffusion (nifty organic patterns produced by my highly-optimized PDE solver). My research paper and talk, etc. are here . The "Inverse Equation Solver" that quickly finds closed-form approximations for any number. As seen in xkcd. MIRA - A UNIQUE TEXT-ONLY WEB BROWSER AT MROB MIRA - A unique text-only web browser. mira (Munafo's Internet Research Assistant) is a simple web browser created to satisfy the following objectives (listed by priority): Keep a permanent record of where you have been and the text you have read while searching the Internet. Allow viewing of old web pages (and old versions of current### web pages

THE "FIVE PROMISES" OF RICHARD ROHR: LESSONS FROM GENESIS The "Five Promises" of Richard Rohr: Lessons from Genesis The book ADAM'S RETURN: The Five Promises of Male Initiation by Richard Rohr (2004) presents a view of the modern male experience, the need for initiation, and a ritual process for initiation, and relates these things to five key distinctions that are found in the Garden of Eden### story in Genesis.

CHRIS BIRD'S SUPER HUGE NUMBERS AT MROB Chris Bird's Super Huge Numbers at MROB. Chris Bird has done a lot of work on large numbers , including much original work that goes beyond that of others. He has created a system of fast-growing recursive functions that rivals or exceeds the functions of Jonathan Bowers and others. Of the following files, the first describes the relationship IDENTIFY YOUR SDRAM BY THE NUMBERS ON THE CHIPS AT MROB To determine the size of a memory module (a small circuitboard bearing multiple packages) you need to know the number of packages on the module and the size of each package. I have indicated sizes of chips, when known, as "Mib", which is 2 20 bits. A "megabyte" is 8 Mib. For example, if the table shows that your memory chips are "64 Mib" chips ORRERY DESIGNS USING LEGO{(R)} ELEMENTS (PAGE 4) AT MROB Orrery Designs using LEGO { (r)} Elements (page 4) at MROB. First page . . . Back to page 3 . . . Forward to page 5 . . . Last page (page 7) Attaching a Planet and Moons to the Differential. 20071226. With the switch to set 8273 it was necessary to find a new, secure way to attach an arm to the differential because part part 3709b is not in ORRERY DESIGNS USING LEGO{(R)} ELEMENTS (PAGE 5) AT MROB Stacked Turntables: Two-Module Prototype. 20121215. After a long hiatus, an email request led me to review the most promising general-purpose design, which I called "Stacked Turntables, method 3".I still had the prototype I made back in 2008: USING AUXILIARY HEAT WITH A NEST THERMOSTAT AT MROB Using Auxiliary Heat with a Nest Thermostat If you have a central HVAC (heating / ventilation / air conditioning) system called a "heat pump", and live in an area where the temperature in the winter goes below about 50°F (or 10°C) then you probably have something called "emergency heat" or "auxiliary heat".### 2147483648 - MROB

Skin: 死神永生 使徒 兵庫北 Chemistry. How to play: Use your arrow keys to move the tiles. When two tiles with the same number touch, they merge into one! REACTION-DIFFUSION BY THE GRAY-SCOTT MODEL: PEARSON'S How I Simulate the Gray-Scott System. NOTE: If you want software for making patterns like these, see Ready and the other links below. The reaction-diffusion hacker emblem. The partial-differential equations are fairly easy to translate into computer code, although there are pitfalls and tradeoffs to consider in calculating the gradients (D u ∇ 2 u and D v ∇ 2 v terms). mrob RIES Numbers### Largenum Sequences

### Mandelbrot

### Xmorphia

### Search:

THE PUBLISHED DATA OF ROBERT MUNAFO xkcd readers: RIES page is here### Robert Munafo

New Xmorphia Gallery### RIES

### Living Screensavers

Explore Gray-Scott reaction-diffusion (nifty organic patterns produced by my highly-optimized PDE solver). My research paper and talk, etc. are here . The "Inverse Equation Solver" that quickly finds closed-form approximations for any number. As seen in xkcd Some screensavers that use live video and massive GLSL calculation to create cool effects.### Robots

Numbers and Large Numbers### Hypercalc

The intuitively self-training RILYBOT 4 , and other projects with### LEGO ®

Interesting properties of numbers like 27 and 143; Googol, Googolplex, 27㉗27, and others far far beyond. The Calculator that doesn't overflow (with JavaScript web app### and standalone Perl

### versions)

### Mandelbrot Set

### A5646

### Eden File Format

Mu-ENCY, the Encyclopedia of the Mandelbrot Set. Somewhat technical, and incomplete. How I enumerated the 184321511 taxonomic classifications of 12 items; one of many pages on Integer Sequences### .

