Answer:
F=dA
dF=0
d⋆F=⋆J
where in fact the second equality is not needed because of the identity d2=0 . In abstract tensor notation, these equations expand to
Fab=2∇[aAb]
∇[aFbc]=0
∇aFab=Jb
where in the above, additional compact notation has been used to simplify things: square brackets mean antisymmetrizing indices, and the covariant derivative ∇a is related to a flat derivative ∂a and a connection Γbac . Now, performing a 3+1 decomposition (here in flat space-time) Maxwell's equations break down as
∇⋅B⃗ =0
∇⋅E⃗ =4πρ
∂B⃗ ∂t=−∇×B⃗
∂E⃗ ∂t=+∇×B⃗ −4πJ⃗ .
In the above, there is yet more compactifying notation: the divergence is defined as
∇⋅v⃗ =∂vi∂xi
and the curl is defined as
(∇×v⃗ )i=ϵijk∂vk∂xj.
In the above, still more compactifying notation has been used, namely the Einstein summation convention. Written out in components, the divergence is
∇⋅v⃗ =∂vx∂x+∂vy∂y+∂vz∂z
and curl is defined as
(∇×v⃗ )z=∂vy∂x−∂vx∂y
and similarly for the other two components.
As you can see, the extremely compact and powerful notation
dF=0
d⋆F=⋆J
expands out to a large set of component equations—but they have the same content, so it's not very meaningful that the equations in components are much longer than in terms of differential forms.
As another example, Elson Liu answered with an exploded-out form of the Standard Model Lagrangian. However, it can be written much more compactly:
L=LYM+LHiggs+Llep.+Lqrk.+LYuk.
where
LYM=−14TrFabFab
LHiggs=−(Daϕ†)(Daϕ)+14λ(ϕ†ϕ−12v2)2
Llep.=iℓ†I/DℓI+ie¯†I/De¯I
Lqrk.=iq†I/DqI+iu¯†I/Du¯+id¯†I/Dd¯I
LYuk.=−yIJϕℓIe¯J−y′IJϕqId¯J
−y′′IJϕ†qIu¯J+h.c.
and specifying that F is the curvature on the gauge group G≃SU(3)⊗SU(2)⊗U(1) , Da is the gauge covariant derivative on G, /D is the gauge covariant Dirac operator on G, and specifying the representations of the fields: the scalar ϕ in the rep (1,2,-1/2), and the fermions ℓ in the rep (1,2,-1/2), e¯ in (1,1,+1), q in (3,2,+1/6), u¯ in (3¯,1,−2/3) , and d¯ in (3¯,1,+1/3) ; where I is a generation index running over 1,2,3, and where everything else is a constant.
Step-by-step explanation:
Select the correct answer.
What is the missing side length in this right triangle?
A.
15
B.
21
C.
225
D.
441
Answer:
Where is the triangle? At least say the other sides length
PLEASE HELP I WILL GIVE A BRAINLIEST!!! THANK U.
Answer:
I wish I was smart in math because that looks hard!!
Step-by-step explanation:
Help me please please I really need this
Answer:
area of triangular logo = ½ × base × height
= ½ × 8 × 11
2
= 22 in²
Answer:
22
Step-by-step explanation:
If you multiply the base times height, which would be 8 * 5 1/2, You get 44. Then multiply that by 1/2 to get the area, and you get 22.
Hope this helps!
help please omg ive been working on this for such a long time
Answer:
D
Step-by-step explanation:
It D because you must divide to get the cost for each notebook since there are 6 notebooks and they all cost $13.50. [tex]6\sqrt{13.50}[/tex] so, 2.25 each.
Can someone help me?
My teacher said to put in simplisit form. and not to estimate.
Answer:
No 4 is easy you get 2/3
My explanation is just make the denominator the same which is 13/6 - 9/7
13 x 7/6x7 - 9x6/7x6
The answer it its 91/42 - 63/42
=28/42
If you simply it it would be 2/3
(/ this means by) sorry for my bad explanations
Here is to my last q
Answer: D (Mean is 85)
Explanation:
"The list below shows the quiz scores for a group of students.
