... for the decomposition numbers of type Bn can be extracted from results of Bóna, Bousquet, Labelle and Leroux in [12]. The type Dn decomposition numbers are computed in Section 6. The approach that we follow is, essentially, the approach of Goulden and Jackson in [23]: we translate the counting prob ...
Full text
... ε1 (n) = ε2 (bnµc) = 1 and ε1 (n − 1) = ε2 (n) = ε2 (n − 1) = ε1 (bnµc) = 0 and (2.9), (2.10) by (1) from Lemma 2.2. Moreover, for n = F2k we have ε2 (n) = ε2 (n − 1) = ε1 (bnµc) = 0 and (2.9) again by (1). On the other hand, for n = F2k+1 it follows ε1 (n) = ε1 (n − 1) = ε2 (bnµc) = 0 and (2.10). I ...
... ε1 (n) = ε2 (bnµc) = 1 and ε1 (n − 1) = ε2 (n) = ε2 (n − 1) = ε1 (bnµc) = 0 and (2.9), (2.10) by (1) from Lemma 2.2. Moreover, for n = F2k we have ε2 (n) = ε2 (n − 1) = ε1 (bnµc) = 0 and (2.9) again by (1). On the other hand, for n = F2k+1 it follows ε1 (n) = ε1 (n − 1) = ε2 (bnµc) = 0 and (2.10). I ...
Modular Numbers - Department of Computer Sciences
... always has a solution: ba−1 where a−1 is an integer mod n. On the other hand, when a and n are not relatively prime the linear congruence equation ax = b mod n may or may not have a solution. In this case, a solution exists if and only if b is a multiple of the greatest common divisor of a and n. ...
... always has a solution: ba−1 where a−1 is an integer mod n. On the other hand, when a and n are not relatively prime the linear congruence equation ax = b mod n may or may not have a solution. In this case, a solution exists if and only if b is a multiple of the greatest common divisor of a and n. ...
Math Is Fun
... around 1000 BC and it is fascinating to trace mathematical development within that culture. There are periods of rapid advance, periods when a certain level was maintained, and periods of decline. The first thing to understand about ancient Chinese mathematics is the way in which it differs from Gre ...
... around 1000 BC and it is fascinating to trace mathematical development within that culture. There are periods of rapid advance, periods when a certain level was maintained, and periods of decline. The first thing to understand about ancient Chinese mathematics is the way in which it differs from Gre ...
A-level Mathematics Text Book Text book: Further Pure Unit
... Note that when tan 3, θ could equal 2π or π . However, the sketch clearly shows ...
... Note that when tan 3, θ could equal 2π or π . However, the sketch clearly shows ...
IOSR Journal of Mathematics (IOSR-JM)
... In a triangle ABC, let a, b, and c be the sides opposite to corresponding vertices then sign(x) = -1 if x < 0 , sign(0) = 0, and sign(x) =1 if x > 0 As a result for angle C = 90°, we have a2 + b2 = c2 (3) About Proofs of the Theorem: In the context of different proofs, we have a book – the Pythagora ...
... In a triangle ABC, let a, b, and c be the sides opposite to corresponding vertices then sign(x) = -1 if x < 0 , sign(0) = 0, and sign(x) =1 if x > 0 As a result for angle C = 90°, we have a2 + b2 = c2 (3) About Proofs of the Theorem: In the context of different proofs, we have a book – the Pythagora ...
List of important publications in mathematics
This is a list of important publications in mathematics, organized by field.Some reasons why a particular publication might be regarded as important:Topic creator – A publication that created a new topicBreakthrough – A publication that changed scientific knowledge significantlyInfluence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are Landmark writings in Western mathematics 1640–1940 by Ivor Grattan-Guinness and A Source Book in Mathematics by David Eugene Smith.