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TI-nSpire Emulator (CAS and non-CAS) 0.26 GTK March 23, 2010: TI-nspire CAS: Windows, Linux Freeware: TiEmu 3.03 May 30, 2009: TI-89, TI-89 Titanium, TI-92, TI-92+, Voyage 200: Windows, Linux, OS X GPL: TilEm 2.0 June 8, 2012: TI-73, TI-82, TI-83, TI-83+, TI-83+ SE, TI-84+, TI-84+ SE, TI-85, TI-86 Linux Open source: Virtual TI 2.5b5 March 19, 2000
Usb8x is a flash application for the TI-84 Plus and TI-84 Plus SE graphing calculators. It is a driver that interfaces with the calculator's built in USB On-The-Go port, allowing developers to easily create their own USB device drivers for use on the calculators.
TI-84 Plus C Silver Edition: Zilog Z80 @ 15 MHz 128 KB of RAM (21 KB user accessible), 4 MB of Flash ROM (3.5 MB user accessible) 320×240 pixels 26×10 characters (large font) 7.5 × 3.3 × 0.9: No 2013 150 Allowed Allowed TI-84 Plus CE: Zilog eZ80 @ 48 MHz 256 KB of RAM (154 KB user accessible), 4 MB of Flash ROM (3 MB user accessible)
The number of representations of a natural number n as the sum of four squares of integers is denoted by r 4 (n). Jacobi's four-square theorem states that this is eight times the sum of the divisors of n if n is odd and 24 times the sum of the odd divisors of n if n is even (see divisor function), i.e.
Legendre's three-square theorem states which numbers can be expressed as the sum of three squares; Jacobi's four-square theorem gives the number of ways that a number can be represented as the sum of four squares. For the number of representations of a positive integer as a sum of squares of k integers, see Sum of squares function.
The number of ways to write a natural number as sum of two squares is given by r 2 (n). It is given explicitly by = (() ()) where d 1 (n) is the number of divisors of n which are congruent to 1 modulo 4 and d 3 (n) is the number of divisors of n which are congruent to 3 modulo 4. Using sums, the expression can be written as:
Therefore, the theorem states that it is expressible as the sum of two squares. Indeed, 2450 = 7 2 + 49 2. The prime decomposition of the number 3430 is 2 · 5 · 7 3. This time, the exponent of 7 in the decomposition is 3, an odd number. So 3430 cannot be written as the sum of two squares.
The final version is Derive 6.1 for Windows. Since Derive required comparably little memory, it was suitable for use on older and smaller machines. It was available for the DOS and Windows platforms and served as an inspiration for the computer algebra system in certain TI pocket calculators. [3] [4]