Re: [Jchat] J, APL, or calendars?

Just to make it very clear, Rogers's J results were, > (Minna " 1 # ]) (Lucy "1 # ]) (Ax "1 # ]) P > 0 0 1 0 > 0 1 1 1 which match exactly my J results, >find o #: o i. 2^4 > 0 0 1 0 > 0 1 1 1 and my associated comments were, >NB. That is, Lucy (either sane or insane) is a vampire

Re: [Jchat] J, APL, or calendars?

That said, I should perhaps also mention that I was ... using ... Apple's fine "macbook" product, which in this case means most of my time composing that message was spent trying to get the mouse pointer into the positions that the underlying software needed it to be positioned. I don't know for

Re: [Jchat] J, APL, or calendars?

I guess I was distinguishing between set up statements and concluding statements. And I tried to ignore set up statements which were not Bo's. In other words, I saw >NB. That is, Lucy (either sane or insane) is a vampire and >NB. Minna (either sane or insane) is a human And presumed that

Re: [Jchat] J, APL, or calendars?

SPOIllER ALERT—solution Yes there are two plausible scenarios—only need to know Lucy is a Vampire and Minna is human and do not need to know who is sane or insane. Donna Y dy...@sympatico.ca > On Jun 12, 2018, at 7:09 AM, Raul Miller wrote: > > Lucy is vampire and sane and Minna is human

Re: [Jchat] J, APL, or calendars?

Hmm... here was my approach. I think I got different results: lucy=: {."1 minna=: {:"1 species=: 2&| diagnosis=: 1&< human=: 0=species vampire=: 1=species sane=: 0=diagnosis insane=: 1=diagnosis invalid=: ~:/"1@(2

Re: [Jchat] J, APL, or calendars?

Jose, I agree with you exactly. Here is my calculation: NB. There are four independent propositions: Lucy human, Lucy sane, Minna human, Minna sane. NB. Therefore there are 16 possibilities, each representable as a 4-bit string. P =: #: i. 16 NB. set of all possibilities: , 0001, 0010 etc

Re: [Jchat] J, APL, or calendars?

Friday night I decided to try to fall asleep by thinking about the puzzle and I thought I had solved it. This evening I wrote a wicked script to verify my thought process and I got the same result but it does not seem to match your conclusion. This is what I found... *** POTENTIAL SPOILER

Re: [Jchat] J, APL, or calendars?

See my notes on your explanation of Ordinal Fractions Donna Y dy...@sympatico.ca > On Jun 8, 2018, at 3:40 AM, 'Bo Jacoby' via Chat wrote: I am beginning to understand some things you are saying about your concept of Ordinal Fractions. Ideas that are explained and seem elegant, useful,

Re: [Jchat] J, APL, or calendars?

The Transylvanian problem, solved using ordinal fractions. sane humans and insane vampires make only true statements; insane humans and sane vampires make only false statements. This is the coding, 0001 Minna is human 0002 Minna is vampire 0010 Minna is sane 0020 Minna is insane 0100 Lucy is

Re: [Jchat] J, APL, or calendars?

When in elementary school there was a chart showing the numbers. But the zero was to the right of the nine. That confused me then. No wonder kids have difficulty grasping the concept of zero. On Fri, Jun 8, 2018, 8:34 AM Björn Helgason wrote: > beenary numbers > >

Re: [Jchat] J, APL, or calendars?

beenary numbers https://m.phys.org/news/2018-06-scientists-bees-concept.html On Fri, 8 Jun 2018 07:40 'Bo Jacoby' via Chat, wrote: > Cardinal numbers (0, 1, 2, . . .) are including 0 (zero). > Ordinal numbers (1, 2, 3, . . .) are starting with 1 (first). There is no > "zeroth". > There is

Re: [Jchat] J, APL, or calendars?

Cardinal numbers (0, 1, 2, . . .) are  including 0 (zero). Ordinal numbers (1, 2, 3, . . .) are  starting with 1 (first). There is no "zeroth". There is arithmetic of cardinal numbers (including the J verbs + * ^ ! ) , but there is no arithmetic of ordinal numbers. The codes of the UDC are

Re: [Jchat] J, APL, or calendars?

Can we agree on definitions Ordinal numbers and Cardinal numbers are Natural numbers which do no include the number 0. The Natural numbers are well ordered. Whole numbers are the Natural numbers and 0. 0 is the least element of the Whole numbers. Integers are Whole numbers and Negative signed

Re: [Jchat] J, APL, or calendars?

