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Since then, four different programmes are offered. [3] They are One Year Programme (PST, short for Program Satu Tahun in Malay), Two Year Programme (PDT, short for Program Dua Tahun in Malay), Technical Programme and Accounting Programme. Mathematics, Physics, Biology, Chemistry and Informatics Science subjects are conducted in English. [4]
For instance, the first counterexample must be odd because f(2n) = n, smaller than 2n; and it must be 3 mod 4 because f 2 (4n + 1) = 3n + 1, smaller than 4n + 1. For each starting value a which is not a counterexample to the Collatz conjecture, there is a k for which such an inequality holds, so checking the Collatz conjecture for one starting ...
Latihan kejiwaan (or simply latihan) means "spiritual exercise" or "training of the spirit". [4] This exercise is not thought about, learned or trained for; it is unique for each person and the ability to 'receive' it is passed on by being in the presence of another person who already practises it at the 'opening'.
A necessary (but not sufficient) condition for solvability is that n is not divisible by 4 or by a prime of form 4k + 3. [note 3] Thus, for example, x 2 − 3 y 2 = −1 is never solvable, but x 2 − 5 y 2 = −1 may be. [27] The first few numbers n for which x 2 − n y 2 = −1 is solvable are with only one trivial solution: 1
2 Corinthians 4 is the fourth chapter of the Second Epistle to the Corinthians in the New Testament of the Christian Bible. It is authored by Paul the Apostle and Timothy (2 Corinthians 1:1) in Macedonia in 55–56 CE. [1] Twice in this chapter (verses 1 and 16) this sentence occurs: "Therefore, we do not lose heart". [2]
From January 2008 to December 2012, if you bought shares in companies when K. Ram Shriram joined the board, and sold them when he left, you would have a 2.1 percent return on your investment, compared to a -2.8 percent return from the S&P 500.
For example, let a denote a multiplicative generator of the group of units of F 4, the Galois field of order four (thus a and a + 1 are roots of x 2 + x + 1 over F 4. Because (a + 1) 2 = a, a + 1 is the unique solution of the quadratic equation x 2 + a = 0. On the other hand, the polynomial x 2 + ax + 1 is irreducible over F 4, but it splits ...
A packing of PG(3, 2) is a partition of the 35 lines into 7 disjoint spreads of 5 lines each, and corresponds to a solution for all seven days. There are 240 packings of PG(3, 2), that fall into two conjugacy classes of 120 under the action of PGL(4, 2) (the collineation group of the space); a correlation interchanges these two classes. [6]