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A feasible solution that minimizes (or maximizes) the objective function is called an optimal solution. In mathematics, conventional optimization problems are usually stated in terms of minimization. A local minimum x* is defined as an element for which there exists some δ > 0 such that
In 2024, NTA reduced JEE Main syllabus to reduce pressure and stress among students and to meet the same syllabus structure as that of the NCERT revised books. In the latest 2025 Information brochure, the syllabus remained same as of 2024 but NTA reduced the number of question in Section - B of Paper - 1 (B.E/B-Tech) from 5 out 10 questions (to ...
In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns. A solution is an assignment of ...
India – National Council Of Educational Research and Training (NCERT) digitized all its textbooks from 1st standard to 12th standard. The textbooks are available online for free. Central Institute of Educational Technology (CIET), a constituent Unit of NCERT, digitized more than thousand audio and video programmes. All the educational AV ...
The field of numerical analysis predates the invention of modern computers by many centuries. Linear interpolation was already in use more than 2000 years ago. Many great mathematicians of the past were preoccupied by numerical analysis, [5] as is obvious from the names of important algorithms like Newton's method, Lagrange interpolation polynomial, Gaussian elimination, or Euler's method.
Exams at the remaining levels (also called standard, grade or class, denoting the years of schooling) are conducted by the schools. National Council of Educational Research and Training (NCERT): The NCERT is the apex body located in New Delhi, India's capital city.
Problems 1, 2, 5, 6, [g] 9, 11, 12, 15, 21, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis), 13 and 16 [h] unresolved, and 4 and 23 as too vague to ever be described as solved. The withdrawn 24 would also be in this class.
Given that the problem of high textbook prices is linked to the "broken" economics of the market, requiring publishers to disclose textbook prices to faculty is a solution pursued by a number of legislatures. [23] By inserting price into sales interactions, this regulation will supposedly make the economic forces operate more normally.