Author: spchamp

“On Not Reinventing the Wheel” – Outline of an ad hoc Thesis – Mathematics in a Critical Perspective

  • A Perspective on Elementary Mathematics
    • “Shortcut Methods” not known to be supportive of any long-term learning
    • Theoretical foundations of mathematics by-in-large absent from contemporary teaching methods in elementary mathematics courses
  • Abstract Algebra not a Marketable Skill?
    • Macroeconomic trends and jobs data
    • Cultures and Mathematics
  • Novelty … from Theory?
    • Relevance of Analytic Geometry in Computer Graphics Applications
    • Relevance of Analytic Geometry in Geodessy – Navigational Methods, Survey Methods,  and Postcolonial Geography
    • Relevance of Algebraic Methods in Theory and Applications of Analytic Geometry
    • Relevance of procedural Logics and definitions of Set Theory, throughout Mathematical Disciplines
    • Abstract Algebra, Computational Models, and non-propietary Information Science
  • Novelty no End in Itself
    • Social-Political-Economic Theory – Consumerism as Modern Culture in Globalized Societies, Novelty as Material Device in Consumerist Marketing
    • Theoretical foundations of mathematical methods critical for understanding of qualities and limits of applications in Mathematics
    • Mathematical Philosophy – viz a viz Bertrand Russel – as an intuitive feature of mathematical knowledge, contrasted to technical features of Mathematical applications
    • This is not “Revenge of the Nerds” – Sensationalism, Sentiments, Cinema, and Technical Proficiency in Material Systems
  • Cultures of Mathematical Canon
    • Historic developments in mathematical canon
    • Narrative as cultural expression – Empires, Engineers, Metropolitan Socities, Artistans, Pirates, and the Limits of all that Glitters
    • Academia in a Global Geography
    • Mathematics not “All about Economics”
  • KM and Mathematics
    • Knowledge Models, Knowledge Representation, Knowledgebases, and Applications of Expert Systems
    • Historianship as a Scholastic Quality of Service – not all Histories are “Sunny,” not all Histories are Historically Accurate
    • Commodities, Projects, Narratives, and Needs of the Consumer
    • Social Macroeconomics, Narrative Trends, and the Modern Populism – a Critical Perspective
    • Material Agendas as Raison D’être in Material Projects Management
    • On Not Reinventing the Wheel

Canon and Form – Concerning the Mathematics Proper, and a Commentary of Functional Shapes

As a student of an online college program in mathematics – now studying in the first week of courses, so my perspective of the course programs may be, in some ways, naive – I may feel in many ways glad to begin to study about mathematics, formally, but I don’t usually begin to write about topics that I’m in any ways glad about, of late.

In short, I would not wish to resemble the glib Web, and neither to adopt any excess of naivete in developing my own small perspective of the world. Though it may be uncommon, thus, to write with a sense of seriousness,  in writing for any manner of publishing online – and it not to be in presenting a political argument, though serious of tone – and though I may as well imagine that my own writing will never be accepted into any manner of a popular “Online Winners Circle,” thus, but it is of a style that I feel I should keep, in writing for publishing online.

Thus, although I might wish I could write anything  of a style as may appeal to any of the latest of the Bold Experts of the Trendy Trends – though I may hope as if I could ever produce anything, in writing, that might ever singularly capture the attentions of any of the Political Expedients, the Narrative Keepers, or the Cheerleaders in so many Online Instant Celebrity Forums – and though I may wish, even moreso, as if there was any single market for a Grain of Salt in Pop Literature, but – realistically – I may only be able to keep my own style of writing, in writing. This style, as such, does not leave any opportunity for indulgence, it does not permit for any grand “Blue sky” thinking, and it does not leave any place for exploit by the inevitable “Drive-by sharp shooter” in Internet Commentary.

If it is any kind of an evolved style, the reader may wish to speculate about how this style has evolved? Forever and ever, the reader may wish to speculate.

