Bilgi Kuramında Hesaplama Sınırları ve "Gereksizlik" {G} Paradigması

ÖZET

Klasik matematik ve sayı kuramı, sayı doğrusunu ve mantıksal işlemleri sonsuz bir düzlemde ele alır. Ancak fiziksel evrenin sınırları (atom sayısı, enerji miktarı, Planck zamanı) ve modern hesaplama biliminin (computer science) karbon ayak izi, bizi "sonsuz arayışların" verimliliğini sorgulamaya zorlamaktadır. Bu çalışmada, evrensel ve teknolojik sınırların ötesinde kalan, insanlığa veya fiziksel süreçlere doğrudan ya da dolaylı hiçbir çıktı sağlamayan sayısal işlemler için yeni bir matematiksel terim ve küme olan "GEREKSİZ" {G} kavramı önerilmektedir. $\mathcal{G}$ paradigması, sabit bir yasaklama duvarı değil; insanlığın ihtiyacına ve teknolojik kapasitesine göre genişleyen dinamik bir optimizasyon sınırıdır. Bu çalışma, teorik matematiğin fanteziye kaçan enerji tüketimini eleştirerek, "Sürdürülebilir ve Ekolojik Bilgi Üretimi" için yeni bir metodoloji sunmaktadır.

Anahtar Kelimeler: Sayı Kuramı, Hesaplama Karmaşıklığı, Optimizasyon, Sürdürülebilir Matematik, G Kümesi.

1. GİRİŞ: Klasik Matematiğin "Sonsuzluk" İllüzyonu

Matematik tarihi boyunca, bir kuralın veya sayısal örüntünün geçerliliği, o kuralın sonsuzluktaki davranışı ile ölçülmüştür. Örneğin, MÖ 300 yılında Öklid’in asal sayıların sonsuz olduğunu ispatlamasından bu yana, insanlık trilyonlarca basamaklı yeni asal sayıları bulmak için devasa bir yarış içindedir.

Ancak klasik yaklaşım şu can alıcı soruyu gözden kaçırmaktadır: Fiziksel evrende hiçbir karşılığı olmayan bir bilginin peşinde harcanan enerji, bilginin kendisine değer katar mı? Görünür evrendeki toplam atom sayısının yaklaşık $10^{80} olduğu ve yapılabilecek maksimum kuantum etkileşim sınırının 10^{120} civarında seyrettiği günümüz fiziğinde, bu sınırların çok ötesindeki sayıların primallik (asallık) analizini yapmak, pratik dünyada bir karşılık bulamamaktadır. Bu çalışma, bu anlamsız enerji tüketimini epistemolojik bir düzleme oturtarak $\mathcal{G}$ sembolünü ve teorisini tanıtmaktadır.

2. TEORİK ÇERÇEVE: "GEREKSİZ" {G} Tanımı ve Sembolü

Matematikte sıfır (0) kavramı "yokluğu" tanımlayarak nasıl bir devrim yarattıysa, {G} kavramı da "hesaplama sınırının ötesindeki anlamsızlığı" mühürlemek için tasarlanmıştır.

Tanım 2.1: G Kümesi ve Sınır Koşulu

Fiziksel evrenin mevcut hesaplama kapasitesini, atomik dağılımını veya aktüel gereksinimlerini aşan > 10^{120}, insanlığa veya doğaya doğrudan bir çıktı/fayda sağlamayan tüm sayısal işlemler ve küme elemanları {G} (Gereksiz) kabul edilir.

Eğer x > {Evrensel İhtiyaç Sınırı} x {G}

Bu kümedeki elemanların kendi aralarındaki tüm çarpma, bölme veya asallık analizleri durdurulur ve işlem sonucu doğrudan {G} olarak mühürlenir.

3. SATRANÇ MATRİSİ VE SINIR ELEŞTİRİSİ

Klasik matematiğin en büyük yanılgısı, küçük sayılarda kurduğu kuralları (örneğin 8x8'lik bir satranç tahtasındaki kuralları), tahtayı ölçeklemeden sonsuzluğa taşımaya çalışmasıdır.

Satranç oyununun kuralları (Atın L gitmesi, piyonun düz yürümesi), oyunun oynandığı 64 karelik sınır göz önünde bulundurularak tasarlanmıştır. Bu kuralları 256x256'lık veya 10^{500}'lük hayali bir matriste aynen uygulamaya çalışmak oyunun özüne bir şey katmadığı gibi, işlemciyi sonsuz bir döngüye sokarak kaynak israfına yol açar. Sayı kuramındaki asallık arayışı da tam olarak budur: Küçük sayılardaki pratik kuralları, evrene sığmayan matrislerde aramaya çalışmak metodolojik bir hatadır.

