Computer Thinking.

About.

This article is a modest attempt for answering following two questions:
1. Do computers think?
2. How decisions are made in a Computer Program?

... there's a lot more of related knowledge, answers provided here are just a short introduction to the topic.


Beings & Phenomena.

Buddhist definition is as follows:

def. Beings have Mind, Phenomena don't have Mind. That's how these differ.


Computation & Calculation.

Computers do not think, only calculate & compute.

Calculation is a Mathematical / not only algebra / operation that takes input value(s) and produces result(s),

For example:
- 2 + 2 = 4,
- not true = false,
- cos 60^o = 0,5.

Computation is calculation with side effects, as for example:
- Printing an image on a Printer,
- Sending a message via the Internet,
- Saving a file on a USB Pendrive.


Conditional instruction 'if' semantics.

Let's see how 'conditional instruction if ' works internally.

Let's see how processor instruction with assembler mnemonic jne may work.
/ 'jne' is mnemonic for 'jump if not equal' /.

We should also be aware that processors have 'registers', a low-capacity, low amount, high access speed memory cells.

Code:

101. cmp val1 val2;
102. jne :my_section;
103. jmp :my_section_equal;
104. ...
105. ...

(...)

:my_section: 205. ...

(...)

:my_section_equal: 320. ...

(...)


Above code is easy to explain:

1. At line 101, jne compares val1 with val2.

If are equal, 'eq register' / or 'zero flag register' / stores 1 for 'true', otherwise it stores 0 for 'false'.

2. At line 102, if val1 not equal val2, then jne jumps to memory address to which :my_section label points: line 205.

Otherwise, code at line 103 is executed in a next processor step.


How it works?

This 'magic' of conditional instruction is explained with few simple tricks:

1. Compare eq.

eq = (val1 - val2 == 0);

This is logical expression with a boolean value, which in low level evaluates to 1 for 'true', or 0 for 'false'.

This 0 or 1 value is stored in 'eq register'.

2. Jump if not equal.

We consider here: 'instruction pointer register', or in short: 'ip register'.

If 'eq register' has stored 0 - that is, when compare's result is false, then 'ip register' is filled with number, with memory address to which :my_section label points: to line 205.

Otherwise, 'ip register' is increased by 1, to line 103.

3. Next instruction.

Processor continues with next instruction, as pointed by instruction pointer register ... either executing instruction at line 205 or executing instruction at line 103.

3a. Line 205.

Processor continues with instruction at this memory address.

3b. Line 103.

... a 'jmp' instruction is executed, storing in 'ip register' a value of 320.

/ 'jmp' is a mnemonic for unconditional 'jump' instruction /.

4. Summary.

Depending on compare operation's value, we end up jumping to line 103 and then to line pointed by :my_section_equal label, or to line pointed by :my_section label.

That's it, this is conditional branch. We end up executing different code depending on whether val1 is equal with val2 or not.


See also, if You wish: Conditional Instruction & Expressions.


P.S. Please note that memory address and assembly language line are different things.. but are related, and work in a similar way.

Events & Notifications.

Events, Notifications & Responses.

Events occur when something in Reality happens.

For example:
- When a key is pressed on a keyboard,
- When a certain pattern(s) in electromagnetic radiation are detected by sensor(s),
- When a printer machine malfunctions,

... these all are Events occuring in Reality, events of a certain type, with a given state: additional information & details.


Software parts can handle event occurances, can 'notify' other code parts about events happening ... making hardware-software infrastructure respond to such event occurances somehow.


Also, when objects in memory are created, when objects in memory are destroyed or when objects change state: this also can be a cause of event notification happening, of code parts executing a response.


Registration.

In Object Oriented Programming Languages, often there are objects that observe 'sensors', and notify objects that are registered for notifications.

How to register for event notifications?

... often there's method in a sensor-observing object that handles registrations, other objects call it and give a 'reference' to themselves. Such references are stored in a List or in other data structure, then when event occurs ... a method is called.

/ References are similar to pointers, handles, etc ... and are used in Java Programming Language, for example /.

... for a Code Example: click.


