1 According to the formula of variance for any randomly distributed set of data, the denominator denotes the degrees of freedom: = Variance for a random set; Mean for the set of data; ith datum [...]
The world mostly recognizes Leonardo as a painter, scientist, and inventor, yet he also contributed significantly to the development of mathematics during the renaissance period, particularly in the field of Geometry.
Algebra is a mathematical concept that basically involves the applications of operations and relations, and the concepts that are as a result of the combination of the two.
Another viable explanation of the existence of mathematics is that it is merely part of the human creation. The argument for mathematics being part of human discovery is far-fetched and fanatical.
Some of the characteristics of a parabola are that if made of shiny / reflecting materials, the light travels in a parallel direction with the axis of symmetry, and it is reflected in the parabola's [...]
Mathematics plays an essential role in general education as an art and science. It is different from other disciplines given the contradictions it causes.
In the precedent years, the fairy-tale of the palimpsest produced by the mathematician was exhilarating with application of transcript modification and pilfering.
Its primary objective is to facilitate the evaluation and simulation of spatial phenomena occurring in the actual world and allow for planning and problem-solving approaches.
It is important to emphasize that the shape of the museum is not tetrahedral, as it may seem because the central composition of the visible part of the Louvre is directly a square, not a [...]
Measurement refers to the process of determining the proportion of a physical quantity such as temperature, time, volume, area, weight and length. Civil engineering involves the extensive use of measurement and scales.
It is used not only to simply solve the missing side of a right-angled triangle but also more extensively to solve Reasoning and Application problems and also can be used to solve many higher mathematics [...]
Kovalevskaya's contributions to the development of Euler's equations are explained in a publication titled, "on the property of a system of equations".
The correlation studies result in the determination of the correlation coefficient which is a measure of the strength of the relationship between variables.
Arthur Cayley joined Trinity College in Cambridge at the age of seventeen and graduated in 1842 and in October of the same year, he became the youngest fellow in that college.
Implicit differentiation is commonly used across the business sector to solve various problems and optimize the output of the problem. In this post, I will discuss the application of Implicit Differentiation in the business sector.
If an indefinite integral function is F and given a certain function f, the function F or the integral is determined such that F' equals the original function f.
The video "How to solve polynomial equations in a real life situations" by Teacher Cjane explains the concept of polynomials and provides an example of using such equations in practice.
The algebraic concept of formulas can be employed when one intends to start a business. Another algebraic concept that can be used in weather science is that of variables.
The video I chose to examine for this discussion is Roger Antonsen's TED talk, "Math is the hidden secret to understanding the world". Therefore, math, as a tool for providing varied perspective, is one of [...]
The second is the median, which is the middle observation of a data column. Variance is an expression of how data differ from the mean in abnormal data distribution.
The Environmental Protection Agency is a body given the responsibility of coming up with legislation and procedures whose sole purpose is to protect the environment and human health.
When a ball is thrown into the air, it rises until it reaches a high point. The entirety of motion from the moment a ball rises into the air until it falls constitutes a parabola.
Rene refined the idea of the standard notation equation of a line given as y=mx + b, m which represents the slope and determines the change in y for every unit change in x, b [...]
There are great many of prime numbers, the smallest one is 1 and the largest known prime number on the moment of webpage creation is m39 = 213,466,917-1.
The works by Bernoulli and Barrow introduced the term "calculus" in the middle of the 17th century as "a particular method of calculation and mathematical study of continuous change". The purpose of the fundamental theorem [...]
Ability of counting the group number and the items is necessary for one to be able to multiply them. For example, it is common for students to forget the addition and multiplication rules.
It is presumably devoid of the racism and prejudices incorporated in the recidivism models that the court system utilizes. At a "hackathon" in the spring of 2011, O'Neil and the New York Civil Liberties Union [...]
Overall, this investigation is dedicated to one of the most interesting and complex topics in present-day geometry, namely, the problem of time and the circle geometry, associated with the position of the hands-on clock.
The actual value of this work is covered in the notion that the analysis of the similarity of the techniques and rules of math and economic calculation will help to foster the further development of [...]
Although only few facts are known about the life of Leonardo of Pisa, his writings in mathematics include the detailed discussion of the advantages of the Hindu-Arabic system, the important information on arithmetic in business [...]