"You do not show how to access particular rows or columns or elements from a table". The table, and the table name, is addressed by 00.  The left column, and the left column header, is addressed by 01. The right column, and the right column header, is addressed by 02. The upper row, and the

Re: [Jchat] J, APL, or calendars?

UDC is a library classification system akin to the Dewey decimal system—the creators collaborated with Dewy. UTC is also used for data. > Every number is thought of as a decimal fraction with the initial decimal > point omitted, which determines the filing order. I am not sure why you say it

Re: [Jchat] J, APL, or calendars?

How come the mail system removed the new line characters? Den 9:48 torsdag den 7. juni 2018 skrev 'Bo Jacoby' via Chat : Thanks to Donna for the interest and for the information.  Ordinal Fractions is an improvement to the idea behind the Universal Decimal Classification (UDC).

Re: [Jchat] J, APL, or calendars?

Thanks to Donna for the interest and for the information.  Ordinal Fractions is an improvement to the idea behind the Universal Decimal Classification (UDC). Consider this example from wikipedia. 51 Mathematics 510Fundamental and general considerations of mathematics 511Number

Re: [Jchat] J, APL, or calendars?

Typically you begin at the beginning—the new century begins right after midnight, right after the last day of the 99th year. I have no clue why you describe a system where > Let me tell you how calendars are treated with ordinal fractions. Consider > the years from 1 to 5000. Any year is a

Re: [Jchat] J, APL, or calendars?

Interesting! Is the zeroth century from year -99 to year 0, or from year -100 to year -1, or from year 0 to year 99? Den 20:54 onsdag den 6. juni 2018 skrev Donna Y : Notice the the year 0 in Astronomical year numbering is > Fred Espanak of NASA

Re: [Jchat] J, APL, or calendars?

Notice the the year 0 in Astronomical year numbering is > Fred Espanak of NASA lists 50 phases of > the moon within year 0, showing that it is a full year, not an instant in > time. This zero in not nothing. It is like 0 degrees in C or F thermometers but

Re: [Jchat] J, APL, or calendars?

On 6/5/18, Jose Mario Quintana wrote: > Let us do it the other way around; pick two dates with a similar timespan > using the BC/AD world standard. > How many years, months and days have passed between them? Does the > question even make sense? Forget about it. Let us try another one: how >

Re: [Jchat] J, APL, or calendars?

Björn Helgason wrote: > https://marymagdalenefrancetours.com/did-jesus-live-in-france/ Right, this is the stuff of legend; some related items follow (you might, or might not, find the last item interesting): The appearance of Jesus in the Americas is presumably believed by approximately 16M

Re: [Jchat] J, APL, or calendars?

Harvey wrote: > Actually, it's rather easy--it all depends on the number 4. If you're > dealing with century years (100 years, ending with 00), then it's a > leap year if the century year is divisible by 400 (100x4); otherwise > it's not a leap year. If you're dealing with a non-century year,

Re: [Jchat] J, APL, or calendars?

some people say half seven meaning 18:30 while others mean 19:30. lot of different meanings and sign language is also very different in different parts of the world. On 5 Jun 2018 12:46, "'Bo Jacoby' via Chat" wrote: > The proposed calender addresses points in time rather than intervals of >

Re: [Jchat] J, APL, or calendars?

The proposed calender addresses points in time rather than intervals of time. It does'n address "the twentyfirst century". Before the advent of clocks the hours were addressed by ordinal numbers, like "the eleventh hour", but a clock shows the cardinal number of hours and minutes elapsed since

Re: [Jchat] J, APL, or calendars?

https://marymagdalenefrancetours.com/did-jesus-live-in-france/ On Tue, 5 Jun 2018 04:00 PR PackRat, wrote: > On 6/4/18, Jose Mario Quintana wrote: > > Harvey wrote: > >> It's just the way it is. > > I merely intended to inject some reality. Despite all of the > discussions and arguments pro

Re: [Jchat] J, APL, or calendars?

On 6/4/18, Jose Mario Quintana wrote: > Harvey wrote: >> It's just the way it is. I merely intended to inject some reality. Despite all of the discussions and arguments pro and con for various perspectives, nothing is going to change current civilization regarding dates and times. Everybody in

Re: [Jchat] J, APL, or calendars?

See: Pope Benedict Disputes Jesus’ Date of Birth Pope Benedict’s book, Jesus of Nazareth: The Infancy Narratives ...the Gospel of Matthew claims that Jesus was born when Herod the Great ruled in Judea. However, given that Herod died in 4 B.C., Jesus must have been born earlier than Exiguus

Re: [Jchat] J, APL, or calendars?