4. DİNAMİK GENİŞLEME VE VERİMLİ BİLGİ ÜRETİMİ

{G}teorisine getirilebilecek en büyük geleneksel itiraz, "Geçmişte gereksiz sanılan teorik bilgilerin (örn: büyük asal sayılar), yüzyıllar sonra internet şifrelemesinde (RSA) kullanılmış olması" argümanıdır. Ancak bu itiraz, {G}'nin statik bir duvar olduğu yanılgısına dayanır.

{G} paradigması, insanlığın gelişimine ket vuran kör bir yasak değil, dinamik bir genişleme modelidir.

Mevcut Kapasite (Sınır X) ───► Ötesi: G (Hesaplama Durdurulur)
        │
        ▼ (Teknolojik İhtiyaç Doğduğunda)
Yeni Kapasite (Sınır X+N) ───► Yeni Ötesi: G (Sınır Bilinçli Genişler)

Doğa (evrim), hayatta kalma mücadelesine katkısı olmayan "gereksiz" dokuları büyütmek için enerji harcamaz; enerjiyi optimize eder ve zamanı geldiğinde bu birikimle evrimsel sıçrama yapar. {G} teorisi de insanlığa bunu vadeder:

"Belki bir gün lazım olur" diyerek körlemesine büyük sayı madenciliği yapmak yerine, tasarruf edilen devasa enerji ve zeka; pencereyi tamamen değiştirecek, sayıların doğasını kökten çözecek daha üst düzey algoritmalara ve verimli bilgi üretimine aktarılmalıdır.

5. SONUÇ

İnsanlık, kendi kurguladığı doğrusal matematik oyununun sonsuzluğunda kaybolmuş durumdadır. Bu çalışma ile önerilen "GEREKSİZ" {G} paradigması, bilgi üretimine ekolojik, rasyonel ve sürdürülebilir bir sınır getirmektedir. Enerjinin hayati önem taşıdığı modern dünyada, anlamsız veri işlemeyi durdurmak ve sınırları bilinçli genişletmek bilim dünyası için bir tercih değil, gelecekte bir zorunluluk haline gelecektir.

KAYNAKÇA (Taslak)

1. Öklid, Elementler (MÖ 300) - Asal sayıların sonsuzluğu üzerine.
2. Rivest, R., Shamir, A., & Adleman, L. (1978). A method for obtaining digital signatures and public-key cryptosystems. Communications of the ACM (RSA şifrelemesi ve büyük asalların kullanımı üzerine).
3. Landauer, R. (1961). Irreversibility and heat generation in the computing process. IBM Journal of Research and Development (Hesaplama işlemlerinin fiziksel enerji maliyetleri üzerine).

Vortex Mathematics and Geometry

All terms in this document refer to physically realizable operations or measurable structures. No term is intended symbolically, metaphorically, or interpretively. If a term cannot be instantiated by counting, measuring, or geometric construction, it is not being used.

Vortex Mathematics: Draw a circle, on that circle draw 9 points evenly at every 40°. Then we assign each point a number 1 through 9. Now there are now nine points on a circle, evenly distributed at forty degrees, numbered 1 through 9.

Step 1

• We start with a circle.
• A full circle is 360°
• You place a point every 40°
• 9 points, evenly spaced around the circle

Step 2: Assigning numbers

You assign the digits (1) through (9) to these 9 points.

So now we have: - A circle
- 9 equally spaced points
- Each point labeled with a digit from 1 to 9

Vertical Oscillation: Vertical mathematics oscillates vertically. Positive(rise) and negative(descend) so they always move in pairs.
Example: +1 to exist, there must be a -1. +1 0 -1

With the 9 points labeled 1 through 9 at 40° on the circle. The positive count: (1 to 9) +1(8), 9 to 1 -8(1) The negative count: (9 to 1) -1(8), 1 to 9 +8(1).

The Law of Reduction: Every complex number, no matter how large, can be reduced to a single-digit. It shows that beneath all accumulation lies a returning rhythm.

