context stringlengths 4 1.46k | target stringlengths 1 70 | polysemous dict | correct_definitions_in_context listlengths 1 3 | correct_definition_key listlengths 1 3 |
|---|---|---|---|---|
A guy can be an active and successful hot rodder for years without becoming even remotely involved with mathematical problems ; however, he will have a clearer understanding of what he is doing and the chances are he will be more successful if he understands the few formulas that apply to rodding. | have | {
"name": "have",
"sense_definitions_list": [
"a person who possesses great material wealth",
"have or possess, either in a concrete or an abstract sense",
"have as a feature",
"go through (mental or physical states or experiences)",
"have ownership or possession of",
"cause to move; cause t... | [
"have or possess, either in a concrete or an abstract sense"
] | [
"have%2:40:00::"
] |
A guy can be an active and successful hot rodder for years without becoming even remotely involved with mathematical problems ; however, he will have a clearer understanding of what he is doing and the chances are he will be more successful if he understands the few formulas that apply to rodding. | doing | {
"name": "do",
"sense_definitions_list": [
"an uproarious party",
"the syllable naming the first (tonic) note of any major scale in solmization",
"doctor's degree in osteopathy",
"engage in",
"carry out or perform an action",
"get (something) done",
"proceed or get along",
"give ris... | [
"carry out or practice; as of jobs and professions"
] | [
"do%2:41:02::"
] |
A guy can be an active and successful hot rodder for years without becoming even remotely involved with mathematical problems ; however, he will have a clearer understanding of what he is doing and the chances are he will be more successful if he understands the few formulas that apply to rodding. | are | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have an existence, be extant"
] | [
"be%2:42:00::"
] |
A guy can be an active and successful hot rodder for years without becoming even remotely involved with mathematical problems ; however, he will have a clearer understanding of what he is doing and the chances are he will be more successful if he understands the few formulas that apply to rodding. | be | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
A guy can be an active and successful hot rodder for years without becoming even remotely involved with mathematical problems ; however, he will have a clearer understanding of what he is doing and the chances are he will be more successful if he understands the few formulas that apply to rodding. | understands | {
"name": "understand",
"sense_definitions_list": [
"know and comprehend the nature or meaning of",
"perceive (an idea or situation) mentally",
"make sense of a language",
"believe to be the case",
"be understanding of"
]
} | [
"know and comprehend the nature or meaning of"
] | [
"understand%2:31:00::"
] |
A guy can be an active and successful hot rodder for years without becoming even remotely involved with mathematical problems ; however, he will have a clearer understanding of what he is doing and the chances are he will be more successful if he understands the few formulas that apply to rodding. | apply | {
"name": "apply",
"sense_definitions_list": [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose",
"be pertinent or relevant or applicable",
"ask (for something)",
"apply to a surface",
"be applicable to; as to an analysis",
"give or conve... | [
"be pertinent or relevant or applicable"
] | [
"apply%2:42:00::"
] |
A mathematical formula is nothing more than a pattern for solving a specific problem. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"be identical to; be someone or something"
] | [
"be%2:42:06::"
] |
A mathematical formula is nothing more than a pattern for solving a specific problem. | solving | {
"name": "solve",
"sense_definitions_list": [
"find the solution to (a problem or question) or understand the meaning of",
"find the solution",
"settle, as of a debt"
]
} | [
"find the solution to (a problem or question) or understand the meaning of"
] | [
"solve%2:31:00::"
] |
It places the various factors involved in the problem in their correct order in relation to each other so that the influence of factors on each other can be computed. | places | {
"name": "place",
"sense_definitions_list": [
"a point located with respect to surface features of some region",
"any area set aside for a particular purpose",
"an abstract mental location",
"a general vicinity",
"the post or function properly or customarily occupied or served by another",
... | [
"assign a rank or rating to"
] | [
"place%2:31:01::"
] |
It places the various factors involved in the problem in their correct order in relation to each other so that the influence of factors on each other can be computed. | computed | {
"name": "compute",
"sense_definitions_list": [
"make a mathematical calculation or computation"
]
} | [
"make a mathematical calculation or computation"
] | [
"compute%2:31:00::"
] |