Point of Contention

Candidly, my main point of concern in beginning this article, this evening, is to address a matter of consideration with regards to some qualities of mathematics. However any qualities of mathematics may be represented in any single context – as whether in any expository regards, in any anecdotal regards, or in any context of programmed instruction program – but, as a student, I wish I could be more attentive about the qualities of mathematics, itself, as a discipline. Candidly, I do not wish to be too concerned about any qualities of the “Discussion Method,” except when that is the foremost topic that I find occurring to my own small attentions, in a course.

When a course is tedious, and when the content  of a course may seem a bit difficult to consider for any sense of relevance – though it may be to an unhappy situation, momentarily, yet it may not be altogether to a catastrophic phenomenon. If it may occur to any opportunity for a further consideration about the course – as in regards to the course’s content, as principally independent of any qualities of the presentation of the content – thus, it may not be so much as an academic catastrophe, let alone any kind of a personal emotional catastrophe. So, applying a simple manner of analytical sense about a course’s content, there may be a certain sense of resilience available to a student, even when the course itself is difficult to consider for its relevance.

Introducing the Mathematics Proper

Beyond any manner of the novelty of any individual mathematical forms, there is a by-in-large consistent body of literature establishing, in effect, the Mathematical Canon. Much as like with the – no doubt – fallible material sciences, the mathematical body of literature as such, it exists as that each work may expand on, refine, and/or refute the theses presented in any previous works. It is not, inasmuch, an anecdotal body of literature, though it may seem in ways philosophical – rather, that it is principally a technical literature, the literature of mathematics.

If it does not find a lot of coverage in any contemporary mathematics programs, perhaps that may be for that it may simply not appeal to any manner of a social ethic? The literary canon in which Mathematical Theory itself is developed, it may not offer a lot of a sense of novelty for presentation. Perhaps it may seem, in any ways, pedagogical to so much as discuss such a main body of work – as that it is not merely an object of whim, not any manner of a romantic folklore, and perhaps that it may not be in all ways exclusively represented in any single artistic expression. Perhaps the dry nature of the topic may be in any ways mitigated, however, with any singular commentary about the Great Celebrities of Mathematics and the environments in which they developed their works.

It being, as stated, not an anecdotal body of work, it may not seem apropos to present any manner of a singularly anecdotal reference to the body of work. Thus, this article itself is absent of any exact manner of bibliographical citation to the same. Perhaps it could seem as if that was only as to avoid any manner of an opinionated “Sharp Shooting,” online, as to whom is to be allowed to define the Canon of Mathematics, in any single Model of Narrative.

It is broadly as to avoid any speculations as may attend any anecdotal reference – the motive, in this instance, in avoiding any anecdotal reference to any singular work in the domain. As such, it might seem to subsume – in effect – the result: As that it may not permit for any manner of opinionated “Sharp shooting,” with regards to Mathematical Canon – as viz a viz when there is no singular object presented for the Opinionated Marksmen of the Internet, not in any anecdotal regards of Mathematics.

Thus, though this article may seem at risk of any excess of seriousness – such that, transitively, may not permit for this article to appeal to any excess of popularity – such that the author of this article has endeavored to address, previously in this article, as that such lack of populist appeal is not a lot of important, in this author’s own opinions – it is not without a sense of meaning to its lack of fun.

To Properly Regard a Question of Shapes of Functional Graphs

In regards to a Cartesian projection onto a Euclidean “Two Space”, a question of “How does a graph look?” it might seem in some ways naive, as a question.

For instance: Given a function of a single independent variable and a single dependent variable, both  represented in the Cartesian projection, then – from a manner of a sort of an analytical viewpoint –  perhaps it may in some ways benefit a student to have learned of a how a graph of the absolute value of the independent variable appears, visually – and it not be abandoned at any matter of the visual characteristics of the representation. If it may seem, in  any ways, an echo of any content that one may have studied in any manner of a public secondary school, perhaps it could seem fairly trivial – beyond any commentary, so.

