Mathematics

The most beautiful question B.Sc. part1 # # # #(Reduction formula)

Math Dictionary
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A.M. - the period of time from midnight to just before noon; morning.

Abacus - an oriental counting device and calculator; a rack of ten wires with ten beads
on each wire.

Abelian group - a group in which the binary operation is commutative, that is, ab=ba for
all elements a abd b in the group

Abscissa - the x-coordinate of a point in a 2-dimensional coordinate system

Absolute Value - a number’s distance from zero on the number line

Abstract Number - used without reference to any particular unit

Abundant Number - a positive integer that is smaller than the sum of its proper divisors.
Acceleration - the rate of change of velocity with respect to time

Accute Triangle - a triangle of which the largest angle measures more than 0o and less
than 90

Acre - a unit of measure used for measuring land in the United States. An acre is
43,560 square feet or 4,840 square yards.
Acute Angle - an angle whose measure is less than 90 degrees

Addend - the numbers added in an addition problem, the operation of combining two or
more numbers to form a sum

Addition - the operation of calculating the sum of two numbers or quantities

Additive Identity - the number 0... Zero can be added to any number and that number
keeps its identity (it stays the same.)

Additive Inverse - the number that when added to the original number will result in a
sum of zero.

Additive property of inequality - a property of real numbers such that, for any real
numbers a, b, and c, if a > b, then a + c > b + c, and also c + a > c + b

Adjacent - means that two things are next to each other

Adjacent Angles - two angles that share a ray, thereby being directly next to each other

Agent - a person who transacts business for another

Algebra - a problem in which one or more number is unknown

Algebraic Equation - an equation of the form f(x)=0 where f is a polynomial

Algebraic Expression - an expression obtained by combining constants and/or
variables using the arithmetic operators +, -, x, ./.

Algebraic theNumber - a number that is the root of an algebraic polynomial.

Algebraic phrase - a meaningful arrangement of numbers and variables.

Algebraic proof - use of definitions, axioms, and deductive reasoning to prove algebraic
assertions.

Algorithm - step-by-step procedure by which an operation can be carried out.

Alphametic - a cryptarithm in which the letters, which represent distinct digits, form
related words or meaningful phrases.

Alternate Exterior Angles - angles located outside a set of parallel lines and on
opposite sides of the transversal.

Alternate Interior Angles - angles located inside a set of parallel lines and on opposite
sides of the transversal.

Alternating Sequence - a list of numbers that goes positive, negative, positive,
negative... or negative, positive, negative, positive.

Altitude - the altitude of a triangle is the line segment from one vertex that is
perpendicular to the opposite side.

Amicable Numbers - two numbers are said to be amicable if each is equal to the sum
of the proper divisors of the other.

Analysis - the process of solving problems by tracing the relations of the given results.

Angle - the figure formed by two line segments or rays that extend from a given
endpoint, also the measure of the rotation of a ray about its endpoint from an
initial position to a final position.

Angle Bisector - a ray that divides an angle into two congruent angles.

Annual - yearly.

Annuity - an investment where you put in a certain amount of money each year or each
month.

Annulus - the region enclosed by two concentric circles.

Apothem - a line drawn from the center of the polygon perpendicular to one of its sides.

Arc - portion of a circle.

Area - the number that tells how many square units are contained in a closed figure,
the amount of surface contained by a figure, Length x width = Area, lw=A.

Arithmetic - the science of numbers, and the art of computation.

Arithmetic Mean - the arithmetic mean of n numbers is the sum of the numbers divided
by n.

Arithmetical Operations - the various changes to which numbers are subject.

Array - a rectangular arrangement of numbers or symbols in columns and rows; a
polka-dot grid.

Associative Property - this property applies both to multiplication and addition and
states that you can group several numbers that are being added or multiplied(not
both) in any way and yield the same value. It is a property of real numbers that
notes that, for any real numbers a, b, and c, ( a + b) + c = a + (b + c) and (a x b) x
c = a x (b x c).

Automorphism - an isomorphism from a set onto itself.

Average - refers to the arithmetic mean.

Average Expected Payoff - an estimate of the amount that will be gained in a game
of chance, calculated by multiplying the probability of winning by the number of
points won each time.

Axiom - a rule in math that is always true, or a statement that is assumed to be true
without proof, also called a postulate.

Axioms of Probability - there are three axioms of probability: 1. Probability is always
more than zero 2. The chance that something happens is 1,or 100% 3. If
two events cannot both occur at the same time, the chance that either one
occurs is the sum of the chances that each occurs.

Axis of Symmetry - a line that cuts an object in half so that the two halves are mirror
images of each other.

Schaum Complex Variables with an introduction to CONFORMAL MAPPING and its applications

https://adkguide.blogspot.com/2020/12/schaum-complex-variables-with.html

Logrithmic formulas

Integration Formulas
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Trigonometric formulas

All Basic Math Formulas
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Trigonometry
Matrices
Hyperbolic Functions