Harvey wrote: > BC AD > 3 2 1 1 2 3 > > Or, using a numerical approach (negative dates for BC): > -3 -2 -1 1 2 3 > Dec. 31, 1 BC was followed by Jan. 1, 1 AD (in our terminology). It's > a world standard. It's just the way it is. "The way it is" unfortunately introduced,

Re: [Jchat] J, APL, or calendars?

Donna wrote: > Dionysius invented the Anno Domini era about 525 C.E. > ... > He stated Jesus’ birth as 525 years ago without saying why Do you have a reference? This seems to be, at least, controversial; see, Anno Domini https://en.wikipedia.org/wiki/Anno_Domini#History Thus Dionysius

Re: [Jchat] J, APL, or calendars?

Let me tell you how calendars are treated with ordinal fractions. Consider the years from 1 to 5000. Any year is a year in a decennium in a century in a  millenium,  The year 2010 is the tenth year in the first decennium in the first century in the third millenium.    

Re: [Jchat] J, APL, or calendars?

On 6/1/18, R.E. Boss wrote: > IMO there is definitely a year 0, ... With all due respect, ask any historian (or others who deal with dates in the various divisions of knowledge). I'm sure they will indicate that the years at the switch between BC and AD are as follows (I can't do

Re: [Jchat] J, APL, or calendars?

Raul said: > This reminds me that 90, in French, is quatre-vingt-dix which > translates into J as (4*20)+10 Swiss French is unorthodox in the Francophone world because it has decimalish words for 70, 80, and 90: septant, octante, nonante.

Re: [Jchat] J, APL, or calendars?

I do not "bother other people with peculiarities which hinders them to start at 0", but (as everybody else) I do distinguish between cardinal numbers (including 0) and ordinal numbers (starting at "first"). An age is a cardinal number, and a year number is an ordinal number. You are perfectly

Re: [Jchat] J, APL, or calendars?

The first decade of the Julien calendar had as many years as most people have fingers on their to hands that they use to count. The years numbered in Roman Numerals: I, II, III, IV, V, VI, VII, VIII, IX, X, Of course in those days they did not write IV for four or IX for nine—that came about

Re: [Jchat] J, APL, or calendars?

the 2 Apl On Fri, 1 Jun 2018 14:01 Donna Y, wrote: > Roger was also at the table as well as others from IPSharp when Ken told > me about the Book of J—a book written by Bloom around 1989 that presented > the theory held by Bloom and others that J as a oman— > > > My J is a Gevurah ("great

Re: [Jchat] J, APL, or calendars?

Roger was also at the table as well as others from IPSharp when Ken told me about the Book of J—a book written by Bloom around 1989 that presented the theory held by Bloom and others that J as a oman— > My J is a Gevurah ("great lady") of post-Solomonic court circles, herself of > Davidic

Re: [Jchat] J, APL, or calendars?

On 5/31/18, R.E. Boss wrote: >> The [current] decade consist[s] of the >> years 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020. > > That's your definition > My decade, like the one of most others, start at 2010. If it's really true that the current decade starts at the beginning of

Re: [Jchat] J, APL, or calendars?

Last two laptops I got don't. I used to be a good touch typist. But computers have ruined me. On Thu, May 31, 2018 at 4:27 PM, PR PackRat wrote: > On 5/31/18, Don Guinn wrote: > > There used to be a small bump on the J key for touch typists. > > My PC keyboard still has bumps on both the F and

Re: [Jchat] J, APL, or calendars?

On 5/31/18, Don Guinn wrote: > There used to be a small bump on the J key for touch typists. My PC keyboard still has bumps on both the F and J keys, as well as on the 5 in the numeric keypad. Do some more recent keyboards NOT have these keyboard "helps" any more? Harvey

Re: [Jchat] J, APL, or calendars?

Hi Donna Y. A cardinal fraction (like "three fourths") measures the size of a set. An ordinal fraction (like "third fourth") identifies a set. The idea, name, notation and arithmetic of ordinal fractions was invented in 1980, and in 1986 I submitted a paper to the International Federation for

Re: [Jchat] J, APL, or calendars?

This is way off-topic--so please forgive me--but I wanted to clarify some previous messages: On 5/31/18, Donna Y wrote: > Once I asked Ken about the name of J language and he referred me to the Book > of J for some clues: Somewhere in the J literature Roger Hui relates how he named it after the

Re: [Jchat] J, APL, or calendars?