95, 80, 80, 85, 80, 85, 90"
The choices talk about median and mode so we find those first:
Median: find by taking which is the middle number when the data is from low to highest
1) rearrange them from low to high
80, 80, 80, 85, 85, 90, 95
2) find middle number
80, 80, 80, 85, 85, 90, 95
The median is 85
Mean: mean is the average of all numbers. Find by adding numbers and dividing by amount of numbers
1) add 80, 80, 80, 85, 85, 90, 95 and get 595
2) There are 7 total numbers so do 595/7 = 85
The mean is 85
D is the correct answer
why?
A is wrong because they are 85 not 80
B is wrong because it is 85 not 80
C is wrong because it is 85 not 80
D is right because it is 85!
GIVING BRAINLIEST
Which key correctly represents the information below?
A) 11 | 2 = 12
B) 1 | 2 = 12
C) 11 | 2 = 112
D) 11 | 2 = 13
Answer:
The correct answer is C) 11 | 2 = 112
Step-by-step explanation:
That is because that is how these kinds of stem and leaf plots work. You add the number on the left to each individual number of the right. For example, the numbers in row 11 are actually:
112, 112, 115, 118.
The reason why we have stem plots is that it removes the need to write the 11 at the beginning of the number and lets you interpret and analyze the data more easily.
Stemplots are also pretty annoying and useless, and something you'll basically never use, so don't worry if they don't make much sense :)
Which rules has a scale factor of 5 and shifted up and to the left?
Answer: more info pls
Step-by-step explanation:
I do n't understand please help?
Answer:
1. 145-(3squared times 4)=109
2. 45 divided by 9 times 12-8= 52
3. 2 squared +3 times 4-12= 4
4.[155-(3 times 9) times 2] -12= 89
5. [(6 times 2) +(5 times 5) times 3= 111
6. 2 times {15+[24-(1.5 times 2)]}= 72
Step-by-step explanation:
(BOMDAS) brackets, operations, multiplication, division, addition, subtraction
1. (deal with the brackets first)
3 squared=9 then times by 4 =9*4=36
so..
145-36=109
2. (start with division )
45 divided by 9 =5
so
5 times 12-8= 52
3. 2 squared = 4
4 times 3 =12
so
4+12-12 =4
4. (deal with brackets first)
3 times 9 = 27
27 times 2= 54
155-54= 101
101-12=89
5. (deal with the brackets first)
6 times 2 =12
5 times 5=25
so 12+25= 37 times 3 = 111
6. (deal with the brackets first)
1.5 times 2= 3
24-3= 21
15+21=36
2 times 36= 72
hope this helps!!!
What is the formula for distance?
A. d = r + t
B. d = r – t
C. d = rt
D. d= r/t
Answer:
C) d =rt
Step-by-step explanation:
A basketball season ticket holder pays $111.06 for her tickets plus $2.50 for a program each game. A second person pays $14.84 for a ticket to every game, but doesn’t buy programs. In how many games will they have paid the same amount?
Luisa works at a gift shop. She receives a bonus if she sells at least 20 balloon bouquets in a month. Which graph represents the number of bouquets she needs to sell to get a bonus?
easy question, easy points
"Explain why the solution of a system of linear equations is the point of intersection of their graphs"
Can you please explain this to be in a simpler form?
Answer:
Step-by-step explanation:
The solution of a system of linear equations is the point of intersection of their graphs because the intersection represents the only x or y values that will satisfy both/all equations. The graph visually shows that the intersection of these equations is the only spot on the graph that all of the equations have in common. This means that only this spot will satisfy all equations. For example, the intersection may be (0,1); this means that for all equations an x value of 0 will always result in the y value of 1. However, an x or y value that satisfies one equation may not satisfy the others if they do not lead to the desired outcome.
Please help I'm confused
Answer:
Step-by-step explanation:
Help me answer the four questions on the left pls!
Answer:
l = 14
Step-by-step explanation:
The perimeter of a rectangle is
P =2(l+w)
The width is x-6
w = x-6
The length is 8 units longer than the width
l = w+8
l = x-6+8
l = x+2
We can substitute this into the equation for Perimeter, which is given as 40
40 = 2(x+2 + x-6)
Combine like terms
40 =2 (2x-4)
Divide by 2
40/2 = 2/2 (2x-4)
20 = 2x-4
Add 4 to each side
20+4 =2x-4+4
24 = 2x
Divide by 2
24/2 =2x/2
12=x
We want to know the length
l = x+2
l =12+2
l = 14
A right rectangular prism is 6 cm by 14 cm by 5 cm. What is the surface area of the right prism?