The first step in using a formula is to insert the numerical values of the factors involved in their correct positions in the formula. | using | {
"name": "use",
"sense_definitions_list": [
"the act of using",
"what something is used for",
"a particular service",
"(economics) the utilization of economic goods to satisfy needs or in manufacturing",
"(psychology) an automatic pattern of behavior in reaction to a specific situation; may be ... | [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
] | [
"use%2:34:01::"
] |
The first step in using a formula is to insert the numerical values of the factors involved in their correct positions in the formula. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"be identical to; be someone or something"
] | [
"be%2:42:06::"
] |
The first step in using a formula is to insert the numerical values of the factors involved in their correct positions in the formula. | insert | {
"name": "insert",
"sense_definitions_list": [
"a folded section placed between the leaves of another publication",
"an artifact that is inserted or is to be inserted",
"(broadcasting) a local announcement inserted into a network program",
"(film) a still picture that is introduced and that interru... | [
"put or introduce into something"
] | [
"insert%2:35:00::"
] |
This changes the formula to an `` equation ''. | changes | {
"name": "change",
"sense_definitions_list": [
"an event that occurs when something passes from one state or phase to another",
"a relational difference between states; especially between states before and after some event",
"the action of changing something",
"the result of alteration or modificat... | [
"cause to change; make different; cause a transformation"
] | [
"change%2:30:01::"
] |
The equation is used for the mathematical process of solving the problem. | used | {
"name": "use",
"sense_definitions_list": [
"the act of using",
"what something is used for",
"a particular service",
"(economics) the utilization of economic goods to satisfy needs or in manufacturing",
"(psychology) an automatic pattern of behavior in reaction to a specific situation; may be ... | [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
] | [
"use%2:34:01::"
] |
The equation is used for the mathematical process of solving the problem. | solving | {
"name": "solve",
"sense_definitions_list": [
"find the solution to (a problem or question) or understand the meaning of",
"find the solution",
"settle, as of a debt"
]
} | [
"find the solution to (a problem or question) or understand the meaning of"
] | [
"solve%2:31:00::"
] |
Equations for rodding formulas are not complicated. | are | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
They involve only simple mathematics that are taught in grammar school arithmetic classes. | involve | {
"name": "involve",
"sense_definitions_list": [
"connect closely and often incriminatingly",
"engage as a participant",
"have as a necessary feature",
"require as useful, just, or proper",
"contain as a part",
"occupy or engage the interest of",
"make complex or intricate or complicated... | [
"require as useful, just, or proper"
] | [
"involve%2:42:07::"
] |
They involve only simple mathematics that are taught in grammar school arithmetic classes. | taught | {
"name": "teach",
"sense_definitions_list": [
"an English pirate who operated in the Caribbean and off the Atlantic coast of North America (died in 1718)",
"impart skills or knowledge to",
"accustom gradually to some action or attitude"
]
} | [
"impart skills or knowledge to"
] | [
"teach%2:32:00::"
] |
However, it is essential that the various mathematical symbols used in the equations be understood so that the mathematical processes can be done properly and in their correct order. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
However, it is essential that the various mathematical symbols used in the equations be understood so that the mathematical processes can be done properly and in their correct order. | used | {
"name": "use",
"sense_definitions_list": [
"the act of using",
"what something is used for",
"a particular service",
"(economics) the utilization of economic goods to satisfy needs or in manufacturing",
"(psychology) an automatic pattern of behavior in reaction to a specific situation; may be ... | [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
] | [
"use%2:34:01::"
] |
However, it is essential that the various mathematical symbols used in the equations be understood so that the mathematical processes can be done properly and in their correct order. | done | {
"name": "do",
"sense_definitions_list": [
"an uproarious party",
"the syllable naming the first (tonic) note of any major scale in solmization",
"doctor's degree in osteopathy",
"engage in",
"carry out or perform an action",
"get (something) done",
"proceed or get along",
"give ris... | [
"engage in"
] | [
"do%2:41:01::"
] |
They indicate simple division, multiplication, subtraction, and addition. | indicate | {
"name": "indicate",
"sense_definitions_list": [
"be a signal for or a symptom of",
"indicate a place, direction, person, or thing; either spatially or figuratively",
