In the Dining-philosophers Problem explained in the class, one possible solution to avoid the deadlock problem is to use an asymmetric solution. What is this solution using a pseudo-code algorithm?

Answers

Answer 1

Algorithm, each philosopher is represented by a thread that repeatedly thinks, picks up the first fork (on their left-hand side), picks up the second fork (on their right-hand side), eats, and puts down both forks. The Semaphore class is used to represent the forks, and the acquire() and release() methods are used to acquire and release the forks, respectively.

The asymmetric solution to the Dining-Philosophers problem is based on allowing an odd-numbered philosopher to first pick up the fork on their left-hand side and then the one on their right-hand side, while an even-numbered philosopher does the opposite.

This ensures that no two neighboring philosophers can hold the same fork at the same time and eliminates the possibility of a deadlock.

Here's a pseudo-code algorithm for this solution:

# Initialize shared variables

philosophers = [0, 1, 2, 3, 4] # the list of philosophers

forks = [Semaphore(1) for i in range(5)] # one semaphore for each fork

# Define the behavior of each philosopher

def philosopher(i):

 while True:

   # philosopher i thinks

   time.sleep(random.uniform(0, 1))

   # pick up the first fork

   forks[i].acquire()

   # pick up the second fork

   forks[(i+1) % 5].acquire()

   # philosopher i eats

   time.sleep(random.uniform(0, 1))    

   # put down the forks

   forks[i].release()

   forks[(i+1) % 5].release()

# Start the program by creating and starting a thread for each philosopher

threads = [Thread(target=philosopher, args=(i,)) for i in philosophers]

for t in threads:

 t.start()

# Wait for all threads to finish

for t in threads:

 t.join()

The program creates and starts a thread for each philosopher, and then waits for all threads to finish.

The asymmetric solution ensures that no two neighboring philosophers can hold the same fork at the same time, and thus avoids the possibility of a deadlock.

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Related Questions

what is the volume of the sphere shown below with a radius of 9

Answers

Answer:

972π  or 3052.08 if π=3.14(remember to label the answer with your units)

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\\[/tex]π[tex]r^{3}[/tex]. So, just plug the radius into the formula. [tex]r^{3}[/tex] in this case is [tex]9^{3}[/tex] which is 729. For, [tex]\frac{4}{3}[/tex]×729, the 3 and 729 cancel out to create 4×243 which is 972. Just add π to this and you get 972π. If π is 3.14 just multiple 972 and 3.14 to get 3052.08.

Hi having a bit of trouble.

Answers

Answer:

  P = 160/A

Step-by-step explanation:

For P to vary inversely with A, we must have P be proportional to the reciprocal of A. The constant of proportionality is given.

Inversely proportional

Two quantities are directly proportional if there is a constant of proportionality (k) that multiplies one of them to give the value of the other:

  y = kx

They are inversely proportional if the inverse of one of them can be multiplied by a constant of proportionality to give the value of the other:

  y = k(1/x) = k/x

In this problem, the variables P and A are said to be inversely proportional. That means the equation that relates them will be of the form ...

  P = k/A

You are given such a form with k=160, which is an appropriate value for the relation given by the problem. All you need to do is fill in the variable:

  P = 160/A

There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many different groups of players of 6 players can the coach make, if the position does not matter?

Answers

Using the combination formula, the coach can make 5,005 different groups.

The position does not matter, hence the combination formula is used.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 6 students are taken from a set of 15, hence the number of groups is:

[tex]C_{15,6} = \frac{15!}{6!9!} = 5005[/tex]

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What is the size of exterior angle of regular polygon which has interior angle of 120 degree?

Answers

Answer: 60 degrees

Step-by-step explanation:

An interior angle of a polygon and its corresponding exterior angle are supplementary (add to 180 degrees).

Is 1/11 a irrational number?

Answers

Answer:

No

Step-by-step explanation:

Am irrational number is a number that can't be expressed by a ratio (fraction). 1/11 is a fraction so it is rational, not irrational.

If x = false and y = false, is the statement: not x or not y
a) true
b) false

Answers

Answer:

false

Step-by-step explanation:

X is equal to Y

therefore,

X = Y

X= false

Y = false

so,

false = false

What number is represented by point B? A number line going from 1 to 2 with 5 equal spaces between 1 and 2. Point B is one mark to the left of 2. StartFraction 4 Over 5 EndFraction 1 and StartFraction 4 Over 5 EndFraction 1 and StartFraction 5 Over 4 EndFraction 2 and StartFraction 1 Over 5 EndFraction

Answers

Since A number line going from 1 to 2 with 5 equal spaces between 1 and 2the number represented by point B is 1⁴/₅

The question has to deal with proportion

What is proportion?

