graph

https://tts.langeek.co/read?text=Z3JhcGg&hash=0f1ad830598873d9a0e0c2b5230ad4fdd86738cf&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=Z3JhcGg&hash=cea1155425b36b2264536ed470473d2f08a89aca&lang=en&cache-only=0&driver=googletts&accent=GB

sign

https://tts.langeek.co/read?text=c2lnbg&hash=08013425ef1564f8725d2617be856f93defe66ea&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=c2lnbg&hash=35adafb3de759053259f8dcba818f4489c093adb&lang=en&cache-only=0&driver=googletts&accent=GB

deduction

https://tts.langeek.co/read?text=ZGVkdWN0aW9u&hash=f1f2fefc00dddcc1f794114222c886e58f051b5a&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=ZGVkdWN0aW9u&hash=b39aec1a46cd45f68416ede4435b4fa7009c834d&lang=en&cache-only=0&driver=googletts&accent=GB

mathematically

https://tts.langeek.co/read?text=bWF0aGVtYXRpY2FsbHk&hash=62c122deeb0978b5269a5331e8f7881d3ed5c988&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=bWF0aGVtYXRpY2FsbHk&hash=ff78758058564d56231d894fc9fb36142add4e10&lang=en&cache-only=0&driver=googletts&accent=GB

mathematician

https://tts.langeek.co/read?text=bWF0aGVtYXRpY2lhbg&hash=07f4bee3b1bd9e5cc5b72f3a640f355366dcc48d&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=bWF0aGVtYXRpY2lhbg&hash=724e056882934ba825fd1460e38d85ea96efe568&lang=en&cache-only=0&driver=googletts&accent=GB

parallel

https://tts.langeek.co/read?text=cGFyYWxsZWw&hash=ddcb11f9608f03524d63fdd6fc3f55d2208d6442&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=cGFyYWxsZWw&hash=c2696caa0461ec55d39b5684da0361fff7e7fec4&lang=en&cache-only=0&driver=googletts&accent=GB

probability

https://tts.langeek.co/read?text=cHJvYmFiaWxpdHk&hash=dbac4ca4c3b923f3b9c3c9bdab570aea892ea4a6&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=cHJvYmFiaWxpdHk&hash=a52804850d56b096ff5bbb42d08498dd04cec1a9&lang=en&cache-only=0&driver=googletts&accent=GB

problem

https://tts.langeek.co/read?text=cHJvYmxlbQ&hash=e9c8efcb242b6ce59877e6e18bffaa2d27b671d7&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=cHJvYmxlbQ&hash=4f505d72affc321b4f5f3b38130264fe7c8700d0&lang=en&cache-only=0&driver=googletts&accent=GB

scale

https://tts.langeek.co/read?text=c2NhbGU&hash=ee626882c8fc276e9b3afa7b290612521e250806&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=c2NhbGU&hash=d6d6fe8faf603b8a2d2e7d678f460d90680ad127&lang=en&cache-only=0&driver=googletts&accent=GB

square

https://tts.langeek.co/read?text=c3F1YXJl&hash=08e3aa9376ede1a0a301c6518ec5cfbf6a817219&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=c3F1YXJl&hash=658931e02dfe852c338d7e6115fb8e20d4776792&lang=en&cache-only=0&driver=googletts&accent=GB

vertical

https://tts.langeek.co/read?text=dmVydGljYWw&hash=07011df485936b4d1dee7e3a83e5d0f7cc3d19c6&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=dmVydGljYWw&hash=d21ab15ac8ff88cca3656f74bf48ffff58d15f97&lang=en&cache-only=0&driver=googletts&accent=GB

https://tts.langeek.co/read?text=c2V0&hash=adb0347c7d747e5ff4abfadfdb3e2dc629d0307b&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=c2V0&hash=9ee52bd732e222fd70552ca8470a6a34325d2830&lang=en&cache-only=0&driver=googletts&accent=GB

axis

https://tts.langeek.co/read?text=YXhpcw&hash=aa58fe64c2a6c473caf7ecfd3196e0c640af8bf8&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=YXhpcw&hash=9d99bc6360e45b0b13f2972abcc28331aaacb81f&lang=en&cache-only=0&driver=googletts&accent=GB

A bracket [ ] is a punctuation mark used in writing to enclose information that clarifies or adds context to a statement. Brackets often indicate modifications or explanations made by someone other than the original author, such as when adding a word for clarity within a quote. In academic writing, they can denote editorial notes or citations. Brackets are also used in mathematics and programming to indicate arrays or lists. They serve to organize information and help readers understand the relationship between different elements in a text.