"to state or express briefly",
"give evidence of",
"suggest the necessity of an intervention; in medicine"
]
} | [
"be a signal for or a symptom of"
] | [
"indicate%2:32:01::"
] |
The symbol for division is a straight line that separates two numbers placed one above the other. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"be identical to; be someone or something"
] | [
"be%2:42:06::"
] |
The symbol for division is a straight line that separates two numbers placed one above the other. | separates | {
"name": "separate",
"sense_definitions_list": [
"a separately printed article that originally appeared in a larger publication",
"a garment that can be purchased separately and worn in combinations with other garments",
"act as a barrier between; stand between",
"force, take, or pull apart",
"... | [
"act as a barrier between; stand between"
] | [
"separate%2:42:00::"
] |
The symbol for division is a straight line that separates two numbers placed one above the other. | placed | {
"name": "place",
"sense_definitions_list": [
"a point located with respect to surface features of some region",
"any area set aside for a particular purpose",
"an abstract mental location",
"a general vicinity",
"the post or function properly or customarily occupied or served by another",
... | [
"put into a certain place or abstract location"
] | [
"place%2:35:00::"
] |
The lower number is always divided into the upper number : | divided | {
"name": "divide",
"sense_definitions_list": [
"a serious disagreement between two groups of people (typically producing tension or hostility)",
"a ridge of land that separates two adjacent river systems",
"separate into parts or portions",
"perform a division",
"act as a barrier between; stand... | [
"perform a division"
] | [
"divide%2:31:00::"
] |
* * f The symbol for multiplication is `` ''. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"be identical to; be someone or something"
] | [
"be%2:42:06::"
] |
It is used to separate two or more numbers in a row. | used | {
"name": "use",
"sense_definitions_list": [
"the act of using",
"what something is used for",
"a particular service",
"(economics) the utilization of economic goods to satisfy needs or in manufacturing",
"(psychology) an automatic pattern of behavior in reaction to a specific situation; may be ... | [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
] | [
"use%2:34:01::"
] |
It is used to separate two or more numbers in a row. | separate | {
"name": "separate",
"sense_definitions_list": [
"a separately printed article that originally appeared in a larger publication",
"a garment that can be purchased separately and worn in combinations with other garments",
"act as a barrier between; stand between",
"force, take, or pull apart",
"... | [
"act as a barrier between; stand between"
] | [
"separate%2:42:00::"
] |
* * f Numbers to be multiplied together may be multiplied in any order. | multiplied | {
"name": "multiply",
"sense_definitions_list": [
"combine by multiplication",
"combine or increase by multiplication",
"have young (animals) or reproduce (organisms)",
"have offspring or produce more individuals of a given animal or plant",
"in several ways; in a multiple manner"
]
} | [
"combine by multiplication"
] | [
"multiply%2:31:00::"
] |
* * f Numbers to be multiplied together may be multiplied in any order. | multiplied | {
"name": "multiply",
"sense_definitions_list": [
"combine by multiplication",
"combine or increase by multiplication",
"have young (animals) or reproduce (organisms)",
"have offspring or produce more individuals of a given animal or plant",
"in several ways; in a multiple manner"
]
} | [
"combine by multiplication"
] | [
"multiply%2:31:00::"
] |
The result will be the same regardless of the order used. | be | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
The result will be the same regardless of the order used. | used | {
"name": "use",
"sense_definitions_list": [
"the act of using",
"what something is used for",
"a particular service",
"(economics) the utilization of economic goods to satisfy needs or in manufacturing",
"(psychology) an automatic pattern of behavior in reaction to a specific situation; may be ... | [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
] | [
"use%2:34:01::"
] |
The symbol for subtraction is the standard minus sign. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"be identical to; be someone or something"
] | [
"be%2:42:06::"
] |
This is nothing more than a dash. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"be identical to; be someone or something"
] | [
"be%2:42:06::"
] |
It separates two or more numbers. | separates | {
"name": "separate",
"sense_definitions_list": [
"a separately printed article that originally appeared in a larger publication",
"a garment that can be purchased separately and worn in combinations with other garments",
"act as a barrier between; stand between",
"force, take, or pull apart",
"... | [
"act as a barrier between; stand between"
] | [
"separate%2:42:00::"
] |
The number on the right of the symbol is always subtracted from the number on the left of the symbol. | subtracted | {
