Fraction Tips
... OR - Divide one of the denominators by the GCF and multiply the answer by the other denominator (9/3=3, 3*12=36) Rename the fractions to use the Least Common Denominator(2/9=8/36, 3/12=9/36) The result is 8/36 + 9/36 Add the numerators and put the sum over the LCD = 17/36 Simplify the fraction if po ...
... OR - Divide one of the denominators by the GCF and multiply the answer by the other denominator (9/3=3, 3*12=36) Rename the fractions to use the Least Common Denominator(2/9=8/36, 3/12=9/36) The result is 8/36 + 9/36 Add the numerators and put the sum over the LCD = 17/36 Simplify the fraction if po ...
Partitions and the Fermi-Dirac Distribution
... energy of the system has been increased. This powerful tool derives from the laws of statistical mechanics (see, e.g., Landau and Lifchitz [3]). But this result does not apply to small isolated systems. Arnaud et al. [2] propose to compute the exact distribution in such systems by direct enumeration ...
... energy of the system has been increased. This powerful tool derives from the laws of statistical mechanics (see, e.g., Landau and Lifchitz [3]). But this result does not apply to small isolated systems. Arnaud et al. [2] propose to compute the exact distribution in such systems by direct enumeration ...
n - Smarandache Notions Journal
... I have found some new prime numbers using the PROTH program of Yves Gallot. This program in based on the following theorem: Proth Theorem (1878): Let N = k ⋅ 2 n + 1 where k < 2 n . If there is an integer number a so that N −1 a 2 ...
... I have found some new prime numbers using the PROTH program of Yves Gallot. This program in based on the following theorem: Proth Theorem (1878): Let N = k ⋅ 2 n + 1 where k < 2 n . If there is an integer number a so that N −1 a 2 ...
Formula Sheet 2
... (a×b)m = am × bm (a/b)m = am/ bm (am)n = amn a0 = 1 (a/b)-m = (b/a)m 17. Measure of central tendency: For simple distribution Mean = sum of numbers Number of numbers Mode = The most frequent number Median = the middle number (if n is odd) Sum of two middle numbers/ 2 (if n is even) For frequency dis ...
... (a×b)m = am × bm (a/b)m = am/ bm (am)n = amn a0 = 1 (a/b)-m = (b/a)m 17. Measure of central tendency: For simple distribution Mean = sum of numbers Number of numbers Mode = The most frequent number Median = the middle number (if n is odd) Sum of two middle numbers/ 2 (if n is even) For frequency dis ...
Notes - Little Chute Area School District
... When We Don’t Know the Value of a Number Barbara weighs 60 kg and is on a diet of 1600 calories per day, of which 850 are used automatically by basal metabolism. She spends about 15 cal/kg/day times her weight doing exercise. If 1 kg of fat contains 10,000 calories and we assume that the storage of ...
... When We Don’t Know the Value of a Number Barbara weighs 60 kg and is on a diet of 1600 calories per day, of which 850 are used automatically by basal metabolism. She spends about 15 cal/kg/day times her weight doing exercise. If 1 kg of fat contains 10,000 calories and we assume that the storage of ...
Central Processing Unit
... • Addition: standard • Overflow: when the result needs more bits to be represented • Monitor MSB: if it changes there may be an overflow When Pos + Pos or Neg + Neg the sign bit should not change: if it does there is an overflow ...
... • Addition: standard • Overflow: when the result needs more bits to be represented • Monitor MSB: if it changes there may be an overflow When Pos + Pos or Neg + Neg the sign bit should not change: if it does there is an overflow ...
Unit 1 Notes: Rational Numbers and Decimal Expansion
... Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the rules we learn for fractions will work for decimals. The only difference is the denominators for decimals are powers of 10; i.e., 101, 102, 103, 104, etc.... Students normall ...
... Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the rules we learn for fractions will work for decimals. The only difference is the denominators for decimals are powers of 10; i.e., 101, 102, 103, 104, etc.... Students normall ...
Addition
Addition (often signified by the plus symbol ""+"") is one of the four elementary, mathematical operations of arithmetic, with the others being subtraction, multiplication and division.The addition of two whole numbers is the total amount of those quantities combined. For example, in the picture on the right, there is a combination of three apples and two apples together; making a total of 5 apples. This observation is equivalent to the mathematical expression ""3 + 2 = 5"" i.e., ""3 add 2 is equal to 5"".Besides counting fruits, addition can also represent combining other physical objects. Using systematic generalizations, addition can also be defined on more abstract quantities, such as integers, rational numbers, real numbers and complex numbers and other abstract objects such as vectors and matrices.In arithmetic, rules for addition involving fractions and negative numbers have been devised amongst others. In algebra, addition is studied more abstractly.Addition has several important properties. It is commutative, meaning that order does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting; addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.Performing addition is one of the simplest numerical tasks. Addition of very small numbers is accessible to toddlers; the most basic task, 1 + 1, can be performed by infants as young as five months and even some non-human animals. In primary education, students are taught to add numbers in the decimal system, starting with single digits and progressively tackling more difficult problems. Mechanical aids range from the ancient abacus to the modern computer, where research on the most efficient implementations of addition continues to this day.