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ABOUT US - VECTOR
The BAA promotes the APLs, terse programming languages derived from Iverson’s. mathematical notation.. These languages flourish where low code volume and fast development take priority. THE DOCTOR AND THE DOC Right from the beginning, it was about power. He was a young mathematician at Harvard, helping the economist Leontief work on the input-output matrices for which he later won the Nobel Prize. POWERFUL CSV PROCESSING WITH KDB+ REFLECTIONS ON LANGLET’S APL THEORY OF HUMAN VISION Because the Helix transform is its own inverse, applying it to the transformed image will reproduce the original striped image. Further investigation shows that the Helix transform of any binary image that (a) is square, (b) has a side whose length is a power of two, and (c) consists only of alternating equal-width black and white stripes will have a single 1 in the first row if the stripes VOLUME 26, NO. 2 ARCHIVES It began badly. We were walking along the South Downs Way in early summer, the sun glittering on VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR - THE JOURNAL OF THE BRITISH APL ASSOCIATION Comma-separated text files (CSV) are the most fundamental format for data processing. All programming languages and software that supportworking
ABOUT US - VECTOR
The BAA promotes the APLs, terse programming languages derived from Iverson’s. mathematical notation.. These languages flourish where low code volume and fast development take priority. THE DOCTOR AND THE DOC Right from the beginning, it was about power. He was a young mathematician at Harvard, helping the economist Leontief work on the input-output matrices for which he later won the Nobel Prize. POWERFUL CSV PROCESSING WITH KDB+ REFLECTIONS ON LANGLET’S APL THEORY OF HUMAN VISION Because the Helix transform is its own inverse, applying it to the transformed image will reproduce the original striped image. Further investigation shows that the Helix transform of any binary image that (a) is square, (b) has a side whose length is a power of two, and (c) consists only of alternating equal-width black and white stripes will have a single 1 in the first row if the stripes VOLUME 26, NO. 2 ARCHIVES It began badly. We were walking along the South Downs Way in early summer, the sun glittering on VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UKLOG IN - VECTOR
Welcome to Vector, the Journal of the British APL Association.The BAA promotes the APLs, terse programming languages derived from Iverson’s mathematical notation.WHAT IS AN ARRAY?
Infinite arrays can be implemented by specifying the index function as a function. For example, the index function for ⍳∞ is the identity function, ⊢ or {⍵}.. Let x and y be infinite vectors with index functions fx and fy.If s1 is a scalar monadic function, then s1 x is an infinite vector and its index function is s1∘fx, s1composed withfx.
WRITING A UTILITY FUNCTION S5 is feasible as a train but too much of a mouthful for this article.. Epilogue. This was only a brief look at writing utilities in general. The key idea here is that the more general your code is the more costly it is likely to be. SIXTEEN APL AMUSE-BOUCHES The amuse-bouche is the best way to express big ideas in small bites. – Jean-Georges Vongerichten, 2002 Such were the vagaries of what may have been the most powerful computer language ever hatched by a Canadian. Yes, I know that James Gosling, an alumnus of the University of Calgary, was the “father of Java.”IMPENDING KOS
It began badly. We were walking along the South Downs Way in early summer, the sun glittering on the English Channel on our right, the Weald of Sussex stretching away to our left. “How big,” asked Arthur, “should a text editor be?” I’ve known Whitney most of my life. I know what he does. IJ-OTTINGS 58