"name": "subtract",
"sense_definitions_list": [
"make a subtraction",
"take off or away"
]
} | [
"make a subtraction"
] | [
"subtract%2:31:00::"
] |
For example : * * f When more than two figures are separated by subtraction symbols the subtraction must be carried out from the left to right if the result is to be correct. | separated | {
"name": "separate",
"sense_definitions_list": [
"a separately printed article that originally appeared in a larger publication",
"a garment that can be purchased separately and worn in combinations with other garments",
"act as a barrier between; stand between",
"force, take, or pull apart",
"... | [
"act as a barrier between; stand between"
] | [
"separate%2:42:00::"
] |
For example : * * f When more than two figures are separated by subtraction symbols the subtraction must be carried out from the left to right if the result is to be correct. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
For example : * * f When more than two figures are separated by subtraction symbols the subtraction must be carried out from the left to right if the result is to be correct. | be | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
For example, for the problem * * f, 10 from 25 equals 15, then 6 from 15 equals 9. | equals | {
"name": "equal",
"sense_definitions_list": [
"a person who is of equal standing with another in a group",
"be identical or equivalent to",
"be equal to in quality or ability",
"make equal, uniform, corresponding, or matching",
"having the same quantity, value, or measure as another",
"havi... | [
"be identical or equivalent to"
] | [
"equal%2:42:00::"
] |
For example, for the problem * * f, 10 from 25 equals 15, then 6 from 15 equals 9. | equals | {
"name": "equal",
"sense_definitions_list": [
"a person who is of equal standing with another in a group",
"be identical or equivalent to",
"be equal to in quality or ability",
"make equal, uniform, corresponding, or matching",
"having the same quantity, value, or measure as another",
"havi... | [
"be identical or equivalent to"
] | [
"equal%2:42:00::"
] |
Addition is indicated by the + symbol. | indicated | {
"name": "indicate",
"sense_definitions_list": [
"be a signal for or a symptom of",
"indicate a place, direction, person, or thing; either spatially or figuratively",
"to state or express briefly",
"give evidence of",
"suggest the necessity of an intervention; in medicine"
]
} | [
"be a signal for or a symptom of"
] | [
"indicate%2:32:01::"
] |
The symbol is used to separate two or more numbers. | used | {
"name": "use",
"sense_definitions_list": [
"the act of using",
"what something is used for",
"a particular service",
"(economics) the utilization of economic goods to satisfy needs or in manufacturing",
"(psychology) an automatic pattern of behavior in reaction to a specific situation; may be ... | [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
] | [
"use%2:34:01::"
] |
The symbol is used to separate two or more numbers. | separate | {
"name": "separate",
"sense_definitions_list": [
"a separately printed article that originally appeared in a larger publication",
"a garment that can be purchased separately and worn in combinations with other garments",
"act as a barrier between; stand between",
"force, take, or pull apart",
"... | [
"act as a barrier between; stand between"
] | [
"separate%2:42:00::"
] |
* * f Numbers separated by addition symbols may be placed in any order. | separated | {
"name": "separate",
"sense_definitions_list": [
"a separately printed article that originally appeared in a larger publication",
"a garment that can be purchased separately and worn in combinations with other garments",
"act as a barrier between; stand between",
"force, take, or pull apart",
"... | [
"act as a barrier between; stand between"
] | [
"separate%2:42:00::"
] |
* * f Numbers separated by addition symbols may be placed in any order. | placed | {
"name": "place",
"sense_definitions_list": [
"a point located with respect to surface features of some region",
"any area set aside for a particular purpose",
"an abstract mental location",
"a general vicinity",
"the post or function properly or customarily occupied or served by another",
... | [
"put into a certain place or abstract location"
] | [
"place%2:35:00::"
] |
When solving an equation that involves division as well as other steps, do all the division steps first to reduce those parts of the equation to their numerical value. | solving | {
"name": "solve",
"sense_definitions_list": [
"find the solution to (a problem or question) or understand the meaning of",
"find the solution",
"settle, as of a debt"
]
} | [
"find the solution"
] | [
"solve%2:31:01::"
] |
When solving an equation that involves division as well as other steps, do all the division steps first to reduce those parts of the equation to their numerical value. | involves | {
"name": "involve",
"sense_definitions_list": [
"connect closely and often incriminatingly",
"engage as a participant",
"have as a necessary feature",
"require as useful, just, or proper",