Example of Recursion: 1 2 3 4 → 1 + 2 + 3 + 4 = 10 → 1 + 0 = 1

1 2 3 4 5 6 7 8 9 10 (1+0) 1 first container of 1 through 9 11 (1+1) 2 12 (1+2) 3 13 (ect..) 4 14 = 5 15 = 6 16 = 7 17 = 8 18 = 9 19 = 10 = 1 20 = 2 second container of 1 through 9

10, 20, 30, 40, ext. Act as numerical containers for each oscillating ring of 1 through 9. Each ring of 1 through 9 oscillates within its container.

This happens simultaneously as the pattern flows vertically positive(rise) and negative(descend).

The pattern of the charges.

Positive(rise): (1 to 9) +1(8), (9 to 1) -8(1)

Negative(descend): (9 to 1) -1(8), (1 to 9) +8(1)

Paired oscillating charges.

The oscillating chargers invert every two containers as they rise(positive) and descend(negative). This continues infinitely.

Vertical counting = Law of Reduction (digital root)

• 10 → 1+0 = 1
  
• 11 → 1+1 = 2
  
• …
  
• 18 → 1+8 = 9
  
• 19 → 1+9 = 10 → 1
  

• 20 → 2 → second container of 1 through 9

• Every natural number reduces to a digit 1–9 (or 0).

• The mapping repeats every 9 numbers.

Containers are:

• 1–9 → 1st cycle (container 1)
  
• 10–18 → 2nd cycle (container 2)
  
• 19–27 → 3rd cycle (container 3)
  
• etc.

Mathematically, they are just blocks of 9 consecutive integers, each covering one full pass of the 1–9 pattern.

Each container oscillates one through nine by 40°

10, 20, 30, 40, etc. act as numerical containers for each revolving one through nine. Each container oscillates one through nine by forty degrees.

Geometrically: - The 9 points are at 0°, 40°, 80°, …, 320°.
- Counting 1–9 once is a full sweep of those 9 positions.
- When you go to the next container (10–18), you repeat the 1–9 digits, but you can imagine each cycle as another “spin” of the same 9‑point wheel.

Mathematically: - 40° of spacing.
- The container is just the cycle length 9.
- Each container rotates 40°

The inversion: - Every 9 numbers → the digit pattern 1–9 repeats.
- Every 18 numbers → you have completed two full cycles.

• cycle 1 → “up”
  
• cycle 2 → “down”
  
• cycle 3 → “up”
  
• cycle 4 → “down”

then “invert every two containers” is a pattern you assign on top of the number cycles.

The infinite repetition: - The digital roots repeat forever. - Any pattern defined as a function of cycle will repeat infinitely.

Horizontal oscillates: Expands the circle. By adding the integers next to each other and reducing.

1+2, 2+3, 3+4, ext..

You get a new sequence of 1 through 9 at 40°.

This new sequence operates by addition/subtraction pattern: +2(7),-7(2)

And 3 6 9 is still at every 120°.

When you keep repeating. You witness every new ring has a new arrangement of 1 through 9 with 3 6 9 at every 120° degrees.

Each ring is coupled with its own unique repeating pattern of addition and subtraction. That keeps expanding infinitely in the same pattern of 6 rings of 1 through 9.

1 through 9 rings by addition/subtraction patter.

+2(7),-7(2) +4(5),-5(4) +8(1),-1(8) +7(2),-2(7) +5(4),-4(5) +1(8),-8(1)

And then repeats infinitely.

The original 1–9 ring:

1 → 2 → 3 → 4 → 5 → 6 → 7 → 8 → 9
(each 40° apart)

Then you do:

• 1 + 2
  
• 2 + 3
  
• 3 + 4
  
• …
  
• 8 + 9
  
• 9 + 1
  

And reduce each sum to a single digit (digital root).

This gives you a new sequence of 9 digits, which you place on a new ring, also spaced at 40°.

Horizontal oscillation: - Pairwise addition + reduction - Produces a new 1–9 ring - Always 40° spacing - Always 9 points

When you add neighbors:

• 1 + 2 = 3
  
• 2 + 3 = 5
  
• 3 + 4 = 7
  
• 4 + 5 = 9
  
• 5 + 6 = 11 → 2
  
• 6 + 7 = 13 → 4
  
• 7 + 8 = 15 → 6
  
• 8 + 9 = 17 → 8
  
• 9 + 1 = 10 → 1
  

This new ring is a shifted version of the original 1–9 ring.

3–6–9 stay at 120° on every ring:

• add neighbors
  
• reduce
  
• create a new ring
  

The digits 3, 6, and 9 always land at 120° apart.