If it may not seem so trivial, and yet not seeming very technically difficult, perhaps one might seem to run a risk of “Overthinking” about the matter, to even observe such  a concept in its occurrence: The shape of a mundane function of the absolute value of ‘x’ plotted as ‘f(x)’ – the geometric domain and range of such a function being fairly trivial to calculate, analytically – how could it be worth a whole article, in Internet Writing?

Perhaps, some articles may be written not so much as to produce any desired effect to the reader, as much as to develop a matter of consideration – as that it may not be merely a mundane graph, not only a graphical artifact, and not exclusively a mathematical novelty, simply: A mathematical function represented on a Cartesian plane – whether a function of the absolute value of ‘x’, or otherwise.

Thus, to an analytical perspective, there are the qualities of the domain and the range of the function – beyond any plain, rote tedium such as for calculating the “Y intercepts” of the function, and calculating the geometric “Slope” of any single linear form, in the function – whether or not as to develop any manner of a calculation, moreover, of the numeric minimum of the function, along any single axis in the Cartesian plane. Such topics, one might wish to believe, could all fit into a single week in a college course.

Not to criticize the teaching method, one has one’s opinions.

Principles of Web Authoring – An Outline

Principles of Web Authoring – An Outline

Ed. Note: The author’s goal – in developing the following outline – is to arrive, ideally, at a comfortable definition of “Web Authoring”, with the comfortable definition being defined with – ideally – some qualities of philosophical abstraction, of perceived accuracy in an estimate of the author’s own previous experiences in online media, and of a manner of academic objectivity as with regards to any manners of broader social, commercial, political, and/or practical theories.

  • Concept: Arbitrary Readers
    • Audience may be Implicitly “Unknown”
      • Personal Identities
      • Social Agendas
      • Perceived roles of “Audience Member” as”Stakeholder,” “Participant,” and/or “Audience”
    • “Other Authors” may or may not be “Known,” to any extent of perceived social and/or personal identity
    • A naive premise of a goal in web authoring: “Appeal to existing knowledge”
      • Contrast: Knowledge, ideas,meanings, and perceptions
        • Of readers
        • Of authors
      • Contrast:
        • Scientific knowledge
        • Anecdotal ideas
        • Perception, Whims, and Wishing
        • “Creative license”
    • Game Theory as an Abstraction of Social Interactions, On- and Offline
  • Concept: Arbitrary Interactions
    • Concept: Web as “Dialogue Space”
    • Concept: Web as “Social Space”
      • Concept: Social aspects of Online Interactions as effectively subsumed by aspects of the Social Spaces of Individual Actors in Online Dialogues
  • Definition: Content
    • Content as expression of style
    • Content as expression of information
    • Content and media – archival/bibliographical classifications of media resources
  • Concept: Content in Context
    • Definition: Mathematics as Abstraction – Whitehead
    • Technical content – e.g technical software documentation
    • Commercial content – broadly, “Marketing”
    • Academic content – e.g scholarly articles
    • Creative content – broadly, “Arts”
    • Concept: Logical abstraction of “Presented Content”
  • Concept: Agenda as a Service
    • Ideological Assumptions and Expressions in Online Content
      • Social and Personal Perceptions
      • Knowledge and Information
      • Ideological Aims
      • Prosperity and Practice
    • “Thought Leadering” [Concept]
      • Synonym: “Preaching”
      • Ideological Preconceptions of Authors and of Readers
      • Moral Assumptions and Moral Goals in Content Creation and Publishing – towards an arbitrary definition and/or perception of sense of social and/or individual morality
      • Ye Olde Propagandisch
      • Perceptions and Definitions of Social Class
        • Social Class as Material State
        • Social Class as Creative Expression
        • Social Class as Non-Thing
      • Nation States, Social Tribes, Cultures, and Folklore – towards an arbitrary characterization of Thematic Agendas in Social Structures
  • Concept: Commodification of Online Content Information
    • Data Mining as Institutional Practice
      • Lexical Analysis – Structures of Langauges
      • Ontology – Structural Definitions of Concepts, Categories of Concepts, and Conceptual Relations of Concepts
      • Institutions as Actors – Commercial and Noncommercial Institutions – Methods and Goals
    • Commodity-Oriented Analytical Models in Online Data Analysis – Definitions and Semantics
      • Commercial Advertising
      • Social/Political Analysis
      • Information Search and Retrieval
  • Concept: Web as a Publishing Service
    • Contrast: Web as a Marketing Service
    • Contrast: Web as a Dialogue Service
    • Contrast: Web as a Commercial Service
    • Contrast: Online Gaming

