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The equivalence class of (a, b) contains either (a – b, 0) if a ≥ b, or (0, b – a) otherwise. If n is a natural number, one can denote +n the equivalence class of (n, 0), and by –n the equivalence class of (0, n). This allows identifying the natural number n with the equivalence class +n. Addition of ordered pairs is done component-wise:
Example of addition with carry. The black numbers are the addends, the green number is the carry, and the blue number is the sum. In the rightmost digit, the addition of 9 and 7 is 16, carrying 1 into the next pair of the digit to the left, making its addition 1 + 5 + 2 = 8. Therefore, 59 + 27 = 86.
The class number of a number field is by definition the order of the ideal class group of its ring of integers. Thus, a number field has class number 1 if and only if its ring of integers is a principal ideal domain (and thus a unique factorization domain). The fundamental theorem of arithmetic says that Q has class number 1.
The most common type of collaborative method of teaching in a class is classroom discussion. It is also a democratic way of handling a class, where each student is given equal opportunity to interact and put forth their views. A discussion taking place in a classroom can be either facilitated by a teacher or by a student.
A typical example of carry is in the following pencil-and-paper addition: 1 27 + 59 ---- 86 7 + 9 = 16, and the digit 1 is the carry. The opposite is a borrow, as in −1 47 − 19 ---- 28 Here, 7 − 9 = −2, so try (10 − 9) + 7 = 8, and the 10 is got by taking ("borrowing") 1 from the next digit to the left. There are two ways in which ...
A 52-week curriculum for a medical school, showing the courses for the different levels. In education, a curriculum (/ k ə ˈ r ɪ k j ʊ l ə m /; pl.: curriculums or curricula / k ə ˈ r ɪ k j ʊ l ə /) is the totality of student experiences that occur in an educational process.
Continuous and Comprehensive Evaluation (CCE) was a process of assessment, mandated by the Right to Education Act, of India in 2009.This approach to assessment was introduced by state governments in India, as well as by the Central Board of Secondary Education in India, for students of sixth to tenth grades and twelfth in some schools.
Elon Reeve Musk (/ ˈ iː l ɒ n / EE-lon; born June 28, 1971) is a businessman known for his key roles in Tesla, Inc., SpaceX, and Twitter (which he rebranded as X).Since 2025, he has been a senior advisor to United States president Donald Trump and de facto head of the Department of Government Efficiency (DOGE).
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