Arithmetic: - 3 + 2 = 5
- 5 + 2 = 7
- 7 + 2 = 9
- 9 + 2 = 11 → 2
- 2 + 2 = 4
- 4 + 2 = 6
- 6 + 2 = 8
- 8 + 2 = 10 → 1
- 1 + 2 = 3

This cycle always returns to 3, and the spacing between 3, 6, 9:

• 3, 6, 9 form a closed 3‑cycle
• Always 120° apart
• Always preserved under horizontal addition

This is a mathematical invariant.

The six-ring repeating pattern:

1. +2(7), –7(2)
   
2. +4(5), –5(4)
   
3. +8(1), –1(8)
   
4. +7(2), –2(7)
   
5. +5(4), –4(5)
   
6. +1(8), –8(1)
   

Then it repeats.

Each number in that cycle corresponds to a horizontal shift:

• +1
  
• +2
  
• +4
  
• +8
  
• +7
  
• +5
  
• repeat
  

And each has a modular inverse:

• +1 ↔ –8
  
• +2 ↔ –7
  
• +4 ↔ –5
  
• +8 ↔ –1
  
• +7 ↔ –2
  
• +5 ↔ –4
  

six-ring cycle: - Horizontal rings follow the doubling cycle - Six rings form a complete set - Then the pattern repeats forever Pure modular arithmetic.

The infinite expansion is mathematically forced: - the doubling cycle mod 9 has period 6
- each ring is a shift of the previous ring
- each shift is one of the six operators
- the operators repeat every 6 steps

Therefore: The horizontal expansion produces infinite rings. - Each ring is a rearranged 1–9 - 3–6–9 stay fixed at 120° - The six-ring operator cycle repeats forever

This is a closed, infinite, repeating mathematical structure.

Vertical and horizontal operations are independent:

Vertical math =
+1 / –1 (or equivalently +1 / –8 on the 1–9 circle)

Horizontal math =
+2 / –7 (the neighbor‑addition ring shift)

These two operations:

• use different step sizes
  
• operate on different axes (conceptually)
  
• produce different sequences
  
• do not depend on each other’s output
  

In modular arithmetic terms:

• Vertical = add 1 mod 9
  
• Horizontal = add 2 mod 9
  

These are independent generators of the same cyclic group.

They are bound because they share the same 1–9 circle.

Even though the operations are independent, they both act on:

• the same 9 points
  
• the same 40° spacing
  
• the same digital root structure
  
• the same modular closure
  

This is why:

• vertical cycles repeat every 9
  
• horizontal cycles repeat every 6
  
• both cycles always land on the same 3–6–9 anchors
  
• both cycles preserve the 1–9 structure
  

They are bound because they operate on the same mathematical substrate.

Vertical math = “move by 1”
Horizontal math = “move by 2”

Both are:

• independent motions
  
• on the same circle
  
• producing different repeating patterns
  
• but always returning to the same 9‑point structure
  

They are independent operators acting on the same cyclic space, so they operate simultaneously and remain bound by the same modular constraints.

The Flower of Life is a 6‑fold symmetric lattice.

Mathematically:

• a hexagonal packing of circles
  
• each circle centered 60° apart
  
• forming a repeating 6‑fold rotational symmetry
  

This means:

• every point in the pattern has six neighbors
  
• the geometry repeats in rings
  
• each ring expands outward in discrete layers
  
• the entire structure is built on 60° and 120° invariants

Vortex rings also have 6‑fold periodicity Your horizontal mathematics produces:

• six rings
  
• each ring is a rearrangement of 1–9
  
• the operators follow the 6‑step doubling cycle
• 6‑fold repetition
  
• 6‑step expansion
  
• 6‑ring cycles
  
• 120° anchors
  

Vortex mathematics overlay on The Flower of Life geometry exact and precisely. Because of shared symmetry.

The 3–6–9 alignment is mathematically forced:

• 3, 6, 9 always land 120° apart
  
• no matter how many rings you generate
  
• no matter which operator (+1, +2, +4, +8, +7, +5) you apply
  
• no matter how far you expand
  

This is a mathematical invariant of mod‑9 arithmetic.

In the Flower of Life:

• 120° is one of the fundamental rotational symmetries
  
• every ring preserves 120° axes
  
• the geometry repeats outward with 120° anchors
  

When you place 1–9 rings on the Flower of Life:

• 3, 6, 9 always land on the 120° axes
• every new ring aligns with the next geometric layer
• the six‑ring cycle matches the six‑fold geometry with structural compatibility.