Business – a Thesis Outline

Thesis in Outline – for “the ultimate” in literal brevity

  • Business as Commercial Enterprise
    • Contrast: Academic Enterprise (including Arts)
    • Contrast: Government Enterprise
    • Context: Bureaucratic Categories
  • Academia at Intersection with Computing and Information Security
    • ARPANET – Participants Included
      • Ivy League Academia (Principal Participants)
      • BBN (Principal Participants)
      • MITRE (Principal Participants)
      • Computer manufacturers, circa [Event] The arrival of the “Traitorous Eight” to Silicon Valley
    • CHAOSNET (MIT) – Contrasted to emerging TCP/IP stack and corresponding standardization by commercial computer manufacturers.
      • Orthogonal Discussion: Distinguishable definitions of Schools of Philosophy in computer systems design – cf. Microprogramming, models of a Microprocessor as a Stack Machine, and broader mathematics (Linear Temporal Logic, Computational Tree Logic, other modal models of logic in theory and applications)
    • Emergence of standards agencies as corresponding to works of material stakeholders in Information Security practices – IETF, NIST, ITU-T
    • BBN subsequently acquired by Ratheon
    • MITRE a not-for-profit enterprise
  • Business as Market Phenomenon
    • Market Effects as ends, means, or incidental trends of partially observable economic systems
    • When Political Image Management and Commercial Image Management collude – Material Statism, juxtaposed to philosophies of Political Governance
    • P.T. Barnum’s Economic Studies – not as a misquote, neither as a matter of a competition about the presentation of a Cardiff Giant
    • Tribalism, Folklore, and Economic Theory – “When Social meets Business,” in a context of Perceived Prosperity
    • Sustainable Development – not a gilded goal, a principled premise for development of sustainable economic capacity, material commerce, and economic wellness
    • Alter-Concept: Statism of compulsively exploitative capital institutions – analogy to Thoreau’s Gold-Digger on a Horse
  • Capital Resources and Social Morality
  • Conclusion: Developing “DIY Success” in and/or Beyond an Exploitative State

The Novelty: Canonic Mathematics and Mobile Computing Platforms – an Observation

In looking at one of the many mathematically focused games on the Android platform  – King of Math, namely – I was running through a couple of the pop-quiz questions that the game presents under a label of Statistics, but in such that at least some of the quiz questions are rather focused about concepts of mathematical ratios as expressed in decimal percentage expressions. As previously a student of “High School Math,” circa the 1990’s at one public school, I had hoped that the quiz game might present any manner of quiz questions as with regards to statistical permutations, combinatorics, and mathematical probability calculations – perhaps anything like as such that myself and my fellow students had studied, during the “High School Math” course that we had attended, circa the 1990s in public school systems.  The course, at least, had addressed such concepts – explaining such concepts as for any manner of a mathematical mechanics of calculations onto concepts of mathematical permutations, combinatorics, and mathematical probability, such that we the students were to learn how to “Do,” ourselves. Of course, the course was conducted in a standard format – the teacher illustrating how to do the math, and we as the students likewise watching the lecture and participating in the teacher’s question sessions, then subsequently doing each our own homework and completing the canonic quizzes of the course.

Of course, to those of us who may not have thought that the mathematical content of the course was too deeply involving, our conversations during the subsequent class activity sessions may’ve included conversations – albeit, naively in regards – questions such as: What would it be like to hold a volume of matter as dense as the sun or of a density approaching the theoretical density of a black hole, but to hold such a mass as on a surface of an object as small as a teaspoon? We also did the homework and the quizzes, and continued – each of us individually, after high school – continuing on to nothing whatsoever like any careers in theoretical physics.

