The vector stencils library "Trigonometric functions" contains 8 shapes of trigonometrical and inverse trigonometrical functions graphs: sine, cosine, tangent, arcsine, arccosine, arctangent, system axes.
Use these shapes to draw your geometrical diagrams and illustrations in the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.
Use these shapes to draw your geometrical diagrams and illustrations in the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.
Cosine
Sine
Tangent
Cartesian coordinate system
Cartesian coordinate system in two dimensions
Arcsine
Arccosine
Arctangent
The vector stencils library "Road signs" contains 58 symbols of road signs for labeling the road and route maps, directional and transit maps, street and locator maps.
"Traffic signs or road signs are signs erected at the side of or above roads to give instructions or provide information to road users.
... many countries have adopted pictorial signs or otherwise simplified and standardized their signs to overcome language barriers, and enhance traffic safety. Such pictorial signs use symbols (often silhouettes) in place of words and are usually based on international protocols. Such signs were first developed in Europe, and have been adopted by most countries to varying degrees." [Traffic sign. Wikipedia]
The pictograms example "Road signs - Vector stencils library" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Directional Maps solution from the Maps area of ConceptDraw Solution Park.
www.conceptdraw.com/ solution-park/ maps-directional
"Traffic signs or road signs are signs erected at the side of or above roads to give instructions or provide information to road users.
... many countries have adopted pictorial signs or otherwise simplified and standardized their signs to overcome language barriers, and enhance traffic safety. Such pictorial signs use symbols (often silhouettes) in place of words and are usually based on international protocols. Such signs were first developed in Europe, and have been adopted by most countries to varying degrees." [Traffic sign. Wikipedia]
The pictograms example "Road signs - Vector stencils library" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Directional Maps solution from the Maps area of ConceptDraw Solution Park.
www.conceptdraw.com/ solution-park/ maps-directional
Danger place
Intersection
Intersection 2
Bend
Double bend
Two-way traffic
Mobile bridge
Light signal
Pedestrian crossing
Road work
Back-up
Give way
Crossing
Stop
Roundabout
Pass this side
Direction to be followed
One-way street
Cycle track
No entry
No entry both directions
No power vehicles
No U-turns
No passing without stopping
No standing and parking
No parking
Speed limit
Height limit
Width limit
Weight limit
Priority over oncoming traffic
Streetcar or regular buses
Taxi status
Beginning that speed 30-Zone
End that speed 30-Zone
Pedestrian crossing 2
Police
Hotel
Breakdown service
Restaurant
P + R
Restroom
Fuel
Telephone
Recommended speed
Nodal point of a motorwa
Parking
Dead end
Motorway
End motorway
Populated zone
End populated zone
Parking with clock
Number sign (motorway)
-road-signs---vector-stencils-library.png--diagram-flowchart-example.png)
Exit
Direction to place
Board of announcement of exit
Number sign (federal highway)
-road-signs---vector-stencils-library.png--diagram-flowchart-example.png)
The vector stencils library "Aromatics" contains 23 symbols of aromatic rings for chemical drawing of molecular structural formulas and reaction mechanism schemes in organic chemistry.
"In organic chemistry, aromaticity is a chemical property describing the way in which a conjugated ring of unsaturated bonds, lone pairs, or empty orbitals exhibits a stabilization stronger than would be expected by the stabilization of conjugation alone. ... Aromaticity can also be considered a manifestation of cyclic delocalization and of resonance. This is usually considered to be because electrons are free to cycle around circular arrangements of atoms that are alternately single- and double-bonded to one another. These bonds may be seen as a hybrid of a single bond and a double bond, each bond in the ring identical to every other. This commonly seen model of aromatic rings, namely the idea that benzene was formed from a six-membered carbon ring with alternating single and double bonds (cyclohexatriene), was developed by Kekulé (see History section below). The model for benzene consists of two resonance forms, which corresponds to the double and single bonds superimposing to give rise to six one-and-a-half bonds. Benzene is a more stable molecule than would be expected without accounting for charge delocalization. ... Types of aromatic compounds. The overwhelming majority of aromatic compounds are compounds of carbon, but they need not be hydrocarbons. 1. Neutral homocyclics. Benzene, as well as most other annulenes (cyclodecapentaene excepted) with the formula CnHn where n is an even number, such as cyclotetradecaheptaene. 2. Heterocyclics. In heterocyclic aromatics (heteroaromats), one or more of the atoms in the aromatic ring is of an element other than carbon. This can lessen the ring's aromaticity, and thus (as in the case of furan) increase its reactivity. Other examples include pyridine, pyrazine, imidazole, pyrazole, oxazole, thiophene, and their benzannulated analogs (benzimidazole, for example). 3. Polycyclics. Polycyclic aromatic hydrocarbons are molecules containing two or more simple aromatic rings fused together by sharing two neighboring carbon atoms (see also simple aromatic rings). Examples are naphthalene, anthracene, and phenanthrene. 4. Substituted aromatics. Many chemical compounds are aromatic rings with other functional groups attached. Examples include trinitrotoluene (TNT), acetylsalicylic acid (aspirin), paracetamol, and the nucleotides of DNA. 5. Atypical aromatic compounds. Aromaticity is found in ions as well: the cyclopropenyl cation (2e system), the cyclopentadienyl anion (6e system), the tropylium ion (6e), and the cyclooctatetraene dianion (10e). Aromatic properties have been attributed to non-benzenoid compounds such as tropone. Aromatic properties are tested to the limit in a class of compounds called cyclophanes. A special case of aromaticity is found in homoaromaticity where conjugation is interrupted by a single sp³ hybridized carbon atom. When carbon in benzene is replaced by other elements in borabenzene, silabenzene, germanabenzene, stannabenzene, phosphorine or pyrylium salts the aromaticity is still retained. Aromaticity also occurs in compounds that are not carbon-based at all. Inorganic 6-membered-ring compounds analogous to benzene have been synthesized. Hexasilabenzene (Si6H6) and borazine (B3N3H6) are structurally analogous to benzene, with the carbon atoms replaced by another element or elements. In borazine, the boron and nitrogen atoms alternate around the ring." [Aromaticity. Wikipedia]
The organic compound structural formulas example "Aromatics - Vector stencils library" was created using the ConceptDraw PRO software extended with the Chemistry solution from the Science and Education area of ConceptDraw Solution Park.