Proportion is the measure of a variable or quantity relative to another.

How to calculate which number represents point B?

Since A number line going from 1 to 2 with 5 equal spaces between 1 and 2, the measure of a sub-unit between 1 and 2 is

= 1/5

So, each sub-unit measure 1/5

Since point B is one mark to the left of 2, we have that point B is y = 2 - 1/5 = (10 - 1)/5

= 9/5

= 1⁴/₅

So, the number represented by point B is 1⁴/₅

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Answer this one please!

Answers

Using simultaneous equation,

a=-1, b=1, x=1, y=0
OR
a=1, b=-1, x=1, y=0.

Find the maximum or minimum value of the product of two numbers whose difference is 14.

Answers

The maximum value of the product of two number whose difference is 14 is 49.

What is the maximum or minimum value of a function?

The maximum or minimum value of a function is the highest or lowest value of that function.

How to determine the maximum or minimum of the product of two numbers?

Let the numbers be x and y

Their product f(x,y) = xy

Since their difference is 14, x - y = 14

So, x = 14 - y

Substituting x into f(x,y), we have

f(x,y) = xy

= (14 - y)y

= 14y - y²

To find the maximum or minimum value of f(x,y) we differentiate it with respect to y and equate to zero.

So, f(x,y) = f(y) = 14y - y²

df(y)/dy = d(14y - y²)/dy

df(y)/dy = d(14y)/dy - dy²/dy

df(y)/dy = 14 - 2y

Equating to zero, we have

df(y)/dy = 0

14 - 2y = 0

14 = 2y

y = 14/2

y = 7

To determine if this gives a maximum or minimum for f(y) = f(x,y), we differentiate f'(y) again

So, df'(y)/dy = d(14 - 2y)/dy

= d14/dy + d(-2y)/dy

= 0 - 2

= -2 < 0.

Since f"(y) = -2 < 0, then y = 7 gives a maximum for f(x,y)

So, since y = 7,

x = 14 - y = 14 - 7 = 7

So, f(x,y) is maximum at x = 7 and y = 7

So, f(7,7) = 7 × 7

= 49

So, the maximum value of the product of two number whose difference is 14 is 49.

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Evaluate the piecewise function at the indicated values from the domain:

ƒ(−1) = 1

ƒ(−1) = −1

ƒ(−1) = −2

ƒ(−1) = 0

Answers

The value of the piecewise function at the domain is f(-1) = 1

How to evaluate the piecewise function?

The complete question is added as an attachment

At x = -1, the function is

f(x) = x^2

So, we have:

f(-1) = (-1)^2

Evaluate

f(-1) = 1

Hence, the value of the piecewise function at the domain is f(-1) = 1

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If the width of a rectangle can be represented by x and the length by x + 10, write an expression that can be used to represent the area of the rectangle. Simplify the expression as much as possible.

Answers

Answer:

The expression for area is (x)(x+10).

Step-by-step explanation:

Area=(w)(l)

Area=(x)(x+10)

(Note: This expression can be expanded, but then it wouldn't be fully simplified)

Hope this helps!

Geroge is bringing garonla bars and apples for his classmate at school apples cost 0.75 each qnd garonla bars cost 0.15 each geroge will bring 60 total items too school and spend a total of 21$ whixh system of equations best respesents the number of apples a and the number of garonla bars g?

Answers

The system of equations best represents the number of apples a and the number of garonia bars g be a+b=60, 0.75x+0.15y=21.

Given that cost of 1 apple is $0.75, cost of 1 gargonia bars be $0.15 ,total things are 60 and total money paid be $21.

Equation is relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+by=c. It may be a linear equation,quadratic equation, cubic equation.

Because we have been told that there are 60 total things and a represents the number of apples and g represents number of garonia represents the number of garonia bars.

a+b=60--------1

Money paid by consumers is cost per units*number of units

So,

0.75a+0.15b=21

Hence the system of equations best represent the number of apples and the  number of garonua bars g are a+b=60, 0.75a+0.15b=21.

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A linear expression does not have a squared variable.

Answers

it is true that a linear expression does not have a squared variable.

How to determine the true statement?

The following are the forms of a linear expression

y = mx + c

Ax + By = C

x = a

Notice that none of the above expressions have a squared variable

This means that, a linear expression does not have a squared variable.

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1 1/5 · x/3 = 9/10
solve for x

Answers

The value of x in the equation 1 1/5 - x/3 = 9/10 is 9/10

Fraction

1 1/5 - x/3 = 9/10

- x/3 = 9/10 - 1 1/5

- x/3 = 9/10 - 6/5

-x/3 = 9-12 / 10

-x/3 = -3/10

divide both sides by - 1/3

x = -3/10 ÷ - 1/3

= -3/10 × -3/1

x = 9/10

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Someone do this please

Answers

Answer: 102 degrees

Step-by-step explanation:

The remote angle theorem is that two remote angles are equivalent to the exterior angle. Both 51 degrees are remote angles, and angle 4 is the exterior.