"contain as a part",
"occupy or engage the interest of",
"make complex or intricate or complicated... | [
"require as useful, just, or proper"
] | [
"involve%2:42:07::"
] |
When solving an equation that involves division as well as other steps, do all the division steps first to reduce those parts of the equation to their numerical value. | do | {
"name": "do",
"sense_definitions_list": [
"an uproarious party",
"the syllable naming the first (tonic) note of any major scale in solmization",
"doctor's degree in osteopathy",
"engage in",
"carry out or perform an action",
"get (something) done",
"proceed or get along",
"give ris... | [
"engage in"
] | [
"do%2:41:01::"
] |
When solving an equation that involves division as well as other steps, do all the division steps first to reduce those parts of the equation to their numerical value. | reduce | {
"name": "reduce",
"sense_definitions_list": [
"cut down on; make a reduction in",
"make less complex",
"bring to humbler or weaker state or condition",
"simplify the form of a mathematical equation of expression by substituting one term for another",
"lower in grade or rank or force somebody i... | [
"simplify the form of a mathematical equation of expression by substituting one term for another"
] | [
"reduce%2:40:04::"
] |
Multiplication, subtraction, and addition can then be accomplished as they appear in the equation by starting at the left end of the equation and working toward the right. | accomplished | {
"name": "accomplish",
"sense_definitions_list": [
"put in effect",
"to gain with effort"
]
} | [
"put in effect"
] | [
"accomplish%2:36:00::"
] |
Multiplication, subtraction, and addition can then be accomplished as they appear in the equation by starting at the left end of the equation and working toward the right. | appear | {
"name": "appear",
"sense_definitions_list": [
"give a certain impression or have a certain outward aspect",
"come into sight or view",
"be issued or published",
"seem to be true, probable, or apparent",
"come into being or existence, or appear on the scene",
"appear as a character on stage... | [
"come into being or existence, or appear on the scene"
] | [
"appear%2:30:02::"
] |
Multiplication, subtraction, and addition can then be accomplished as they appear in the equation by starting at the left end of the equation and working toward the right. | starting | {
"name": "start",
"sense_definitions_list": [
"the beginning of anything",
"the time at which something is supposed to begin",
"a turn to be a starter (in a game at the beginning)",
"a sudden involuntary movement",
"the act of starting something",
"a line indicating the location of the star... | [
"take the first step or steps in carrying out an action"
] | [
"start%2:30:00::"
] |
Multiplication, subtraction, and addition can then be accomplished as they appear in the equation by starting at the left end of the equation and working toward the right. | working | {
"name": "work",
"sense_definitions_list": [
"activity directed toward making or doing something",
"a product produced or accomplished through the effort or activity or agency of a person or thing",
"the occupation for which you are paid",
"applying the mind to learning and understanding a subject ... | [
"proceed towards a goal or along a path or through an activity"
] | [
"work%2:41:05::"
] |
Completing the division first also includes those division parts that require multiplication, subtraction, or addition steps : * * f This would be reduced by multiplying 8 times 6 and then dividing the product by 12. | Completing | {
"name": "complete",
"sense_definitions_list": [
"come or bring to a finish or an end",
"bring to a whole, with all the necessary parts or elements",
"complete or carry out",
"complete a pass",
"write all the required information onto a form",
"having every necessary or normal part or compo... | [
"come or bring to a finish or an end"
] | [
"complete%2:30:02::"
] |
Completing the division first also includes those division parts that require multiplication, subtraction, or addition steps : * * f This would be reduced by multiplying 8 times 6 and then dividing the product by 12. | includes | {
"name": "include",
"sense_definitions_list": [
"have as a part, be made up out of",
"consider as part of something",
"add as part of something else; put in as part of a set, group, or category",
"allow participation in or the right to be part of; permit to exercise the rights, functions, and respo... | [
"consider as part of something"
] | [
"include%2:31:00::"
] |
Completing the division first also includes those division parts that require multiplication, subtraction, or addition steps : * * f This would be reduced by multiplying 8 times 6 and then dividing the product by 12. | require | {
"name": "require",
"sense_definitions_list": [
"require as useful, just, or proper",
"consider obligatory; request and expect",
"make someone do something",
"have need of"
]
} | [
"require as useful, just, or proper"
] | [
"require%2:42:00::"
] |