showing that averaging loses some of the information implicit in ordering. Where the term ‘benefit-cost ratio’ is used it is worth checking that the numerator reflects net benefits – effectively that is it is inherently a profit ratio. If only inflows appear in the numerator it is a ‘selling price/cost price’ ratio and thus related to mark-up rather than return. J-OTTINGS 59 LOVE ACTUARILY… The final check was to test my verbs on Jeremy’s data – they work! (Incidentally in his Figure 6 there appear to be a couple of +/ s missing on the lines which total ultimates and reserves).. Albeit at a distance, this seems to me to illustrate nicely how actuaries and J users can collaborate. VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION script began 20:06:43 caching off debug mode off cache time 3600 sec indmtime not found in cache cached index is fresh recompiling index.xml index compiled in 0.3543 secs read index read issues/index.xml identified 26 volumes, 101 issues array ( 'id' => '10009060', ) regenerated static HTML article source is 'HTML' source file encoding is '' read as 'Windows-1252' URL: wrapup.jpg =>trad/v202
VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION script began 4:00:46 caching off debug mode off cache time 3600 sec indmtime not found in cache cached index is fresh recompiling index.xml index compiled in 0.3085 secs read index read issues/index.xml identified 26 volumes, 101 issues array ( 'id' => '10000690', ) regenerated static HTML article source is 'HTML' source file encoding is 'ASCII' read as 'Windows-1252' URL: barman101_59-fig1 VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION Meeting: Dyalog APL Namespaces. by John Scholes Introduction. This was the first chance any of us had had to see the new Dyalog environment, but perhaps more significant for the future of APL was the implementation of ‘namespaces’ which Dyadic have pioneered in version 7 of Dyalog/W. VECTOR - THE JOURNAL OF THE BRITISH APL ASSOCIATION Comma-separated text files (CSV) are the most fundamental format for data processing. All programming languages and software that support working with relational data, also provide some level of CSV handling. Most students of statistics are overwhelmed by theABOUT US - VECTOR
The BAA promotes the APLs, terse programming languages derived from Iverson’s. mathematical notation.. These languages flourish where low code volume and fast development take priority. POWERFUL CSV PROCESSING WITH KDB+ REFLECTIONS ON LANGLET’S APL THEORY OF HUMAN VISION Abstract. In the APL Theory of Human Vision , , Langlet introduced a computational model, the “neurobit network.”This model, it is claimed, is able to (1) detect periodic replications in data and (2) compress boolean vectors, reducing their lengths without loss ofinformation.
SIXTEEN APL AMUSE-BOUCHES The amuse-bouche is the best way to express big ideas in small bites. – Jean-Georges Vongerichten, 2002 Such were the vagaries of what may have been the most powerful computer language ever hatched by a Canadian. Yes, I know that James Gosling, an alumnus of the University of Calgary, was the “father of Java.” VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION Alternatively, y⌹x computes a linear regression for y wherein the constant term is the mean of y; that is, the best least square “fit” of a vector by a single number, is its mean. 3. x⍳x Index-of with both arguments being the same, an instance of a “selfie” .x⍳x are like ID numbers; questions of identity on x can often be answered more efficiently on x⍳x than on x itself. VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION K is the language part of kdb+, Arthur’s frighteningly fast column-store database, used by trading rooms to handle huge real-time data flows from financial exchanges. It started off at Morgan Stanley in the 1980s as an APL stripped for speed and became A+ , and for two decades the bank’s development environment for tradingapplications.
VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR - THE JOURNAL OF THE BRITISH APL ASSOCIATION Comma-separated text files (CSV) are the most fundamental format for data processing. All programming languages and software that support working with relational data, also provide some level of CSV handling. Most students of statistics are overwhelmed by theABOUT US - VECTOR
The BAA promotes the APLs, terse programming languages derived from Iverson’s. mathematical notation.. These languages flourish where low code volume and fast development take priority. POWERFUL CSV PROCESSING WITH KDB+ REFLECTIONS ON LANGLET’S APL THEORY OF HUMAN VISION Abstract. In the APL Theory of Human Vision , , Langlet introduced a computational model, the “neurobit network.”This model, it is claimed, is able to (1) detect periodic replications in data and (2) compress boolean vectors, reducing their lengths without loss ofinformation.
