# Pascal’s triangle

In mathematics, Pascal's triangle is a geometric representation of the binomial coefficients in a triangle. Every element in the triangle can be calculated by simple adding the two elements above itself to find the new value – except the 1-s on the top and on the sides.

This construction is based on the binomial coefficients by Pascal’s rule, which states that if

then

for any nonnegatíve integer n, and any integer k between 0 and n.

The binomial theorem states that: when (x + y) is rised to a positive integer n power, we have

where the coefficients ak in this expansion are

precisely the numbers on row n of Pascal's triangle.

The three-dimensional generalization of pascal’s triangle is called Pascal’s pyramid, the general versions are called Pascal’s simplices.

Pascal laid the foundation for the projective geometry and for the theory of probability.

# News

#### ECR 2017

Pascal Team has exhibited it’s complete range of digital X-ray systems in ECR2017, the largest radiological meeting in Europe. More than 20.000 participants from over 100 countries visited the scientific and educational programme, and the related technical exhibition this year. Exhibitors from all over the world presented the results of their latest researches and developments.

# The inspiration of our company name

#### Blaise Pascal

Blaise Pascal, the prominent French scientist was born in Clemont-Ferrand in 1623. He contributed significally in the fields of mathematics, physics, philosophy and theology as well.

In honor of his intellectual curiosity and diligence, assiduous and successful simultaneous work in different areas of science, we treat him as our model and have chosen his name for our company. ....