Completing the division first also includes those division parts that require multiplication, subtraction, or addition steps : * * f This would be reduced by multiplying 8 times 6 and then dividing the product by 12. | reduced | {
"name": "reduce",
"sense_definitions_list": [
"cut down on; make a reduction in",
"make less complex",
"bring to humbler or weaker state or condition",
"simplify the form of a mathematical equation of expression by substituting one term for another",
"lower in grade or rank or force somebody i... | [
"simplify the form of a mathematical equation of expression by substituting one term for another"
] | [
"reduce%2:40:04::"
] |
Completing the division first also includes those division parts that require multiplication, subtraction, or addition steps : * * f This would be reduced by multiplying 8 times 6 and then dividing the product by 12. | multiplying | {
"name": "multiply",
"sense_definitions_list": [
"combine by multiplication",
"combine or increase by multiplication",
"have young (animals) or reproduce (organisms)",
"have offspring or produce more individuals of a given animal or plant",
"in several ways; in a multiple manner"
]
} | [
"combine by multiplication"
] | [
"multiply%2:31:00::"
] |
Completing the division first also includes those division parts that require multiplication, subtraction, or addition steps : * * f This would be reduced by multiplying 8 times 6 and then dividing the product by 12. | dividing | {
"name": "divide",
"sense_definitions_list": [
"a serious disagreement between two groups of people (typically producing tension or hostility)",
"a ridge of land that separates two adjacent river systems",
"separate into parts or portions",
"perform a division",
"act as a barrier between; stand... | [
"perform a division"
] | [
"divide%2:31:00::"
] |
This part of the equation would then become 4. | become | {
"name": "become",
"sense_definitions_list": [
"enter or assume a certain state or condition",
"undergo a change or development",
"come into existence",
"enhance the appearance of"
]
} | [
"undergo a change or development"
] | [
"become%2:42:01::"
] |
For use in formulas, fractions should be converted to their decimal equivalents. | converted | {
"name": "convert",
"sense_definitions_list": [
"a person who has been converted to another religious or political belief",
"change from one system to another or to a new plan or policy",
"change the nature, purpose, or function of something",
"change religious beliefs, or adopt a religious belief"... | [
"change from one system to another or to a new plan or policy"
] | [
"convert%2:30:00::"
] |
The easiest way to do this is with a conversion chart. | do | {
"name": "do",
"sense_definitions_list": [
"an uproarious party",
"the syllable naming the first (tonic) note of any major scale in solmization",
"doctor's degree in osteopathy",
"engage in",
"carry out or perform an action",
"get (something) done",
"proceed or get along",
"give ris... | [
"engage in"
] | [
"do%2:41:01::"
] |
The easiest way to do this is with a conversion chart. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
Charts for this purpose are available from many sources. | are | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
They are included in all types of mathematical handbooks and they are stamped on some types of precision measuring instruments. | included | {
"name": "include",
"sense_definitions_list": [
"have as a part, be made up out of",
"consider as part of something",
"add as part of something else; put in as part of a set, group, or category",
"allow participation in or the right to be part of; permit to exercise the rights, functions, and respo... | [
"consider as part of something"
] | [
"include%2:31:00::"
] |
They are included in all types of mathematical handbooks and they are stamped on some types of precision measuring instruments. | stamped | {
"name": "stamp",
"sense_definitions_list": [
"the distinctive form in which a thing is made",
"a type or class",
"a symbol that is the result of printing or engraving",
"a small adhesive token stuck on a letter or package to indicate that that postal fees have been paid",
"something that can b... | [
"to mark, or produce an imprint in or on something"
] | [
"stamp%2:35:01::"
] |
The various mathematical processes can be simplified by carrying the results to only two or three decimal places. | simplified | {
"name": "simplify",
"sense_definitions_list": [
"make simpler or easier or reduce in complexity or extent"
]
} | [
"make simpler or easier or reduce in complexity or extent"
] | [
"simplify%2:30:00::"
] |
The various mathematical processes can be simplified by carrying the results to only two or three decimal places. | carrying | {
"name": "carry",
"sense_definitions_list": [
"the act of carrying something",
"move while supporting, either in a vehicle or in one's hands or on one's body",
"have with oneself; have on one's person",
"transmit or serve as the medium for transmission",
"serve as a means for expressing somethi... | [
"continue or extend"
] | [
"carry%2:30:05::"
] |
Shortening the results in this manner will not have any detrimental effect on the accuracy of the final result. | Shortening | {