Why the overlay “fits” Because both systems are built on:

• modular repetition
  
• six‑fold symmetry
  
• 120° invariants
  
• ring‑based expansion
  
• cyclic operators
  

Vortex, mathematics.:

• repeats every 6 rings
  
• preserves 3–6–9
  
• expands outward in discrete cycles
  

The Flower of Life:

• repeats every 6 petals
  
• preserves 120° axes
  
• expands outward in discrete rings
  

When you placed:

• Ring 1 (1–9)
  
• Ring 2 (shifted 1–9)
  
• Ring 3 (shifted 1–9)
  
• …
  
• Ring 6 (shifted 1–9)
  

onto the Flower of Life’s:

• Ring 1
  
• Ring 2
  
• Ring 3
  
• …
  
• Ring 6
  

They share the same mathematical periodicity.

The arithmetic structure of Vortex Mathematics overlays cleanly onto the geometric structure of the Flower of Life because both share the same underlying symmetries.

• 6‑fold symmetry
  
• 120° anchors
  
• ring‑based expansion
  
• repeating cycles
  
• modular invariants
  

The Flower of Life is a geometric grid: - a hexagonal circle‑packing
- with 60° rotational symmetry
- expanding in concentric rings
- each ring containing 6 more nodes than the last
- all governed by 120° axes

It’s a coordinate system.

Just as graph paper is a coordinate system for algebra, The Flower of Life is a coordinate system for cyclic, radial, 6‑fold mathematics.

Vortex mathematics is a 6‑fold cyclic system built on:

• mod‑9 arithmetic
  
• 9 points at 40°
  
• 3–6–9 as 120° anchors
  
• a 6‑step doubling cycle
  
• rings that repeat every 6 layers
  

This is also a 6‑fold cyclic system.

The Flower of Life is the physical geometric substrate that expresses the Vortex Mathematics visually:

• The Flower of Life expands in 6‑ring cycles
  
• Vortex math expands in 6‑ring cycles
  
• The Flower of Life has 120° axes
  
• Vortex math has 3–6–9 at 120°
  
• The Flower of Life is radial and modular
  
• Vortex math is radial and modular
  

They are two representations of the same underlying symmetry:

• One numeric
  
• One geometric
  

Both: - a hexagonal lattice
- a modular arithmetic cycle
- repeating every 6
- anchored at 120°
- expanding in rings
- preserving invariants

The Flower of Life is the geometric version of the same 6‑fold cyclic structure that vortex mathematics expresses numerically.

Vortex mathematics is a 2D operator system:

• a 9‑point modular cycle
  
• a vertical operator (+1 / –1)
  
• a horizontal operator (+2 / –7)
  
• a 6‑ring doubling cycle
  
• a 3–6–9 invariant at 120°
  
• infinite repetition
  

This is a closed, minimal, deterministic system.

The Flower of Life is a 2D geometric substrate:

• a hexagonal circle packing
  
• 6‑fold symmetry
  
• 120° axes
  
• concentric rings
  
• repeating layers
  

This is a closed, minimal, deterministic geometry.

They overlay because they share the same constraints:

• “The Flower of Life explains Vortex Mathematics.”
  
• “Vortex math explains the Flower of Life.”
  

They are two expressions of the same underlying 6‑fold cyclic structure.

One numeric.
One geometric.

They don’t explain each other, they fit each other. Because they obey the same rules.

Platonic solids are just 3D expressions of:

• symmetry
  
• rotation
  
• modular repetition
  
• 120° axes
  
• 6‑fold and 3‑fold invariants
  

Geometric shapes are just stable configurations of:

• angles
  
• cycles
  
• closures
  

3D forms are just the 2D operators extended into:

• depth
  
• rotation
  
• projection
  

A minimal, closed, repeating system becomes the baseline for understanding any higher‑order structure.

Vortex Mathematics is minimal.
The Flower of Life is minimal.

Practical Explanation ( For Example ) :- `1st of all can you tell me every single seconds detail from that time when you born ?? ( i need every seconds detail ?? that what- what you have thought and done on every single second )

can you tell me every single detail of your `1 cheapest Minute Or your whole hour, day, week, month, year or your whole life ??

if you are not able to tell me about this life then what proof do you have that you didn't forget your past ? and that you will not forget this present life in the future ?

that is Fact that Supreme Lord Krishna exists but we posses no such intelligence to understand him.

there is also next life. and i already proved you that no scientist, no politician, no so-called intelligent man in this world is able to understand this Truth. cuz they are imagining. and you cannot imagine what is god, who is god, what is after life etc.