51 + 51 = Angle 4

Angle 4 = 102 degrees

Find the circumference of a circle with diameter, d = 8.92m. give your answer rounded to 2 dp.

Answers

Answer:

Step-by-step explanation:

circumference is 2πr

r=d/2

r=4.46m

C=2π(4.46)=28.02

Identify the perimeter of a rectangle in which h = 8 ft and a = 144x ft^2. please help asap

Answers

Here, Given

h= 8ft

a=144 * ft^2

then,

A=L*H

144=L*8 or 144/8 =L

L=18

now, P=2(L+H)

P=2(18+8)

P=52m

Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.

The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.

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60÷8 explained well and not in a decimal form

Answers

Answer: 15/2

Step-by-step explanation: if you fraction it, it'll be 60/8 so you can simplify it by 4. So 60÷4/8÷4 will be 15/2. So the answer is 15/2

Answer:

15/2 or 7 1/2.

Step-by-step explanation:

60 / 8      divide top and bottom by 4:-

= (60/4)  /  (8/4)

= 15/2.

If the sum of the interior angle of a polygon is 1800 how many sides does it have

Answers

Answer: 12 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is 180(n-2), where n is the number of sides

[tex]180(n-2)=1800\\\\n-2=10\\\\n=12[/tex]

5 roses in a vase 12 flowers what is the ratio of all flowers in the vase of daisies

Answers

The ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.

The number of flowers in the vase = 12 flowers

The number of roses in the vase = 5 roses.

Therefore, the number of daisies in the vase = The number of flowers in the vase - The number of roses in the vase,

or, the number of daisies in the vase = 12 - 5 = 7.

Thus, the number of daisies in the vase = 7.

We are asked to find the ratio of the total number of flowers in the vase, to the number of daisies in the vase.

Thus, the ratio = The number of flowers in the vase/The number of daisies in the vase,

or, the ratio = 12/ = 12:7.

Thus, the ratio of the total number of flowers in the vase, to the number of daisies in the vase is 12:7.

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Solve the equation: √2 + 4 - 1 = 2
A) ±x= √5
B) ±x = √13
OC) x= 3
D) x = 5

Answers

Answer:

Step-by-step explanation:

1) Separate terms with roots from terms without roots.

[tex]x^2+4=\sqrt[\frac{1}{2} ]{4+1}[/tex]

2) Simplify 4 + 1 to 5.

[tex]x^2+4=\sqrt[\frac{1}{2} ]{5}[/tex]

3) Invert and multiply.

[tex]x^2+4=5^2[/tex]

4)  Simplify  [tex]5^2[/tex] to 25.

[tex]x^2+4=25[/tex]

5) Subtract 4 from both sides.

[tex]x^2=25-4[/tex]

6) Simplify 25 - 1 to 24.

[tex]x^2=21[/tex]

7)  Take the square root of both sides.

[tex]x=\pm\sqrt{21}[/tex]

Answer:

A

Step-by-step explanation:

[tex]\sqrt{x^{2}+4}-1=2\\\sqrt{x^{2}+4}=3\\x^{2}+4=9\\x^{2}=5\\x=(plus/minus) \sqrt{5}[/tex]

1. A committee of 3 men and 4 women is to be formed from 5 men and 6 women. If a particular woman is not to be included, how many different committees are possible​

Answers

Step-by-step explanation:

Taking the men first: there are 5 ways to form a 4-man committee out of 5 men.

Taking the women now: There are 20 ways to form a 3-woman committee out of 6 women.

Each of the 5 possible male groups can be combined with any of the 20 possible female groups.

So: 100.

(17,-13),(17,8) finding slope from two points

Answers

Hi!

  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

There are really two ways to solve this problem. One of them is the slope formula. You can familiarise yourself with this formula

[tex]\sf{\dfrac{y2-y1}{x2-x1}}[/tex]

SUBSTITUTE the values

[tex]\sf{\dfrac{-13-8}{17-17}}[/tex]

[tex]\sf{\dfrac{-21}{\bf{0}}[/tex] (notice the zero was in bold-face)

Dividing by zero is an operation we cannot do.

So the slope of this particular line is not defined.

The other way is looking at the first co-ordinates of the points given

Notice that they are exactly the same. Whenever that happens, the slope of that line is not defined.

Hope that made sense !!

  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  

[tex]\star\tiny\pmb{\tt{calligraphy}}\star[/tex]

5x=3125 how do i solve that

Answers

Answer:

just divide 3125 by 5 and your answer is 625

Step-by-step explanation:

Using division, 3125 by 5 and get answer 625.

