Introduction to Discrete Mathematics
... So if I have $X today, One year later I will have $bX Therefore, to have $1 after one year, It is enough to have ...
... So if I have $X today, One year later I will have $bX Therefore, to have $1 after one year, It is enough to have ...
Lec 2 Notes
... and decide which stack is larger. This is pretty convincing since we have a sense of larger and smaller and we know how to count. But obviously it would be a bit tedious to do mathematics that way. That is why mathematicians have tried to reduce arithmetic to very simple concepts that are considered ...
... and decide which stack is larger. This is pretty convincing since we have a sense of larger and smaller and we know how to count. But obviously it would be a bit tedious to do mathematics that way. That is why mathematicians have tried to reduce arithmetic to very simple concepts that are considered ...
6 Fibonacci Numbers
... FIBR(N) is the N’th Fibonacci number. if n == 1 | n == 2 f = 1; return end f = fibr(n-1) + fibr(n-2); Note the two key characteristic features of recursive functions: one or more recursive calls to the function, and a test for deciding when to terminate the recursion. In this case, termination occur ...
... FIBR(N) is the N’th Fibonacci number. if n == 1 | n == 2 f = 1; return end f = fibr(n-1) + fibr(n-2); Note the two key characteristic features of recursive functions: one or more recursive calls to the function, and a test for deciding when to terminate the recursion. In this case, termination occur ...
Section 2
... **Negative divided by a negative is positive. **Positive divided by a negative is negative. **Negative divided by a positive is negative. Examples: ...
... **Negative divided by a negative is positive. **Positive divided by a negative is negative. **Negative divided by a positive is negative. Examples: ...
Chapter 2: Measurements
... State the appropriate units for measuring length, volume, mass, density, temperature and time in the metric system. Determine the number of significant figures in a measurement or calculation. Calculate the percent error in a measurement. Calculate density given the mass and volume, the mass ...
... State the appropriate units for measuring length, volume, mass, density, temperature and time in the metric system. Determine the number of significant figures in a measurement or calculation. Calculate the percent error in a measurement. Calculate density given the mass and volume, the mass ...
Algebra 1
... Commutative Properties – we can change the order when adding or multiplying without changing the sum or product. Equivalent Expressions – expressions such as x + 2 and 2 + x, which always result in the same number when we substitute any value for their variables. ...
... Commutative Properties – we can change the order when adding or multiplying without changing the sum or product. Equivalent Expressions – expressions such as x + 2 and 2 + x, which always result in the same number when we substitute any value for their variables. ...
Ezio Fornero, Infinity in Mathematics. A Brief Introduction
... As we can see, each point of the shorter segment corresponds to one and only one point of the longer, therefore now it seems both segments contain the same number of points. Such paradoxes and the difficulties involved in defining coherently the concept of infinite quantity induced mathematicians to ...
... As we can see, each point of the shorter segment corresponds to one and only one point of the longer, therefore now it seems both segments contain the same number of points. Such paradoxes and the difficulties involved in defining coherently the concept of infinite quantity induced mathematicians to ...
Dividing Signed Numbers
... Negative numbers - numbers less than 0 Positive numbers - numbers greater than 0 Signed numbers - the collection of numbers that included positive numbers, negative numbers and zero Integers - consists of zero, the natural numbers, and the opposites of the natural numbers. Absolute Value - the dista ...
... Negative numbers - numbers less than 0 Positive numbers - numbers greater than 0 Signed numbers - the collection of numbers that included positive numbers, negative numbers and zero Integers - consists of zero, the natural numbers, and the opposites of the natural numbers. Absolute Value - the dista ...
Arithmetic
Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, ""number"") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.