Two to one
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.
5/N, where N is the unspecified number.
n must be the square of a rational number. That is, n must be either a square number or the ratio of two square numbers. For example, n = 16 then sqrt(n) = 4 Or n = 81/169 then sqrt(n) = 9/13
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)
all perfect square numbers
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
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.
1:5 (cement:sand) is the best ratio
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.
The ratio is N:21
Finite
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.
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.
5/N, where N is the unspecified number.
Pick any non-zero integer, n. Then A*n and B*n are an equivalent ratio.
n/50
Masonry cement is basically normal Portland cement with added ingredients to provide the plasticity required for masonry work. Masonry cements are pre-packaged primarily as either Type N Masonry Cement or Type S Masonry Cement. Other types are available for specific circumstances. Type N Masonry mortar is recommended for general use in building non-load bearing walls as well as for exterior veneer walls not requiring high strength. Type S Masonry mortar is recommended for use in all masonry below grade as well as in building exterior load bearing walls requiring high strength. DO NOT use masonry cement for concrete jobs