"name": "shorten",
"sense_definitions_list": [
"make shorter than originally intended; reduce or retrench in length or duration",
"reduce in scope while retaining essential elements",
"make short or shorter",
"become short or shorter",
"edit by omitting or modifying parts considered indelicate... | [
"make shorter than originally intended; reduce or retrench in length or duration"
] | [
"shorten%2:30:01::"
] |
Some formulas contain `` constants ''. | contain | {
"name": "contain",
"sense_definitions_list": [
"include or contain; have as a component",
"contain or hold; have within",
"lessen the intensity of; temper; hold in restraint; hold or keep within limits",
"be divisible by",
"be capable of holding or containing",
"hold back, as of a danger o... | [
"include or contain; have as a component"
] | [
"contain%2:42:00::"
] |
A constant is a number that remains the same regardless of the other numbers used in the formula and the resultant equation. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"be identical to; be someone or something"
] | [
"be%2:42:06::"
] |
A constant is a number that remains the same regardless of the other numbers used in the formula and the resultant equation. | remains | {
"name": "remain",
"sense_definitions_list": [
"stay the same; remain in a certain state",
"continue in a place, position, or situation",
"be left; of persons, questions, problems, results, evidence, etc.",
"stay behind"
]
} | [
"stay the same; remain in a certain state"
] | [
"remain%2:30:00::"
] |
A constant is a number that remains the same regardless of the other numbers used in the formula and the resultant equation. | used | {
"name": "use",
"sense_definitions_list": [
"the act of using",
"what something is used for",
"a particular service",
"(economics) the utilization of economic goods to satisfy needs or in manufacturing",
"(psychology) an automatic pattern of behavior in reaction to a specific situation; may be ... | [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
] | [
"use%2:34:01::"
] |
It is a number without which the equation cannot be solved correctly. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"be identical to; be someone or something"
] | [
"be%2:42:06::"
] |
It is a number without which the equation cannot be solved correctly. | solved | {
"name": "solve",
"sense_definitions_list": [
"find the solution to (a problem or question) or understand the meaning of",
"find the solution",
"settle, as of a debt"
]
} | [
"find the solution"
] | [
"solve%2:31:01::"
] |
Rodding formulas apply to many phases of the sport. | apply | {
"name": "apply",
"sense_definitions_list": [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose",
"be pertinent or relevant or applicable",
"ask (for something)",
"apply to a surface",
"be applicable to; as to an analysis",
"give or conve... | [
"be pertinent or relevant or applicable"
] | [
"apply%2:42:00::"
] |
The answers they give can often pave the way to performance increases and, quite often, are necessary for completing entry blanks for different events. | give | {
"name": "give",
"sense_definitions_list": [
"the elasticity of something that can be stretched and returns to its original length",
"cause to have, in the abstract sense or physical sense",
"be the cause or source of",
"transfer possession of something concrete or abstract to somebody",
"conve... | [
"be the cause or source of"
] | [
"give%2:40:05::"
] |
The answers they give can often pave the way to performance increases and, quite often, are necessary for completing entry blanks for different events. | are | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
The answers they give can often pave the way to performance increases and, quite often, are necessary for completing entry blanks for different events. | completing | {
"name": "complete",
"sense_definitions_list": [
"come or bring to a finish or an end",
"bring to a whole, with all the necessary parts or elements",
"complete or carry out",
"complete a pass",
"write all the required information onto a form",
"having every necessary or normal part or compo... | [
"bring to a whole, with all the necessary parts or elements"
] | [
"complete%2:30:00::"
] |
When it is needed, one formula is as important as another. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
When it is needed, one formula is as important as another. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
However, some formulas are used more than others. | used | {
"name": "use",
"sense_definitions_list": [
"the act of using",
"what something is used for",
"a particular service",
"(economics) the utilization of economic goods to satisfy needs or in manufacturing",
"(psychology) an automatic pattern of behavior in reaction to a specific situation; may be ... | [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
] | [
"use%2:34:01::"
] |
We 'll take them in the general order of their popularity. | take | {
"name": "take",
"sense_definitions_list": [
"the income or profit arising from such transactions as the sale of land or other property",
