[OJA STUDIES] Introducing Otomeity

Loong · 2026年09月07日01:09

This post will discard all previous discussions on otomeity.

Otomeity is defined as a set of concerned love and avoidant hatred. We use AND, not OR because these 2 quantifiable objects are always tangential.

Tangential variables must appear in pair and they must be linearly independent. Denote any 2 2D vectors, a and b, they are tangential when cos\theta of below dot product (i.e scalar product, which is matrix multiplication of a pair of matrics transpose to each other) is zero, i.e. \theta = \frac{\pi}{2}:

Cov{a,b} = a ‧ b = |a||b| cos\theta

Note that dot product and covariance are equivalent.

This results in a rectangular hyperbola:

|a||b| = c (a constant)

where a,b,c are NEVER equal to zero and ALWAYs positive.

Like indifference curve in microeconomics, the tangent to the rectangular hyperbola is a budget line like this:

m\frac{\textbf{a}}{\textbf{|a|}} + n\frac{\textbf{b}}{\textbf{|b|}} = \textbf{p}

where |p| = total budget and m, n are NON-ZERO and POSITIVE quantities.

The existence of tangential relationship, therefore, implies that love and hatred exist in form of duality which cannot offset each other completely. In OJA STUDIES, tangential relationship is always applied to every linear variables to achieve the aim of making dialectics.

Loong · 2026年09月07日01:18

There are 2 basic pairs of tangential variables in otomeity:

{Functional otomeity, Ordinary Otomeity}
{Analogue Otomeity, Digital Otomeity}

If you perform Cartesian products on these 4 variables, the tangential relationship will remain valid, given the following conditions, denoting any 3 variables i, j, k:

Condition 1: Cov{i, j} = 0
Condition 2:
|i|/|k| = a constant > 0 exclusive or
|j|/|k| = a constant > 0

For example:

Cov{Functional Otomeity, Ordinary Otomeity} = 0
AND
Cov{Analogue Otomeity, Digital Otomeity} = 0
AND
|Functional Otomeity| / |Digital Otomeity| = constant > 0

which implies that:
Cov{Functional Otomeity, Analogue Otomeity} = 0
AND
Cov{Ordinary Otomeity, Digital Otomeity} = 0
AND
|Ordinary Otomeity| / |Analogue Otomeity| = constant > 0

Loong · 2026年09月07日01:22

Now we give the verbal definitions of the 4 variables above:

Analogue Otomeity = Feminity of females
Digital Otomeity = Feminity of males

(Try prove that feminity and masculinity are also tangential)

Ordinary Otomeity = Avoidant Hatred in feminity
Functional Otomeity = Concerned Love in feminity

(Try prove that Avoidant Hatred and Concerned Love are tangential)

Otomeity is then the measure of m and n in arbitrary constants.

Loong · 2026年09月07日01:26

Hatred must be avoidant.

(Try prove that |Hatred|/|Avoidance| = constant > 0)

Love must be concerned.

(Try prove that |Love|/|Concern| = constant > 0)

For example, you speak ill of a person because you don't wanna see him/her. Hatred to a person voids when he/she disappears.

Also, you love a person because you find him/her fruitful. Love is void when the marginal utility of him/her drops to zero or below.

Loong · 2026年09月07日14:05

Let's recap the above tangential relationships in simple mathematics:

For any 3 variables p, q, r,
if p, q are of inverse proportion, and q, r are of direct proportion, then p, r are of inverse proportion,

i.e.

pq=k_1
q=k_2r
\to pr=k_3

i.e. pq=k_2pr=k_2k_3=k_1

Loong · 2026年09月07日15:06

Tangential relationship helps reduce the dimensions of the 4 variables from 4 to 2 such that we can represent the geometry in a 2D Cartesian coordinates plane:

D = Functional Otomeity
V = Ordinary Otomeity
O = Digital Otomeity
H = Analogue Otomeity

This model is very important in OJA STUDIES as its use is quite versatile. We call this model Ojalytic Diagram and the following formulas are established:

D/O = V/H = K (a constant)
DH = VO = kC (constants)

where C = Doremotional Product
= Sum of Human Civilizations

Loong · 2026年09月07日15:14

OJA STUDIES interprets reality so all jargon in the former should be easily translated to general English. In fact, we have the following laymen terms for the above otomeities:

D = Moral
V = Violence
H = Sexual Appeal
O = Reason

Another set:

D = Virtue
V = Karma
H = Sexuality
O = Individual Difference

For example: VO = constant,
i.e. If your IQ is too high or too low, you will get bullied easily because people tend to eliminate Individual differences for the ease of social control. In the process of bullying, those who is being bullied loses karma.

Note that there 4 official jargon for the above 4 capital letters:

D = Doremotion
= Public ideology count

V = Virtricity
= Private ideology count

H = Hentaicity
= Extent of preference change

O = Ojality
= Extent of non-normativeness

Loong · 2026年09月07日15:23

In aikolistatics, the 4 poles of the ojalytic diagram represent the following MK behaviors:

D = Transitional Aikolidynamism
V = Partial Aikolidynamism
H = Common Aikolidynamism
O = Complex Aikolidynamism

Also, they represent the following MK Cultures:

D = Doujinkonicism
V = Hentaikonicism
H = Smallwokonicism
O = Toitoisokonicism

In laymen terms:

D = Assimilation
V = Protection
H = Elimination
O = Justification

For example, all men (digital otomes) tend to contribute to academia to justify their existence.