So, I am at least topically familiar with some topics of statistical mathematics. As my being – informally – a student of some of the perhaps more philosophical schools of thought, in contemporary academia, I am also personally familiar with some concepts of Definitions of concepts – broadly, epistemology, however represented in systems of knowledge representation, ontologies, taxonomies, description logics, first order logics, predicate logics, propositional logics, and any number of programming langauges’ own structurally unique syntaxes. In a manner of a short synopsis about such epistemic systems: That a definition of Concept is a concept, itself – but, of course, there must be any manner of a resource that would define a Concept, as in order for a Concept to be defined, if not known as a concept in any manner of a context.

Thus, though it may not seem to be deeply addressed of the contemporary academia, a concept: Canonical Knowledge occurs – as in regards to any manner of episetmic systems comprised principally of definitions of concepts.

So, in that regards, I began to wonder: Where is one to define a canonic sense of mathematical concepts, to an extent inasmuch as that one may understand such concepts oneself and may be able to refer bibliographically to any manner of a canonical reference about such concepts? Where is one to “Glue together” so many mathematical concepts as may be presented in so many, many mathematical textbooks, and it include a bibliography too? Would it be suitable to a format of a Wiki? Could it instead be addressed onto the Darwin Information Typing Architecture (DITA) and thus published centrally of any “known” authors? and but, how much of a veritable firestorm may it create of Academia, to presume to develop any manner of a canonic reference about mathematics and it not hearken from any single, canonical school of mathematics? Might one at least begin at an unpresumptuous beginning: To define a concept of how a Concept may be denoted as canonical to any single resource? and it not be to “Yet another ontology,” alone?

For instance, my own perspective about simple mathematical procedures of addition, subtraction, multiplication, and division is canonical to the Elementary School course where we were literally drilled about small applications of such mathematical concepts, weekly – as was in completing such topically simple mathematical expressions at magnitudes of integers lesser than or equal to 12, in repeated successions of intervals of time-limited durations, similarly in completing the assignments presented to us in an individual manner in the course, of each timed math quiz session. Thus, personally, I don’t find a lot of joy about such simple mathematical procedures, per se.
Of course, that I don’t personally regard a numeric ratio as it being principally a topic of statistics – returning to the matter of a cute math game, this week – candidly, I was then much annoyed in my own “User Experience” of an  otherwise novel and very well illustrated math quiz game, King of Math. 

Having ventured, more recently, to search for any more of kinds of mathematics games on the Android platform, I’ve found a few more of mathematical games for Android, but – candidly – I am not all sure if it may appeal to the common readership, even in any context of science, engineering, finance, or other contemporarily canonical technical field. let alone to actually find it to be an entertaining exercise to do the math, in all of a capitally competitive and whatsoever capitally endowed world.

 

So, but there are some fun maths games on Android – the novelty?

On Small Profit Indicators and Long-Term Analysis – Profiting with Ethereum at Kraken

FOREX may have a holiday on the weekends, but in reflecting about a previous week’s trends, analysis may certainly not have any such holiday.

Not as though to indulge the whimsy of any passing Unicorns or of the Bitcoin community’s latently centralized empires of the early adopter’s mining megaliths, for all of the slow-moving trends and overall limited volumes being bought and sold in the Bitcoin and altcoin exchanges of the Modern Web, daily, a short practice in day trading with Bitcoin may serve to make for an interesting manner of profit indicator. To such an effect, the thesis of profiting in Bitcoin day trading – though to a very small net profit – may be reinforced with a literal proof of profit, as to which one presents another thesis: On following a “Down Trend” in the Kraken ETHXBT exchange, to a net profit in ETH Volume. 

