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None of the countries listed above mandate identity documents, but they have de facto equivalents since these countries still require proof of identity in...

combinatorial proof is often used to mean either of two types of mathematical proof: A proof by double counting. A combinatorial identity is proven by...

all other identity documents. By itself, the birth certificate is usually only considered proof of citizenship but not proof of identity, since it is...

one cannot have such proof, because all of one's perceptions could be false (such as under the evil demon or simulated reality hypotheses). But one at...

smart identity card – known as a Smart ID Card – replaces the old green bar-coded identity book. Both are identity documents that serve as proof of a person's...

In mathematics, Pascal's rule (or Pascal's formula) is a combinatorial identity about binomial coefficients. It states that for positive natural numbers...

definition of binomial coefficients. Vandermonde's identity also admits a combinatorial double counting proof, as follows. Suppose a committee consists of m men...

Proof of identity (PoID) is a consensus protocol for permission-less blockchains, in which each uniquely identified individual receives one equal unit...

In mathematics, a proof without words (or visual proof) is an illustration of an identity or mathematical statement which can be demonstrated as self-evident...

mathematical proofs for some properties of addition of the natural numbers: the additive identity, commutativity, and associativity. These proofs are used...

Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions...

a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment...

every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference...

joint new proof (Rogers & Ramanujan 1919). Issai Schur (1917) independently rediscovered and proved the identities. The Rogers–Ramanujan identities are G...

used in a proof that π is transcendental, which implies the impossibility of squaring the circle. Euler's identity is often cited as an example of deep mathematical...

quick proof of Cassini's identity may be given (Knuth 1997, p. 81) by recognising the left side of the equation as a determinant of a 2×2 matrix of Fibonacci...

of India who have reached the age of 18. It primarily serves as an identity proof for Indian citizens while casting their ballot in the country's municipal...

alternative proof of identity, such as a driving licence is acceptable. Privacy International said that "virtually no common law country has a card". One noticeable...

loss of identity as related to individual distinct personality states, loss of one's subjective experience of the passage of time, and degradation of a sense...

In cryptography, a zero-knowledge proof is a protocol in which one party (the prover) can convince another party (the verifier) that some given statement...