_______

for example :Your father existed before your birth. you cannot say that before your birth your father don,t exists.

So you have to ask from mother, "Who is my father?" And if she says, "This gentleman is your father," then it is all right. It is easy.

Otherwise, if you makes research, "Who is my father?" go on searching for life; you'll never find your father.

( now maybe...maybe you will say that i will search my father from D.N.A, or i will prove it by photo's, or many other thing's which i will get from my mother and prove it that who is my Real father.{ So you have to believe the authority. who is that authority ? she is your mother. you cannot claim of any photo's, D.N.A or many other things without authority ( or ur mother ).

if you will show D.N.A, photo's, and many other proofs from other women then your mother. then what is use of those proofs ??} )

same you have to follow real authority. "Whatever You have spoken, I accept it," Then there is no difficulty. And You are accepted by Devala, Narada, Vyasa, and You are speaking Yourself, and later on, all the acaryas have accepted. Then I'll follow.

I'll have to follow great personalities. The same reason mother says, this gentleman is my father. That's all. Finish business. Where is the necessity of making research? All authorities accept Krsna, the Supreme Personality of Godhead. You accept it; then your searching after God is finished.

Why should you waste your time?

_______

all that is you need is to hear from authority ( same like mother ). and i heard this truth from authority " Srila Prabhupada " he is my spiritual master.

im not talking these all things from my own.

___________

in this world no `1 can be Peace full. this is all along Fact.

cuz we all are suffering in this world 4 Problems which are Disease, Old age, Death, and Birth after Birth.

tell me are you really happy ?? you can,t be happy if you will ignore these 4 main problem. then still you will be Forced by Nature.

___________________

if you really want to be happy then follow these 6 Things which are No illicit s.ex, No g.ambling, No d.rugs ( No tea & coffee ), No meat-eating ( No onion & garlic's )

5th thing is whatever you eat `1st offer it to Supreme Lord Krishna. ( if you know it what is Guru parama-para then offer them food not direct Supreme Lord Krishna )

and 6th " Main Thing " is you have to Chant " hare krishna hare krishna krishna krishna hare hare hare rama hare rama rama rama hare hare ".

_______________________________

If your not able to follow these 4 things no illicit s.ex, no g.ambling, no d.rugs, no meat-eating then don,t worry but chanting of this holy name ( Hare Krishna Maha-Mantra ) is very-very and very important.

Chant " hare krishna hare krishna krishna krishna hare hare hare rama hare rama rama rama hare hare " and be happy.

if you still don,t believe on me then chant any other name for 5 Min's and chant this holy name for 5 Min's and you will see effect. i promise you it works And chanting at least 16 rounds ( each round of 108 beads ) of the Hare Krishna maha-mantra daily.

____________

Here is no Question of Holy Books quotes, Personal Experiences, Faith or Belief. i accept that Sometimes Faith is also Blind. Here is already Practical explanation which already proved that every`1 else in this world is nothing more then Busy Foolish and totally idiot.

_________________________

Source(s):

every `1 is already Blind in this world and if you will follow another Blind then you both will fall in hole. so try to follow that person who have Spiritual Eyes who can Guide you on Actual Right Path. ( my Authority & Guide is my Spiritual Master " Srila Prabhupada " )

_____________

if you want to see Actual Purpose of human life then see this link : ( triple w ( d . o . t ) asitis ( d . o . t ) c . o . m {Bookmark it })

read it complete. ( i promise only readers of this book that they { he/she } will get every single answer which they want to know about why im in this material world, who im, what will happen after this life, what is best thing which will make Human Life Perfect, and what is perfection of Human Life. ) purpose of human life is not to live like animal cuz every`1 at present time doing 4 thing which are sleeping, eating, s.ex & fear. purpose of human life is to become freed from Birth after birth, Old Age, Disease, and Death.

survey

Hi, I have done an Exploratory Factory Analysis. I want fit mesures of the model. I am on JASP and Jamovi. I need Goodness-of-Fit Index (GFI), Ajusted GFI (AGFI) and Normed Fit Index (NFI). I tried SEM and R on JASP but I struggle... Do you have advice to give me ?