"In organic chemistry, aromaticity is a chemical property describing the way in which a conjugated ring of unsaturated bonds, lone pairs, or empty orbitals exhibits a stabilization stronger than would be expected by the stabilization of conjugation alone. ... Aromaticity can also be considered a manifestation of cyclic delocalization and of resonance. This is usually considered to be because electrons are free to cycle around circular arrangements of atoms that are alternately single- and double-bonded to one another. These bonds may be seen as a hybrid of a single bond and a double bond, each bond in the ring identical to every other. This commonly seen model of aromatic rings, namely the idea that benzene was formed from a six-membered carbon ring with alternating single and double bonds (cyclohexatriene), was developed by Kekulé (see History section below). The model for benzene consists of two resonance forms, which corresponds to the double and single bonds superimposing to give rise to six one-and-a-half bonds. Benzene is a more stable molecule than would be expected without accounting for charge delocalization. ... Types of aromatic compounds. The overwhelming majority of aromatic compounds are compounds of carbon, but they need not be hydrocarbons. 1. Neutral homocyclics. Benzene, as well as most other annulenes (cyclodecapentaene excepted) with the formula CnHn where n is an even number, such as cyclotetradecaheptaene. 2. Heterocyclics. In heterocyclic aromatics (heteroaromats), one or more of the atoms in the aromatic ring is of an element other than carbon. This can lessen the ring's aromaticity, and thus (as in the case of furan) increase its reactivity. Other examples include pyridine, pyrazine, imidazole, pyrazole, oxazole, thiophene, and their benzannulated analogs (benzimidazole, for example). 3. Polycyclics. Polycyclic aromatic hydrocarbons are molecules containing two or more simple aromatic rings fused together by sharing two neighboring carbon atoms (see also simple aromatic rings). Examples are naphthalene, anthracene, and phenanthrene. 4. Substituted aromatics. Many chemical compounds are aromatic rings with other functional groups attached. Examples include trinitrotoluene (TNT), acetylsalicylic acid (aspirin), paracetamol, and the nucleotides of DNA. 5. Atypical aromatic compounds. Aromaticity is found in ions as well: the cyclopropenyl cation (2e system), the cyclopentadienyl anion (6e system), the tropylium ion (6e), and the cyclooctatetraene dianion (10e). Aromatic properties have been attributed to non-benzenoid compounds such as tropone. Aromatic properties are tested to the limit in a class of compounds called cyclophanes. A special case of aromaticity is found in homoaromaticity where conjugation is interrupted by a single sp³ hybridized carbon atom. When carbon in benzene is replaced by other elements in borabenzene, silabenzene, germanabenzene, stannabenzene, phosphorine or pyrylium salts the aromaticity is still retained. Aromaticity also occurs in compounds that are not carbon-based at all. Inorganic 6-membered-ring compounds analogous to benzene have been synthesized. Hexasilabenzene (Si6H6) and borazine (B3N3H6) are structurally analogous to benzene, with the carbon atoms replaced by another element or elements. In borazine, the boron and nitrogen atoms alternate around the ring." [Aromaticity. Wikipedia]
The organic compound structural formulas example "Aromatics - Vector stencils library" was created using the ConceptDraw PRO software extended with the Chemistry solution from the Science and Education area of ConceptDraw Solution Park.
Biphenyl
Pyrene
Triphenylene
Phenanthrene
Anthracene
Acenaphthylene
Naphthalene
Indene
Indene
Indene
Indene
Cyclopentadiene
1,3-Cyclohexadiene
Cyclohexadiene
1,4-Cyclohexadiene
Cyclohexene
Cyclohexadiene 2
Cyclopentadiene 2
Cyclopentene
Cyclopentadiene 3
Cyclobutadiene
Cyclopropene
Phenalene
"In mathematics, the Euclidean algorithm, or Euclid's algorithm, is a method for computing the greatest common divisor (GCD) of two (usually positive) integers, also known as the greatest common factor (GCF) or highest common factor (HCF). ...
The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in general is defined in a more subtle way).
In its simplest form, Euclid's algorithm starts with a pair of positive integers, and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers. The process repeats until the numbers in the pair are equal. That number then is the greatest common divisor of the original pair of integers.
The main principle is that the GCD does not change if the smaller number is subtracted from the larger number. ... Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers, so this repetition will necessarily stop sooner or later - when the numbers are equal (if the process is attempted once more, one of the numbers will become 0)." [Euclidean algorithm. Wikipedia]
The flowchart example "Euclidean algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.
The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in general is defined in a more subtle way).
In its simplest form, Euclid's algorithm starts with a pair of positive integers, and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers. The process repeats until the numbers in the pair are equal. That number then is the greatest common divisor of the original pair of integers.
The main principle is that the GCD does not change if the smaller number is subtracted from the larger number. ... Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers, so this repetition will necessarily stop sooner or later - when the numbers are equal (if the process is attempted once more, one of the numbers will become 0)." [Euclidean algorithm. Wikipedia]
The flowchart example "Euclidean algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.
Euclid's algorithm flow chart
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