Publish–Subscribe Pattern & Message Broker / Event Bus.

In software architecture, publish–subscribe is a messaging pattern where senders of messages, called publishers, do not program the messages to be sent directly to specific receivers, called subscribers, but instead categorize published messages into classes without knowledge of which subscribers, if any, there may be.

Such Messages have type, and place in type-hierarchy, in inheritance-tree.

Publishers publish messages of a given type(s), Subscribers subscribe for messages of a given type(s), and message broker / event bus handles messages of all types that fit in its type-hierarchy.

/ there's root message type, every other message is either of that type, or inherits from it, either directly or indirectly /.

Similarly, subscribers express interest in one or more classes and only receive messages that are of interest, without knowledge of which publishers, if any, there are.

This is a nice example of loose class coupling, of reducing dependencies in code.

Code parts - publishers & subscribers - do not have to 'know' about other, these are concerned only with messages they send and/or receive.

This pattern can provide Advantages of Loose Coupling & Scalability.

Internet.

Introduction.

Internet is network of networks. Computers, as well as other Internet Devices are running programs ... can connect and communicate. It's like graph / nodes and connections - or dots and lines that connect them /.


i think one can speak abstractly about networks, as well.

... what is a 'human internet'?


Structure.



-=- Edges & Core. -=-


Network Edge consists of devices that we are most familiar with / computers, PDAs, cellphones, tablets and other MIDs [Mobile Internet Devices] / that we use on daily basis. They are connected together into networks that are also interconnected / via Network Core - hierarchy of ISPs [Internet Service Providers] /.

Software running on Internet Devices communicate using protocols. Protocols organize the way software interacts, order and content of messages exchanged.


Protocols are separated into Layers, each Layer providing certain services to the infrastructure.


Five-Layer Internet Protocol Stack.

... it consists of:

1. Application Layer: communication/interaction between applications.

2. Transport Layer: makes sure that right program running on device receives right information / data is sent to a certain port, using a certain protocol /, and provides additional services such as 'guaranteed' delivery of messages, information flow speed control, and other internal technical services such as congestion control and breaking application-layer messages into segments. Depending on transport layer protocol / TCP or UDP / some services may be provided, some might be not.

3. Network Layer / Internet Layer: responsible for moving information packets from source device to destination device [possibly with more than one Internet Device on the path to traverse through]. The internet network layer includes IP Protocol, which defines the how transmitted information is categorized, and how systems react on this information. The Internet's network layer also contains routing protocols that determine routes that information packets [in this layer named datagrams] between sources and destinations.

4. Link Layer / Network Access Layer: software element, responsible for moving packets [named 'frames' in this layer] from one Internet Device [router is also Internet Device] to another in one hop.

5. Physical Layer: while the link layer is software, physical layer consists of hardware infrastructure - network cards, transmission medium of the link [for example: twisted-pair copper wire, fiber optics, communication satellites].




-=- Layers. -=-

Linda & Concurrency.

There are four classic concurrency problems:

1. Critical Section / Mutual Exclusion,
2. Readers & Writers,
3. Producers & Consumers,
4. Five Dining Philosophers.


Linda - Tuple Space - has uses in Concurrency.

To achieve required results, not only code needs to be written ... tuple space also needs to be filled with initial state.