What is a "bracket"?

bracket

https://tts.langeek.co/read?text=YnJhY2tldA&hash=a89e800ec4d8413fed18fc262422134993152d64&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=YnJhY2tldA&hash=37ee8d902f2d8cabaae930a2de5f748f384c8390&lang=en&cache-only=0&driver=googletts&accent=GB

equation

https://tts.langeek.co/read?text=ZXF1YXRpb24&hash=29e3fd201d6506cfc1881e932f805781094ffc40&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=ZXF1YXRpb24&hash=b5756d4de7ee032b75e2044d1340eb65b9b98176&lang=en&cache-only=0&driver=googletts&accent=GB

to deduce

https://tts.langeek.co/read?text=dG8gZGVkdWNl&hash=ea21903d8467ee8c6f8fe44b748723f7233d3bbb&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=dG8gZGVkdWNl&hash=52d0fbd1ca195b86b394ac56589ce684391395b6&lang=en&cache-only=0&driver=googletts&accent=GB

formula

https://tts.langeek.co/read?text=Zm9ybXVsYQ&hash=572e83ed7ee5ad25f8706b6018a5c13ff76edc55&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=Zm9ybXVsYQ&hash=fc39858af5aa90bb9c2a7c37a12203b2055d91e9&lang=en&cache-only=0&driver=googletts&accent=GB

function

https://tts.langeek.co/read?text=ZnVuY3Rpb24&hash=c477caa94f60c6885a1b0d1b5ab90b4dbb2a4eec&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=ZnVuY3Rpb24&hash=40d9380a323f461eccec89db8f751d7fe15bcb76&lang=en&cache-only=0&driver=googletts&accent=GB

ratio

https://tts.langeek.co/read?text=cmF0aW8&hash=4ee87a259db3aa3708eef755ddf4c08cd92d2f44&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=cmF0aW8&hash=dbd3dc451153f3d7ea156e84a12e5b3cf0ef46a2&lang=en&cache-only=0&driver=googletts&accent=GB

segment

https://tts.langeek.co/read?text=c2VnbWVudA&hash=c1c6a4f90e8ee3e23890e70330ce10b6eeab4421&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=c2VnbWVudA&hash=944a037e97eabc33bfe8ebc417fb7283bde3c55a&lang=en&cache-only=0&driver=googletts&accent=GB

asymmetric

https://tts.langeek.co/read?text=YXN5bW1ldHJpYw&hash=44cdfd182e3ae2662adfc2183d83fe61699b6a59&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=YXN5bW1ldHJpYw&hash=40b03c8203835eef5c328169249ddd035445c435&lang=en&cache-only=0&driver=googletts&accent=GB

induction

https://tts.langeek.co/read?text=aW5kdWN0aW9u&hash=44ab421550fc2735d578a835a8e5f1519da9c055&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=aW5kdWN0aW9u&hash=df52fc03e6b81be1b84e740eec0f0d2c53333d99&lang=en&cache-only=0&driver=googletts&accent=GB

to divide

https://tts.langeek.co/read?text=dG8gZGl2aWRl&hash=cf02d735c16bed582bff468ef1f305c6fd37bc51&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=dG8gZGl2aWRl&hash=008b47ca7491b674d64c2bf56573a858cc9f280e&lang=en&cache-only=0&driver=googletts&accent=GB

percentage

https://tts.langeek.co/read?text=cGVyY2VudGFnZQ&hash=41fbbaf673c00db4ba1ba1b2990b2886bb28ec10&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=cGVyY2VudGFnZQ&hash=78c2dc1d28bf69a83830687c8252d214a8c9aee0&lang=en&cache-only=0&driver=googletts&accent=GB

Algebra is a branch of mathematics that uses symbols and letters to represent numbers and quantities in equations and formulas. It helps solve problems involving unknown values by manipulating these symbols according to mathematical rules. Algebra is widely used in fields like science, engineering, and finance to model relationships and solve real-world problems.