Are you re-inventing the rational numbers by another name? Donna Y dy...@sympatico.ca > On May 31, 2018, at 12:10 PM, 'Bo Jacoby' via Chat wrote: > > The ordinal fraction is my invention. -- For information about J forums see

Re: [Jchat] J, APL, or calendars?

> See also: https://en.wikipedia.org/wiki/Natural_number > Notation[edit > ] > > Mathematicians use N or ℕ (an N in blackboard bold > ) to refer to the set >

Re: [Jchat] J, APL, or calendars?

Donna is a mathematician; see https://en.wikipedia.org/wiki/Cardinal_number and https://en.wikipedia.org/wiki/Ordinal_number for the natural numbers in the context of ordinals and cardinals. On Thu, May 31, 2018 at 2:16 PM, Raul Miller wrote: > Ah... true... > > But there's at least two

Re: [Jchat] J, APL, or calendars?

Ah... true... But there's at least two different definitions in use for natural numbers. These correspond to APL's []IO <- 0 and []IO <- 1 See also: https://en.wikipedia.org/wiki/Natural_number Thanks, -- Raul On Thu, May 31, 2018 at 2:13 PM, Donna Y wrote: > In any case it has a number

Re: [Jchat] J, APL, or calendars?

In any case it has a number system that includes natural numbers as a subset and natural numbers are both cardinal and ordinal. Donna Y dy...@sympatico.ca > On May 31, 2018, at 1:50 PM, Raul Miller wrote: > > J has complex numbers, including imaginary numbers, actually. > > Thanks, > > --

Re: [Jchat] J, APL, or calendars?

J has complex numbers, including imaginary numbers, actually. Thanks, -- Raul On Thu, May 31, 2018 at 1:42 PM, Donna Y wrote: > There are Natural numbers that can be used for counting (Cardinal) and > ordering (Ordinal). > > Indexing arrays is an instance of Ordinals. > > Counting elements

Re: [Jchat] J, APL, or calendars?

There are Natural numbers that can be used for counting (Cardinal) and ordering (Ordinal). Indexing arrays is an instance of Ordinals. Counting elements in arrays is an instance of Cardinal. J might not have Irrational or Imaginary or Complex numbers but it does have Natural numbers which

Re: [Jchat] J, APL, or calendars?

On Thu, May 31, 2018 at 11:48 AM, Jose Mario Quintana wrote: >> Are you referring to the notation you invented, here? > > The notation I invented? Oops, I thought you were Bo, for some reason. I don't remember all the details of the notations he has proposed. But that's my mistake and not a

Re: [Jchat] J, APL, or calendars?

> -Original Message- > From: Chat On Behalf Of 'Bo Jacoby' > via Chat > Sent: donderdag 31 mei 2018 17:56 > To: c...@jsoftware.com > Subject: Re: [Jchat] J, APL, or calendars? > > "My decade, like the one of most others, start at 2010". Let's agre

Re: [Jchat] J, APL, or calendars?

I was refering to "ordinal number" as explained in the wiktionary:"First, second and third are the ordinal numbers corresponding to one, two and three". That is not my invention. The ordinal fraction is my invention. Den 17:56 torsdag den 31. maj 2018 skrev 'Bo Jacoby' via Chat :

Re: [Jchat] J, APL, or calendars?

"My decade, like the one of most others, start at 2010". Let's agree that each decade (or decennium) is ten years long. The first decennium starts at the first year and includes the tenth year. So the  n'th  decennium starts at the (1+10*(n-1))th year. The two hundred and second decennium

Re: [Jchat] J, APL, or calendars?

> Are you referring to the notation you invented, here? The notation I invented? > When I try to look up "finite mathematical ordinals" I don't see > anything significant with that label. And when I try to parse that In general, mathematical ordinals and mathematical cardinals are not the

Re: [Jchat] J, APL, or calendars?

Are you referring to the notation you invented, here? When I try to look up "finite mathematical ordinals" I don't see anything significant with that label. And when I try to parse that phrase as individual words, I see no contradiction with what I had said. Thanks, -- Raul On Thu, May 31,

Re: [Jchat] J, APL, or calendars?

> showing that the argument (4) is actually a cardinal number rather > than an ordinal number. The element (4 { i.7) is not the fourth but > rather the first after having dropped 4 elements. The element > dropped 0 elements. There are no ordinal numbers in J. I was referring to the finite

Re: [Jchat] J, APL, or calendars?

