 12x + 8*y + 2z = 4

3x + 5*y + z - 5 = 0

-0.3 + 3(Cos(Sin(2x1^2 + 3x1 - 3)))^2 = Cos(0.8) |

4= 5*x + 8 y+ 3z -2

2* x2^4 + x2^2+ 3x2^3-5x2 = 2

123.456*234.567= a

18a=

x21 = 1.064646
x22 = -0.3960613
x23 = -1.084293 + 1.093553 i
x24 = -1.084293 - 1.093553 i
x11 = 0.8931213
x12 = -2.393121

18a = 521256.7

a = 28598.7
x = -0.48
y = 1.56
z = -1.36

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1/18 VisualLab: Mathsheet (Smart calculator)
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# Syntax-free computation (Format-free computation)

Syntax-free (or format-free) math computation is a novel software technology that allows users to input equations as in a notebook free of computational syntax; the software program interprets what equations input are, and works out how to complete computations for these equations. No variable declaration, no command is needed. This will not only produce prompt solutions, but also release the strain on a user thinking brain from switching on and switching off between the domain of computational syntax and the domain of math issues themself, making the user abler and more efficient. Syntax free computation is a unique feature of VisualLab.

## Graph digitizing

Graph digitizing, aka plot digitizing, curve digitizing is a software technology that reads the graph shown in a figure/picture, converts it to x-y numbers so that mathematical analyses can be carried out for the graph. Note that figure/picture is actually already in a digital form; graph digitizer is actually a software tool for recognizition of graphs (curves plots) in the figure/picture, convert it to digital X-Y numbers. Conveniently and automatically digitizing graph (curve plot) is another unique feature of VisualLab.

## Area size computation

Area size computation refers computation of area size enclosed by any select set of points. One can freely define and select data set consisting of no less than 3 points, its enclosed area size is then computed. This functionality is particularly useful to e.g. curve analysis in analytical chemistry, calculation of maps or drawings. VisualLab enables users freely define select point set and computer its enclosed area size by a single click.

### Formula calculator / formula evaluator:

A formula calculator, aka expression calculator, formula evaluator, is a calculator that can perform calculations for a math formula or expression by a single button action to obtain final results.

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Curve fitting is a process of constructing a mathematical function, which has the best fit to the curve consisting of a series of data points.

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Linear equations are algebraic equations in which each term is either a constant or the product of a constant and a single variable. Simultaneous linear equations are a set of two or more linear equations, each containing two or more variables whose values simultaneously satisfy all the equations in the set, with number of variables being equal to or less than the number of equations in the set.

### Non-linear equations:

Nonlinear equations, a.k.a. nonlinear system, are algebraic equations that are not linear equations. Simultaneous nonlinear equations are a set of equations in which at lerast one of them is nonlinear equation. Typical example of nonlinear equations is a polynomial of degree higher than one.

### Polynomial:

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Examples of polynomial include quadratic equations.

### Transcendental equations:

A transcendental function is an analytic function, in which its variable cannot be expressed in terms of a finite sequence of the algebraic operations of addition, multiplication, and root extraction.

### Normal distribution:

A normal (or Gaussian or Gauss or Laplace Gauss) distribution is a bell shaped continuous probability distribution for a real-valued random variable.

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A binomial distribution is a discrete probability distribution. For any boolean valued outcomes, if probability, p, represents the probability of positive outcome, q = 1 - p would be the probability of negative outcome. Its probability mass function describes the probability of getting exactly k positives in n independent Bernoulli trials.

### t-test:

A t-test, also known as Students t-test, is a test to determine if the difference between the means of two groups is statistically significant, or to determine if the mean of a group is statistically significant from a given value.

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ANOVA (analysis of variance) is a technique in statistics. It is used to analyse the variation among and between groups to check if the means of two or more groups are significantly different from each other.

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