It is no secretive kind of a system denoted in that article. Rather, it is a simple algebraic inversion of a strategy of “Buy Low, Sell High,” factored onto the trend of an exchange momentarily favoring the Base Currency of a currency pair – in which, the currency pair is ETHXBT i.e Ethereum and Bitcoin, and the Base Currency therefore, Ethereum. Though the “Down trend” in the market does not immediately favor a volume of Ethereum juxtaposed to a volume of Bitcoin, but in following the trend with a series of subsequent tades, it may serve to net a profit overall in accumulation of a greater volume of Ethereum altcoin – even so far a that it ultimately serves as a profit in a single reserve currency.

The ETHXBT exchange being one of the more liquid exchanges at Kraken, but of course – in the peculiar characteristics of the Bitcoin and altcoin exchanges – it may not be terribly easy to illustrate any quick and hugely profitable manner of a profit indicator with those exchanges, sufficient to indulge the no-doubt many of us looking for quick and hugely profitable investments, hypothetically.

That a profit of approximately $2 is a profit nonetheless, a simple system to such an effect is illustrated in the article – as linked-to in the previous. It is, ostensibly, a successful system, thus – as it gains a net profit to a manner of not any ethical or material loss – of course it might seem like a greater profit if more volume was invested immediately, but – then again – if more of a volume had been invested, immediately, then in the particular dyamics of that singular exchange, the trade pattern may not ever have advanced at all, not even to a net of $2 profit.

Contrasted to any manner of a broker’s leverage as may be available for trades posted in a FOREX exchange, any trades made in the Bitcoin and altcoin exchanges may be made without a calculable leverage, such that – ostensibly – if a leverage option was available, it might otherwise serve to “Level the playing field” as for entry by low-volume investors in a market then materially shared with high-volume investors and not at any loss to either scale of investment, then. At some point in time, however, Kraken had stopped offering any option for leverage as an option on bids — and thus, we are all left with a 1:1 leverage ratio. We must therefore all contend at a 1:1 scale  with all of the market-clogging large volumes levied at singular price-points on the Bitcoin and altcoin markets.

Regardless, it may be theoretically possible to turn a profit in trading in the Bitcoin and altcoin markets anyway. It may be theoretically possible, but a profit indicator as such might not be able to advance at any more than a one tenth of glacial pace.One may credit, mostly, the — as previously denoted — the market-clogging large volumes levied at singular price-points on the market.

As may be logically and algebraically illustrated of a history of  market exchanges at Kraken, when the market rate is advancing along  as would be under any singular market trend – such as towards an immediate favor of volumes in Bitcoin, in the ETHXBT market’s latest trend – the trend ceases to progress forward by any appreciable magnitude, when the market exchanges must first buy or sell off a large volume of Bitcoin, e.g. at a scale of 1000 or more Bitcoin invested alongside volumes of e.g 0.5 Bitcoin at any single price point.

That even as a slow-going trend it is certainly to a learning experience, the profit of $2 might not seem completely matched by one’s greater understanding about the singular market, then. In short, the absence of any system of leverage for bids, such that  – if it was available and implemented well – could serve to “Level the playing field”  for all investors, the absence of any such leveraging system … it is just as it is?

Of course, then, although the FOREX exchanges are always closed for the weekend, but so far as the week’s previous market data in FOREX, itself, may be available via any single trading platform – e.g the boldly if not intoxicatingly overwhelming MetaTrader platform (MT4) (MT5) …. and its nonetheless intriguing, if not in all ways immediately simplistic MQL (MQL4) (MQL5) programming language – both of which may available with most brokers on FOREX … thus, the analysis need not take a holiday.

The simple, algebraic logic of a system might ever seem obscured for its description, perhaps? If so, but perhaps a further proof may serve to illustrate how an algebraic inversion of “Buy Low, Sell High” and a $2 profit has become – in all ways already – quite a profound learning experience, after all.

Zombies, Sparks, and Computer Failure Diagnosis – a North-of-Hollywood Tale

For all of the manual pages, handbooks, HOWTOs, RFCs, tutorials, and op-ed manuscripts that I’ve read, about UNIX operating systems and “Known good” applications of UNIX operating systems – as across a short and canonically informal study of such technical concepts – I don’t recall having ever seen a single article about system diagnostics. The topic occurred to my own simple consideration, one evening in a chat channel, when one of the correspondents in the chat channel was commenting about a difficulty he was encountering in an application of a FreeBSD operating system, a difficulty about which he was seeking some of the good-old free and open source technical support.