Surface Area = 2lw + 2hw + 2lh
(Geometry)
Answer:
The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.Jul 8, 2014
Step-by-step explanation:
Paulo has a receipt from a restaurant. The total amount is blurred, but he knows he left a $4.25 tip, which was 20% of the cost of the meal. How much did his meal cost? How much did he spend in total?
No random answers pls
Answer:
21.25 and a total of 25.50
Step-by-step explanation:
multiply 4.25 by 5 to get the meal cost and add the 4.25 for the tip
Teri wanted to hit 24 home runs this season. However, she hit 125% of her goal. How many home runs did Teri hit this season?
Answer:
30 home runs
Step-by-step explanation:
0.24×125=30
hope this helps
Samantha is investing $7000 in a savings account that earns 4% simple annual interest. How much interest will she earn after 5 years?
you dont have to help me but can if u want and if u do then ill be appreciated
Answer: -40 or 40
Step-by-step explanation:
y = -1.5x + 60
y = 60 divided by -1.5
= -40
Hope this helps!
Write the formula for the parabola that has x-intercepts (1.3,0) and (-1.3,0), and y intercept (0,169)
If the data in the stem-and-leaf graph below were shown in a line plot, which statement(s) would be true
of the line plot?
Answer:
We could calculate the range and median.
Contractionary fiscal policy is used to __________.
A.
increase the amount of money in the economy
B.
decrease the amount of money in the economy
C.
decrease the money in the economy, then increase it
D.
increase the money in the economy, then decrease it
Answer:
to fix a expansionary or inflationary period
Pls help me please please
Answer:
So first do the exponent the divide then multiply ad then subtract
Step-by-step explanation:
By using PEMDAS we can tell if Tisha is correct
Hope this helps
A pear weighs 7/8 pound. A case contains 12 pears. If each pear weighs the same, how much does the case of pears weigh?
Answer:
67
Step-by-step explanation:
Answer:
10.5 pounds
Step-by-step explanation:
[tex]\frac{7}{8} *12=10.5 lbs[/tex]
Cog counted down from 2021 subtracting 7 repeatedly. How many positive multiples of three did he count?
Answer:
673.6? ur supposed to divide right?
plzzzzzzzzzzzzzzzzz helpp mee
PLEASE HELP!!!
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
Answer:
A = 55 in²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₁ the parallel bases
Here h = 5, b₁ = 5 and b₂ = 17 , then
A = [tex]\frac{1}{2}[/tex] × 5 × (5 + 17) = 2.5 × 22 = 55 in²
Answer: 55
Step-by-step explanation: A=a+b
2h=5+17
2·5=55
________
Hope it helps
Please helppppp ASAP
Answer:
for every 1 packet you get 10 plants
for every 1 pound there are 5 cups
Step-by-step explanation:
2. Select the properties that both rectangles and parallelograms always share.
4 right angles
4 sides of equal length
2 pairs of parallel sides
2 pairs of sides with equal length
2 acute angles and 2 obtuse angles
3. Select the properties that equilateral triangles and isosceles triangles have in common.
0 sides of equal length
2 sides of equal length
3 sides of equal length
3 equal angles
Answer: 1: 2 pairs of parallel sides
2: 3 sides of equal length
Step-by-step explanation:
your welcome✌✨
どういたしまして✌✨
欢迎您✌✨
de nada✌✨
a) The properties that both rectangles and parallelograms always share is 2 pairs of parallel sides
b) The properties that equilateral triangles and isosceles triangles have in common is 2 sides of equal length
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
a)
Let the figure be represented as ABCD
Now , the figure ABCD is a rectangle
And , the opposite sides are parallel for a rectangle
Therefore , a rectangle is a parallelogram with 2 pairs of parallel sides
b)
An equilateral triangle is a triangle is 3 equal sides
An isosceles triangle is a triangle with 2 equal sides
Therefore , the property that equilateral triangles and isosceles triangles have in common is 2 sides of equal length
Hence , the parallelogram is solved
To learn more about parallelogram click :
https://brainly.com/question/23488153
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