Cardinal numbers: Definition‚ Examples Cardinal numbers We know that‚ the relation in sets defined by A~ B is an equivalence relation. Hence by fundamental theorem on equivalence relation‚ all sets are partitioned into disjoint classes of equivalent sets. Thus for any set A‚ equivalence class of A‚ [A] = { B | B ~ A } Result: - (1) [A] = [B] or [A] ∩ [B] = ∅ ‚ that is for any two sets‚ either they have same equivalence classes or totally disjoint equivalence classes.
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operating time is less than that of the punch press. i.e. 150 + 0.5*N ≤ 50 + N => 0.5*N ≥ 100 => N ≥ 200 => N ≥ 200 boards Thus‚ for orders above 200 boards‚ the CNC router should be used as it will take less time and hence‚ would produce more number of boards. 3) Drilling Operation (Image Tranfer) – Break Even Analysis Let the optimal order size be N boards a) Using Manual drill: Total Operation Time = Setup time + Run time = 15 + 0.08*500*N = 15 + 40N b) Using CNC drill: Total
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Fibonacci number From Wikipedia‚ the free encyclopedia A tiling with squares whose side lengths are successive Fibonacci numbers An approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1‚ 1‚ 2‚ 3‚ 5‚ 8‚ 13‚ 21‚ and 34. In mathematics‚ the Fibonacci numbers or Fibonacci series or Fibonacci sequence are the numbers in the following integer sequence:[1][2] 0‚\;1‚\;1‚\;2‚\;3
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224 square units‚ find the value of ft. (3) O) robrhor {d +S o ant r c lo o{‚r-r.o t 5e- C eyl/lrrr*- (o‚ o ) -T-B (-;:‚) -iifAeb1ry q4:’LtL T9 Tl r e.a[ar3ar.*o.r$ -’. 9 + 2lr = l\ =) 2[r- aS st’ lt .?- LL z2’S -l- 4. The complex number z is given by ‚=P*2i 3+ pi where (a) p is in Express integer. z inthe form a+ bi where a and b xe real. Give your answer in its simplest form in terms ofp. (4) (b) Given that arg(z): 6‚ where tan? : 1 find the possible values ofp.
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NUMBER SYSTEM Definition It defines how a number can be represented using distinct symbols. A number can be represented differently in different systems‚ for instance the two number systems (2A) base 16 and (52) base 8 both refer to the same quantity though the representations are different. When we type some letters or words‚ the computer translates them in numbers as computers can understand only numbers. A computer can understand positional number system where there are only a few symbols
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Pi has always been an interesting concept to me. A number that is infinitely being calculated seems almost unbelievable. This number has perplexed many for years and years‚ yet it is such an essential part of many peoples lives. It has become such a popular phenomenon that there is even a day named after it‚ March 14th (3/14) of every year! It is used to find the area or perimeter of circles‚ and used in our every day lives. Pi is used in things such as engineering and physics‚ to the ripples created
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mathematical operations must be performed to correctly simplify an expression. The order of operations is a rule that always applies to mathematical problems. It includes addition‚ subtraction‚ multiplication and division as well as grouping of numbers (such as in parentheses and powers). It gives a definite order of how to do a problem involving multiple operations. Without these cut and dry rules that the order of operations spells out‚ you would potentially be able to look at an equation and
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IX Mathematics Chapter 1: Number Systems Chapter Notes Key Concepts 1. 2. 3. 4. 5. Numbers 1‚ 2‚ 3…….‚ which are used for counting are called Natural numbers and are denoted by N. 0 when included with the natural numbers form a new set of numbers called Whole number denoted by W -1‚-2‚-3……………..- are the negative of natural numbers. The negative of natural numbers‚ 0 and the natural number together constitutes integers denoted by Z. The numbers which can be represented in the form of p/q where
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3 is a number‚ numeral‚ and glyph. It is the natural number following 2 and preceding 4. In mathematics Three is approximately π when doing rapid engineering guesses or estimates. The same is true if one wants a rough-and-ready estimate of e‚ which is actually approximately 2.71828. Three is the first odd prime number‚ and the second smallest prime. It is both the first Fermat prime and the first Mersenne prime‚ the only number that is both‚ as well as the first lucky prime. However‚ it is
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I. Muhammad (pbuh) prophesised in Bhavishya Purana According to Bhavishya Purana in the Prati Sarag Parv III Khand 3 Adhay 3 Shloka 5 to 8. "A malecha (belonging to a foreign country and speaking a foreign language) spiritual teacher will appear with his companions. His name will be Mohammad. Raja (Bhoj) after giving this Maha Dev Arab (of angelic disposition) a bath in the Panchgavya and the Ganga water (i.e. purifying him of all sins) offered him the present of his sincere devotion and showing
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