Importance Of Maths Image Model

Fundamental Number Related Images

Emblem Name Meaning/Definition Model

= equivalent sign equity 5 = 2+3

5 2+3 . Is equivalent to

Equivalent Sign Imbalance No 5 4

5 4 . isn’t equivalent to

estimation sin(0.01) 0.01,

x y implies x is around y . Is equivalent to

> 5 > 4 . stricter imbalance than

5 4 . is more prominent than

< Severe imbalance under 4 < 5

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4 5 . is not exactly

imbalance 5 more noteworthy than or equivalent to 4,

x y implies x is more noteworthy than or equivalent to y

disparity 4 not exactly or equivalent to 5,

x y implies x is not exactly or equivalent to y

( ) sections initial 2 × (3+5) = 16 . How about we ascertain the articulation inside

[] The sections ascertain the main articulation [(1+2)×(1+5)] = 18

+ also sign expansion 1 + 1 = 2

− less sign deduction 2 – 1 = 1

± additionally – short in addition to and less both activity 3 ± 5 = 8 or – 2

± less – in addition to short and in addition to both activity 3 5 = – 2 or 8

* mark augmentation 2 * 3 = 6

× Increase Sign Augmentation 2 × 3 = 6

point increase 2 3 = 6

division mark/Obelus division 6 2 = 3

/division cut division 6/2 = 3

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— Flat Line Division/Portion \frac{6}{2}=3

Mod Module Equilibrium Count 7 Mod 2 = 1

, Period Decimal Point, Decimal Separator 2.56 = 2+56/100

stomach muscle power type 23 = 8

a^b caret type 2^3 = 8

a square root

a = a

9 = ±3

3√a Shape Root 3√a 3√a 3√a = a 3√8 = 2

4√a Fourth Root 4√a 4√a 4√a 4√a = a 4√16 = ±2

n√a n-th root (extremist) n=3, n√8 = 2 . for

% Rate 1% = 1/100 10% × 30 = 3

1‰ per plant = 1/1000 = 0.1% 10‰ × 30 = 0.3

ppm per million 1 ppm = 1/a million 10 ppm × 30 = 0.0003

Ppt per trillion 1ppt = 10-12 10ppt × 30 = 3×10-10

Calculation Image

Logo Name Meaning/Definition Model

point subtended by two beams ABC = 30°

Estimated point ABC = 30°

Round point AOB = 30°

Right point = 90° α = 90°

°° 1 turn = 360° α = 60°

degree 1 turn = 360 degree α = 60 degree

twofold prime arcsecond, 1′ = 60″ α = 60°59′59″

line limitless line

Stomach muscle line section from point A to point B

The beam line which is at point A. begins from

Circular segment curve from point A to point B = 60°

Opposite vertical lines (90° point) AC BC

equal lines Stomach muscle Album

Mathematical shapes and sizes ABC≅ XYZ . comparing to the proportionality of

~ Comparability Same Size, Not Same Size ABC~ XYZ

Triangle Shape ABC≅ BCD

|X-Y| Distance between focuses x and y. X-Y | = 5

pi consistent = 3.141592654…

The proportion between the boundary and measurement of a circle is

c = d = 2⋅π⋅r

Radian Radian point unit 360° = 2π rad

c radian point unit 360° = 2π c

Grade Gradians/Gone Graduates Point Unit 360° = 400 Grades

g gradians/gons gradions point unit 360° = 400 g

Variable Based Maths Image

Logo Name Meaning/Definition Model

To track down the obscure worth of the x variable When 2x = 4, then x = 2

closeness to

Equivalent to Definition Equivalent to Definition

:= equivalent to definition equivalent to definition

~ roughly equivalent frail estimation 11 ~ 10

estimate sin(0.01) 0.01

corresponding to relative

y x When y = kx, k consistent

Lemonscat Boundlessness Image

1 a million . significantly less than

1 parcel more than a million

( ) sections initial 2 * (3+5) = 16 . How about we compute the articulation inside

[] The enclosures compute the primary articulation [(1+2)*(1+5)] = 18

{ } set supports

x⌋ The base section adjusts the number to the accompanying whole number 4.3⌋ = 4

x⌉ roof section number upper whole number 4.3⌉ = 5 . gather together

X! interjection mark factorial 4! = 1*2*3*4 = 24

, X | Vertical bar outright worth | – 5 | = 5

f (x) The capability of x guides the upsides of x to f(x) f (x) = 3x+5

(f g) capability structure (f g) (x) = f (g (x)) f (x) = 3x, g (x) = x – 1 (f g) (x) = 3( X-1)

(a, b) open stretch (a, b) = {x | a < x < b} x∈ (2,6)

[a, b] shut stretch [a, b] = {x | a x b} x [2,6]

Delta change/contrast t = t1 – t0

Differential = b2 – 4ac

Sigma Total – Amount of the relative multitude of values in the series xi= x1+x2+…+xn

sigma twofold total

Capital Pie Item – Result of all qualities in the series xi=x1∙x2∙…∙xn

E steady/Euler’s number E = 2.718281828… E = Lim(1+1/x)x , x→∞

Euler-Mascheroni steady = 0.5772156649…

brilliant proportion brilliant proportion steady

pi steady = 3.141592654…

The proportion between the circuit and breadth of a circle is

c = d = 2⋅π⋅r

Straight Polynomial Maths Images

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spot scalar item a b

× cross vector item a × b

Stomach muscle Tensor Item Tensor Result of An and B A B

\langle x,y \rangle Inward Item

[ ] framework of bracket numbers

( ) enclosure grid of numbers

, A | Determinant of Framework A

det(A) determinant of framework A

, X || Twofold Vertical Bar Standards

AT translate network render (AT) ij = (A) g

A† Hermitian Framework Grid

Jugate translate (A†)ij = (A)ji

a * Hermitian framework network form render (a *) ij = (a) g

A-1 Converse Grid A-1 = I

rank(a) framework rank grid a rank(a) = 3

Dim(u) aspect of framework a dim(u) = 3

Likelihood And Insights Images

Logo Name Meaning/Definition Model

P(A) Likelihood capability Likelihood of occasion A P(A) = 0.5

P(A⋂B) Likelihood of occasions Convergence Likelihood of occasions An and B P(A⋂B) = 0.5

P(A⋃B) likelihood association of occasions Likelihood that occasions An or B P(A⋃B) = 0.5

P(A | B) Restrictive Likelihood Capability Likelihood of occasion A given occasion B happened P(A | B) = 0.3

f (x) Likelihood Thickness Capability (pdf) P(a x b) = f (x) dx

F(x) Combined Dissemination Capability (cdf) F(x) = P(X≤ x)

μ populace mean of populace values μ = 10

E(X) Anticipated esteem arbitrary variable X E(X) = 10 . expected worth of

E(X | Y) given Y E(X | Y=2) = 5 . Restrictive Anticipated Worth of Irregular Variable X

var(X) fluctuation of the irregular variable X var(X) = 4

2 Difference of Populace Values 2 = 4

std(x) standard deviation standard deviation of arbitrary variable x std(x) = 2

X Standard Deviation Standard Deviation Worth of Arbitrary Variable X = 2

irregular variable x. mean worth of

cov(X,Y) covariance of arbitrary factors X and Y cov(X,Y) = 4

corr(X,Y) Relationship of irregular factors X and Y Connection corr(X,Y) = 0.6

x, y arbitrary factors x and y x, y = 0.6 . relationship of

total – the amount of all qualities in the scope of the series

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Mo mode esteem that happens most often in the populace

MR Mid-Reach MR = (xmax+xmin)/2

Md test middle a portion of the populace is not exactly this worth