What is amplitude?
The
amplitude is the maximum value of a varying quantity from its mean or base value.
In the case of a simple harmonic motion wave or vibration – it is half the
harmonic motion wave vibration is half the maximum peak-to-peak value.
What is ambiguous?
Having more than one possible meaning, value or solution. For
example, if we are given two sides and one angle other than the included angle
of a triangle, it gives rise to an ambiguous case in finding the other side and
angles of the triangle. One solution is an acute-angled triangle and the other
is an obtuse-angled triangle.
What is the Base period?
The period used as a standard for comparison for some
variables, for instance, consumer prices 100 is usually taken as the index number
for the variable in the base period, so that an index of 150 for a given period
indicates that prices then were one and a half times those of the base period.
What is Birkhoff’s theorem?
Birkhoff’s
theory is every matrix can be expressed as a convex combination of permutation
matrices.
What is bisector?
A bisector means a straight line or a plane that divides a
line or a plane, or an angle into two equal parts. The equation of the line
bisecting a given angle is obtained by equating the perpendicular distances
from a variable point to each of the lines forming the angle.
The equations of
the planes bisecting the angle between two given planes are obtained by
equating the perpendicular distances from the variable point from the two given
planes first giving these distances like signs and then unlike signs.
What is Bolzano’s theorem?
Bolzano’s
theorem is a single real-valued function f(x) of a real variable x, is zero for
at least one value of x on [a,b] if it is continuous a [a,b] and f(a) and f(b)
have opposites signs.
What is Central projection?
Central projection is a geometrical transformation in which a straight
line from a point to each point in the figure is continued to the point at which
it passes through a second plane. These points form the images of the original
figure.
When a photographic image is created from a film using an enlarger,
this is the kind of projection that takes place. The light source is at the
centre of the projection, the light rays are the straight lines, the film is the
first plane, and the screen or point is the second. In this case, the two planes
are usually parallel, but this is not always so in central projection.
What is Leibnitz’s
theorem?
This is a rule for finding the nth derivative of
the product of two functions. It is expressed as a series of (n+1) terms
involving successive differentials of separate functions and binomial
coefficients.
What is L’ Hospital‘s
rule?
This is a mathematical rule which permits the evaluations
of the limit of an indeterminate quotient of functions as the quotient of the
limits of their derivates.
For example
X→0 cos x/1 =1
What are Pappu’s theorems?
Pappu’s
theorems are two theorems concerning the rotation of a curve or a plane shape
about a line that lies in the same plane.
The first theorem states that the
surface area generated by a curve revolving about a line that does not cross
it is equal to the length of the curve times the circumference of the circle
traced out by its centroid.
The second theorem states that the volume of a
solid of revolution generated by a plane area that rotates about a line not
crossing it is equal to the area times the circumference of the circle traced
out by the centroid of the area.
Tags
science