twinkleˈtwɪŋ kəl
twinkle (v)
- present
- twinkles
- past
- twinkled
- past participle
- twinkled
- present participle
- twinkling
twinkle (n)
- plural
- twinkles
English Definitions:
twinkle, scintillation, sparkling (noun)
a rapid change in brightness; a brief spark or flash
sparkle, twinkle, spark, light (verb)
merriment expressed by a brightness or gleam or animation of countenance
"he had a sparkle in his eye"; "there's a perpetual twinkle in his eyes"
flash, blink, wink, twinkle, winkle (verb)
gleam or glow intermittently
"The lights were flashing"
twinkle, winkle, scintillate (verb)
emit or reflect light in a flickering manner
"Does a constellation twinkle more brightly than a single star?"
twinkle (Noun)
a sparkle or glimmer of light
twinkle (Noun)
a sparkle of delight in the eyes.
twinkle (Noun)
a flitting movement
twinkle (Verb)
to shine with a flickering light; to glimmer
twinkle (Verb)
to be bright with delight
twinkle (Verb)
to bat, blink or wink the eyes
twinkle (Verb)
to flit to and fro
TWINKLE
TWINKLE is a hypothetical integer factorization device described in 1999 by Adi Shamir and purported to be capable of factoring 512-bit integers. The name is an acronym of "The Weizmann Institute Key Locating Engine". It is also a pun on the twinkling LEDs used in the device. The goal of TWINKLE is to implement the sieving step of the Number Field Sieve algorithm, which is the fastest known algorithm for factoring large integers. The sieving step, at least for 512-bit and larger integers, is the most time consuming step of NFS. It involves testing a large set of numbers for B-'smoothness', i.e., absence of a prime factor greater than a specified bound B. What is remarkable about TWINKLE is that it is not a purely digital device. It gets its efficiency by eschewing binary arithmetic for an "optical" adder which can add hundreds of thousands of quantities in a single clock cycle. The key idea used is "time-space inversion". Conventional NFS sieving is carried out one prime at a time. For each prime, all the numbers to be tested for smoothness in the range under consideration which are divisible by that prime have their counter incremented by the logarithm of the prime. TWINKLE, on the other hand, works one candidate smooth number at a time. There is one LED corresponding to each prime smaller than B. At the time instant corresponding to X, the set of LEDs glowing corresponds to the set of primes that divide X. This can be accomplished by having the LED associated with the prime p glow once every p time instants. Further, the intensity of each LED is proportional to the logarithm of the corresponding prime. Thus, the total intensity equals the sum of the logarithms of all the prime factors of X smaller than B. This intensity is equal to the logarithm of X if and only if X is B-smooth.
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"twinkle." Kamus.net. STANDS4 LLC, 2024. Web. 22 Oct. 2024. <https://www.kamus.net/english/twinkle>.
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