SIXTEEN APL AMUSE-BOUCHES The amuse-bouche is the best way to express big ideas in small bites. – Jean-Georges Vongerichten, 2002 Such were the vagaries of what may have been the most powerful computer language ever hatched by a Canadian. Yes, I know that James Gosling, an alumnus of the University of Calgary, was the “father of Java.” VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION Alternatively, y⌹x computes a linear regression for y wherein the constant term is the mean of y; that is, the best least square “fit” of a vector by a single number, is its mean. 3. x⍳x Index-of with both arguments being the same, an instance of a “selfie” .x⍳x are like ID numbers; questions of identity on x can often be answered more efficiently on x⍳x than on x itself. VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION K is the language part of kdb+, Arthur’s frighteningly fast column-store database, used by trading rooms to handle huge real-time data flows from financial exchanges. It started off at Morgan Stanley in the 1980s as an APL stripped for speed and became A+ , and for two decades the bank’s development environment for tradingapplications.
VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UKWHAT IS AN ARRAY?
What is an array? An array is a function from a set of indices to numbers, characters, . A rank-n array is one whose function f applies to n-tuples of non-negative integers. A rank-n array is rectangular if there exist non-negative integer maxima s = (s 0, s 1, , s n-1 ) such that f (i 0, i 1, , i n-1 ) is defined (has a value) for all WRITING A UTILITY FUNCTION This function is very limited in domain and only works sensibly on a numeric vector. If we need a more general function, one that could shift N places, like Rotate, we could add a left argument to specify the number of places to shift as in. ∇r← n S2 vec r← n ↓ vec,n⍴0 ∇. APL. ∇r← n S2 vec. SIXTEEN APL AMUSE-BOUCHES The amuse-bouche is the best way to express big ideas in small bites. – Jean-Georges Vongerichten, 2002 Such were the vagaries of what may have been the most powerful computer language ever hatched by a Canadian. Yes, I know that James Gosling, an alumnus of the University of Calgary, was the “father of Java.”A TOOL OF THOUGHT
I am often asked “what is APL good for”? I reply that APL is good for almost anything but that it is also very good at prototyping. With it you can experiment and use it as a tool for thinking about the problem at hand. It is easy in APL to manipulate data and buildIMPENDING KOS
The kdb+ interpreter is tiny: about 100Kb. (And yes, kdb+ programs are interpreted, not compiled.) As the code base improved, kdb+ releases became faster – and smaller. Kdb+ has sharp elbows. Impatient with the speed of Windows, kdb+ wins aMARKDOWN & MARKAPL
Kai Jaeger at BAA 2016 (20/05/2016) Kai Jaeger presents Markdown and MarkAPL. He gives examples of its use and some tools to work with it. Kai explains that there are different implementations of markdown and that hopefully there will soon to be an official web standard. Kai describes his experiences in implementing a Markdown compiler J-OTTINGS 59 LOVE ACTUARILY… At the next step there are three known measures of third period growth which can be averaged, viz. (33+22+19)/ (24+18+16) = 1.276 leading to an estimated ultimate value for the third list of 14×1.276×1.2×1.125 = 24.12. Now express this in J. The first calculation step is to describe the age-to-age factors (Jeremy’sterm), that is the
VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION script began 15:18:11 caching off debug mode off cache time 3600 sec indmtime not found in cache cached index is fresh recompiling index.xml index compiled in 0.3416 secs read index read issues/index.xml identified 26 volumes, 101 issues array ( 'vol' => '19', ) regenerated static HTML completed in 0.415 secs VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION Note that this article contains quite a bit of APL code - this is in APL2741 font, downloadable from this site (32K). There is a new problem in showing the {match} symbol in IE5 (it is treated as an optional hyphen), so it has now been duplicated in the font at position ch(166) which will paste into APL*PLUS as the split-stilecharacter.
VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION This was one of those talks we will never see in detail in Vector – much of the more proprietary technical material was understandably excluded from the talk. However, from an APLers point of view, one of the most hopeful signs was the emergence of a strengthened APL VECTOR - THE JOURNAL OF THE BRITISH APL ASSOCIATION Comma-separated text files (CSV) are the most fundamental format for data processing. All programming languages and software that support working with relational data, also provide some level of CSV handling. Most students of statistics are overwhelmed by theABOUT US - VECTOR
The BAA promotes the APLs, terse programming languages derived from Iverson’s. mathematical notation.. These languages flourish where low code volume and fast development take priority. THE DOCTOR AND THE DOC The doctor and the doc. Right from the beginning, it was about power. He was a young mathematician at Harvard, helping the economist Leontief work on the input-output matrices for which he later won the Nobel Prize. The young mathematician needed a notation. Albertans are POWERFUL CSV PROCESSING WITH KDB+ WRITING A UTILITY FUNCTION This function is very limited in domain and only works sensibly on a numeric vector. If we need a more general function, one that could shift N places, like Rotate, we could add a left argument to specify the number of places to shift as in. ∇r← n S2 vec r← n ↓ vec,n⍴0 ∇. APL. ∇r← n S2 vec. VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK REFLECTIONS ON LANGLET’S APL THEORY OF HUMAN VISION Abstract. In the APL Theory of Human Vision , , Langlet introduced a computational model, the “neurobit network.”This model, it is claimed, is able to (1) detect periodic replications in data and (2) compress boolean vectors, reducing their lengths without loss ofinformation.
VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UKCONTENTS
VECTOR Vol. 24 N°2&3 3 EDITORIAL It has been a long time since were last able to print Vector, so here is a fat issue.It has been a busy time. Ian Clark and his collaborators in the J VECTOR - THE JOURNAL OF THE BRITISH APL ASSOCIATION Comma-separated text files (CSV) are the most fundamental format for data processing. All programming languages and software that support working with relational data, also provide some level of CSV handling. Most students of statistics are overwhelmed by theABOUT US - VECTOR
The BAA promotes the APLs, terse programming languages derived from Iverson’s. mathematical notation.. These languages flourish where low code volume and fast development take priority. THE DOCTOR AND THE DOC The doctor and the doc. Right from the beginning, it was about power. He was a young mathematician at Harvard, helping the economist Leontief work on the input-output matrices for which he later won the Nobel Prize. The young mathematician needed a notation. Albertans are POWERFUL CSV PROCESSING WITH KDB+ WRITING A UTILITY FUNCTION This function is very limited in domain and only works sensibly on a numeric vector. If we need a more general function, one that could shift N places, like Rotate, we could add a left argument to specify the number of places to shift as in. ∇r← n S2 vec r← n ↓ vec,n⍴0 ∇. APL. ∇r← n S2 vec. VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK REFLECTIONS ON LANGLET’S APL THEORY OF HUMAN VISION Abstract. In the APL Theory of Human Vision , , Langlet introduced a computational model, the “neurobit network.”This model, it is claimed, is able to (1) detect periodic replications in data and (2) compress boolean vectors, reducing their lengths without loss ofinformation.
VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UKCONTENTS
VECTOR Vol. 24 N°2&3 3 EDITORIAL It has been a long time since were last able to print Vector, so here is a fat issue.It has been a busy time. Ian Clark and his collaborators in the JA MODERN APL SYSTEM
Syntax. Most of the syntax is inspired by K and Q, because they are very convenient and compact languages. However, they do some steps in the false direction, like making a difference between verbs and functions. q)2+2 4 q)3 {x+y}5 ’type. APL. q)2+2. 4. q)3{x+y}5.’type.
A TOOL OF THOUGHT
Quite a difference. With just a little more effort we improved our original solution a lot. And there are even faster solutions. Conclusion. APL provides us with an environment where we can experiment “hands on” to study situations, verify results and makebetter decisions.
