Hi
this is secret
I've a very strong desire for knowledge and always ask why
However I seemed to have a status lower than both cranks and trolls
As I'm technically transparent and only very few does notice my existence and respond to my questions in my threads
This is an unexplained phenomenon and so far happens only in the internet medium
P.S. Below is my maths knowledge level for mods for future reference
Honestly, I don't know very much about higher maths.
a. Things such as complex numbers, singularities, number theory are only being read briefly from wikipedia (and I mean really briefly, almost as if I just only know the names and basic definitions)
b. Users from a forum with 4D (mathematical) space as the subject briefly introduced group theory, ordinals and cardinals, pseudovectors and cross product and matrix transformations
Here's what i know about vectors:
Vector addition: either parallelogram rule or triangle rule.
Vector addition (algebric): Let a = ni + mj + pk and b = qi + rj + sk. a+b = (n+q)i+(m+r)j+(p+s)k
Vector subtraction: Addition of negative of vectors
Magnitude of vector a= |a|
Null vector = 0 (Don't know how to put the arrow sign here)
Dot product: Let a and b be vectors. a . b = |a||b|cos(angle between a and b)
Unit vector: Vector of magnitude 1. Let a be a vector: a^= a/|a|
Vector components: i^, j^, k^ etc. corresponds to the x, y, z etc. axes
Equality of vectors: If a = ni + mj + pk ,b = qi + rj + sk and a = b, then n=q, m=r, p=s
Here's what I know about matrix:
matrix addition and subtraction: Let A = (a b c;d e f;g h i), B = (p q r;s t u;v w x) and C = (m n; h k) then A+B = (a+p b+q c+r;d+s e+t f+u; g+v h+w i+x), A-B = (a-p b-q c-r;d-s e-t f-u; g-v h-w i-x) and A+C is undefined. A+B = B+A
matrix multiplication: (Matrix of order mxn)(Matrix of order nxp) = (Matrix of order mxp)
Let A = (a b;c d), B = (e f g;h i j) and C= (x y;z w;v u) then AB = (ae+bh af+bi ag+bj;ce+dh cf+di cg+dj) and AC is undefined. AB =/= BA
Transpose: Let A = (a b c;d e f), B = (q w r;i s k) and c be a scalar, then
A^T =(a d;b e;c f)
(cA)^T= c(A^T).
(A^T)^T = A. A^T + B^T = (A+B)^T
Identity matrix(In): All entires on the diagonal from top left to bottom right are 1 and others are zero (Must be square matrix (nxn))
(don't know how to type matrixes here so stuff after ; means next row in the matrix)
Here's what I know about powers:
Basic logarithm rules
Basic exponential rules
Index laws
For calculus:
Basic differentiation (limits and continuality, first principles, basic d/dx forumlae, rates of change)
Basic integration (Indefinite and definite integrals, area and volume under curve)
Others:
Basic things about set (e.g. empty set, intersections and unions, subset and elements within a set)
Basic logic (and, or, not, if, iff, not (A and B) = not A or not B (forgot name of the rule)
P.S.
I tried reading about rings(mathematics) in wikipedia but I fail to understand it
(Anything not listed may either mean I have not encountered it before, or that I've forgotten.)
(There's a possbility that even the stuff I listed will be forgotten and recalled at random)
You can introduce explanation using maths not on this list, and I'll try my best to understand and ask (usually via pm to avoid clutter up the threads) if I fail to understand/need clarification
P.S.2.