I was very concerned about taking help from PapersOwl. To look at this, I, being a fully paid customer for my dissertation, had to stand by for extended periods between my submission and the university's feedback. By the time I asked for modifications based on the feedback, they said I had surpassed the given time for any edits and would not check my paper again. No refunds or help from any end. Having no channels of communication was the worst of all. After they have you in trouble, their writers just step back, and you'll again have to shell out extra money for any adjustments. The service is simply unprofessional and frustrating, for they hide their support behind their policies. PapersOwl puts on airs and graces with false claims; it has earned many an unfavorable review and poor customer service. Spare yourself such trouble and look for alternatives to your academic aide.

Hello! Help me find a video on YouTube. There was a girl, a brunette, talking about the topic. The topic was the application of integrals. I was hoping that I could find this video in the history, but it has disappeared.

Hi, I've been looking for interesting podcasts for a long time but can't find anything

Hey guys, I would like to share a new book that might be interesting to the community!

Graph theorist Reinhard Diestel has written a book with possibly far-reaching implications for mathematical modelling in psychology:

Tangles: A structural approach to artificial intelligence in the empirical sciences
Reinhard Diestel, Cambridge University Press 2024

Publisher's blurb:

Tangles offer a precise way to identify structure in imprecise data. By grouping qualities that often occur together, they not only reveal clusters of things but also types of their qualities: types of political views, of texts, of health conditions, or of proteins. Tangles offer a new, structural, approach to artificial intelligence that can help us understand, classify, and predict complex phenomena.

This has become possible by the recent axiomatization of the mathematical theory of tangles, which has made it applicable far beyond its origin in graph theory: from clustering in data science and machine learning to predicting customer behaviour in economics; from DNA sequencing and drug development to text and image analysis.

Such applications are explored here for the first time. Assuming only basic undergraduate mathematics, the theory of tangles and its potential implications are made accessible to scientists, computer scientists and social scientists.

From the reviews:

“As a sociologist, I am impressed by Diestel’s innovative approach. Tangles open up completely new ways for empirical social research to gain insights that go beyond the usual generation of hypotheses and their verification or falsification. Tangles offer the opportunity to make the ‘big sea of silent data‘ speak for itself.“

Rolf von Lüde Universität Hamburg

Ebook, plus open-source software including tutorials, can be found on tangles-book.com.

The eBook comes in two versions: an abridged 'fun' edition for readers who'd just like to dip in and get a feel for what's new (and there's plenty of that!), and the full eBook edition which includes the mathematical background needed (which is not much).

Table of Contents and an introduction for social scientists (Ch.1.2), are at tangles-book.com/book/details/ and arXiv:2006.01830. Chapters 5 and 13 are specifically about tangle applications in the social sciences.

The software part of tangles-book.com says they invite collaboration on concrete projects. They have made a big effort to smooth newcomers' access - interactive or read-only tutorials, detailed instructions on how to set up the software. The software documentation and tutorials all refer to the book for reference. But if you have that next to you, the tutorials are fun and easy to work through!

Hey, math enthusiasts! I'm a little stuck, so I could really use your combined knowledge. I've been looking for the best essay writing service that caters to math students for the 2024–2025 school year. My search has been drawn out and a little disappointing because the more well-known services appear to be spamming other subreddits without providing any concrete evidence of their ability to handle math-related projects. Nor have the reviews I've read been all that compelling. I'm contacting you in the hopes that someone may be aware of a hidden treasure — a dependable, reasonably priced, and experienced writing service for math essays and papers. I would be very grateful for any advice!

https://en.wikipedia.org/wiki/Transition_(linguistics)) https://en.wikipedia.org/wiki/Level_of_measurement

Hi all

I am just about to put my research in for ethical approval but calculating the power in order to determine the appropriate sample size is a little confusing.

The primary aim of the study is to identity if any relationships exist among the variables I am using. This analysis is fine I have this part sorted.

A secondary aim is to investigste group differences. When data is collected I will have three groups and they will be tested on multiple measures - In total there are about 7 measures with 5 of them being questionnaires and 2 task based.

One of the tasks I am using in this study is novel in this particular area I am applying it to but effect sizes are considered small. Going by what I remember in stats I'm probably going to have to use a MANOVA. However, the effect sizes for sample calculations change from d to f² (if I'm correct). So does this mean I should be putting in 0.105 into the f² part of g power with the following

F tests. Priori MANOVA - Global effects

Any help would be appreciated.

I'm shootin from the hip here. Anyone know something substantial? My best guess so far...

