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Showing posts with the label math

The Asterisk Symbol in C

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The Asterisk Symbol in C:     Figure 1:   I scripted this asterisk in SVG.  You can view the source-code of this asterisk at my Codepen account. This symbol, in the C programming language, represents the multiplication operator. Multiplication, in C, is a binary [1] .   multiplicative operation.      Snippet 1:   The above-depicted program illustrates the use of the asterisk, in C, as a multiplication operator.      Figure 2:   What the program depicted above in Figure 2  looks like when compiled and run. The asterisk symbol, in CSS, is termed ‘the universal selector.’  It targets all of the elements of an HTML 5 document, so as to apply the values of style properties thereto. In SQL, the asterisk symbol represents ...

Pseudo-Random Numbers in C

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Pseudo-random numbers in C Pseudo-random numbers in C: Introduction: In Ancient Greek, the adjective: ψευδής [1] . or, when transliterated: ‘pseudḗs’ means: ‘lying,’ ‘false,’ ‘fictitious,’ ‘sham’ [2] . . A classical computer is a deterministic machine, and, in and of itself, cannot generate a truly random number.  A classical computer, in and of itself, can only generate a pseudo-random number. [3] . A pseudo-random number is not a true random number – its having been g...

The Set of Natural Numbers:

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     Figure 2:   The Natural Number Symbol that I scripted in SVG. The Natural Number symbol is a blackboard boldface ‘N’.      Figure 2:   The Natural Number Symbol exported as a PNG file. The set of Natural numbers can refer either to the set of non-negative integers, i.e.: {0, 1, 2, 3, 4, ...} or to the set of positive integers, i.e.: {1, 2, 3, 4, 5, ...} The term, ‘natural numbers,’ refers to quantities observed in nature. One can have two apples; three pears or five bananas; how...

An Introduction to Modern Geometry: The Directed Line Segment

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Introduction to Modern Geometry Modern Geometry: The Directed Line Segment In Euclidean Geometry, line segments possess only magnitude, and not direction. A B      Figure 1:   In Euclidean Geometry, only the magnitude of line segments is considered. As we can see in Figure 1 , in Euclidean Geometry, the line segment: |AB| would be considered equal to the line segment: |BA| . However, this is not the case with Modern Geometry. In Modern Geometry, line segments not only possess magnitude, but direction also. A B      Figure 2:   In Modern Geometry, line segments possess direction as well as magnitude. In Modern Geometry: |AB| is termed: ‘a directed line segment’ . ...

There Does Not Exist

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There Does Not Exist There Does Not Exist:      Figure 1:   A there does not exist symbol that I coded in SVG.      Figure 2:   What the SVG image depicted in Figure 1 looks like when exported as a .PNG file.      Figure 3:   The SVG code that generates the vector image depicted in Figure 1 . The symbol depicted in Figure 1 means: There does not exist .  This image is a rendering of the: There does not exist symbol as found in the: Cambria Math font as found in Microsoft Word . You may view the source code for this there-does-not-exists symbol at my Codepen  account. While I was at it, I re-rendered the: There Exists symbol so as to correspond with the symbol as rendered by the: Cambria Math font in Microsoft Word : There Exists Symbol (Cambria Math) ...

There Exists:

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There Exists There_exists_symbol      Figure 1:   A there exists symbol that I coded in SVG.      Figure 2:   The SVG code that generates the vector image depicted in Figure 1 .      Figure 3:   What the above image, depicted in Figure 1 looks like when exported as a .PNG file. I believe that I could program better if I knew more Mathematics, and — to that end — I am following some Engineering-Mathematics courses on YouTube.  For instance: the more plane and Cartesian Geometry that I learn, the better I am able to script images in SVG. The symbol depicted in Figure 1 means: There exists . You may view the source code for this there-exists symbol at my Codepen  account.

The Naming of Sets in Set Theory:

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The Naming of Sets in Set Theory Figure 1:   I drew this set-naming italic character in SVG.  You may view the code of this image at my Codepen Account . Figure 2: What the SVG image looks like when exported as a PNG. [1] In Set Theory - which underpins so much of computing mathematics - we conventionally name sets with capital italic letters. In computer science, a name such as: A , would be termed an: ‘identifier’ . In the below example, we shall use the capital italic character: R so as to name the members of the set of Radix-ten [2] integers. Figure 3: “ A SQUARE-ROOT SIGN   This sign is from radix (Latin for root) and was first used by Leonardo da Pisa in 1220.  Today’s √ sign, which may be a distortion of the letter “r”, is sixteenth-century German.” [3] An Example ...