What is "algebra"?

algebra

https://tts.langeek.co/read?text=YWxnZWJyYQ&hash=f57b1fe7e25590079aa06910541f5e914762080e&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=YWxnZWJyYQ&hash=6f02214c2a8c346ec68d69effb4fd48bf85b1a0d&lang=en&cache-only=0&driver=googletts&accent=GB

Calculus is a branch of mathematics that deals with change and motion, focusing on concepts like limits, derivatives, and integrals. It helps to understand how things change over time or how they accumulate, such as in physics or economics. Calculus is essential for solving problems involving rates of change, areas under curves, and optimization.

What is "calculus"?

calculus

https://tts.langeek.co/read?text=Y2FsY3VsdXM&hash=ff6f5cc981d53aa93133810bb532c611b4866ff6&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=Y2FsY3VsdXM&hash=f001ab6ca25e4e113e119cb058a2d8099a084cab&lang=en&cache-only=0&driver=googletts&accent=GB

Geometry is the branch of mathematics that deals with the study of shapes, sizes, properties, and the relationships between them. It includes concepts such as points, lines, angles, surfaces, and solids, as well as their measurements and transformations. Geometry is used to analyze and describe the physical world, from simple two-dimensional shapes like triangles and circles to complex three-dimensional structures such as polyhedra and spheres. It plays a crucial role in fields like architecture, engineering, physics, and computer graphics, providing the foundation for understanding relationships in space and solving practical problems.

What is "geometry"?

geometry

https://tts.langeek.co/read?text=Z2VvbWV0cnk&hash=864a73cd785036cc5488eacc1c9510d0bb824002&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=Z2VvbWV0cnk&hash=9714f7dafb1d9e37c6e1dd8aa39986c0d7f7a46e&lang=en&cache-only=0&driver=googletts&accent=GB

Arithmetic is the branch of mathematics that deals with basic number operations such as addition, subtraction, multiplication, and division. It forms the foundation for more advanced mathematical topics and is used in everyday tasks like shopping, budgeting, and time management. It focuses on solving simple numerical problems and understanding basic number concepts.

What is "arithmetic"?

arithmetic

https://tts.langeek.co/read?text=YXJpdGhtZXRpYw&hash=4a7299a96c02895f9e30cb20238515ed0d333c68&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=YXJpdGhtZXRpYw&hash=172c934041d174c886049e5503fd9b798a7fb86b&lang=en&cache-only=0&driver=googletts&accent=GB

mean

https://tts.langeek.co/read?text=bWVhbg&hash=4ae69d872e85121e5c7ef5467641f1fd062fb49c&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=bWVhbg&hash=6db2098630ddd32f58cbbc1332d3925415e46e2d&lang=en&cache-only=0&driver=googletts&accent=GB

variable

https://tts.langeek.co/read?text=dmFyaWFibGU&hash=a1ef115233a705b4b32ff8c076be2f8a1ba373f6&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=dmFyaWFibGU&hash=9c463c476173b91ff4036cbf2f510784bda94a6b&lang=en&cache-only=0&driver=googletts&accent=GB

normal distribution

https://tts.langeek.co/read?text=bm9ybWFsIGRpc3RyaWJ1dGlvbg&hash=371c55e7382ca6337de574d2defa3e848a4b2a96&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=bm9ybWFsIGRpc3RyaWJ1dGlvbg&hash=070128272c988d647d2ec5ba5ff593172d1773ec&lang=en&cache-only=0&driver=googletts&accent=GB

correlation coefficient

https://tts.langeek.co/read?text=Y29ycmVsYXRpb24gY29lZmZpY2llbnQ&hash=8e3d28a23be7c9eabfebe22da6e2e3a48785180c&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=Y29ycmVsYXRpb24gY29lZmZpY2llbnQ&hash=cc19ebbf22f161f26f7d4328f6461e7b52e01993&lang=en&cache-only=0&driver=googletts&accent=GB

dependent variable

https://tts.langeek.co/read?text=ZGVwZW5kZW50IHZhcmlhYmxl&hash=198d632ffaa4c63a66b15a9fed78a18336da5587&lang=en&cache-only=0&driver=googletts

https://tts.langeek.co/read?text=ZGVwZW5kZW50IHZhcmlhYmxl&hash=8472ddb75631fc4e3f5fc9e6161b348bd6369f00&lang=en&cache-only=0&driver=googletts&accent=GB

Here you will learn some English words about cause and effect, such as "deduction", "vertical", "segment", etc. that are needed for the IELTS exam.

