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1024 is a power of two: 2 10 (2 to the tenth power). [1] It is the nearest power of two from decimal 1000 and senary 10000 6 (decimal 1296). It is the 64th quarter square. [2] [3] 1024 is the smallest number with exactly 11 divisors (but there are smaller numbers with more than 11 divisors; e.g., 60 has 12 divisors) (sequence A005179 in the OEIS).
Archimedes' figure with a = 3 / 4 In mathematics, the infinite series 1 / 4 + 1 / 16 + 1 / 64 + 1 / 256 + ⋯ is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. [1]
The Athlon 64 X2 is the first native dual-core desktop central processing unit (CPU) designed by Advanced Micro Devices (AMD). It was designed from scratch as native dual-core by using an already multi-CPU enabled Athlon 64, joining it with another functional core on one die, and connecting both via a shared dual-channel memory controller/north bridge and additional control logic.
For example, using a compass, straightedge, and a piece of paper on which we have the parabola y=x 2 together with the points (0,0) and (1,0), one can construct any complex number that has a solid construction. Likewise, a tool that can draw any ellipse with already constructed foci and major axis (think two pins and a piece of string) is just ...
OC-48 is a network line with transmission speeds of up to 2488.32 Mbit/s (payload: 2405.376 Mbit/s (2.405376 Gbit/s); overhead: 82.944 Mbit/s). With relatively low interface prices, with being faster than OC-3 and OC-12 connections, and even surpassing gigabit Ethernet , OC-48 connections are used [ when? ] as the backbones of many regional ISPs.
The first 3 powers of 2 with all but last digit odd is 2 4 = 16, 2 5 = 32 and 2 9 = 512. The next such power of 2 of form 2 n should have n of at least 6 digits. The only powers of 2 with all digits distinct are 2 0 = 1 to 2 15 = 32 768 , 2 20 = 1 048 576 and 2 29 = 536 870 912 .
The monic irreducible polynomial x 8 + x 4 + x 3 + x 2 + 1 over GF(2) is primitive, and all 8 roots are generators of GF(2 8). All GF(2 8 ) have a total of 128 generators (see Number of primitive elements ), and for a primitive polynomial, 8 of them are roots of the reducing polynomial.
Let c 0, c 1, c 2, ... be a finite or infinite sequence of real numbers.Suppose l < r and the following conditions hold:. If r = l+1 the numbers c l and c r have opposite signs.; If r ≥ l+2 the numbers c l+1, ..., c r−1 are all zero and the numbers c l and c r have opposite signs.