The future outlook of careers in mathematics is promising due to advancements in technology. These skills are essential to advance in the profession and future career in mathematics successfully.
An example is the article "Comparison of Clinical Efficacy of Three kinds of toothpaste in Reducing Dentin Hypersensitivity". This article uses mathematics in comparing the efficiency of kinds of toothpaste.
Scientific notation is regarded as a short hand approach and plays a big role in reducing the number of zeros seen by the students. Expressing it using the scientific notation creates a value that is [...]
His central focus was to formalize the inverse properties between the integral and the differential; this was the first calculus system where he created new rhetoric and descriptive terms.
In this regard, I hoped to obtain knowledge in designing of experiments, collection and analysis of data, interpretation of results as well as drawing of conclusions.
Assessment and Qualifications Alliance (AQA) is an independent charitable organisation that produces specifications and examination assignments for 12th and 13th-grade students.
The situations occurs at the end of a study when the statistical figures relating to certain topics of study are calculated in absence of qualitative aspect and other details that can be used to make [...]
Unlike quantitative research where an investigator manipulates variables or recreates the natural setting in the lab, qualitative research aims at assessing behaviours in it's undisturbed from. It raises a series of sub questions that are [...]
This is a definition of a rational number of the form p/q, where q 0. Divide the numerator and the denominator of R to find the asymptotes of the function.
Moreover, Gauss is also the founder of congruence, which was a part of the mathematician's approach to the mentioned theory. Carl Friedrich Gauss became famous for his breakthrough ideas and developments that dramatically affected the [...]
Mathematics and the use of formulas have played an important role in the development of the modern world. The Golden Ratio concept was used in this part of the world.
While von Neumann's indirect participation in the bombing of Hiroshima and Nagasaki makes the discussion of his historical figure controversial, von Neumann's goal was to quickly achieve the end of the war by any means.
To solve the problem, one can use the subtraction strategy: in this case, the area of the inner square is subtracted from the area of the whole figure.
Afterward, the teacher will introduce the students to the logic behind moving the chips on the scale, with the shift to the right representing addition, whereas the transfer to the left representing subtraction.
The corners or vertices of a polygon are the positions where two of the lines of the polygon intersect. To obtain a single interior angle, then As illustrated, the following steps can be used to [...]
On the contrary, it is considered a continuous random variable if it's quantities or representative array of values are not quantifiable and it accepts any numbers on the reference axis or its interval. Conversely, Y [...]
The variable to be predicted should be continuous, and the data should match the multiple linear regression assumptions. Except for the response "YKappa," the dataset has some missing values in each variable; consequently, the author [...]
Given the problem at hand has a theoretical backup, we intend to use the data provided in Table 1, copied to Spreadsheet, to establish the relationship between education expenditure per student and graduation rates in [...]
In this context, the author has used graphs and charts to elaborate the figures in the research. To talk about independent variables and reliability can be confusing if the context is not specified.
The current essay proves the importance of math in the example of a trip from the United States to Japan - two very unique countries with different currency and measuring systems.
As for the area of the figure, only the first three students managed to complete the task, while Participant 4 did not find the area, and Participant 5 arrived at the wrong answer.
The spICP-MS is a highly-potent methodology for metallic NP characterization regardless of the constraints and aspects for improving the process includes.
The effective method to be applied is articulation which the students are expected to learn in the summer holiday. Elements in the book, such as results and discussion that provided the textual evidence, supported the [...]
Strictly speaking, to get the derivative for a function, such as a time series, one needs to study the limit of the increment of that function to the increment of time, as shown in the [...]
The selected lesson to complete the course activities and the final project is an introduction to calculus. In the wake of technological advancement, climate variation, and the adoption of automation, differential calculus can be employed [...]
The purpose of symbolism and the unique approaches of the physical fields of study will be misunderstood if the mathematical demonstration is seen as merely a tool.
Primary to the calculation of the Weibull distribution is the definition of the Beta parameter, a shape parameter that describes the behavior of the failure rate.
The $1000 is expected to turn into a more significant amount after that time, but now it can be seen that the particular value of A will only be determined through the interest rate r [...]
A basic formulation of the CLT might be "the theorem that specifies the nature of the sampling distribution of means according to the central tendency, the variability, and the shape of the distribution".