Critical Section / Mutual Exclusion.	Readers & Writers.
Let's assume that two or more processess want to access critical section of code. Critical section is this program fragment, that can be executed by at most one process at once. We assume that each process which enters critical section, will leave it in finite time. process PCS; begin   repeat     personal_affairs();     Input("ticket");     critical_section();     Output("ticket");   until false end; -- initial state: * ("ticket");	The readers-writers problem relates to an object such as a file that is shared between multiple processes. Some of these processes are readers i.e. they only want to read the data from the object and some of the processes are writers i.e. they want to write into the object. The readers-writers problem is used to manage synchronization so that there are no problems with the object data. For example - If two readers access the object at the same time there is no problem. However if two writers or a reader and writer access the object at the same time, there may be problems. To solve this situation, a writer should get exclusive access to an object i.e. when a writer is accessing the object, no reader or writer may access it. However, multiple readers can access the object at the same time. process Reader; var   r: int32; begin   repeat     personal_affairs();     Input (r: int32, 0);     Output (r+1, 0);     do_read();     Input (r: int32, w: int32);     Output (r-1, w);   until false end; process Writer; begin   repeat     personal_affairs();     Input (r: int32, 0);     Output (r, 1);     Input (0, 1);     do_write();     Output (0, 0);     until false end; -- initial state: * ( 0, 0 );
Producers & Consumers.	Five Dining Philosophers.
There are P > 0 processes in system, which produce certain data, and C > 0 processes which receive data from producers. Between producers and consumers there can be buffer B with capacity BCAPACITY, whose task is balancing temporary differences during processes execution time. Processes that produce data we'll call producers, and processes receiving data - consumers. Let's notice that a Tuple in Linda - Tuple Space is not a Buffer/FIFO Queue that do_produce() & do_consume() operate on. a Tuple in Tuple Space is only used to store amount of used 'places' in a Buffer/FIFO Queue. BCAPACITY is a constant, total number of 'places' in a Buffer/FIFO Queue. process Producer; const   // B Capacity: 0 ... 107.   int32 BCAPACITY = 107; begin   repeat     personal_affairs();     Input(n: int32);     if (n < BCAPACITY) {       do_produce();       Output(n+1);     } else {       Output(BCAPACITY);     }   until false; end; process Consumer; begin   repeat     personal_affairs();     Input(n: int32);     if (n > 0) {       do_consume();       Output(n-1);     } else {       Output(0);     }   until false; end; -- initial state: * (0);	Five philosophers dine by round table. Before each there's plate. Between plates lie forks. In middle of the table there's serving dish with fish. Each philosopher thinks. When he gets hungry, he reaches for forks laying at his right and left side, then starts eating. When he's done eating, he puts forks away and again devotes himself to thinking. Following conditions have to be met: * Only one philospoher ate with the same fork at the same time. * Each of the philosophers ate only and always with two (and always those which lay near his plate) forks. * No philosopher would die of starvation. * Also we want that each of the philosophers would act the same way. process Philosopher(i); var   int32 i; begin   repeat     think();     Input("room ticket");     Input("fork", i);     Input("fork", (i+1) mod 5);     eat();     Output("fork", i);     Output("fork", (i+1) mod 5);     Output("room ticket");   until false; end; -- initial state: * ("fork", 0); * ("fork", 1); * ("fork", 2); * ("fork", 3); * ("fork", 4); * ("room ticket"); * ("room ticket"); * ("room ticket"); * ("room ticket");

Transcending Limits of Computer Sciences.

Can computers solve any problem?

... certainly not.


For example:

1. Computers can't store a number of infinite length, because there's not enough of matter & energy in the Universe.

Storing numbers requires memory / either persistent or volatile / ... and memory is produced from silicon.

Storing infinite-length number would require infinite amount of memory.

... as far as it seems now, amount of energy & matter in the Universe is finite.


2. Some calculations are too time-consuming.

... it's related with 'Algorithmic Speed' & 'Big O Notation'.

Sometimes passwords need to be cracked within hours, while 'naive' approach may take tens of centuries to decrypt a message.


3. ...


Transcending Limits.

Regarding memory issues - perhaps discoveries of physics & other sciences will lead to more of memory being available for computers, both home PCs, as well as for Laptops and Supercomputers.

... a workaround for storing infinite-length numbers is writing these in different form.

0,333333 ... = 0,(3) = ¹/₃.


Where algorithmic speed is considered, one may investigate common bottlenecks in a group of problems - as for example: quantum cryptography - find algorithms for solving those bottlenecks with Advanced Mathematics, then invest in creating a hardware support / pl: wsparcie sprzętowe / for these purposes.


What is Hardware Support?

... it is a piece of hardware that supports/enables certain functionalities, as for example:
- a blitter chips built in computers,
- sound chip built in a computer's motherboard,
- graphics cards attached to motherboard,
- ...

... there are more steps of course, software drivers, libraries, etc. need to be written as well.