"If someone is 8 years old, she is in her 9th year, I would say. And what do you say?" I agree. The number of years that have passed is 8, and this year is her 9th. Christ is 2017 years old in this year 2018.  Den 15:50 torsdag den 31. maj 2018 skrev 'Bo Jacoby' via Chat :    

Re: [Jchat] J, APL, or calendars?

Alternatively: J's cardinal numbers are equivalent to ordinal numbers (as you illustrated, we use them as ordinals - we use them denote positions in listw). "We" have simply removed APL's deliberate support for the ambiguity of these concepts, and have gone with a convenient approach in the

Re: [Jchat] J, APL, or calendars?

   

Re: [Jchat] J, APL, or calendars?

> -Original Message- > From: Chat On Behalf Of 'Bo Jacoby' > via Chat > Sent: woensdag 30 mei 2018 23:58 > > Centuries within millenia have periodically repeating names: first century . . > tenths century. They describe time intervals in exactly the same way. Today > is: 3. millenium, 1.

Re: [Jchat] J, APL, or calendars?

> -Original Message- > From: Chat On Behalf Of 'Bo Jacoby' > via Chat > Sent: woensdag 30 mei 2018 21:26 > "2018 is the ninth year of the second decade etc"? No!The first decade > consist of the years 1 2 3 4 5 6 7 8 9 10.  Says who? >  The 202. decade consist of the > years 2011 2012 

Re: [Jchat] J, APL, or calendars?

In rome people were very scared the years -4, -3, -2 and -1 what would happen year 0 On Wed, 30 May 2018 22:03 Raul Miller, wrote: > Last I heard, 1970 was part of the twentieth century - I have never > heard it referred to as the tenths century? > > > Perhaps also worth reviewing the

Re: [Jchat] J, APL, or calendars?

The verb ({) can be considered shorthand for ([:{.}.) 4 { i.7 4 4 ([:{.}.) i.7 4 showing that the argument (4) is actually a cardinal number rather than an ordinal number. The element (4 { i.7) is not the fourth but rather the first after having dropped 4 elements. The element (0 { i.7) is not

Re: [Jchat] J, APL, or calendars?

Raul Miller: > This dating system dates back to the romans, and pre-dates the invention of > the zero. Right, it preceded the invention of the zero in both, the New World, and the Old World. Bo Jacoby: > Are you missing the point? The ordinal numbers used for counting centuries > and years are

Re: [Jchat] J, APL, or calendars?

The 20. century is the 10. century of the 2. millenium.  Den 0:03 torsdag den 31. maj 2018 skrev Raul Miller : Last I heard, 1970 was part of the twentieth century - I have never heard it referred to as the tenths century? Perhaps also worth reviewing the definitions here: Century:

Re: [Jchat] J, APL, or calendars?

Last I heard, 1970 was part of the twentieth century - I have never heard it referred to as the tenths century? Perhaps also worth reviewing the definitions here: Century: 1. a period of one hundred years. "a century ago most people walked to work" 2. a company in the ancient Roman army,

Re: [Jchat] J, APL, or calendars?

> I trust you can see the distinctions. Unfortunately, off by one, is the most common programming error. So likely there are misunderstandings between coder and programmer ... or just within the programmer hirself. As this discussion so ably demonstrates. ~greg krsnadas.org

Re: [Jchat] J, APL, or calendars?

Centuries within millenia have periodically repeating names: first century . . tenths century. They describe time intervals in exactly the same way. Today is: 3. millenium, 1. century, 2. decennium, 8. year, 5. month, 30. day.  Den 23:43 onsdag den 30. maj 2018 skrev Raul Miller : And

Re: [Jchat] J, APL, or calendars?

The months of the year have names. Not any period of 28, 29, 30 or 31 days is a month. The years and centuries are numbered. 1956..2055 does not have a century number and is not a century.  Den 21:41 onsdag den 30. maj 2018 skrev Raul Miller : The years 1956..2055 are indeed a century.

Re: [Jchat] J, APL, or calendars?

The years 1956..2055 are indeed a century. They are not, however, a Gregorian century. Nor, a Julian century. I trust you can see the distinctions. -- Raul On Wed, May 30, 2018 at 3:36 PM, 'Bo Jacoby' via Chat wrote: > "tjugohundratalen" means the years 2000 . . 2099. This period is not a

Re: [Jchat] J, APL, or calendars?