Considering the comprehensive nature of the FreeBSD Handbook – such that, in any depth of study, the Handbook may be accompanied with a study of the manual pages of shell command line applications denoted in the Handbook – moreover, considering albeit in a broad way the abstract library of books written about FreeBSD, and the further depths of detailed knowledge provided of such veritable tomes of non-arbitrary writing, I don’ t believe there is any sort of a vacuum in documentation about FreeBSD. Perhaps not a lot of the documentation would appeal to any great sense of immediate convenience, however.

If it may perhaps seem like a niche concern, socially, to develop any manner of formal documentation about diagnosing an application of a FreeBSD operating system, of course there may be any times when – by whatever convergence of cosmic rays, etc. – times when an application of a FreeBSD operating system – broadly, when any computer operating system may not be performing in all ways as may be hoped or assumed, and the divergence between the “Observed results” and the “Ideal results” of a magnitude that may serve to require some consideration.

More simply so, there may be times when any single application is “Not Working Out,” such that the state of it “Not Working Out” would be realized with any number of additional events, such as:

  • Error messages that may have been printed to a console stream – whether printed to the standard output stream or standard error stream, as both being typically available in UNIX applications
  • Log data that may have been printed to any one of the System Log files
  • Sparks that may have been flying out of any unexpected locations in the computer enclosure
  • Zombies that may have been crawling out from under the floorboards
  • Movie directors that may have been writing the Next Big Blockbuster, about it all

Whether or not it may seem immediately clear, as for how any such  events may be occurring in a known cosmos, and in such that the issue could then be further diagnosed to its causes, but at least the error messages and the log data may be reproducible, in many instances. Sometimes, of course, there may be the even more exceptional instances – such as, in which the zombies might be crawling in from the rafters, the Movie directors instead becoming situated under the floorboards, and neither a console error message or a log message being emitted about whatever the computer is doing, at the time.

So, on a good day – or, at least, a moderately good day, but in such as would be interrupted by any number of unexpected failures in a software system, among all of a life’s events – in so much us a lukewarmly good day, so, it might seem as if all the rigorous diagnosis work was some kind of a mundane task? When the Zombies and the Directors arrive, so to speak, “All bets are off.”

Until such time – and in so far as that a computer implements a manner of a finite state machine such that may be logically observed for all of its systematic behaviors – then when any of those same behaviors would comprise, logically, systematic failures, likewise the finite system of it can be diagnosed logically as to why the systematic failures of it would be occurring – all the more easily so, when any error messages and any log data produced of the failure or failures would be available for the diagnosis.

Sure, in the long and the short of it, it might not make a topic for any exactly patented kind of an approach to Solutions Building. If it may not make a topic for any great sort of a voluminous reference manuscript, furthermore, but the work of diagnosing an unexpectedly failing computer system – in all of the innate, perhaps necessary simplicity of it – a diagnosis may be developed, itself, as a diagnosis about such a manner of a state of a computer system. That is to say, when a computer system is in any manner of a very broad “Does Not Work” state  there may be some very simple procedures, such as denoted in the previous.

Leaving out the Zombies, the sparks, and the Movie directors momentarily:

  • Console Messages
  • Log Data

Those very simple things can be of an immeasurable value when diagnosing a computer software failure.