THE DOCTOR AND THE DOC The doctor and the doc. Right from the beginning, it was about power. He was a young mathematician at Harvard, helping the economist Leontief work on the input-output matrices for which he later won the Nobel Prize. The young mathematician needed a notation. Albertans areREADING NEW CODE
Let’s have a look at that Dfn in more details: Reading from the right inside the Dfn ‘, ’ is the first function encountered but the object to its left is bound to the operator Power ( ⍣) so ‘, ’ is monadic, it is the Ravel function. It turns the scalar 1 to its right into a 1-element vector containing the number 1. LARGER THAN LIFE AUTOMATA Section 3. Two-dimensional Larger than Life Automata. Two-dimensional Larger than Life automata can be implemented using modest modifications to LtL1d and LtL1dt.In particular, we need square tesselations, we need to locate the center in ravel order, we need to extend periodically in two dimensions and we need sum over the squareneighborhoods.
APLX IS OUT, LONG LIVE APL APLX is out, long live APL. Recently, the people at APLX announced their intention to retire and let APLX loose, sans support. Users who are willing to live with it will have to rely on other APLX users for help. Those who want to migrate to another vendor have the choice of going to APL2, APL2000, Dyalog APL, Nars2000 or one of the newer APLs VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION script began 5:53:38 caching off debug mode off cache time 3600 sec indmtime not found in cache cached index is fresh recompiling index.xml index compiled in 0.3302 secs read index read issues/index.xml identified 26 volumes, 101 issues array ( 'vol' => '26', ) regenerated static HTML completed in 0.3981 secs VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION Let's have a look at that Dfn in more details: Reading from the right inside the Dfn ‘, ’ is the first function encountered but the object to its left is bound to the operator Power ( ⍣) so ‘, ’ is monadic, it is the Ravel function. It turns the scalar 1 to its right into a 1-element vector containing the number 1. VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION Meeting: Dyalog APL Namespaces. by John Scholes Introduction. This was the first chance any of us had had to see the new Dyalog environment, but perhaps more significant for the future of APL was the implementation of ‘namespaces’ which Dyadic have pioneered in version 7 of Dyalog/W. VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION script began 4:00:46 caching off debug mode off cache time 3600 sec indmtime not found in cache cached index is fresh recompiling index.xml index compiled in 0.3085 secs read index read issues/index.xml identified 26 volumes, 101 issues array ( 'id' => '10000690', ) regenerated static HTML article source is 'HTML' source file encoding is 'ASCII' read as 'Windows-1252' URL: barman101_59-fig1 VECTOR - THE JOURNAL OF THE BRITISH APL ASSOCIATION Comma-separated text files (CSV) are the most fundamental format for data processing. All programming languages and software that support working with relational data, also provide some level of CSV handling. Most students of statistics are overwhelmed by the NOTATION AS A TOOL OF PROOF Robert Pullman. APL is used to analyze the symmetries of magic squares. ⎕IO of 1 used throughout.. 1. A Primer On Magic Squares. The classic magic square of order N is an arrangement of ⍳N*2 into an N by N matrix A such that the sum of each of the N rows, N columns, and both diagonals equals the same value – (N×1+N*2)÷2. There is no solution for N=2 so presume N>2. THE DOCTOR AND THE DOC The doctor and the doc. Right from the beginning, it was about power. He was a young mathematician at Harvard, helping the economist Leontief work on the input-output matrices for which he later won the Nobel Prize. The young mathematician needed a notation. Albertans are POWERFUL CSV PROCESSING WITH KDB+ WRITING A UTILITY FUNCTION This function is very limited in domain and only works sensibly on a numeric vector. If we need a more general function, one that could shift N places, like Rotate, we could add a left argument to specify the number of places to shift as in. ∇r← n S2 vec r← n ↓ vec,n⍴0 ∇. APL. ∇r← n S2 vec. VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK REFLECTIONS ON LANGLET’S APL THEORY OF HUMAN VISION Abstract. In the APL Theory of Human Vision , , Langlet introduced a computational model, the “neurobit network.”This model, it is claimed, is able to (1) detect periodic replications in data and (2) compress boolean vectors, reducing their lengths without loss ofinformation.
VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR - THE JOURNAL OF THE BRITISH APL ASSOCIATION Comma-separated text files (CSV) are the most fundamental format for data processing. All programming languages and software that support working with relational data, also provide some level of CSV handling. Most students of statistics are overwhelmed by the NOTATION AS A TOOL OF PROOF Robert Pullman. APL is used to analyze the symmetries of magic squares. ⎕IO of 1 used throughout.. 1. A Primer On Magic Squares. The classic magic square of order N is an arrangement of ⍳N*2 into an N by N matrix A such that the sum of each of the N rows, N columns, and both diagonals equals the same value – (N×1+N*2)÷2. There is no solution for N=2 so presume N>2. THE DOCTOR AND THE DOC The doctor and the doc. Right from the beginning, it was about power. He was a young mathematician at Harvard, helping the economist Leontief work on the input-output matrices for which he later won the Nobel Prize. The young mathematician needed a notation. Albertans are POWERFUL CSV PROCESSING WITH KDB+ WRITING A UTILITY FUNCTION This function is very limited in domain and only works sensibly on a numeric vector. If we need a more general function, one that could shift N places, like Rotate, we could add a left argument to specify the number of places to shift as in. ∇r← n S2 vec r← n ↓ vec,n⍴0 ∇. APL. ∇r← n S2 vec. VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK REFLECTIONS ON LANGLET’S APL THEORY OF HUMAN VISION Abstract. In the APL Theory of Human Vision , , Langlet introduced a computational model, the “neurobit network.”This model, it is claimed, is able to (1) detect periodic replications in data and (2) compress boolean vectors, reducing their lengths without loss ofinformation.
VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UK VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATIONSEE MORE ON ARCHIVE.VECTOR.ORG.UKA MODERN APL SYSTEM
Syntax. Most of the syntax is inspired by K and Q, because they are very convenient and compact languages. However, they do some steps in the false direction, like making a difference between verbs and functions. q)2+2 4 q)3 {x+y}5 ’type. APL. q)2+2. 4. q)3{x+y}5.’type.
READING NEW CODE
Let’s have a look at that Dfn in more details: Reading from the right inside the Dfn ‘, ’ is the first function encountered but the object to its left is bound to the operator Power ( ⍣) so ‘, ’ is monadic, it is the Ravel function. It turns the scalar 1 to its right into a 1-element vector containing the number 1.CO-OPERATORS
APL. 0 0 1 0 f or g or h or j w ←→ 0 0 1 0( ( (f or g)or h)or j)w. I hope you can guess what this is intended to do. In the specific case above I want the result to be the result of h w, the boolean vector being used as a mask to select from the four operand functions which to apply to argument w. LARGER THAN LIFE AUTOMATA Section 3. Two-dimensional Larger than Life Automata. Two-dimensional Larger than Life automata can be implemented using modest modifications to LtL1d and LtL1dt.In particular, we need square tesselations, we need to locate the center in ravel order, we need to extend periodically in two dimensions and we need sum over the squareneighborhoods.