"tjugohundratalen" means the years 2000 . . 2099. This period is not a century, even if it consists of 100 consecutive years. The years 1956 . . 2055 is not a century either. The years 1 . . 100 is the 1. century. The years 2001 . . 2100 is the 21. century.  Den 21:25 onsdag den 30. maj

Re: [Jchat] J, APL, or calendars?

Sure seems Einstein was correct. According to his special theory of relativity, time varies depending on one's speed and location. There seems to be no agreement on time in this thread. On Wed, May 30, 2018 at 10:25 AM, Björn Helgason wrote: > In Sweden they say 2018 as tjugohundraarton or

Re: [Jchat] J, APL, or calendars?

In Sweden they say 2018 as tjugohundraarton or tjugoarton We are now in tjugohundratalen. You can say it as twentyhundredeighteen or twentyeighteen. We are now in the twentyhundreds or the twentyhundrednumbers. On Wed, 30 May 2018 16:03 R.E. Boss, wrote: > > From: Chat On Behalf Of 'Bo Jacoby'

Re: [Jchat] J, APL, or calendars?

> From: Chat On Behalf Of 'Bo Jacoby' > via Chat > Sent: dinsdag 29 mei 2018 08:14 > Do we agree that this year, AD 2018, is the eighth year of the of the > second decade of the first century of the third millenium? Or do you > consider it to be the seventh year of the first decade of the

Re: [Jchat] J, APL, or calendars?

Right: the year 1941 was in the twentieth century. This dating system dates back to the romans, and pre-dates the invention of the zero. Thanks, — Raul On Wednesday, May 30, 2018, 'Bo Jacoby' via Chat wrote: > Are you missing the point? The ordinal numbers used for counting centuries > and

Re: [Jchat] J, APL, or calendars?

Are you missing the point? The ordinal numbers used for counting centuries and years are  1. 2. 3. and so on. No such thing as a zeroth century. 0-origin indexing is useful, but the numbers are not ordinal. The degree of a polynomial is the maximum exponent, and the exponents are cardinal

Re: [Jchat] J, APL, or calendars?

This nice day, May 29, 2018, according to some Day Keepers, is 13.0.5.9.5. That is right, they have been counting days avoiding inevitable complicated correction rules when trying to synchronize years and days (KISS). (Yet, the date 13.0.0.0.0 corresponded to December 21, 2012.) On Tue, May 29,

Re: [Jchat] J, APL, or calendars?

Clearly, this year is 10 Prairial CCXXVI Well, unless you are using the Hebrew calendar - then it’s the year 5778. Etc... (Translation: the answer here depends on your religious beliefs) I hope this helps. Have a nice day. Thanks, — Raul On Tuesday, May 29, 2018, 'Bo Jacoby' via Chat

Re: [Jchat] J, APL, or calendars?

Do we agree that this year, AD 2018, is the eighth year of the of the second decade of the first century of the third millenium? Or do you consider it to be the seventh year of the first decade of the zeroth century of the second millenium? The time passed until year 2018 are 2 millenia, 0

Re: [Jchat] J, APL, or calendars?

Personally, I feel more comfortable with the usual mathematical perspective: 0 is the first ordinal, 1 is the second, etc. Moreover, from this perspective (as far as I remember), there is no difference between finite cardinal and ordinal numbers. ] A=. 'First' ; 'Second' ; 'Third' ; 'Fourth'

Re: [Jchat] J, APL, or calendars?

Ordinal numbers are not considered in J. The expression 2{y should not be read as "take the second element of y" but as "skip 2 elements and take the left element of y".  Ordinal Fractions use one-digit ordinal numbers for indexing. There are but nine one-digit ordinal numbers: 1 2 3 4 5 6 7 8

Re: [Jchat] J, APL, or calendars?

Stopwatches and odometers can also be used to label time intervals to associate them to events occurring in those intervals and keep track of the order in which they take place. In fact, conceptual odometers counting days have been used at least for two millennia and detecting a day when a big

Re: [Jchat] J, APL, or calendars?

:D It seems that these people like complications. They are not very smart or maybe they are... Job security! On Wed, May 23, 2018 at 7:14 PM, David Lambert wrote: > Our credit union had used employee numbers for account numbers. But ran > out of 5 digit numbers. Did

[Jchat] J, APL, or calendars?

Our credit union had used employee numbers for account numbers. But ran out of 5 digit numbers. Did they change our accounts to 0abcde? No! They multiplied 10 leaving us as abcde0. -- For information about J forums see