数学与统计学

与“数学与统计”相关的词汇 | IELTS 学术词汇

Lesson 16

Mathematics and Statistics

Words related to "Mathematics and Statistics" | IELTS Academic Vocabulary

https://tts.langeek.co/read?text=6YCC5ZCI5ZCE5Liq5rC05bmz5a2m5Lmg6ICF55qE57u85ZCI5bmz5Y-w&hash=e2a0c259f783ac944a068de4eb190a068656e493&lang=zh&cache-only=0

https://tts.langeek.co/read?text=5YWz5LqOTGFuR2Vlaw&hash=43eb1061e3866ff9e0e56a4552d86d97e765ab04&lang=zh&cache-only=0

https://tts.langeek.co/read?text=5oq96LGh&hash=92b0f5cce7638c8e36157c9c6546bf1ae6b3335d&lang=zh&cache-only=0

https://tts.langeek.co/read?text=5a6M5oiQ5Lu75Yqh5ZCO77yM5oKo5bCG6I635b6X5b6956ug5L2c5Li65oiQ5bCx5aWW5Yqx44CCIOiOt-W-l-W-veeroOWPr-S7pei1muWPlue0q-iJsuWuneefs--8gQ&hash=3125c3526bd3ddf2ff7e4b6492977ea2937987a6&lang=zh&cache-only=0

https://tts.langeek.co/read?text=54K55Ye75Y2V6K-N5p-l55yL55u45YWz5L-h5oGv44CC&hash=2bceb4b4db1383f561670f324e77eaceab5cc78b&lang=zh&cache-only=0

https://tts.langeek.co/read?text=5Zyo6L-Z6YeM77yM5oKo5Y-v5Lul5om-5Yiw5bi46KeB6Iux6K-t5pCt6YWN5ZKM5aSN5ZCI6K-N57uT5p6E55qE5YiG57G75YiX6KGo44CC&hash=213f47df3e2e8833ba904b15624c152cd96ad7d7&lang=zh&cache-only=0

https://tts.langeek.co/read?text=6Iux6K-t5pCt6YWN&hash=c9143c11d597a41bd3d097e7f5d2d40c48914602&lang=zh&cache-only=0

https://tts.langeek.co/read?text=6L-Z5LqbIGNvb2tpZSDkvb_nvZHnq5nog73lpJ_mj5Dkvpvlop7lvLrnmoTlip_og73lkozkuKrmgKfljJbjgILlpoLmnpzmgqjkuI3lhYHorrjov5nkupsgY29va2ll77yM5YiZ5p-Q5Lqb5oiW5omA5pyJ6L-Z5Lqb5pyN5Yqh5Y-v6IO95peg5rOV5q2j5bi46L-Q6KGM44CC&hash=717fde43f80fcc43b5661f4628db0c23f26bc151&lang=zh&cache-only=0