J-OTTINGS 59 LOVE ACTUARILY… At the next step there are three known measures of third period growth which can be averaged, viz. (33+22+19)/ (24+18+16) = 1.276 leading to an estimated ultimate value for the third list of 14×1.276×1.2×1.125 = 24.12. Now express this in J. The first calculation step is to describe the age-to-age factors (Jeremy’sterm), that is the
VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION script began 5:53:38 caching off debug mode off cache time 3600 sec indmtime not found in cache cached index is fresh recompiling index.xml index compiled in 0.3302 secs read index read issues/index.xml identified 26 volumes, 101 issues array ( 'vol' => '26', ) regenerated static HTML completed in 0.3981 secs PHIL LAST, AUTHOR AT VECTOR A Notation for APL array Embedding and Serialization. Posted by Phil Last | May 30, 2016 | Volume 26, No. 4 |. Most systems include a number of tables or arrays that are referred to frequently but rarely changed. I examine the utility and possibility of making these and other data easily visible, editable and transferable between VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION Let's have a look at that Dfn in more details: Reading from the right inside the Dfn ‘, ’ is the first function encountered but the object to its left is bound to the operator Power ( ⍣) so ‘, ’ is monadic, it is the Ravel function. It turns the scalar 1 to its right into a 1-element vector containing the number 1. VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION script began 4:00:46 caching off debug mode off cache time 3600 sec indmtime not found in cache cached index is fresh recompiling index.xml index compiled in 0.3085 secs read index read issues/index.xml identified 26 volumes, 101 issues array ( 'id' => '10000690', ) regenerated static HTML article source is 'HTML' source file encoding is 'ASCII' read as 'Windows-1252' URL: barman101_59-fig1 VECTOR, THE JOURNAL OF THE BRITISH APL ASSOCIATION The Journal of the British APL Association. The BAA promotes the APLs, terse programming languages derived from Iverson’s mathematicalnotation.
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VOLUME 27, NO. 1
Latest
BOOK REVIEW—FUN Q: A FUNCTIONAL INTRODUCTION TO MACHINE LEARNING INQ
by Daniel Krizian | Nov 9, 2020 | Volume 27, No. 1 |0
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Tale of twelve algorithms An adventure from the plains of distance and similarity; on the rivers...*
POWERFUL CSV PROCESSING WITH KDB+ by Ferenc Bodon | Sep 10, 2020 | Volume 27, No. 1 | 0|
*
THE DOCTOR AND THE DOC by Stephen Taylor | Feb 2, 2020 | Volume 27, No. 1 | 0|
*
LARGER THAN LIFE AUTOMATA by Cliff Reiter | May 30, 2019 | Volume 27, No. 1 | 0|
*
J-OTTINGS 59 LOVE ACTUARILY… by Norman Tomson | May 29, 2019 | Volume 27, No. 1 |0 |
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TAMING STATISTICS WITH LIMITED-DOMAIN OPERATORS by Stephen Mansour | May 29, 2019 | Volume 27, No. 1| 0
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CONQUERING RECURSION by John Earnest | May 29, 2019 | Volume 27, No. 1 | 0|
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WRITING A UTILITY FUNCTION by Dan Baronet | Aug 30, 2016 | Volume 27, No. 1 | 0|
ALL
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WHAT IS AN ARRAY?
by Rodger Hui | Nov 30, 2012 | Volume 25, No. 2&3 | 0|
In a recent e-mail , John Scholes reminded me of his last encounter with Ken Iverson,...*
POWERFUL CSV PROCESSING WITH KDB+ by Ferenc Bodon | Sep 10, 2020 | Volume 27, No. 1 | 0|
*
TAMING STATISTICS WITH LIMITED-DOMAIN OPERATORS by Stephen Mansour | May 29, 2019 | Volume 27, No. 1| 0
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*
SECOND CHILDHOOD