Some brief info of my personality to help you get my thoughts and assist in clarifying/correcting them:
1. I tend to find similarities/difference between two raondom things (be it how it is written, properties etc.)
2. I tend to place similar things into groups (laymen sense)
3. I tend to look for a general formula for a group (laymen sense) of things
4. I tend to approach maths visually and by understanding the motives and origin of formulae, manipulating numbers within a formula and see how it evolve geometrically and algebrically. I don't mind looking at formal proofs, given if I can understand them
5. I tend to attempt in "laymenlize" advanced things and share them with my friends and teachers
this is secret
I've a very strong desire for knowledge and always ask why
However I seemed to have a status lower than both cranks and trolls
As I'm technically transparent and only very few does notice my existence and respond to my questions in my threads
This is an unexplained phenomenon and so far happens only in the internet medium
P.S. Below is my maths knowledge level for mods for future reference
Honestly, I don't know very much about higher maths.
a. Things such as complex numbers, singularities, number theory are only being read briefly from wikipedia (and I mean really briefly, almost as if I just only know the names and basic definitions)
b. Users from a forum with 4D (mathematical) space as the subject briefly introduced group theory, ordinals and cardinals, pseudovectors and cross product and matrix transformations
Here's what i know about vectors:
Vector addition: either parallelogram rule or triangle rule.
Vector addition (algebric): Let a = ni + mj + pk and b = qi + rj + sk. a+b = (n+q)i+(m+r)j+(p+s)k
Vector subtraction: Addition of negative of vectors
Magnitude of vector a= |a|
Null vector = 0 (Don't know how to put the arrow sign here)
Dot product: Let a and b be vectors. a . b = |a||b|cos(angle between a and b)
Unit vector: Vector of magnitude 1. Let a be a vector: a^= a/|a|
Vector components: i^, j^, k^ etc. corresponds to the x, y, z etc. axes
Equality of vectors: If a = ni + mj + pk ,b = qi + rj + sk and a = b, then n=q, m=r, p=s
Here's what I know about matrix:
matrix addition and subtraction: Let A = (a b c;d e f;g h i), B = (p q r;s t u;v w x) and C = (m n; h k) then A+B = (a+p b+q c+r;d+s e+t f+u; g+v h+w i+x), A-B = (a-p b-q c-r;d-s e-t f-u; g-v h-w i-x) and A+C is undefined. A+B = B+A
matrix multiplication: (Matrix of order mxn)(Matrix of order nxp) = (Matrix of order mxp)
Let A = (a b;c d), B = (e f g;h i j) and C= (x y;z w;v u) then AB = (ae+bh af+bi ag+bj;ce+dh cf+di cg+dj) and AC is undefined. AB =/= BA
Transpose: Let A = (a b c;d e f), B = (q w r;i s k) and c be a scalar, then
A^T =(a d;b e;c f)
(cA)^T= c(A^T).
(A^T)^T = A. A^T + B^T = (A+B)^T
Identity matrix(In): All entires on the diagonal from top left to bottom right are 1 and others are zero (Must be square matrix (nxn))
(don't know how to type matrixes here so stuff after ; means next row in the matrix)
Here's what I know about powers:
Basic logarithm rules
Basic exponential rules
Index laws
For calculus:
Basic differentiation (limits and continuality, first principles, basic d/dx forumlae, rates of change)
Basic integration (Indefinite and definite integrals, area and volume under curve)
Others:
Basic things about set (e.g. empty set, intersections and unions, subset and elements within a set)
Basic logic (and, or, not, if, iff, not (A and B) = not A or not B (forgot name of the rule)
P.S.
I tried reading about rings(mathematics) in wikipedia but I fail to understand it
(Anything not listed may either mean I have not encountered it before, or that I've forgotten.)
(There's a possbility that even the stuff I listed will be forgotten and recalled at random)
You can introduce explanation using maths not on this list, and I'll try my best to understand and ask (usually via pm to avoid clutter up the threads) if I fail to understand/need clarification
P.S.2.
Some brief info of my personality to help you get my thoughts and assist in clarifying/correcting them:
1. I tend to find similarities/difference between two raondom things (be it how it is written, properties etc.)
2. I tend to place similar things into groups (laymen sense)
3. I tend to look for a general formula for a group (laymen sense) of things
4. I tend to approach maths visually and by understanding the motives and origin of formulae, manipulating numbers within a formula and see how it evolve geometrically and algebrically. I don't mind looking at formal proofs, given if I can understand them
5. I tend to attempt in "laymenlize" advanced things and share them with my friends and teachers
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