Change in postulate rules

Welcome to free online math tutors,
Over the years, people tried to prove the fifth postulate, thinking
that something so complex must somehow follow from the simpler
postulates. They failed. examples on math forum; In the nineteenth century, mathematicians
tried a different tack: try changing the postulate, and see what
happens.

They found that they ended up with several varieties of
"non-Euclidean" geometry that were completely self-consistent, but
different from Euclid's geometry. Changing the "rules" made a new but
perfectly good game. read more on online math forum.

Scalene and equilateral triangle

Welcome to online math tutor,
The scalene triangle C has no symmetries, but the isosceles triangle B has a bilateral symmetry. The equilateral triangle A not only has three bilateral symmetries, but also has 120°-rotational symmetries.

As defined by Euclid, an equilateral triangle is not to be considered as an isosceles triangle, but in modern terminology,examples on free math tutor; it is usually the case that equilateral triangles are included among the isosceles triangles, that is, it is only required that at least two sides be equal in order for a triangle to be isosceles. Generally speaking, modern definitions are inclusive whereas Euclid's definitions are usually exclusive.

Equilateral triangles are constructed in the very first proposition of the Elements. read more on online math forum.

Math Topology

Welcome to free math tutoring online,
The modern subject of topology studies space in a different way than geometry does. The geometric concepts of straightness, distance, and angle are excluded from topology, but the concept of boundary is central to topology. In topology, a sphere remains a sphere even when it's squeezed or stretched.

Not everything has a boundary. For instance, the circumference of a circle has no boundary. Also a spherical surface has no boundary. examples on math tutoring ; In topology, a finite region with no boundary is called a cycle. Circles and spherical surfaces are cycles. In general, if something is a boundary, it has no boundary itself. So boundaries are cycles. But not all cycles are boundaries.

Topology uses observation to distinguish various spaces. For instance, on a spherical surface, every circle is the boundary of a region on that surface. But on a toroidal surface (rotate a circle around a line in the plane of the circle that doesn't meet the circle), there are circles (for instance, that circle mentioned parenthetically) that don't bound any region on the surface. Thus, spherical surfaces are topologically different from toroidal surfaces. learn more on math forum.

Surface line relation

Welcome to free online math tutoring,
This statement describes a certain relationship, but this time between surfaces and lines. For example, a hemisphere is a surface, and its edge is the circumference of a circle, a kind of line.

This definition cannot actually be used since there are no postulates to go along with it to connect the edges of a surface in any way to the surface.

Euclid uses the same term for the end of a line, the edge of a surface in this definition, and the surface of a solid. free math ;That term could be translated as "that which is around," "the limits of," or "the extremities of," but in English the terms "the ends of" a line, "the edges of" a surface, and either "the surfaces of" or "the faces of" a solid are fairly standard for different dimensions. read more on online math forum.

Math postulates

Greetings from math forum,
We aren't allowed to introduce additional assumptions (undefined terms
or postulates) or alter them without explicitly stating the new
assumptions. When we do so, we are no longer working in the same
mathematical system. It may be a perfectly valid system, but it isn't
the same one once its rules have been changed, even the slightest bit.

Many mathematical systems - probably all until the last two centuries
or so - were motivated by attempts to describe and explain things in
the real world. examples on free math; At this point, math overlaps
with science, and faith
becomes relevant. Do the undefined terms and postulates of our system
correspond to elements of the real world and their interactions? We
can't know. In all likelihood, they don't correspond exactly, but they
may make a good approximation. read more on online math forum.

Calender history

Welcome to free math help online,

10 or 11 days were actually deleted from the calendar in
1582 when we shifted to the Gregorian calendar - should we adjust for
those too, and have the big party on Jan. 10, 2002? I think not.
more examples on math forum.

And finally, if Christ was actually born on Dec. 25, then _that_ year
can be considered "the first year of our lord," i.e. the first year of
the new millennium, and the following year (year 1) is the second.
Which would imply that 2000 ushered in a new millennium.

In short, since the historical/calendric situation is so messy, I
believe that we should measure the millennium by noticing when the big
party is, and Prince doesn't party like it's 2000. I think we're in
the new millennium now. learn more on online math forum.

Technical math

Welcome to free online math help,
Technical subjects (like math or chemistry) are often taught
backward, and I wish I could give you a good reason for that, but I
can't. Everyone I knew growing up hated high-school chemistry, and so
did I, because we seemed to spend endless hours doing things like
converting grams to pounds and ounces to liters, and learning to
determine how much of reagents X and Y you'd need to make some
particular amount of reagent Z.

