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Ratio of square numbers to numbers with 4 factors?

As N approaches infinity the ratio of squares less than N to numbers with 4 factors less than N approaches 0. This means that in the customary way of defining it, the ratio you're interested in is 0 (although that should be taken with a grain of salt - it certainly doesn't mean that there are 0 square numbers). The number of squares less than N is approximately √N. Rather than calculating the ratio we're interested in, we're going to calculate a calculate a ratio guaranteed to be greater: the ratio of squares to numbers that are twice a prime number (which are some, but not all, of the numbers with 4 factors). There are approximately N/ln N prime numbers less than N, by the prime number theorem. So there are N/(2 ln N/2) prime numbers less than N/2, which can be doubled to get a number less than N that's twice a prime number. The ratio is therefore √N(2 ln N/2)/N, which is O(ln N/√N). √N grows much faster than ln N, and in the limit this ratio will get close to zero. So the ratio we're actually interested in, which is even less than this ratio, will also approach zero.


The ratio of 5 and a number?

5/N, where N is the unspecified number.


Is a whole number a rational number?

yes!Any number that can be expressed as a ratio (or fraction) of two non-zero integers is a rational number.So a whole number (n), can be expressed as (n/1)


What type of number has a n odd number of factors?

all perfect square numbers


What is the value of 'n' for which under root 'n' be a rational number is?

Oh, what a lovely question! You see, for the square root of 'n' to be a rational number, 'n' must be a perfect square. When 'n' is a perfect square, the square root of 'n' will be a whole number, which is a rational number. Just like painting happy little trees, mathematics can be a beautiful and harmonious world when we understand its patterns and shapes.

Related Questions

What is the masonry mortar mix ratio for type N mortar?

Use for non-load application. Mix with sand to produce a mortar for bricks and blocks. Mix proportions by weight for TYPE N Mortar - 10 kg Masonry Cement - 35 kg Sand


What is better type s or n mortar mix?

The decision of whether type s or n mortar mix is better is determined by the application. N type mortar is used for above grade applications which see harsh weather while S type is used below grade like in ground application.


What is the best type of mortar to use for laying bricks?

The best type of mortar to use for laying bricks is typically Type N mortar, which is a medium-strength mortar that provides a good balance of strength and workability for bricklaying projects.


What is the sand to cement mix ratio for Type N masonry cement?

1:5 (cement:sand) is the best ratio


What is the difference between type s and type n mortar?

S contains 2 parts portland cement, 1 part hydrated lime and 9 parts sand, and yields maximum flexural strength to fight wind, soil pressure or earthquakes. Type N is a medium compressive-strength mortar made of 1 part portland cement, 1 part lime and 6 parts sand. Type N is recommended for most exterior, above-grade walls exposed to severe weather, including chimneys. Type S mortar is recommended for AT grade or below grade exterior applications. Type N is recommended for above grade apps.


What type of mortar is best suited for building a stone wall?

Type N mortar is typically the best choice for building a stone wall. It provides a good balance of strength and flexibility, making it suitable for the varying sizes and shapes of stones used in the wall.


Can you use cinder block mortar for red bricks?

Yes, you can use cinder block mortar for red bricks, as both require similar types of mortar for bonding. However, it's best to choose a mortar specifically designed for brick, such as Type N or S mortar, to ensure optimal performance and durability. Cinder block mortar may have different properties that could affect the aesthetic and structural qualities of the brickwork. Always consider the specific application and environmental conditions when selecting mortar.


What is the ratio of 10N 210?

The ratio is N:21


You are the metal which is n important element in mortar plaster and portland cement?

Finite


How do you spell mixing?

That is the correct spelling of the word mixing(commingling, adding together).


What is the common ratio of the geometric progression?

The common ratio is the ratio of the nth term (n > 1) to the (n-1)th term. For the progression to be geometric, this ratio must be a non-zero constant.


What is the ratio between the number of hydrogen atoms and the number of oxygen in a disaccharide?

The ratio of oxygen to hydrogen in a polysaccharide is independent of the type of monosaccharides that it consists of. The ratio does not depend on the number of carbons in the monosaccharide. Thus, for all polysaccharide compounds the ratio of hydrogen to oxygen is 2:1.