Working out the internal data format of this game, and also### Lunacraft

### Q04B

### LogCPU

### SPEC CPU Conversion

Based on 2048, with color graphics, boosts, and a lot more (artwork### by Randall Munroe).

A multi-core load monitor should use a log-log-scale! Probably of interest to computer history buffs. My resume (a bit untraditional, like me). More pages and topics, grouped by subject: -------------------------### MATHEMATICS

Dice : Links to examples of all known types of dice, mainly organised by number of sides; and lists of tabletop games telling which dice are used for each. Exponentially Distributed Dice : Dice to roll random numbers whose logarithms are evenly distributed. Benford: It's Not Just the Law — It's How We Roll. Formal Power Series algorithms (for now, just### the square root )

Generating Functions are discussed in the context of decimal expansions of fractions like 1/98 = 0.0102040816... How Many Squares : One of the more popular types of mathematical troll-bait. Hypercalc is my "calculator that cannot overflow", available as a web app### and a more powerful

Perl version for UNIX/Linux/Mac OS X and Cygwin. Integer Sequences : I have many pages on specific integer sequences like A181785 and A020916 (some of which required quite specialized high-speed programs); pages on sequence categories like 2nd-order linear recurrence and Narayana numbers; and a sorted table of sequences I find interesting, with links to these and many other pages. Large Numbers : The -illion names, tetration and faster-growing functions, Graham's number, and other fascinating ways to go far beyond the merely astronomical. Lucas Garron's "Three Indistinguishable Dice" Problem : a fun little puzzle involving how to make better use of a basically useless three-dice-in-a-box thingy. As seen on Numberphile. mcsfind : A program that will find the simplest recurrence-generated integer sequence given some initial### terms.

Minimally Complex Sequences : An exhaustive index of integer sequences generated by simple "classical" formulas. My Laws of Mathematics : Kinda humorous,### kinda serious.

Numbers : Notable properties of specific numbers, like 2.685452... , 107### , and 45360

### .

Puzzles : Not always mathematical, but those are the ones that I seem to discuss more often. MIT Mystery Hunt stuff### is here too.

Riemann Zeta Function MP3 File : Music that only a number theorist would love... Rubik's Cube and Other Rectangular Delights : My unique solution algorithms from 1982, some software, and a survey of similar puzzles like the 2×2×3. Sloandora : An interactive browser### for the OEIS

### ,

using a text concordance metric. -------------------------### SCIENCE

Computational Science : I discovered that the Gray-Scott system supports patterns about as complex as those in Conway's Game of Life. This page links to the paper I wrote and the talk I gave on the same topic.### "Popular" Science :

Orrery : A solar system model built from LEGO### parts.

Size Scales Exhibit : An adapted and improved version of the AMNH Rose Center exhibit. Slide Rules : Notes about slide rules and photos of ones I made myself. Solar System : Some facts and figures about the planets and their orbits. Tides : A step-by-step explanation of the tides, designed to explain all the differences that occur from one day to the next and from one location to another. -------------------------### COMPUTER SCIENCE

Here are most of the topics that will not be obsolete with 's### next release of .

Alternative Number Systems : A list of the most popular alternatives to fixed-point (integer) and floating-point representations, and the advantages and disadvantages of each. Answers to Questions on Stack Exchange Sites : I couldn't add corrections or comments directly, so I have published### them here.

automeme : A tool for the automatic generation of "mad-libs" style texts, with a simple and powerful specification language. Diameter-Degree or "TTL" problem : a graph theory problem related to wiring multi-processor computer### networks.

Floating-Point Formats : A list of the ranges and precisions of various floating-point implementations over### the years.

Functional Computation : A set of recursive definitions starting with a minimal set of LISP-like functions, and specifically related to work of Turing and Gödel. My High-Performance Projects : Just a brief summary of all the CPU-intensive projects I've created over the years, from Z80 assembly-language to the present. Hypercalc : The calculator that doesn't overflow. Available as a JavaScript web application courtesy of Kenny TM~ Chan, and in a standalone Perl version that supports 295-digit precision and is programmable in BASIC. LogCPU : a simple, very efficient load monitor for MacOS X. (This is in the general CS category because it is a good example of elegant display and UI) Minimal RNN Implementation in Python : A recurrent neural network that models plain text, based on this gist### by @karpathy,

but greatly enhanced. MIRA : A text-only web browser with unique features, designed for scholars and others who conduct research on the### Internet.

Perl scripts : The language of choice of those who have that occasional "hankerin' for some hackerin'" png-csum-fix : Program that recomputes the CRCs in a PNG file; also allows changing colour table (palette)### entries on the fly.