None of which has anything to do with
what's really going on in chemistry! They don't help you understand
why different substances have different colors, why some are
transparent while others are opaque, math help com; why some are hard and brittle
while others are soft and pliable, why water gets larger when it
freezes while most other things get smaller, why fish smell so bad if
they aren't frozen immediately, how two things as different as
diamonds and graphite can be made by arranging the same kinds of atoms
in different configurations... and so on.

It's an enormous, endlessly
fascinating subject - and it almost seems at times as if there is a
conspiracy among high school chemistry teachers to keep all the good
stuff a secret.
more examples on math forum.

Flexible Math

Welcome to free online math tutor,

Mathematics is like silk in that sense. If I take some mathematicians
and put them in nice offices and give them money to take care of their
physical needs, they'll create mathematics, free online math tutoring; i.e., they'll make up
puzzles and solve them.

Now, we can take their solutions and use them
to make all kinds of things - bridges, computers, budgets, animated
movies, flight simulators - but the mathematicians don't (necessarily)
care about any of that. They make mathematics because it's what they
like to do. more on free math homework help.

Math thought

Welcome to math tutors online for free,

Here's another way to think of it. If I put a 2-by-4 on the ground,
could you walk on it from one end to the other without falling off? math help; Of
course, it would be no problem at all.

But what if I placed the same board between two ledges, 500 feet above
a busy street? Now could you walk from one end to the other? It would
be somewhat more difficult, wouldn't it? But it's the same task, isn't
it?

I hope this session was useful, more examples on our online math forum.

Online help for learning math

Welcome to math forum,

Math problems contains simple problems of addition, subtraction, measurement, number sense, multiplication, functions, adding and subtraction of decimals, fractions & mixed numbers, division, algebra, geometry, algebra function, probability and statistics number using words decimals.

In online math tutoring, tutors assist students to learn the concepts promptly and without difficulty. Learning online make students to understand the subjects easily.

more examples at free math homework help.

Easy way of studying math

Welcome to math tutor online free,

Now a days studying online is one of the easiest way of gaining information of anything. free online Tutoring math is useful for every one to learn or study their subjects in an interactive way and you can learn comfortable from your home with the help of online tutor. In online tutoring chat, voice and digital whiteboards act as a communication medium between tutors and students.

he four basic operation of math are Addition, subtraction, multiplication or repetitive addition and division or repetitive subtraction. The main branches of mathematics are algebra, geometry and calculus, precalculus, prealgebra.

you can get more help on math help com

Line equation and slope form

Let us study about Slope Intercept Form,

A line equation makes the straight line when it is graphed. If the line passes through the points A (x1, y1) and B (x2, y2) and then its slope is,

Slope (m) = (y2 - y1) / (x2 - x1)

The slope is defined as the relation between the perpendicular distance and flat distance between any two points. The slope is denoted by letter ‘m’. The slope is also called as the gradient.

I hope the above explanation was useful.

Explain Additive inverse

Let us study about Additive inverse,

Introduction of addition inverse property:

The Addition Inverse property of a number is the opposite of the number. The sum of any numbers and the addition inverse is always zero.

The addition property is the number that simply to find the opposite number. The additive inverse property is easy to check the real numbers is addition inverse or not.

The real number is ‘ x’ and the addition inverse is ‘-x’ .

I hope the above explanation was useful.

What is Vertical integration

Let us study what is meant by Vertical Integration definition,

This article we are going to explain about vertical integration. The integration is also called anti differentiation. It is the contradictory process of differentiation.
For instance,If we recognize our velocity vector v at some time t then our location vector is given by s where [(ds)/dt] and if we have s=s₀ at t=t₀. In organization, the appearance of vertical integration illustrates a method of control organization.





I hope the above explanation was useful, now let me explain about combination formula

Introduction of Conditional Probability

Let us study about conditional probability,
A conditional probability is the probability of an event given that another event has occurred. For example, what is the probability that the total of two dice will be greater than 8 given that the first die is a 6? This can be computed by considering only outcomes for which the first die is a 6. Then, determine the proportion of these outcomes that total more than 8. All the possible outcomes for two dice are shown below:

There are 6 outcomes for which the first die is a 6, and of these, there are four that total more than 8 (6,3; 6,4; 6,5; 6,6). The probability of a total greater than 8 given that the first die is 6 is therefore 4/6 = 2/3.

I hope the explanation was useful, now let me give you some examples of conditional probability.

Rational Numbers

Let us study about rational numbers,
A rational number is a number that can be expressed as a fraction p/q where p and q are integers and . A rational number p/q is said to have numerator p and denominator q. Numbers that are not rational are called irrational numbers. The real line consists of the union of the rational and irrational numbers. The set of rational numbers is of measure zero on the real line, so it is "small" compared to the irrationals and the continuum.