"the act of photographing a scene or part of a scene without interruption",
"carry out",
"require (time or space)",
"take somebody somewhere",
"get into ... | [
"take into consideration for exemplifying purposes"
] | [
"take%2:31:03::"
] |
A rodder should be able to compute the displacement of his engine. | be | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
A rodder should be able to compute the displacement of his engine. | compute | {
"name": "compute",
"sense_definitions_list": [
"make a mathematical calculation or computation"
]
} | [
"make a mathematical calculation or computation"
] | [
"compute%2:31:00::"
] |
Displacement is sometimes referred to as `` swept volume ''. | referred | {
"name": "refer",
"sense_definitions_list": [
"make reference to",
"be relevant to",
"think of, regard, or classify under a subsuming principle or with a general group or in relation to another",
"send or direct for treatment, information, or a decision",
"seek information from",
"have as a... | [
"make reference to"
] | [
"refer%2:32:01::"
] |
Most entry blanks for competitive events require engine displacement information because of class restrictions. | require | {
"name": "require",
"sense_definitions_list": [
"require as useful, just, or proper",
"consider obligatory; request and expect",
"make someone do something",
"have need of"
]
} | [
"consider obligatory; request and expect"
] | [
"require%2:32:01::"
] |
It is good to be able to compute displacement so that changes in it resulting from boring and stroking can be computed. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
It is good to be able to compute displacement so that changes in it resulting from boring and stroking can be computed. | be | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
It is good to be able to compute displacement so that changes in it resulting from boring and stroking can be computed. | compute | {
"name": "compute",
"sense_definitions_list": [
"make a mathematical calculation or computation"
]
} | [
"make a mathematical calculation or computation"
] | [
"compute%2:31:00::"
] |
It is good to be able to compute displacement so that changes in it resulting from boring and stroking can be computed. | resulting | {
"name": "result",
"sense_definitions_list": [
"a phenomenon that follows and is caused by some previous phenomenon",
"a statement that solves a problem or explains how to solve the problem",
"something that results",
"the semantic role of the noun phrase whose referent exists only by virtue of the... | [
"issue or terminate (in a specified way, state, etc.); end"
] | [
"result%2:42:00::"
] |
It is good to be able to compute displacement so that changes in it resulting from boring and stroking can be computed. | computed | {
"name": "compute",
"sense_definitions_list": [
"make a mathematical calculation or computation"
]
} | [
"make a mathematical calculation or computation"
] | [
"compute%2:31:00::"
] |
Factors involved in the displacement formula are the bore diameter of the engine 's cylinders, the length of the piston stroke, the number of cylinders in the engine, and a constant. | involved | {
"name": "involve",
"sense_definitions_list": [
"connect closely and often incriminatingly",
"engage as a participant",
"have as a necessary feature",
"require as useful, just, or proper",
"contain as a part",
"occupy or engage the interest of",
"make complex or intricate or complicated... | [
"connect closely and often incriminatingly"
] | [
"involve%2:42:01::"
] |
Factors involved in the displacement formula are the bore diameter of the engine 's cylinders, the length of the piston stroke, the number of cylinders in the engine, and a constant. | are | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"have the quality of being; (copula, used with an adjective or a predicate noun)"
] | [
"be%2:42:03::"
] |
The constant is.7854, which is one-quarter of 3.1416, another constant known as `` pi ''. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"be identical to; be someone or something"
] | [
"be%2:42:06::"
] |
The constant is.7854, which is one-quarter of 3.1416, another constant known as `` pi ''. | is | {
"name": "be",
"sense_definitions_list": [
"a light strong brittle grey toxic bivalent metallic element",
"have the quality of being; (copula, used with an adjective or a predicate noun)",
"be identical to; be someone or something",
"occupy a certain position or area; be somewhere",
"have an ex... | [
"be identical to; be someone or something"
] | [
"be%2:42:06::"
] |
Pi is used in formulas concerned with the dimensions of circles. | used | {
"name": "use",
"sense_definitions_list": [
"the act of using",
"what something is used for",
"a particular service",
"(economics) the utilization of economic goods to satisfy needs or in manufacturing",
"(psychology) an automatic pattern of behavior in reaction to a specific situation; may be ... | [
"put into service; make work or employ for a particular purpose or for its inherent or natural purpose"
] | [
"use%2:34:01::"
] |
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