by Stephen Taylor | Mar 12, 2016 | Volume 26, No. 4 | 0|
ALL
Latest
BOOK REVIEW—FUN Q: A FUNCTIONAL INTRODUCTION TO MACHINE LEARNING INQ
by Daniel Krizian | Nov 9, 2020 | Volume 27, No. 1 |0
|
Tale of twelve algorithms An adventure from the plains of distance and similarity; on the rivers...*
POWERFUL CSV PROCESSING WITH KDB+ by Ferenc Bodon | Sep 10, 2020 | Volume 27, No. 1 | 0|
*
THE DOCTOR AND THE DOC by Stephen Taylor | Feb 2, 2020 | Volume 27, No. 1 | 0|
*
LARGER THAN LIFE AUTOMATA by Cliff Reiter | May 30, 2019 | Volume 27, No. 1 | 0|
VOLUME 26, NO. 4
Popular
SECOND CHILDHOOD
by Stephen Taylor | Mar 12, 2016 | Volume 26, No. 4 | 0|
Editor’s note The story below of what happened to The Childcare Company recounts events which have...*
BOOK REVIEW — Q TIPS: FAST, SCALABLE AND MAINTAINABLE KDB+ by Yang Guo | Mar 22, 2016 | Volume 26, No. 4 | 0|
*
READING NEW CODE
by Dan Baronet | Mar 1, 2016 | Volume 26, No. 4 | 0|
*
LETTING DATA TELL A STORY WITH KDB+ by Paul Loughran | Mar 29, 2016 | Volume 26, No. 4 |0
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VOLUME 26, NO. 2
Top Rated
IMPENDING KOS
by Stephen Taylor | Sep 1, 2014 | Volume 26, No. 2 | 0|
It began badly. We were walking along the South Downs Way in early summer, the sun glittering on...*
A TOOL OF THOUGHT
by Dan Baronet | Sep 1, 2014 | Volume 26, No. 2 | 0|
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SEARCHING FOR THE STATE IN WHICH WONDERFUL THINGS ARE INEVITABLE by Gianfranco Alongi | Sep 1, 2014 | Volume 26, No. 2| 0
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VOLUME 25, NO. 2&3
Latest
WHAT IS AN ARRAY?
by Rodger Hui | Nov 30, 2012 | Volume 25, No. 2&3 | 0|
In a recent e-mail , John Scholes reminded me of his last encounter with Ken Iverson,...*
CO-OPERATORS
by Phil Last | Mar 30, 2012 | Volume 25, No. 2&3 | 0|
VIDEO
Latest
PI FOR BRAINS
by Mike | May
20, 2016 | Video | 0|
Romilly Cocking at BAA 2016 (20/05/2016) Take a look at neural network experiments running in APL on the multi-core Raspberry Pi 3 and the new £4 Raspberry Pi Zero.*
XAML AND APL ON THE WEB by Michael Hughes | May 20, 2016 | Video | 0|
*
GIT IN THE APL ROOM
by Stephen Taylor | May 20,2016 | Video | 0
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*
MARKDOWN & MARKAPL
by Kai Jaeger | May 20,2016 | Video | 0
|
BOOK REVIEW—FUN Q: A FUNCTIONAL INTRODUCTION TO MACHINE LEARNING INQ
by Daniel Krizian | Nov 9, 2020 | Volume 27, No. 1 |0
|
Tale of twelve algorithms An adventure from the plains of distance and similarity; on the rivers...Read More
THE DOCTOR AND THE DOC by Stephen Taylor | Feb 2, 2020 | Volume 27, No. 1 | 0|
Ken Iverson spent his life writing and talking about q’s ancestorlanguage APL.
Q has been all about implementation and performance. Now the documentation is catching up.Read More
J-OTTINGS 59 LOVE ACTUARILY… by Norman Tomson | May 29, 2019 | Volume 27, No. 1 |0 |
In my experience of demonstrating APL and later J to potential customers, the one group for which...Read More
POWERFUL CSV PROCESSING WITH KDB+ by Ferenc Bodon | Sep 10, 2020 | Volume 27, No. 1 | 0|
Comma-separated text files (CSV) are the most fundamental format for data processing. All programming languages and software that support working with relational data, also provide some level of CSV handling.Read More
LARGER THAN LIFE AUTOMATA by Cliff Reiter | May 30, 2019 | Volume 27, No. 1 | 0|
Read More
TAMING STATISTICS WITH LIMITED-DOMAIN OPERATORS by Stephen Mansour | May 29, 2019 | Volume 27, No. 1| 0
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Most students of statistics are overwhelmed by the sheer number of functions and procedures...Read More
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