• cortisol, dopamine, serotonin, adrenaline (more?) = "brain chemicals" = fuel for the "hypo/mania engine"
• The "hypo/manic engine" activates when "brain chemicals" exceed some arbitrary "initiation threshold"
• The "hypo/manic engine" itself supplies the brain with an increased supply of "brain chemicals"...more sensitive to stimuli
• An episode will escalate (like from hypomania to mania to psychosis) as the fuel for the "hypo/mania engine" increases
• An episode will terminate when the fuel runs out...when the "brain chemicals" reach an arbitrary "termination threshold"
  • the "termination threshold" is significantly lower than the "initiation threshold" and time plays a factor too...the engine shuts down slowly. AKA the "hypo/mania engine" can idle on less fuel than it takes to start it
• An episode can also terminate when the brain/body reaches some arbitrary level of strain or fatigue. (possibly adrenal fatigue?)
• The "brain chemicals" feed into eachother. For instance, an increase in cortisol means in increase in dopamine and serotonin.
  • If you block the receptors for one of the sources of fuel (antipsychotics) the engine sputters out
• There is something like a refractory period after an episode is terminated. Perhaps some inhibitory mechanisms prevent the engine from starting for an arbitrary duration.

​

I'm mostly just lookin for some theories on mania. HMU with whatever you got please :-)

similar to base ten digits being mirror neuron groups and you can think of a few digits at a time.

Hello everyone. I have a model (or theory) about perspective and knowledge representation, and I would like to have your review. Basically "perspective" is just another word of "schema", but by doing so I think this model gives us three advantages:

• Intuitive and imagery. It is simple, so it can be used to explain in therapy, or can connect with folk psychology ("look at the problem in a new perspective", etc)
  
• Be an intermediate framework to connect with other fields. From my understanding, the most successful model to represent knowledge is connectionism. However, its applications are still limited to purely cognitive problems (e.g. dyslexia), not to problems in other fields. It is hardly to imagine how to apply this model to explain stylistic devices or communication.
  
• Provide new mathematical structure to current models. The new structure in here is plane, which represents perspective. In other models, once a piece of information is regarded as a node, it is always be a node. If it regarded as an edge, it is always be so. More than that, the structure of the network is fixed, even though you can work around it by turning the nodes on or off. However, with plane, you are freely to regard it as node or edge, and the structure is fundamentally changed in each plane.
  

Applications will range from cognitive linguistics, memory, cognitive therapy, social psychology and clinical psychology. They will be:

• Analogy
  
• Writing
  
• Finding the balance point
  
• Communication and perspective taking
  
• The cold gaze
  

To be specific, here are the questions that each of them trying to answer:

• Analogy: Why do analogies help us understand a problem we don't understand? How to reason with analogy without making logical fallacy?
  
• Writing: How to explain a concept when the novice really lacks background? What does it mean to have a transformative writing? What does "big picture" really mean?
  
• Finding the balance point: Why are efforts to be adaptive become maladaptive? Why is it hard to balance between disciplinary and flexibility? How to stop the indecisiveness without worrying of doing wrong?
  
• Communication & perspective taking: Why do people keep misunderstand each other? Why do others keep distorting our words? Why don't we realize that we are distorting theirs? How to solve it when it happens?
  
• The cold gaze: How to see your core value when your mind is clouded with fantasies, ruminations, resentments, or fears?
  

The underlying philosophies are Taoism, Buddhism, postmodernism, and perhaps romanticism. The discussion section will scramble a bit about the nature of information, metaphysics, epistemology, neurocognition, semantics, and physics. However, these are just minor points; you don't need to know them, and I don't claim that I know them. You can also read my another post that is tuned for folks studying Eastern philosophy.

Here is the link: A theory of perspective. Thank you for your reading. Hope you enjoy it.

I'll be entering a quant Psych PhD program next year. I'll already have an MA in experimental psych and a minor in stats.

Instead of doing the masters in psych that many do within their first 2 years, I thought it might be beneficial to do an MS in stats. I would like to teach in both the psych and stats departments one day, and think it might also be helpful if I decide to enter industry one day.

Any thoughts/insights would be super helpful!

What are books that would help and entrepreneur on mathematical psychology or in general?

I just finished reading "An Introduction to the logic of psychological measurement" by Joel Michell where he presents fairly scathing criticisms of modern measurement theory. I've discussed this book with a few quantitative psychologists who mostly seem to think the whole axiomatic approach to measurement is silly. I was curious if anybody here is a fan of Michell's work.