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Mathematical Analysis
Mathematical analysis is, simply put, the study of limits and how they can be manipulated. Starting with an exhaustive study of sets, mathematical analysis then continues on to the rigorous development of calculus, differential equations, model theory, and topology. Topics including real and complex analysis, differential equations and vector calculus can be discussed in this category.
2,575 Questions
How are Roman numerals written from 1 to 101?
I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1000
Also, if a numeral comes two or three times in a row, you add them together (for example II = 1 + 1 = 2; III = 3). Note that you can never have more than 3 in a row (so IIII is not proper). If a larger numeral is followed by a smaller numeral just add (like VI = 5 + 1 = 6). Finally if a smaller number comes before a larger number you subtract (like IV = 5 - 1 = 4). 1 I 2 II 3 III 4 IV 5 V 6 VI 7 VII 8 VIII 9 IX 10 X 11 XI 12 XII 13 XIII
14 XIV 15 XV 16 XVI 17 XVII 18 XVII 19 XIX 20 XX 21 XXI 22 XXII 23 XXII 24 XXIV 25 XXV 26 XXV
27 XXVII 28 XXVIII 29 XXIX 30 XXX 31 XXXI 32 XXXII
33 XXXIII
34 XXXIV
35 XXXV
36 XXXVI
37 XXXVII
38 XXXVIII
39 XXXIX
40 XL
41 XLI
42 XLII
43 XLIII
44 XLIV
45 XLV
46 XLVI
47 XLVII
48 XLVIII
49 XLIX
50 L 60 LX 70 LXX 80 LXXX 90 XC 100 C 101 CI
Recessive allele is a trait that doesn't show in one's phenotype (observable trait) if there is a dominant allelle present. Only when you inherit a recessive allele from both parents (aa for example and not Aa) does the trait show in your phenotype.
(80 + 86 + x)/3 = 86
166 + x = 258
x = 92
Which unit would you use to measure the length of measuring tape?
You can use whatever units are printed on the measuring tape - just read the highest value off the tape. Then you can convert it to whatever units you want.Other than that - for instance, if you want to confirm whether the tape is accurate, measuring with ANOTHER measuring tape or some other method - I would use meters.
How do you figure cubic inches in round steel rods?
Cubic inches = pi*r^2*L wherer = radius of rod = 1/2*diameter and L = length, both measured in inches.
What is an equation for s directly proportional relationship that starts with y?
It is a straight line equation in the form of: y = mx+b whereas 'm' is the slope and 'b' is the y intercept
It may, sometimes be referred to as an intervalalthough that term is also used for subsets of rational numbers or integers.
What is equivalent sets and their examples?
Two sets are equivalent if there exists a one-to-one mapping from the elements of one set to the other. It is quite easy to see that for finite sets this requires the two sets to have the same number of distinct elements.
So, for example, C = {Red, Blue, White, Red, Red} and N = {2, 4, 5} are equivalent sets. One possible mapping is
Blue -> 1
Red -> 2
White -> 3
It can get confusing when you get to infinite sets. Consider the set of all positive integers, N, and all positive even numbers, E. You might think that they cannot be equivalent because the set N contains all of E and it also has all odd number in it.
However, the mapping: f, from N to E given by f(x) = 2x is one-to-one and therefore the two sets are equivalent.
How many feet do you stay behind the car in front of you in city traffic at 20 mph?
You would follow at one second for every ten feet of vehicle length. your average car length is not over twenty feet long and that extra time added on plus one extra second for safety, for a grand total o f three seconds or thirty feet of following distance, with good tires,reaction time,road surface,stoppind distance would be 25.5 feet.
How long will it take to count to a billion dollars by counting a dollar per second?
1 billion seconds
16666666.67 minutes
277777.7778 hours
11574.07407 days
What information would be necessary to determine the speed of an object?
The distance it travels and how long it took to travel that far. To calculate speed you do (total distance traveled)/(total time taken)
Why laplace transform was used?
Ans:
because of essay calucation in s domine rather than time domine and we take inverse laplace transfom
Which whole numbers can 67 and 68 be divided by?
The factors of 67 are: 1, 67
The factors of 68 are: 1, 2, 4, 17, 34, 68
What is the divisible numbers for 6944?
1 x 7 x 31 x 32 = 6944; 32 has factors of 1, 2, 4, 8, 16 and 32.
What is rational numbers are quotient of any two integers?
If a number can be expressed as the quotient of two numbers (a ÷ b) and b is not zero, then it is a rational number.
What is a diagonal of a polyhedron?
A diagonal of a polyhedron is a line between any two vertices except outer vertices.
How does woodworking involve math?
You have to measure with a ruler and find the perimeter, area, and circumference of anything your measureing.
What does the word mode and range mean in terms of maths?
In statistics the mode is the value that is observed most often. The range is the biggest observed value minus the smallest.
