Research Inventy : International Journal of Engineering and Scienceinventy
Research Inventy : International Journal of Engineering and Science is published by the group of young academic and industrial researchers with 12 Issues per year. It is an online as well as print version open access journal that provides rapid publication (monthly) of articles in all areas of the subject such as: civil, mechanical, chemical, electronic and computer engineering as well as production and information technology. The Journal welcomes the submission of manuscripts that meet the general criteria of significance and scientific excellence. Papers will be published by rapid process within 20 days after acceptance and peer review process takes only 7 days. All articles published in Research Inventy will be peer-reviewed.
Research Inventy : International Journal of Engineering and Scienceinventy
Research Inventy : International Journal of Engineering and Science is published by the group of young academic and industrial researchers with 12 Issues per year. It is an online as well as print version open access journal that provides rapid publication (monthly) of articles in all areas of the subject such as: civil, mechanical, chemical, electronic and computer engineering as well as production and information technology. The Journal welcomes the submission of manuscripts that meet the general criteria of significance and scientific excellence. Papers will be published by rapid process within 20 days after acceptance and peer review process takes only 7 days. All articles published in Research Inventy will be peer-reviewed.
แจกแผนการจัดการเรียนเรียนการสอนแบบ EIS เรื่อง Real number ผมบอกตามตรงว่ายังไม่ดีเท่าที่ควรแต่แผมเอามาแชร์ ให้ดูกัน พอเป็นวิทยาทาน โดย ครูยอดหทัย รีศรีคำ TSO MATH โรงเรียนสุนทรภู่พิทยา เข้าไปเยี่ยมเยียนกันได้ที่ www.tsomath.com
แจกแผนการจัดการเรียนเรียนการสอนแบบ EIS เรื่อง Real number ผมบอกตามตรงว่ายังไม่ดีเท่าที่ควรแต่แผมเอามาแชร์ ให้ดูกัน พอเป็นวิทยาทาน โดย ครูยอดหทัย รีศรีคำ TSO MATH โรงเรียนสุนทรภู่พิทยา เข้าไปเยี่ยมเยียนกันได้ที่ www.tsomath.com
แจกแผนการจัดการเรียนเรียนการสอนแบบ EIS เรื่อง Real number ผมบอกตามตรงว่ายังไม่ดีเท่าที่ควรแต่แผมเอามาแชร์ ให้ดูกัน พอเป็นวิทยาทาน โดย ครูยอดหทัย รีศรีคำ TSO MATH โรงเรียนสุนทรภู่พิทยา เข้าไปเยี่ยมเยียนกันได้ที่ www.tsomath.com
แจกแผนการจัดการเรียนเรียนการสอนแบบ EIS เรื่อง Real number ผมบอกตามตรงว่ายังไม่ดีเท่าที่ควรแต่แผมเอามาแชร์ ให้ดูกัน พอเป็นวิทยาทาน โดย ครูยอดหทัย รีศรีคำ TSO MATH โรงเรียนสุนทรภู่พิทยา เข้าไปเยี่ยมเยียนกันได้ที่ www.tsomath.com
As a business owner in Delaware, staying on top of your tax obligations is paramount, especially with the annual deadline for Delaware Franchise Tax looming on March 1. One such obligation is the annual Delaware Franchise Tax, which serves as a crucial requirement for maintaining your company’s legal standing within the state. While the prospect of handling tax matters may seem daunting, rest assured that the process can be straightforward with the right guidance. In this comprehensive guide, we’ll walk you through the steps of filing your Delaware Franchise Tax and provide insights to help you navigate the process effectively.
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Remote sensing and monitoring are changing the mining industry for the better. These are providing innovative solutions to long-standing challenges. Those related to exploration, extraction, and overall environmental management by mining technology companies Odisha. These technologies make use of satellite imaging, aerial photography and sensors to collect data that might be inaccessible or from hazardous locations. With the use of this technology, mining operations are becoming increasingly efficient. Let us gain more insight into the key aspects associated with remote sensing and monitoring when it comes to mining.