Furthermore, it is important to note that for the time series, there is a need to postulate the observed values for the variables in a manner that it is easy to determine the nature of [...]
Consequently, if the terminal side of the coterminal angle is not the same as the terminal side of the initial angle, then there is a clear error in the definition.
This knowledge helps paramountly to know that exponentiation is not only the raising of a number to a degree but also the historical practice of working with numbers that communities have tried to come to [...]
One of the most striking examples of gender bias in academia is the story of the French female mathematician Sophie Germain, who made significant contributions to differential geometry and number theory.
The essay, however, aims at a deeper study of the compound interest model in the economic sector as well, since it will be shown that the use of mathematical operators, whether limits or differentiation, over [...]
In this case, P stands for principal, that is, the initial deposit, r is the key interest rate, n is the number of times the deposit is compounded during the year, and n is the [...]
In-depth research and analysis indicate the availability of great mathematicians from various groups that are often perceived as minorities in the world of math.
For instance, the concept was applicable for the first time I was learning to learn how to ride a bicycle. The first one is that I had to concentrate and work tirelessly to achieve the [...]
The paper seeks to solve the problem of understanding the conditions under which the individual processes against survival, growth, and fission do the developed equations lead to an honest representation of a cell-based model that [...]
Species in settings with soft carrying capacities such as those with non-negative value K create a restricted expectation of a variation, given a full past history, is non-positive when the species surpasses the carrying volume.
Due to the peculiarities of the social sphere, the history of the mathematization of the social sciences is different from that of natural sciences, for example.
The difference in equations is informed by the use of plot variances, where x-axis represents the number of miles driven, while the y-axis shows the number of gallons of gas in a truck.
In particular, the child gets to know that not all shapes are convenient to measure, for example, it is difficult to measure the length or width of a ball.
The IS-LM model is based on the assumption that the general price level is fixed. IS-LM model can be written using functional forms by focusing on the linear function1.
Given the impossibility of reducing the general idea of mathematical science to a single point, it is essential to note that the manifestation of its regularities and concepts is widespread in the real world.
The research aims at showing the relationship between Art and Mathematics to students. The two disciplines have proved to be more united throughout history.
The theory states that it is not obvious for integrals and derivatives to be related but the degree of change of any integral is a result of the function of the collected values.
Field for golf is the biggest and made of grass, sand and water and is the biggest and it has no fixed shape. Soccer field is made of grass or synthetic material and is the [...]
The x-intercept and y-intercept are determined algebraically, as shown below: y-intercept is the point where the line meets the y-axis, that is, the value of x at this point is 0.
Saving plan A is to make an initial deposit of $400 and then deposit $20 per month into the account. Saving plan B is to make an initial deposit of $600 and then deposit $10 [...]
In chapter three, Cramer classifies curves concerning shapes, and it is here that he introduces his famous 'Cramer's Rule.' Here, Cramer applies several arbitrary factors in an equation of the order n, to test his [...]
Nevertheless, in spite of all the hurdles placed before him, Serge Natanovich Bernstein persevered and in the process contributed to the development of mathematics in particular and humanity in general.
The x-intercept is where the graph crosses the x-axis while the y-intercept is where the graph crosses the y-axis. The x-intercept is the point along the x-axis and the y-intercept is the point along the [...]
The elementary components of the theory are believed to have been discovered and utilized by the ancient Babylonians, and probably the Chinese approximately 1000 years before Pythagoras proved the theorem in about 500 BC.
In analyzing the frame, the account is taken of the effect of axial load on the flexural stiffness of compression members.t is noted in the question that the frame is braced against side sway, and [...]
However, he asserts that the theorem is of incredible significance in the mathematical study as it embodies the idea of mathematical proof, that is proving of geometrical statements in particular.
One alternative is a company that is offering a discount for every dollar amount spent on the purchase, while the other alternative is a company that is offering a discount for every dollar amount spent [...]
In addition to that George explored such issue as the theory of probability and he tried to apply his principles. Nonetheless, it should be taken into consideration that he did not elaborate his argument, and [...]
Reaction 4: The debate whether mathematics could be treated as a language needs to be seen in the context of the fact that in certain cases, it deals with codified quantitative data which has very [...]
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