Above are just for your information. I shall discuss them in late stages.

Loong · 2026年09月07日18:20

Now we shall discuss another mathy theory: Hentaics.

The following are the conventional symbols in ojalytic diagram:

H_x: Hentaicity
V_y: Virtricity
D_y: Doremotion
O_x: Ojality
H_c: Doremotional Product
H_a: Hentaiactivity
H_k: Hentaikonicity

Note: Do not mix up H_k with Hentaikonicism. The latter is an enumeration of partial aikolidynamism rather than a single vector.

Below is the first law of hentaicity which state that hentaicity and doremotion are tangential variables:

H_xD_y=kH_c

where 0 < k < 1

Both H_x and H_c have the dimension of time so that when calculating either of them, time t should be a fixed value. Note that:

H_c = \int_{0}^{t} D_y dt

So D_y has no dimension, so is V_y. Note that they are variables, NOT constants.

Loong · 2026年09月07日18:25

Now we shall note the law of ojality:

D_y = K O_x

Again, O_x has a dimension of time where K has the dimension of frequency. So the greater the value of K, the more individual difference of one would be of.

Note that the area under curve, i.e. \frac{K O_x^2}{2} is meaningless without an aikolistatic function which measures the mainstreamness of a person.

Loong · 2026年09月07日18:31

Then we introduce the second law of hentaicity such that hentaicity and ojality are tangential variables as well:

H_a =\frac{H_x}{O_x} = \frac{kK H_c}{D_y^2}

Note that H_a measures the naturalness of a behavior. For example, it is natural for males to erect their own penis when a female is nude. So in general female nudism has higher extent of naturalness, given the heterosexuals predominate over homosexuality spectra (i.e. LGBTQIA2S+), and the males behave such without much individual difference.

Loong · 2026年09月07日18:46

Now we introduce the third law of hentaicity, which measures hentaikonicity as the indicator of how mainstream a person is.

An aikolistatic function is an exponential function:

D_y = \omega e^{O_x}

It is meaningless without intersecting with ojality function:

D_y = K O_x

Then denote \epsilon as the x-coordinates of the intersection point, we have the third law of hentaicity:

H_k = K\epsilon^2 - \int_{0}^{\epsilon} \omega e^{\epsilon} d\epsilon

Then we have:

\omega < \frac{K}{2}

because of the fact that

H_k < \frac{K \epsilon^2}{2}

So a society must contain at least 3 persons for mainstream to occur.

Loong · 2026年09月07日22:04

Next, we have some less-mathy theories in doremotional studies：

FT Theory
Fundamental/Technical Analysis

DG Theory
Differentiated/General Doremotion

DT Theory
Doremotional/Technical Analysis

Doremotional studies is applying core theories in OJA STUDIES to every ideological realms such that the discourse is compatible with the general public. We use jargon in core theory but we use non-specialist terms in outputing theories in doremotional studies, i.e. all audiences should understand the latter without knowing any core theory. We are making common sense.

Loong · 2026年09月07日22:14

Now we tackle FT Theory.

Fundamental Analysis and Technical Analysis are tangential vectors in finance: We read financial statements in former and linear regression stuff in latter.

In fundamental analysis, the realm of knowledge is still finance itself while in technical analysis, thr realm is out of finance: we rely solely on statistics, which is an external knowledge beyond the scope of finance.

In investment, we can't rely sole on solely either of the analyses. We need to know if a share has robust financial wellbeing, as well as the patterns of the investors in stock markets.

Now we appropriate the aforementioned analyses from finance to every ideological realms. For example, in music appreciation, we need to know music theory (fundamental analysis) as well as audience's tastes (technical analysis) in order to market.

Loong · 2026年09月07日22:23

Now we tackle DG Theory.

General doremotion is those ideologies being generally acceptable. For example, we agree that all gadgets from Doraemon ar just science fiction such that no scientists will be stupid enough to attempt making a time machine to travel to the past.

Differentiated doremotion is those ideologies engendering conflicts between audiences. For example, masculine audiences will avoid watching magic girl genres as they resist feminity, while feminine audiences do the opposite: This mirrors conflicts in gender identities among audiences.

Both general doremotion and differentiated doremotion are tangential, i.e. no ideology has 100% unity and no ideology has 0% consensus, because individual differences always exist. For example, in abnormal psychology, everyone has deviance and like normal distribution, no one is of IQ 0 or 200 (i.e. extrema).

Loong · 2026年09月07日22:32

Lastly, we tackle DT Theory.

Doremotional Analysis means interpretation of ideology using core theory in OJA STUDIES. Sole use of it will makes the discourse unable to be read by any laymen.

Technical Analysis means interpretation of ideology using external knowledge not from OJA STUDIES. For example, we use metaphysical tools (e.g. Gann Theory) to day trade in financial market without reading even financial statements: this is complete speculation of no financial significance.

So in doremotional studies, both doremotional analysis and technical analysis must be tangential, i.e. co-exist, in order to communicate with audiences of different disciplines, otherwise the analysis will become either ivory tower or tabloid.