The set of all rational numbers is referred to as the "rationals," and forms a field that is denoted Q. Here, the symbol Q derives from the German word Quotient, which can be translated as "ratio," and first appeared in Bourbaki's Algèbre (reprinted as Bourbaki 1998, p. 671).

Any rational number is trivially also an algebraic number.
I hope the above explanation was useful.

Frequency Distribution

Let us study about Frequency Distribution,
Frequency distributions are like frequency polygons; however, instead of straight lines, a frequency distribution uses a smooth curve to connect the points and, similar to a graph, is plotted on two axes: The horizontal axis from left to right (or x axis) indicates the different possible values of some variable (a phenomenon where observations vary from trial to trial). The vertical axis from bottom to top (or y axis) measures frequency or how many times a particular value occurs.

For example, in Figure 1 , the x axis might indicate annual income (the values would be in thousands of dollars); the y axis might indicate frequency (millions of people or percentage of working population). Notice that in Figure 1 the highest percentage of the working population would thus have an annual income in the middle of the dollar values. The lowest percentages would be at the extremes of the values: nearly 0 and extremely high.

Figure 1

A symmetric bell curve.

Notice that this frequency curve displays perfect symmetry; that is, one half (the left side) is the mirror image of the other half (the right side). A bell-shaped or mound-shaped curve is also normal, giving it special properties.
I hope the above explanation was useful.

Dot Plot

Let me explain what is meant by "Dot Plot",
Dot plots are similar to bar graphs. Typically used for a small set of values, a dot plot uses a dot for each unit of measurement; thus, the undergraduate expense data in Table 1 could be represented by a dot plot like that shown in Figure 1 .


Figure 1 : Dot plot of the expenditures of a college undergraduate for the past year.
Hope the above explanation was useful.

Tables of Trigonometric Functions

Let us study the Tables of Trigonometric Functions,
Calculators and tables are used to determine values of trigonometric functions. Most scientific calculators have function buttons to find the sine, cosine, and tangent of angles. The size of the angle is entered in degree or radian measure, depending on the setting of the calculator. Degree measure will be used here unless specifically stated otherwise. When solving problems using trigonometric functions, either the angle is known and the value of the trigonometric function must be found, or the value of the trigonometric function is known and the angle must be found. These two processes are inverses of each other. Inverse notations are used to express the angle in terms of the value of the trigonometric function. The expression sin θ = 0.4295 can be written as θ = Sin−10.4295 or θ = Arcsin0.4295 and these two equations are both read as “theta equals Arcsin 0.4295.” Sometimes the expression “inverse sine of 0.4295” is used. Some calculators have a button marked “arc,” which is pressed prior to the function key to express “arc” functions. Arc functions are used to find the measure of the angle if the value of the trigonometric function is known. If tables are used instead of a calculator, the same table is used for either process. Note: The use of calculators or tables gives only approximate answers.Even so, an equal (=) sign is sometimes used instead of an approximate (≈ or ≅) sign.

Example 1: What is the sine of 48°? Example 2: What angle has a cosine of 0.3912?Although a calculator can find trigonometric functions of fractional angle measure with ease, this may not be true if you must use a table to look up the values. Tables cannot list all angles. Therefore, approximation must be used to find values between those listed in the table. This method is known as linear interpolation. The assumption is made that differences in function values are directly proportional to the differences of the measures of the angles over small intervals. This is not really true, but yields a better answer than just using the closest value in the table. This method is illustrated in the following examples.

Hope the above explanation helped you.

Explain Midpoint

Let me explain you about Midpoint,

A midpoint of a line segment is the halfway point, or the point equidistant from the endpoints (Figure 1 ).

Figure 1 Midpoint of a line segment.

R is the midpoint of QS because QR = RS or because QR = ½ QS or RS = ½ QS

Example 3: In Figure 2 , find the midpoint of KR .

Figure 2 Midpoint of a line segment.

The midpoint of KR would be ½(24), or 12 spaces from either K or R. Because the coordinate of K is 5, and it is smaller than the coordinate of R (which is 29), to get the coordinate of the midpoint you could either add 12 to 5 or subtract 12 from 29. In either case, you determine that the coordinate of the midpoint is 17. That means that point O is the midpoint of KR because KO = OR.

Another way to get the coordinate of the midpoint would be to find the average of the endpoint coordinates. To find the average of two numbers, you find their sum and divide by two. (5 + 29) ÷ 2 = 17. The coordinate of the midpoint is 17, so the midpoint is point O.

Theorem : A line segment has exactly one midpoint.

Hope the above explanation helped you.