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1 year ago

How primes split in the cyclotomic field \Q(\zeta_p)

1 answer:

8 0

A cyclotomic field problem is used to determine and understand how all rational primes (q) split in the integers of the given cyclotomic field F = Q(ζN).

<h3>What is a cyclotomic field?</h3>

A cyclotomic field can be defined as a number field that is typically obtained by adjoining the field of rational numbers with a complex root of unity to Q.

In number theory, a cyclotomic field problem is used to determine how all rational primes (q) split in the integers of the given cyclotomic field F = Q(ζN).

<u>Where:</u>

ζN is a root of unity of order N.

Furthermore, we can infer and logically deduce that a cyclotomic field is a very important mathematical expression which is used in number theory to analyze, depict, and understand how all rational primes (q) split in the integers.

Read more on cyclotomic field here: brainly.com/textbook-solutions/q-19-let-e-splitting-field-x-5-1

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According to C. Wright Mills, what one quality of mind do all great sociologists possess

Semenov [28]

According to C. Wright Mills, one quality of mind do all great sociologists possess is sociological imagination.

<h3>What is sociological imagination?</h3>

Sociological imagination refers to the ability of someone to form an outlook on life through their own personal experiences as they interact with members of their society over time. This outlook they form can change based on newly acquired experiences.

You can learn more about social imagination here brainly.com/question/3927775

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1 year ago

Anyone wanna be my best friend???

Aleks [24]

Answer:

meee

Explanation:

i wanna be your friend

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2 years ago

Read 2 more answers

Which organelle is used to store water?

oksano4ka [1.4K]

Answer:

D. vacuole

Explanation:

A vacuole holds water, food, waste, nutrients, proteins, and carbohydrates. It also removes harmful things that can damage cells.

3 0

2 years ago

the distribution of lengths of salmon from a certain river is approximately normal with standard deviation 3.5 inches. if 10 per

juin [17]

Complete question;

<em>The distribution of lengths of salmon from a certain river is approximately normal with a standard deviation of 3.5 inches. If 10 percent of salmon are longer than 30 inches, which of the following is closest to the mean of the distribution? 26 inches A 28 inches B 30 inches C 33 inches D 34 inches</em>

Option B is correct. The value that is closest to the mean of the distribution is 30inches.

The formula for calculating the z-score is expressed as:

$z=\frac{ x-\mu}{\sigma}$

Given the following parameters

$\sigma = 3.5\\x = 26in$

If 10 percent of salmon are longer than 30 inches, then:

P(x>30) = 0.1

Using the z table to get the value corresponding to the mean area 0.1.

The required z-score will be -1.285

Substitute the resulting parameters into the formula to get the mean of the distribution.

$z=\frac{x-\mu}{\sigma}\\-1.285=\frac{26-\mu}{3.5}\\-1.285 \times 3.5 = 26 - \mu\\ -4.4975 = 26 - \mu\\\mu = 26 + 4.4975\\\mu = 30.4975\\\mu \approx 30in$

Hence the value that is closest to the mean of the distribution is 30inches.

Learn more here: brainly.com/question/15295437

3 0

1 year ago

Find the value of z such that

Reika [66]

Answer:

z = 1.00

Explanation:

Given:

Probability of z value = 0.6826

By using standard normal table for z value.

P(-z < Z < z) = 0.6826

P(Z < z) - P(Z < -z) = 0.6826

We know that

P(Z < z) + P(Z < -z) = 1

So,

2P(Z < z) - 1 = 0.6826

2P(Z < z) = 1 + 0.6826

2P(Z < z) = 1.6826

P(Z < z) = 1.6826 / 2

P(Z < z) = 0.8413

So,

P(Z < 1.00) = 0.8413

z = 1.00

5 0

3 years ago