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2. T.KAINOY
(
)
2.
r = {(x,y) ∈ A× B | P(x,y) } x
P(x,y) y x y 1
r3= {(x, y) | y2= x } x=4
y=2 -2
r4= {(x, y) | y = x2 } x
y
r5= {(x, y) | y = x } x=2
y = 2, -2
3.
y
1
r (x , y1) r
(x , y2) r y1 = y2
3. T.KAINOY
2 r = {(x,y) R R y2 = 4x +1
}
y2 = 4x + 1
(x , y1) r y12 = 4a + 1 ….. (1)
(x , y2) r y22= 4a + 1 ….. (2)
(1) (2) y12 = y22
y1 = y 2
y1 =
y2
3 r = {(x,y) R R y= x 1}
y= x 1
(x , y1) r y1 = a 1 …..(1)
(x , y2) r y2 = a 1 …..(2)
(1) (2) y1 = y2
4. T.KAINOY
y = f(x) y = g(x)
f ( x, y) R R y 2x 5 y 2x 5
f ( x) 2x 5
g ( x, y ) R Ry x2 y x2
g ( x) x2
f(x) f x
4 f f ( x) 2 x 2 1
f(0) , f(2) f(-1)
f ( x) 2 x 2 1
f (0) 2(0) 2 1 1
f (2) 2(2) 2 1 7
f ( 1) 2( 1) 2 1 1
5 f (1) 2 f ( x 1) 1
2
x
f ( x)
f ( 4)
2
f ( x 1) 1 f (1) 2
f ( x)
2 2
x 1 f (2) 1 1 2
f (1) 2
2 2
x 2 f (3) 1 1 2
f (2) 2
2 2
x 3 f (4) 1 1 2
f (3) 2
1. A B(f : A B)
5. T.KAINOY
Df = A Rf B
6 A = {1,2,3,4} B = {3,6,7,8}
1. f1 = { (1,3) , (2,6) , (3,7) , (4,8) }
f1 D f1 = { 1,2,3,4, } = A
f1 A B
2. f2 = { (1,6) , (2,7) , (3,8) }
f2 Df2 = { 1,2,3 } A
f2
f2 Df2 B
2. A B (f : A onto
B)
Df= A Rf= B
3. 1 – 1 (One – to – one function )
f 1-1
2
6. T.KAINOY
f
A B A B
f1
1 x f2
m
x
2 y
o
y
3 z
n
f1 1-1
f2 1-1
many-to-one
f 1–1
1.
X
X
1
1–1
2. X
7. T.KAINOY
1-1
many – to – one
3.
(x1,y) f (x2,y) f
x1 =
x2 1-1
7 f f ={(x , y) R R X 1
+ Y 1 =2}
f 1-1
(x1,y) f (x2,y) f
x1 1 + y 1 =2 ….. (1)
x2 1 + y 1 =2 …...(2)
(1)=(2) x1 1 = x2 1
x1 +1= x2 +1
x1 = x2
1-1
8 f = {(x , y) R R y = x 2}
f 1-1
(x1,y) f (x2,y) f
y = x 12 …….. (1)
c = x 22 …….. (2)
x12= x22 x1 = x2
8. T.KAINOY
x1 = x2
f 1-1
y
x y
4. A B” (f : A 1 1
B)
Df= A Rf B “ y x
”
5. A B(f : A B)
Df= A Rf= B “ y x
”
f A B f
4
9. T.KAINOY
1. (Constant Function)
f (x) = a ( )
f (x) = 2 ,f (x) = -3
2. (Linear Function)
f (x) = ax + b ( )
10. T.KAINOY
f (x) = 5x+3 , f (x) = 4x
3. (Quadratic Function)
f (x) = ax2+ bx + c ( )
f (x) = 3x2+ 2x + 1 , f (x) = 7x2- 4
4. (Polynomial Function)
f(x) = an x n an 1 x n 1 ... a2 x 2 a1 x a0
an , an 1 ,...,a2 , a1 , a0 n
f(x) = 2x5+ 3x3 + 4x + 7
5. (Rational Function)
f(x) = p(x), q(x) q(x) 0
f(x) = 3 x
2
2
x 1
6. (Absolute Value Function)
f (x) = ax + b + c ( )
f(x) x
7. step function)
11. T.KAINOY
8. periodic function)
f p f(x+p)
= f(x) x x+p f