A Short Thesis About Trend Analysis

Having taken up a manner of a hands-on study of trading practices, in studying about the Kraken Bitcoin/altcoin exchange, and lately diversifying my own attentions also onto a domain of FOREX exchanges, it’s proving to be a nice diversion aside to the limited canon of the scholastic fare of my own immediate studies. As I am certain that there may be any number of numeric methods that may serve to be of any notable relevance for numeric and semantic analysis of exchange trends, and the immediate trends of a Kraken or FOREX currency pair exchange may not seem in any ways immediately easy for anyone to politicize in any regards – moreover, that any number of trade offers may be posted to any such exchange, ideally to a real, ethically cogent, and capital profit in the transaction – I believe that it may represent something close to an ideal setting for succeeding in capital transactions, but – of course – beside the convenience of so many web services, yet it may not seem in all ways an instantly accessible thing to succeed at day trading, whether with Kraken or with any single broker at FOREX.

Not as though to mix up the academia of applications of numeric methods in practcices of electrical engineering and of statistical methods in practices of currency trading, theoretically the dynamic and socially responsive nature of currency exchange rates – though not in so far like a physical electrical signal – an exchange rate under any single currency pair – in any single broker or exchange – the singular rate represents, to a perspective, a quantity that changes over a duration of time.

Of course, the manner in which a currency rate changes over time – as whether to any manner of a remarkable “Up Trend” or “Down Trend” of any single currency when traded immediately to any single other currency – the hypothetical trend may seem to differ, to an extent, depending on the scale of durations of time at which the respective market rate is calculated..

Adopting a thesis of that a linear trend line as r = mt + b is reified of an exchange rate when any three or more coordinates of time and rate as (t, r) are “On” the same trend line, and that the slope of the linear trend line – i.e the value of m in the formula – that the slope of a trend line, as such, may be interpreted as representing a trend across the duration and scale of the graph of r = mt + b … but the concept of scale, as such, may not seem to occur naturally of the continuous geometric model.

In a sense, such manner of scale would be semantically analogous to a sampling rate in a telemetry analysis about a physical electrical system. Assuming that the numeric magnitude of an exchange rate is changing continuously across exchange transactions, in a duration¹ of an exchange’s forward progress, in that regards: The magnitude of an exchange rate might then be represented as it being analogous to the magnitude of voltage, current, inductance, or other physically measurable or mathematically calculable quantity of a closed loop electrical system.

That any manner of a measure of a quantity of a time-varying manitude – that a measured or calculated magnitude, thus in an abstract sense, may represent a numeric datum to a numeric analysis, but – of course – there may be some principally material differences as to the nature of each measurement system of which the respective datum is produced.

Thus, in a model of numeric analysis of trends of rates, in any principally algebraic and/or geometric model, the model and the analysis itself may not be completely removed of the measurement system by which the data is calculated to the model. Assuming that an exchange rate would be calculated in all of a materially accurate regards, and with no lengthy criticism as across the analogy about electrical systems, this short thesis article will presently return to a topic of sampling rates.

It may be, in short, to a simple synopsis about the meaning of different scales in graphs about exchange rates, viz a viz OANDA fxTrade for Android

OANDA fxTrade for Android – 1 Day Graph of AUDUSD
OANDA fxTrade for Android – 1 Hour Graph of AUDUSD
OANDA fxTrade for Android – 1 Minute Graph of AUDUSD

The respective graphs differ on a basis as of the sampling rate for the graphing of the exchange rate data, in each respective graph. All three of the graphs are from the same approximate instant of time – i.e at approximately 6:50 in the morning, in local wall clock time. All three of the graphs are consistent at scale – each graph being developed onto a progressively differing duration of magnitude of sample rate, for modeling of changes in the magnitude of the same market rate onto the single currency pair, in the example – however, the three graphs may seem to differ visually, in any immediate view.

Thus, without delving too deeply into a mathematical analysis of the respective graphs, perhaps this simple example may serve to illustrate an intuitive thesis as in regards to the relevance of magnitude of sample rate in graphs for trend analysis.

 

Notes:

  1. thus, towards a discussion of the by-in-large slow-moving dynamics of exchange rates at Kraken, so far as that any one the exchanges may not be seeing a lot of volume being transferred in any short time. Candidly, such slow-moving exchanges may not allow for any lot of a quick turnover to a capital profit in the exchange, but – in consideration – perhaps it may serve as something of an introduction to a simple mechanics of trading in a capital exchange.