addition is tougher

Strict note

Earn
Your
Daily
Wage
First
Then
Think
Abstraction

Dear mathematics peoples

Sanjoy Nath slaps abstraction
Sanjoy Nath's philosophy of Geometrifying Trigonometry number system slaps over fascinating n dimensional maths community with big blow

"Earn your daily salary first"
Dont talk abstraction craps

Engineers are top much angry on mathematics peoples
Math peoples get money for not helping engineering peoples.they are over busy wirh bull shit abstraction. Sanjoy Nath found that gap and attacked whole community of mathematics people with concrete real life daily use maths.
Look dear math peoples.your maths are so abstract that no real people can use that in daily life.Sanjoy Nath's philosophy of Geometrifying Trigonometry number system has given big blow to your abstraction craps.

Sanjoy Nath's philosophy focus on pure 2D euclidean geometry representation of real numbers and to express all arithmetic as 2D Euclidean plane GEOMETRY process of re interpreted arithmetic which is sanjoy Nath's philosophy of materialistic arithmetic and to do so first comes Geometrifying Trigonometry as foundations basis of reasoning and interpretation.
Sanjoy Nath's Geometrifying Trigonometry strictly works on 2D Euclidean plane and generates 2D simplex (GTSIMPLEX and GTLOCKEDSET BOLS Bunch of Line Segments things as mathematical objects) . Sanjoy Nath's philosophy of Geometrifying Trigonometry number system has entirely different target to do research. Sanjoy Nath's target is to express algebra like trigonometry expressions into 2D Euclidean geometry representation which are BOLS Bunch of Line Segments looks like 2D Euclidean plane graph G (V,E) objects. Sanjoy Nath's philosophy of real numbers are considered as triangles and all real Numbers are Triangles because 2 line segments edges in a triangle always form caliper. Caliper is defined as one edge removed from a (2D Euclidean plane) triangle. One edge of the caliper is reference line segment which is denominator object and other edge of the caliper object is gluer line segment which is numerator object. Every division operation in Sanjoy Nath's philosophy of real numbers are reference to gluer relationship. Denominator to numerator relationship are always reference to gluer relationship. Say there is any expression like
(G1/R1)×(G2/R2)×..............(Gn/Rn)
The last gluer line segment Gn is output line segment of whole multiplication. This whole chain construction looks like 2D simplex. Sanjoy Nath's Geometrifying Trigonometry considers its name as GTSIMPLEX
G1 line segment is consumed as reference R2
G2 line segment is consumed as reference R3
......
Consuming as reference line segments means construction of a glued similar triangle such that
Line segment G_i is exactly overlapping on R_I+1
This means next reference gluer caliper(triangle - one dummy complementary edge) is constructed keeping all proportion same but "aligned and scaled to fit operation". Engineering peoples call this multiplication operation as "aligned and scaled to fit operation" whereas mathematics people call
this same operation as "gluing on common edge".

🙏🙏🙏🙏🙏🙏

Strict note that this third dummy line segment is not any evaluation. This thitd dummy complementary line segment is only to complete the 2 edged caliper object to complete 2D triangle object. Real numbers in Sanjoy Nath's philosophy of Geometrifying Trigonometry number system is the ratio of length of numerator gluer edge to length of denominator reference line segment object. This process of reference to gluer ratio process is materialistic arithmetic (followed from Greek ancient mathematicians to curren Steel fabricators shop floor everwhere in engineering fitter welders terms)
Engineers almost always get angry on mathematics people because creating concrete GEOMETRY (ambiguity free language for GEOMETRY representation is not there but mathematics people are over busy with abstract super abstract super super over abstract abstraction things and real ground problems of 4 symmetry handling are still in dark age. Sanjoy Nath's Geometrifying Trigonometry philosophy started addressing vocabulary designing concrete systems ambiguity free concrete mathematics for Steel fabricators bim systems 4symmetry handling like situations of daily life in Steel fabricators and erection process geometry issues. Sanjoy Nath's Geometrifying Trigonometry address hardcore Steel structures bim geometry problems and Sanjoy Nath's gluing means real welding gluing where gluing represent real multiplication with "align and scaled to fit" which is practically a cad command. Sanjoy Nath's Geometrifying Trigonometry philosophy of real numbers is practically practical and no unnecessary abstraction done there.

Side note

Stage 1 cancer cells own intelligence versus stage 6 cancer cells own intelligence 😃😃😃🙏🙏🙏🙏
Cancer cells know and smile at human
Calipering the secret
Caliper is just 2 edge
2D Euclidean plane Triangle -1 dummy complementary edge= a caluper object
Sanjoy Nath's philosophy says
Axiom 1
Addition is tougher than division
Axiom 2
Division is easiest and human cognition understand division first which is reference to gluer relationship
Axiom 3
Multiplication is gluing decides stage wise gluer objects

Only after sufficient gluer objects in hand now use filters which you can add or which you cannot add.and addition need proper calipered order so
Everything are noncommutative
Strict note
Everything is noncommutative
Strict note that You cannot add things in order less ways

"Addition and rule'
Have you ever heard that??????
"Division and rule"
You heard that

Sanjoy Nath's philosophy of Geometrifying Trigonometry number system says it is natural

Natural
Natural
Natural

Only after a certain level of maturity of human's owns mind of cognition human will understand"addition is rule"

Sanjoy Nath's philosophy of Geometrifying Trigonometry number system (natural materialistic arithmetic)BOCDMAS is reality
🙏🙏🙏🙏🙏🙏

Sanjoy Nath's Division operation means construction of triangle on 2D Euclidean plane because joining the third dummy line segment through 2 free ends of a caliper construct a triangle. Triangle on 2D Euclidean plane and caliper object on 2D Euclidean plane are same things when interpreting with Sanjoy Nath's philosophy of real numbers because
2D Euclidean plane triangle -one dummy complementary edge= a caliper
Caliper= representation of reference to gluer relationship

________________________
Whereas
Thurston did different research
Thurston did not focus on plane Trigonometry
___________________________________
Thurston gluing is a mathematical technique introduced by William Thurston to construct 3 dimensional hyperbolic manifolds by gluing together ideal tetrahedra. This method involves solving a system of "gluing equations" that ensure the dihedral angles of the tetrahedra match up correctly at the edges where they are joined. This process allows for the study and creation of complex geometric shapes and has been applied to fields like low-dimensional topology and geometry, with ongoing research into its generalizations and applications.
How it works
Ideal tetrahedra: The building blocks are ideal tetrahedra, which are tetrahedra with vertices at infinity.
Gluing equations
The dihedral angles at the faces where the tetrahedra are joined must be made to match for the resulting manifold to be geometrically consistent.
Solving the equations: Mathematicians solve the "Thurston gluing equations" to find the values of the angles that satisfy these matching conditions.
Constructing a manifold: By finding a solution, a consistent geometric structure, such as a hyperbolic 3-manifold, can be constructed from the pieces.
Applications and extensions
Hyperbolic 3-manifolds: The technique is a fundamental tool for understanding and constructing these complex shapes, which are important in low-dimensional topology.
Geometric transitions: The method has been generalized to study transitions between different types of geometries, such as from hyperbolic to anti-de Sitter (AdS) geometry.
Computational methods: Computer programs have been developed based on these equations to help mathematicians study and visualize these geometric structures.
Generalizations: Researchers have extended the concept beyond hyperbolic geometry, for example, to explore non-commutative versions of the equations or to study other types of geometric structures.