https://tts.langeek.co/read?text=6L-Z5LqbIGNvb2tpZSDluK7liqnmiJHku6zkuobop6Porr_pl67ogIXlpoLkvZXkuI7miJHku6znmoTnvZHnq5nkupLliqjvvIzkvb_miJHku6zog73lpJ_ooaHph4_lkozmlLnov5vmiJHku6znvZHnq5nnmoTmgKfog73jgIIg5a6D5Lus5o-Q5L6b5pyJ5YWz6K6_6Zeu5pyA5aSa5ZKM5pyA5bCR55qE6aG16Z2i55qE5L-h5oGv77yM5bm26Lef6Liq6K6_6Zeu6ICF5Zyo572R56uZ5ZGo5Zu055qE56e75Yqo5oOF5Ya144CCIOi_meS6myBjb29raWUg5Y-v6IO955Sx5oiR5Lus5oiW5oiR5Lus5Zyo6aG16Z2i5LiK5L2_55So5YW25pyN5Yqh55qE56ys5LiJ5pa55o-Q5L6b5ZWG6K6-572u44CCIOWmguaenOaCqOS4jeWFgeiuuOi_meS6myBjb29raWXvvIzmiJHku6zlsIbml6Dms5Xnm5HmjqfmgqjnmoTorr_pl67lubbmlLnov5vnvZHnq5nnmoTmgKfog73jgII&hash=df5f2955f46d75eb4c0fe156d637642fc369db9c&lang=zh&cache-only=0

https://tts.langeek.co/read?text=6L-Z5LqbY29va2ll55So5LqO5ZCR5oKo5o-Q5L6b5pu055u45YWz55qE5bm_5ZGK44CC5a6D5Lus5Y-v6IO96YCa6L-H5oiR5Lus55qE572R56uZ55Sx5oiR5Lus5oiW5oiR5Lus55qE5bm_5ZGK5ZCI5L2c5LyZ5Ly06K6-572u44CC6L-Z5LqbY29va2ll5pyJ5Yqp5LqO5bu656uL5oKo55qE5YW06Laj5qGj5qGI77yM5bm25Zyo5oiR5Lus55qE572R56uZ5ZKM5YW25LuW572R56uZ5LiK5ZCR5oKo5bGV56S655u45YWz5bm_5ZGK44CC6Jm954S25a6D5Lus5LiN5Lya55u05o6l5a2Y5YKo5Liq5Lq65L-h5oGv77yM5L2G5a6D5Lus5L6d6LWW5LqO5ZSv5LiA6K-G5Yir5oKo55qE5rWP6KeI5Zmo5ZKM5LqS6IGU572R6K6-5aSH44CC&hash=11d3a6fcd54b70021afeebb71ba73abcbb6f9358&lang=zh&cache-only=0

https://tts.langeek.co/read?text=6K-N5rGH5a2m5Lmg55qE6L-Z5LiA6Zi25q615L6n6YeN5LqO5rWL6K-V5a2m5Lmg6ICF55qE5Y2V6K-N6K6w5b-G6IO95Yqb44CC&hash=87a6f566a667016d88e6f6e62217b829c0188b05&lang=zh&cache-only=0

https://tts.langeek.co/read?text=6K-N5rGH5a2m5Lmg55qE6L-Z5LiA6Zi25q615o-Q5L6b5a-55a2m5Lmg6ICF6K-N5rGH55-l6K-G55qE6K-E5Lyw77yM5bm25o-Q5L6b5Y-N6aaI44CC&hash=725af960d49462cfe73b1479dc4b8a21e553fa0e&lang=zh&cache-only=0

https://tts.langeek.co/read?text=5p-l55yLIExhbkdlZWsg55So5oi3576k55qE5omp5bGV77yM5q-P5pyI5pi-56S65Lik5L2N5pWw55qE5aKe6ZW_44CC6K-35Zyo5LiL5pa55om-5Yiw5pu05aSa55So5oi355u45YWz57uf6K6h5pWw5o2u44CC&hash=d8038ffedfd2646a670ae1ae36684e8449eea1a9&lang=zh&cache-only=0

https://tts.langeek.co/read?text=5q2k5Yqf6IO95YWB6K6455So5oi35LuOIExhbkdlZWsg55qE5bm_5rOb6K-N5rGH5YiX6KGo5Lit5Yib5bu66Ieq5a6a5LmJ5Y2V6K-N5YiX6KGo44CC&hash=0114360b101ecc328b8b8e17276542463d47bc09&lang=zh&cache-only=0

https://tts.langeek.co/read?text=5a2m5Lmg5Y-R6Z-z5qaC5b-177yM5bm25o6i57Si5LiO6K-t5rOV5ZKM55So5rOV55u45YWz55qE5bi46KeB6Zeu6aKY44CC&hash=12175fe6e75d45cc113e5385126db6f4e03d7679&lang=zh&cache-only=0

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