Programming Languages : An automated survey of the popularity of various computer languages. RHTF : The "embarassingly-readable" markup language I created for these webpages. SimpleGet : A small stand-alone replacement for the perl library LWP::Simple. The SPEC Benchmarks : Conversion formulas for the industry-standard CPU benchmarks. ------------------------- _This QR does not loop._ ------------------------- COMPUTERS, VIDEOGAMES, ETC. Items in this section are brand-specific, dated, and/or purely### recreational.

Apple II Colors : An exact calculation of the RGB values of the lores (COLOR=) and hires (HCOLOR=) colors on the Apple ][ emulator for### UN*X and Linux.

------------------------- OTHER PAGES OF PERHAPS LESSER INTEREST: Abbreviations : Common phrases that are frequently made obscure by abbreviation. Archetypes : A Periodic Table of Jungian personality archetypes. Associativity Matrix : A little twisty maze of thoughts, all different. Blogs : In addition to my primary blog, Robert Munafo's General Weblog , I also have two blogs hosted by blog-specific websites: Robert Munafo on Blogspot and Robert Munafo on WordPress### .

Core Values : An attempt to describe my preferences for how to prioritise life and make decisions (thus, highly subjective and in need of continual revision). Data : Miscellaneous small bits of data I want to### publish.

Experimental page : For my experiments with HTML and JavaScript (it's published mainly so I can check it from gatewayed ISP's like AOL and WebTV, and limited viewers like smartphones). Extropianism : Why we shouldn't feel quite so bad about the future. Filk : Some funny lyrics I've written. Friends : Links to Web pages of various friends and co-conspirators. Gearing Ideas and Notes : Mosty related### to my orrery work.

General Blog : A weblog of articles not limited to any particular topic. History of Music : Focusing on the industrialized distribution of music as a recent and unnatural### phenomenon.

Index to the One True Thread : Silliness and serious creativity for hopelessly obsessed xkcd fans.### Linux rules : Duh.

Mamma Mia : The Broadway musical. MBTI : A Karnaugh map of the Myers-Briggs### personality types

Mispronounced Words : My bid for the "most useless collection of data on a web page" world record. MIT OCW 18.06SC errata : Has several corrections and a cross-reference guide to the newer textbook### by Prof. Strang.

Movies : Some material I have written that relates to a few movies. (See also the Top Movies### list.)

Nest Thermostat: Using Auxiliary Heat : One of the many topics that are poorly documented on the official### website.

Non-Obvious Answers to the Stupid Problems Life Gives Us : like how to find a practical lid-wrench. Non-Obvious Answers to the Senseless Impediments Google Throws at Us : pretty much what it says on the tin. Pod People : from Apple Customers to Werewolves — organized and classified for your amusement and as a### public service.

PVC Espas : A musical instrument I have built. SAMPA : A clear concise way to represent### phonetics in ASCII.

South Park on the Gun Debate, Without Blood or Bullets : Fan fiction written for### early 2013.

Split Sleep : Sleeping twice per day for### greater efficiency

Top Movies : My list of top movies of all time, rated by attendance (number of tickets sold) in U.S.### theatres.

xkcd 1190 "Time" : discussion forum index -------------------------### _You do._

-------------------------### INCOMPLETE WORK

The following links represent projects that I lost interest in. Apple Computer : Notes about the company and its history (currently just covers the "1984" commercial) DVCRs : The "digital VCRs" TiVo and### ReplayTV.

F161 : High-precision floating-point data types. This software is complete, but effort to document it is not. United States Constitution : Reordered so as to place each provisison of the Amendments in its most logical place within the original seven Articles. Windows Answers : Answers to questions encountered by Microsoft WindowsTM users. ------------------------- ABANDONED OR OBSOLETE The following are articles that I no longer consider accurate. Digital Video : QuickTime Codec performance, efficiency and quality. (Was accurate around 2002) GarageBand : Hints and tips relating to the Apple program GarageBand (became obsolete with iLife 05). Identity Fraud : How to discover and cancel fraudulent credit applications made in your name. (This is out of date mainly because of changes due to the Patriot act.) Stages of Civilization : A brief discussion of where we've been and where we are headed. -------------------------### WAITING

Accuracy yet to be determined. Predictions of the Future : Written in 2000, most has neither been disproven nor has come to pass. ------------------------- My old Google searchstories video ------------------------- LEGO is a registered trademark of the LEGO Company, which does not sponsor, authorize, or endorse this site. Windows is a registered trademark of Microsoft Corporation. This website is the property of Munafo Robotics. Is and its content are not connected to or endorsed by any other company or corporation. ------------------------- Robert Munafo's home pages on HostMDS © 1996-2020 Robert P. Munafo. about contact This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Details here### .

This page was written in the "embarrassingly readable" markup language RHTF , and was last updated on 2020 Mar 26. s.11# Details

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