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

If 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  a / b = a divided in b equal parts.

We have been given 5x = 3125

Divide by 5 each sides;

x = 3125/5

x = 645

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1/2a+2/3b=50 when b=30?

Answers

The given equation is (1/2)a + (2/3) b = 50

and b = 30

Substituting the given value of b is above the equation we get

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a+\left(\frac{2}{3}\right)\times30=50 } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow \left(\frac{1}{2}\right)a+20=50 } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a=50-20=30 } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow a = 30 \times 2 = 60 } \end{gathered}$}[/tex]

Therefore, a = 60 and b = 30 is a solution of the given equation.

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mean of four consecutive even numbers is 15. Enter each number separated by a comma

Answers

Let the first number be x.
Therefore second number is (x+2).
Therefore third number is (x+4).
Therefore forth number is (x+6).

Hence,
(x+x+2+x+4+x+6+x+8)/4 = 15
(4x+12)/4 = 15
x+3 = 15
x = 12

So,
The number is 12, 14, 16, 18.

Hope it helps : )

Answer:

12, 14, 16, 18

Step-by-step explanation:

(x + (x+2) + (x+4) + (x+6))/4 = 15

^ solve algebraically

you'll get (4x+12)/4 = 15

then: 4x + 12 = 60

then 4x = 60-12

then 4x = 48

then x = 12

x is 12 so then do substitution

so you get

12 + (12+2) + (12+4) + (12+6)

12, 14, 16, 18

Which answer represents the following conditional statement in shorthand?
if megan is swimming, then it is warm outside.

Answers

The expression which represents the given conditional statement in shorthand is: S → W.

What is a conditional statement?

A conditional statement can be defined as a statement that can be written to contain both a hypothesis and conclusion. Thus, it typically has the form "if P then Q."

Where:

P and Q represent sentences.

If Megan is swimming = S

It is warm outside = W

Therefore, if Megan is swimming, then it is warm outside is represented by S → W.

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What is the value of the function at x=−2? y=−4 y equals negative 4 y = 0 y, = 0 y = 2 y = 2, y = 3

Answers

Based on the graph which models the function at x = -2 (see attachment), the corresponding y-value is y = 3.

What is a function?

In Mathematics, a function can be defined as a mathematical expression which can be used to define and show the relationship that exist between two or more variables in a data set.

In this scenario, there are several values (points) on the given linear graph expressed as a coordinate (x, y). Hence, the x-values on the x-axis is directly proportional to the y-values on the x-axis.

By critically observing the graph which models the function at x = -2 (see attachment), we can logically deduce that the corresponding y-value is three (3).

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Answer:

Ik im late but yea

Step-by-step explanation:

I took the test :O

Find AC please help trig is so hard

Answers

I hope this helps, I tried to make my handwriting as easy to read and to explain as much, I just used a calculator to compute all those values to find AC

2. (4)1 point possible (graded, results hidden)Recall for Define the kernel function Write as a function of the dot product . To answer, let , and enter in terms of . z^2 submitted

Answers

The Kernel Function K (x,x') written as a function of the dot product x *x' is  K (x, x') = Z². See the working below.

What is a Kernel Function?

A kernel function is a way for taking input data and transforming it into the needed form of processing data.

The term "kernel" refers to a collection of mathematical functions used in Support Vector Machine to provide a window to alter data.

What is the solution deriving the expression given above?

Given x = [x₁, x₂][tex]^{T}[/tex]

β(x) = [x²₁, √2 x₁ x₂, x²₂]

K (x₁, x') = β(x)[tex]^{T}[/tex] β(x')[tex]^{T}[/tex]

Hence, X' =  [x₁, x₂][tex]^{T}[/tex]

→ β(x') = [x'²₁, √2 x'₁ x'₂, x'²₂]

K (x, x') = [x²₁, √2 x₁ x₂, x²₂][tex]^{T}[/tex]  [x'²₁, √2 x'₁ x'₂, x'²₂]

K (x, x') = [x²₁, [x'²₁ + 2x₁ x₂ x'₁ x'₂ + x²₂ x'²₂

Because Z = x · x' (dot product of x·x')

= x₁ x'₁ + x₂x₂'

Expressing K (x,x') as a function of Z, we have

K (x₁, x') =  x²₁ x'²₁ + 2x₁x₂ x'₁ x'² + x²₂ x'²₂

Simplified, we have

(x₁ x₁¹ + x₂x¹₂)² =  Z²; and

[(a+b)² = a²+2ab+b₂] = z x₁x₁¹ + x₂x₁²

Therefore,

K (x, x¹) = Z²

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