Decreasing algorithmic costs, increasing algorithmic speed - as in 'Algorithms' Time-Performance Metrics' - allows software to perform calculations very fast - even if there's a lot of data to process.

Numerology.

Sometimes people need Esoterics.

What is Esoterics?

In my case, it's spiritual ways other than Buddhism - both of development and fall - but still, i try more for development than for fall.


At fairly young age, i thought i understand world, i thought i understand reality well enough.

... then, it became something beyond my understanding, beyond my comprehension - both in complexity, as well as in its cruelty.

... i needed hope, without it ... i lack motivation to live, i lack will to even try.


Numerology is mathematics, spirituality & esoterics combined.


How to collect & store data about numerological preferences of people?

How to help / support those who have painful experiences with a certain number(s)?

1. One should understand numerology system of his / her own ... in my case it's in article: 'Power Numbers & Symbolic Meanings',
2. One should consider other numerology systems,
3. One should use software to process numbers, as for example: Factorization Tree,
4. One should consider using Database Management Systems - as for example - as in: Linda as Database Management System,
5. One should consider using web browsers' cookies analysis,
6. One should consider using internet robots for collecting data from internet,
7. One should consider using 'Weak AI',
8. One should consider using 'Stronger AI', a 'Weak AI' that can process reports from many 'Weak AI's'.
9. One should be wise and compassionate ... is ignoring internet privacy laws as RODO for example ... something wise?
10. One should walk away from computer-internet-world, see how world-reality looks 'outside the machine'.


My happy, lucky numbers are: 2, 7 & 14.

2: a pair, male & female,
7: luck, happiness,
14: a pair of 7's, a happy couple, happy together.


... if i live long enough, i have plans: to complete 'Double Ph.D' in Mathematics.


What is 'Double Ph.D' in my case?

1. Masters Degree in Mathematics, in Cryptography ... with it's quality & depth of understanding comparable to Ph.D,
2. Ph.D. Degree in Mathematics for Interdisciplinary Sciences, probably fairly-focused on Nanotechnologies.

... will 'Double Ph.D' combined with my Spirituality, Buddhism & Esoterics mean 'nuomenal numerology'?

Matrix.

Scientific Approach.

'Matrix' word is translated to a polish language as: 'Macierz'.

2D Matrix calculations / computations - two dimensional arrays, sets of equations - can be used to generate 3D graphics.

Calculating / computing such is a part of 'Geometry with Linear Algebra' Lecture, in Warsaw University - Mathematics, Informatics & Mechanics Faculty.

... does Mechanics include Quantum Mechanics ?

... how about Quantum Computing?


3D Array of Objects - '3D Matrix' - can be used to model spread of energy & matter in Reality, in 3D Space.


3D Matrix can be constructed as a Cube, or it's class constructor can use:
- a Set of Nodes,
  - with 3D-Space coordinates a part of these's state,
- a Set of Arrows ... members of this Set are:
  - first node, second node, arrow directed toward first node,
  - first node, second node, arrow directed toward second node,
  - first node, second node, bidirectional arrow.

... if there's no need to connect every node with every other node ... then some arrow-relations in 'Set of Arrows' can be skipped.


3D Matrix is not only 'data structure', it's a 'data structure with convenience methods'.

3D Matrix is a part of 'Ola' Programming Language.
... Semantics, probably Syntax as well.


     

-=- 'Geometry with Linear Algebra', a Lecture. -=-


                 

-=- 'Table of Contents' of 'Geometry with Linear Algebra'. -=-


Buddhist-Esoteric Musings & Entertainment.

... i'll also call 2D Matrix an 'Open Square'.

... how 'Sacred Geometry' is related?
... how 'Fractal Enlightenment' is related?

... what it means that 'Geometry trains Imagination'?
... where it leads?




How a Compass / pl: Cyrkiel / is related with Masonic Societes?


... i am not any 'Enterprise Software Architect' / pl: 'Enterpyzowy Architekt Oprogramowania ;) /.

... i am Architect of my own Death. ;)

... everyone will die someday ... but how to die Artfully? ... how to reincarnate better?